I hope you all have a wonderful summer! Thanks for a great year. Your hard work and positive attitude have been much appreciated. I will miss you all.

Mrs. Bowman

posted on: May 26, 2006

The End of Course Test will be given on these days from 10:30 to 11:40 in the MacLab. During class, students will be able to read silently, or work on other assignments from classes they missed in order to take the test.

posted on: May 08, 2006

For the next 10 days, students will be working on a project to make a bridge out of toothpicks. Students will be placed in groups of 5 people. Each person will choose a job to do for their construction company. The majority of the work will be completed in class. Once in a while, you may have to finish up whatever was not done in class.

**HW:**

During this project, i recommend that students spend time reviewing each chapter in the book in order to prepare for the final exam. The chapter review is a good resource.

posted on: May 04, 2006

Today we continued reviewing for our End Of Course Test. This test will be given to Geometry students on Monday and Tuesday, May 8th and 9th from 10:30 to 11:40. Class time on those days will be used for students to complete the assignments they will miss in their 2nd and 3rd period classes.

**HW:**

EOCT Review packet

posted on: May 02, 2006

Today we continued reviewing for our End Of Course Test. This test will be given to Geometry students on Monday and Tuesday, May 8th and 9th from 10:30 to 11:40 in the Mac Lab. Class time on those days will be used for students to complete the assignments they will miss in their 2nd and 3rd period classes.

**HW:**

EOCT Review packet

posted on: May 02, 2006

Today we took reviewed the material in Ch 12.

**Skills:**

find the surface area of prisms

find the surface area of pyramids

find the surface areas of circular solids

find the volume of right rectangular prisms

find the volumes of other prisms

find the volumes of cylinders

use the area of a prism's or a cylinder's cross section to find the solid's volume

find the volume of pyramids

find the volume of cones

solve problems involving cross sections of pyramids and cones

find the volume of spheres

**HW:**

p. 594 (1-14, 18)

posted on: May 01, 2006

Today we learned how to find the volume of a sphere.

**Skills:**

find the volume of spheres

**HW:**

p.585 (7-9, 11,14)

p.589 (2-7, 9)

posted on: April 28, 2006

Today we are working on volume.

**Skills:**

find the volume of right rectangular prisms

find the volumes of other prisms

find the volumes of cylinders

use the area of a prism's or a cylinder's cross section to find the solid's volume

find the volume of pyramids

find the volume of cones

solve problems involving cross sections of pyramids and cones

**HW**:

p. 579 (1-10, 12)

p. 585 (1,5, 6)

posted on: April 27, 2006

Today we worked with the surface area of circular solids.

**Skills:**

find the surface areas of circular solids

**HW:**

p.567 (5-7, 10,11)

p.572 (2-6, 8-11)

posted on: April 26, 2006

Today we started Ch 12 - Surface Area and Volume. We discussed surface area of prisms and pyramids.

**Skills:**

find the surface area of prisms

find the surface area of pyramids

**HW:**

p.563 (1c, 2b, 3, 4b, 5b, 6,7cd)

p.567 (1-4)

posted on: April 25, 2006

Today we took the Ch 11 Test.

**Skills:**

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

find the areas of equilateral triangles

find the areas of other regular polygons

find the area of circles

find the area of sectors

find the area of segments

find the ratios of areas by calculating and comparing the area

find ratios of areas by applying properties of similar figures

**HW:**

none

posted on: April 24, 2006

Today we finished reviewing for the Ch 11 Test.

**Skills:**

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

find the areas of equilateral triangles

find the areas of other regular polygons

find the area of circles

find the area of sectors

find the area of segments

find the ratios of areas by calculating and comparing the area

find ratios of areas by applying properties of similar figures

**HW:
**Study for test (on Monday)

posted on: April 21, 2006

Today we reviewed for Ch 11 Test.

**Skills:**

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

find the areas of equilateral triangles

find the areas of other regular polygons

find the area of circles

find the area of sectors

find the area of segments

find the ratios of areas by calculating and comparing the area

find ratios of areas by applying properties of similar figures

**HW:**

Review worksheets (optional)

Test

posted on: April 20, 2006

Today we reviewed for the Ch 11 Test.

**Skills:**

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

find the areas of equilateral triangles

find the areas of other regular polygons

find the area of circles

find the area of sectors

find the area of segments

find the ratios of areas by calculating and comparing the area

find ratios of areas by applying properties of similar figures

**HW:**

p.554 (1-29 omit 26) due Fri

Test Monday

posted on: April 18, 2006

Today we found the ratios of the areas of polygons.

**Skills:**

find the ratios of areas by calculating and comparing the area

find ratios of areas by applying properties of similar figures

**HW:**

p.546 (1ac, 2ac, 3-17)

Test Monday, April 24th

posted on: April 17, 2006

Today we discussed area of circles, segments and sectors.

**Skills:**

find the area of circles

find the area of sectors

find the area of segments

**HW:**

p.539 (1-12, omit 8, 14abc, 15)

posted on: April 14, 2006

Today we took a quiz on 11.1 to 11.5.

**Skills:**

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

find the areas of equilateral triangles

find the areas of other regular polygons

**HW:**

p. 533 due Fri

EOCT review due Fri

posted on: April 13, 2006

Today we worked with the area of regular polygons.

**Skills:**

find the areas of equilateral triangles

find the areas of other regular polygons

HW:

p.533 (2bd, 3bd, 4bd, 5,6,9,15,17a)

Quiz 11.1 to 11.5 on Thursday

posted on: April 12, 2006

Today we worked with the area of regular polygons.

**Skills:**

find the areas of equilateral triangles

find the areas of other regular polygons

HW:

p.533 (2bd, 3bd, 4bd, 5,6,9,15,17a)

Quiz 11.1 to 11.4 on Thursday

posted on: April 12, 2006

Today we worked on the area of trapezoids and kites.

**Skills:**

find the areas of trapezoids

use the measure of a trapezoid's median to find its area

find the areas of kites

**HW:**

p. 525 (3-6, 9-12)

p. 529 (2-9)

Quiz Thursday

posted on: April 11, 2006

Today we began Ch 11 on Area. We discussed area of rectangles, squares, parallelograms and triangles.

Skills:

understand the basic concepts of area

find the areas of rectangles and squares

use the basic properties of area

find the area of parallelograms and triangles

HW:

p. 514 (6-13 omit 12)

p. 519 (3,5,10,15-20)

posted on: April 10, 2006

Here is the assignment guide for Ch 11.

Geometry Assignment Guide Ch11.doc

posted on: April 10, 2006

We are reviewing for our End of Course Test today and tomorrow. We are using a practice test. Our EOCT will be on May 9th and 10th.

posted on: March 30, 2006

Today we took our Ch 10 Test.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

recognize inscribed and circumscribed polygons

apply the relationship between opposite angles of an inscribed quadrilateral

identify the characteristics of an inscribed parallelogram

apply the power theorems

determine the circumference of a circle

determine the length of an arc

**HW:**

none

posted on: March 29, 2006

Today we finished reviewing for our Ch 10 test.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

recognize inscribed and circumscribed polygons

apply the relationship between opposite angles of an inscribed quadrilateral

identify the characteristics of an inscribed parallelogram

apply the power theorems

determine the circumference of a circle

determine the length of an arc

**HW:**

Review Worksheets

Ch 10 Test Wed

Project due Wed

posted on: March 28, 2006

Today we reviewed for our Ch 10 Test.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

recognize inscribed and circumscribed polygons

apply the relationship between opposite angles of an inscribed quadrilateral

identify the characteristics of an inscribed parallelogram

apply the power theorems

determine the circumference of a circle

determine the length of an arc

**HW:**

p. 505 (1-8, 10, 12, 14,15, 17, 25)

Test Tuesday

Project due Tuesday

posted on: March 27, 2006

Today we worked with the circumference and arc length of a circle. We learned this in a previous chapter, so this is actually review.

**Skills**:

determine the circumference of a circle

determine the length of an arc

**HW:**

p. 501 (1,2ab,3ab,4b,5,6,8,10,13,15)

posted on: March 24, 2006

Today we worked with the Power Theorems.

**Skills:**

apply the power theorems

**HW:**

p.495 (1-16)

posted on: March 23, 2006

Today we discussed inscribed and circumscribed polygons.

**Skills:**

recognize inscribed and circumscribed polygons

apply the relationship between opposite angles of an inscribed quadrilateral

identify the characteristics of an inscribed parallelogram

**HW:**

p.489 (1-9, 11, 12, 14, 15,17)

Circle Project - due Mar 28th

posted on: March 22, 2006

Today we took our Quiz over 10.1 to 10.5.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

**HW:**

p.434 (1-21)

posted on: March 21, 2006

Today we took our Quiz over 10.1 to 10.5.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

**HW:**

p.434 (1-21)

posted on: March 21, 2006

Today we learned some theorems dealing with angles and arcs in a circle.

**Skills:**

recognize congruent inscribed and tangent-chord angles

determine the measure of an angle inscribed in a semicircle

apply the relationship between the measures of a tangent-tangent angle and its minor arc

**HW:**

p.481 (1-16)

Quiz 10.1 to 10.5 Tuesday

posted on: March 20, 2006

Today we reviewed for the CRCT

**HW:**

CRCT Review #4

Quiz 10.1 to 10.5 Tuesday

posted on: March 17, 2006

Here is a link to the Georgia Department of Education testing page which has 3 practice booklets for the EOCT. Go to the bottom of the page and find "Geometry Part A", "Geometry Part B", and "Geometry Part C". Georgia DOE Testing

We will be using the practice test in class.

posted on: March 17, 2006

Here is a link to the Georgia Department of Education testing page which has 3 practice booklets for the EOCT. Go to the bottom of the page and find "Geometry Part A", "Geometry Part B", and "Geometry Part C". Georgia DOE Testing

We will be using the practice test in class.

posted on: March 17, 2006

Today we continued working with angles related to circles.

**Skills:**

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

**HW:**

p. 475 (19-24, 30)

p. 525 (13-36)

Quiz Tuesday

posted on: March 16, 2006

Today we learned about the angles related to circles.

**Skills:**

determine the measure of central angles

determine the measure of inscribed and tangent-chord angles

determine the measures of chord-chord angles

determine the measures of secant-secant, secant-tangent, and tangent - tangent angles

**HW:**

p. 473 (1-10, 12-17)

posted on: March 15, 2006

Pi Day! Today we did activities with circles.

**HW:**

CRCT Review #3

posted on: March 14, 2006

Today we continued to work with secants and tangents.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

**HW:**

p. 464 - 466

(6,10 - 12, 14, 16, 17, 19)

Pi day Tuesday (bring a drink for yourself, and a circular snack to share)

posted on: March 13, 2006

Today we learned about secant and tangent segments.

**Skills:**

- identify secant and tangent lines

- identify secant and tangent segments

- distinguish between 2 types of tangent circles

- recognize common internal and common external tangents

**HW:**

p. 463 (1-3, 5,7,13)

Pi day Tuesday (bring a drink and a circular food to share)

posted on: March 10, 2006

Today we discussed the arcs of a circle.

**Skills:**

- identify the different types of arcs

- determine the measure of an arc

- recognize congruent arcs

- apply the relationships between congruent arcs, chords, and central angles

**HW:**

p. 454 (1-6, 9-13, 17-19)

posted on: March 09, 2006

Today we discussed the basics of circles.

**Skills:**

apply the relationship between congruent chords of a circle

identify the characteristics of circles

recognize chords and diameters of circles

recognize special relationships between radii and chords

**HW:**

p. 443 (5,6,11,12,14,17)

p. 447 (2,3,6a,11-13)

posted on: March 08, 2006

Today we took the Ch 9 Test.

**Skills:**

simplify radical expressions

solve quadratic equations

solve problems using circles

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

use the distance formula to compute lengths of segments in the coordinate plane

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

apply the pythagorean theorem to solid figures

understand three basic trigonometric relationships

use trigonometric ratios to solve right triangles

**HW:**

none

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: March 07, 2006

Today we finished reviewing for the Ch 9 Test.

**Skills:**

simplify radical expressions

solve quadratic equations

solve problems using circles

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

use the distance formula to compute lengths of segments in the coordinate plane

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

apply the pythagorean theorem to solid figures

understand three basic trigonometric relationships

use trigonometric ratios to solve right triangles

**HW:**

p.430 (15-30)

Test Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: March 06, 2006

Today we started reviewing for the Ch 9 Test.

**Skills:**

simplify radical expressions

solve quadratic equations

solve problems using circles

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

use the distance formula to compute lengths of segments in the coordinate plane

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

apply the pythagorean theorem to solid figures

understand three basic trigonometric relationships

use trigonometric ratios to solve right triangles

**HW:**

p.429 (1-14)

Test Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: March 03, 2006

Today we continued using trig ratios.

**Skills:**

use trigonometric ratios to solve right triangles.

**HW:**

ws 7.3 A

Test Ch 9 Tuesday Mar 2nd

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: March 02, 2006

Today we used trig ratios to solve right triangles.

**Skills:
**use trigonometric ratios to solve right triangles

**HW:**

p.425 (3-12)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: March 01, 2006

Today we began learning about trigonometry.

**Skills:**

understand three basic trigonometric relationships

**HW:**

p.420 (1-9, 12-16, 18)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 28, 2006

Today we worked with space figures. We used them to help us practice applying the pythagorean theorem.

**Skills:**

apply the pythagorean theorem to solid figures

**HW:**

p.414 91-3, 5-7, 9,11,12,16)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 27, 2006

Today we took a quiz on lessons 9.1 to 9.7.

**Skills:**

simplify radical expressions

solve quadratic equations

solve problems using circles

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

use the distance formula to compute lengths of segments in the coordinate plane

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

**HW:**

CRCT Review #2

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 24, 2006

Today we will continue learning how to solve problems dealing with special right triangles.

**Skills:**

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

**HW:
**ws Act 3-11 in class

p.409 (13, 15, 16, 18, 19, 22, 25)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 23, 2006

Today we learned about special right triangles.

**Skills:**

identify the ratio of side lengths in a 30-60-90 triangle

identify the ratio of side lengths in a 45-45-90 triangle

**HW:**

p.408(1-12, omit 11)

Quiz Fri (9.1 - 9.7)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 22, 2006

Today we reviewed lesson 9.5 and 9.6.

**Skills:**

use the distance formula to compute lengths of segments in the coordinate plane

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

**HW:**

p.395 (13-16, 18, 22,23)

p.402 (9-18)

Quiz Friday (9.1 - 9.7)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 21, 2006

Today we learned about families of right triangles.

**Skills:**

recognize groups of whole numbers known as Pythagorean triples

apply the Principle of the Reduced Triangle

**HW:**

p.401 (1-8)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 16, 2006

Today we worked with the distance formula.

**Skills:**

use the distance formula to compute lengths of segments in the coordinate plane

**HW:**

p.394 (1ace, 2,3,5-11)

ws - Distance Formula

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 15, 2006

Today we took a quiz over lessons 9.1 to 9.4.

**Skills:**

simplify radical expressions

solve quadratic equations

solve problems using circles

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

**HW**:

CRCT Review #1

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 14, 2006

Today we are combining lesson 9.3 and 9.4 together.

**Skills:**

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

use the pythagorean theorem and its converse

**HW:**

p.379 (3de, 5,16,17a)

p.388 (17, 20, 22-24)

ws - "What type of Triangle?"

Quiz Tuesday 9.1 - 9.4

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles:Use/Properties

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 13, 2006

Today we discussed the Pythagorean Theorem.

**Skills:**

use the pythagorean theorem and its converse

**HW:**

p.387 (1aceg, 2-10, 12ac, 13-15)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.12 Pythagorean Theorem: State/Apply

GEO 4.13 Right Triangles: Recognize

GEO 4.14 Problem Solving: Trigonometry

GEO 4.24 Right Triangles:Use/Properties

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 10, 2006

Today we learned about the relationship of the sides of a right triangle when an altitude is drawn.

**Skills:**

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

**HW:**

p. 379 (1, 3abc, 4cd, 8-14)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles:Use/Properties

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 09, 2006

Today we learned about the relationship of the sides of a right triangle when an altitude is drawn.

**Skills:**

identify the relationships between the parts of a right triangle when an altitude is drawn to the hypotenuse

**HW:**

p. 379 (1, 3abc, 4cd, 8-14)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 4.7 Right Triangles: Identify

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles:Use/Properties

GEO 4.25 Right Triangles: Identify/Evaluate

posted on: February 09, 2006

Today we reviewed circles.

**Skills:**

find circumference and area of circles

find length and measure of arcs and sectors of circles

**HW:**

p.374 (1-12,15)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

GEO 3.4 Circles:Identify/Define

GEO 4.26 Circumference: Recognize/Circle

posted on: February 08, 2006

Today we learned how to determine if triangles are similar.

**Skills:**

-identify similar triangles

**HW:**

wkbk 5-6 Study Guide and Practice

Notebook due on Wednesday

Test Ch 5 Thursday

**Georgia Standards:**

MBAG 9.5 Angles: Find/Identify

MBAG 13.2 Mathematical Concepts: Explain

MBAG 9.2 Triangles: Problem Solving/Sum of Angles

MBAG 9.1 Congruence/Similarity: Properties

posted on: February 07, 2006

Today we took the Ch 8 test.**
**

**
Skills:
**

**
**-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

-identify characteristics of similar figures

-use several methods to prove that triangles are similar

-use the concept of similarity to establish the congruence of angles and the proportionality of segments

-apply 3 theorems frequently used to establish proportionality

**HW:**

none

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: February 07, 2006

Here is the assignment guide for Ch 9.

Geometry Assignment Guide Ch9.doc

posted on: February 07, 2006

Today we started Ch 9. This is a lengthy chapter with a lot of new information. Make sure you keep up and ask questions when you have them. Bring your calculators with you each day. We started with a review of radicals and the quadratic formula.

**Skills:**

simplify radical expressions

solve quadratic equations

**HW:
**p.368 (2-4, 5bd, 6bdf, 7bdf, 8bd, 9-13) (due Wednesday)

Test Ch 8 Tuesday

Study session is planned for Tuesday morning at 8:15 as long as I am over the flu.

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 2.8 Formulas

posted on: February 06, 2006

Today we reviewed for the Ch 8 Test.

**Skills:**

-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

-identify characteristics of similar figures

-use several methods to prove that triangles are similar

-use the concept of similarity to establish the congruence of angles and the proportionality of segments

-apply 3 theorems frequently used to establish proportionality

**HW:**

p.361-364 (8-15, 18, 19, 25, 26, 28, 29)

Test Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: February 03, 2006

Today we continued to practice using the 3 proportionality theorems.

**Skills:**

-apply 3 theorems frequently used to establish proportionality

**HW:**

p. 356 - 359 (9, 11-15, 20-22, 30)

p. 361 (1-7)

Test Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: February 02, 2006

Today we took our quiz on 8.1 to 8.4.**
**

**
Skills:
**

**
-recognize and work with ratios
-recognize and work with proportions
-apply the product and ratio theorems
-calculate geometric mean
-identify characteristics of similar figures
-use several methods to prove that triangles are similar
-use the concept of similarity to establish the congruence of angles and the proportionality of segments
**

**
**

**HW:**

Practice Test due Fri

Test Ch 8 Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: February 01, 2006

Today we learned 3 new theorems about proportions.

**Skills:**

-apply 3 theorems frequently used to establish proportionality

**HW:**

p.354-355 (1-8) due Thursday

Practice Test due Friday

Quiz Wednesday

Test Ch 8 Monday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 31, 2006

Today we continued to work with congruence and proportions in similar triangles.

**Skills:**

-use the concept of similarity to establish the congruence of angles and the proportionality of segments

**HW:**

p. 348-350 (2,8,10-12, 14, 17, 20)

ws Practice 8.1 through 8.3

Quiz Wednesday (8.1 to 8.4) (the class voted to postpone the quiz to Wednesday.

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 30, 2006

Today we worked with the similar triangles to find the congruent angles and proportional sides.

**Skills:**

-use the concept of similarity to establish the congruence of angles and the proportionality of segments

**HW:**

p.343 (16-18)

p.347 - 348 (1,3,5,9)

Quiz Tuesday

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 27, 2006

Here is the extra credit assignment offered in class today. This is optional and is due by February 27th.

Extra Credit Logic Puzzles.doc

posted on: January 27, 2006

Today we began proving triangles are similar.

**Skills:**

-use several methods to prove that triangles are similar

**HW:**

p. 341 - 342 (2,3,6-10, 16-18)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 26, 2006

Today we discussed the concept of similarity.

**Skills:**

-identify characteristics of similar figures

**HW:**

p. 336 - 338 (3-6, 8-16, omit 14)

**Georgia Standards:
**GEO 3.7 Geometric Terms: State /Apply

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 4.9 Similarity: Properties

GEO 4.22 Similarity: Triangles

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 25, 2006

Today we practiced using the ratio and proportion theorems.

**Skills:**

-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

**HW: **

p.330-331 (12-18, 20-22, 24-26)

**Georgia Standards:**

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 24, 2006

Here is the assignment guide for chapter 8.

Geometry Assignment Guide Ch8.doc

posted on: January 23, 2006

Today we began our chapter on similarity by reviewing ratios and proportions.

**Skills:**

-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

**
HW:**

p.329-330

**Georgia Standards:**

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 23, 2006

Today we began our chapter on similarity by reviewing ratios and proportions.

**Skills:**

-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

**
HW:**

p.329-330 (2,3ac,4,5,6ab,7-11)

**Georgia Standards:**

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 23, 2006

Today we began a unit on similarity by reviewing ratios and proportions.

**
Skills:**

-recognize and work with ratios

-recognize and work with proportions

-apply the product and ratio theorems

-calculate geometric mean

**Georgia Standards:**

GEO 4.5 Theorems: Apply/State

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.1 Reasoning: Apply/Informal/Informal

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

posted on: January 23, 2006

This week we will work on an independent study packet. Students will work on Transformations at their own pace. All work on Lessons 7.1 to 7.5 will be due on Thursday, January 19th. We will review this chapter on Tuesday, January 17th and Thursday, January 19th. The Test over Transformations will be on Friday, January 20th. (Wednesday, Jan 18th is the Writing Assessment Test, therefore we will not have an assignment on this day.) Please note: these lessons are in an alternate textbook.

**Skills:**

-identify the three basic transformations in a plane

-use transformations to identify patterns and their properties in real life

-use properties of reflections

-relate to reflections and line symmetry

-use properties of rotations

-relate to rotations and rotational symmetry

-use properties of translations

-use translations to solve real-life problems

-use properties of glide reflections

-use compositions of transformations

**HW:**

Tues, Jan 17th p.365 (1-14); p.367 (35-36); p.369 (1-17) (due on Thursday)

Wed, Jan 18th none

Thurs, Jan 19th practice quizzes (packet due today)

Fri, Jan 20th no homework (Test today)

**Georgia Standards:**

GEO 4.30 Transformations:Dilations

GEO 4.31 Transformations:Examine/Apply

GEO 4.32 Transformations:Use

posted on: January 17, 2006

This week we will work on an independent study packet. Students will work on Transformations at their own pace. Lessons 7.1 to 7.5 will be completed this week. Please note: these lessons are in an alternate textbook.

**Skills:**

-identify the three basic transformations in a plane

-use transformations to identify patterns and their properties in real life

-use properties of reflections

-relate to reflections and line symmetry

-use properties of rotations

-relate to rotations and rotational symmetry

-use properties of translations

-use translations to solve real-life problems

-use properties of glide reflections

-use compositions of transformations

**Georgia Standards:**

GEO 4.30 Transformations:Dilations

GEO 4.31 Transformations:Examine/Apply

GEO 4.32 Transformations:Use

posted on: January 10, 2006

Here is the assignment guide for the unit on Transformations. Download file

posted on: January 10, 2006

Today we worked on a logic puzzle in class. There is, of course, no homework over the holidays. Enjoy your time off with friends and family. Don't forget to get in a little resting with all the fun!! Happy Holidays!

posted on: December 22, 2005

Today we took the Ch 7 quiz.

**Skills**:

-apply theorems about the interior angles, exterior angles, and the midlines of triangles

-apply the No-Choice Theorem and the AAS Theorem

-use important formulas that apply to polygons

-recognize regular polygons

-use a formula to find the measure of an exterior angle of an equiangular polygon

**HW:**

None

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

GEO 3.1 Figures: Find/Necessary/Part

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 21, 2005

Today we discussed regular polygons and their characteristics.

**Skills:**

-recognize regular polygons

-use a formula to find the measure of an exterior angle of an equiangular polygon

**HW:**

p.316 (1ace,2ace,3ace,4ace,5-10 omit 8, 13)

Ch 7 Quiz Wednesday

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

GEO 3.1 Figures: Find/Necessary/Part

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 20, 2005

Today we learned many formulas used to determine various information about polygons.

**Skills:**

-use important formulas that apply to polygons

**HW:**

p.309 (1ace, 2, 3ac, 4-8, 10ace,11-12, 14, 17)

Ch 7 Quiz Wednesday

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

GEO 3.1 Figures: Find/Necessary/Part

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 19, 2005

Today we took a quiz on Ch 6.

**Skills**:

-understand the basic concepts relating to planes

-identify four methods of determining a plane

-apply two postulates concerning lines and planes

-recognize when a line is perpendicular to a plane

-apply the basic theorem concerning the perpendicularity of a line and a plane

-recognize lines parallel to planes, parallel planes, and skew lines

-use properties relating parallel lines and planes

**HW:**

none

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 16, 2005

Today we reviewed some information about triangles.

**Skills**:

-apply theorems about the interior angles, exterior angles, and the midlines of triangles

-apply the No-Choice Theorem and the AAS Theorem

**HW:**

p.298 (8-18 omit 13)

p304 (2,3,6,14)

Ch 6 Quiz Friday

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

GEO 3.1 Figures: Find/Necessary/Part

posted on: December 15, 2005

Today we discussed basic facts of parallel lines.

**Skills**:

-recognize lines parallel to planes, parallel planes, and skew lines

-use properties relating parallel lines and planes

**HW:**

p.284 - 285 (1-5 omit 3)

p.288 to study

Quiz Ch 6 Friday

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 14, 2005

Today we discussed the relationships between lines and planes.

**Skills**:

-understand the basic concepts relating to planes

-identify four methods of determining a plane

-apply two postulates concerning lines and planes

-recognize when a line is perpendicular to a plane

-apply the basic theorem concerning the perpendicularity of a line and a plane

**HW:**

p.272 - 274 (2,7,8,13)

p.278 - 279 (2-3, 6-8)

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 3.10 Planes/Points/Lines:Recognize

posted on: December 13, 2005

Here is the assignment guide for Ch 6 & 7. Download file

posted on: December 13, 2005

Today we took the test on Ch 5.

**Skills:**

-write indirect proofs

-apply the exterior angle inequality theorem

-use various methods to prove lines parallel

apply the parallel postulate

-identify the pairs of angles formed by a transversal cutting parallel lines

-apply six theorems about parallel lines

-recognize polygons

-prove that a quadrilateral is a rectangle

-prove that a quadrilateral is a kite

-prove that a quadrilateral is a rhombus

-prove that a quadrilateral is a square

-prove that a quadrilateral is an isosceles trapezoid

-understand how polygons are named

-recognize convex polygons

-recognize diagonals of polygons

-identify special types of quadrilaterals

-prove that a quadrilateral is a parallelogram

-identify some properties of parallelograms

-identify some properties of rectangles

-identify some properties of kites

-identify some properties of rhombuses

-identify some properties of squares

-identify some properties of isosceles trapezoids

**HW:**

none

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 12, 2005

Today we watched a video with Jamie Escalante about why math is important in the "real" world. Ch 5 Test Monday, 12/12/05. Have a good weekend!

posted on: December 09, 2005

Today we continued to review for the Ch 5 Test.

**Skills:**

-write indirect proofs

-apply the exterior angle inequality theorem

-use various methods to prove lines parallel

apply the parallel postulate

-identify the pairs of angles formed by a transversal cutting parallel lines

-apply six theorems about parallel lines

-recognize polygons

-prove that a quadrilateral is a rectangle

-prove that a quadrilateral is a kite

-prove that a quadrilateral is a rhombus

-prove that a quadrilateral is a square

-prove that a quadrilateral is an isosceles trapezoid

-understand how polygons are named

-recognize convex polygons

-recognize diagonals of polygons

-identify special types of quadrilaterals

-prove that a quadrilateral is a parallelogram

-identify some properties of parallelograms

-identify some properties of rectangles

-identify some properties of kites

-identify some properties of rhombuses

-identify some properties of squares

-identify some properties of isosceles trapezoids

**HW:**

Review ws'

Ch 5 Test Mon 12/12

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 08, 2005

Today we began reviewing for our Ch 5 Test.

**Skills:**

-write indirect proofs

-apply the exterior angle inequality theorem

-use various methods to prove lines parallel

apply the parallel postulate

-identify the pairs of angles formed by a transversal cutting parallel lines

-apply six theorems about parallel lines

-recognize polygons

-prove that a quadrilateral is a rectangle

-prove that a quadrilateral is a kite

-prove that a quadrilateral is a rhombus

-prove that a quadrilateral is a square

-prove that a quadrilateral is an isosceles trapezoid

-understand how polygons are named

-recognize convex polygons

-recognize diagonals of polygons

-identify special types of quadrilaterals

-prove that a quadrilateral is a parallelogram

-identify some properties of parallelograms

-identify some properties of rectangles

-identify some properties of kites

-identify some properties of rhombuses

-identify some properties of squares

-identify some properties of isosceles trapezoids

**HW:**

p.264-267 (1,4-7,9-13,16,17,19,22,25,26)

Ch 5 Test Mon 12/12

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 07, 2005

Today we discussed ways to prove that figures are special quadrilaterals.

**Skills**:

-prove that a quadrilateral is a rectangle

-prove that a quadrilateral is a kite

-prove that a quadrilateral is a rhombus

-prove that a quadrilateral is a square

-prove that a quadrilateral is an isosceles trapezoid

**HW:**

p.258-262 (2,3,5,8,13,14,21,22,24,28)

Ch 5 Test Monday 12/12

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 06, 2005

Today we discussed ways to prove that quadrilaterals are parallelograms.

**Skills**:

-prove that a quadrilateral is a parallelogram

**HW:**

p.251 - 253 (1,3-6, 8,10,11,13,17)

Ch 5 Test moved to Monday Dec 12th

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 05, 2005

Today we took a quiz on sections 5.1 to 5.4.

**Skills:**

-write indirect proofs

-apply the exterior angle inequality theorem

-use various methods to prove lines parallel

apply the parallel postulate

-identify the pairs of angles formed by a transversal cutting parallel lines

-apply six theorems about parallel lines

-recognize polygons

-understand how polygons are named

-recognize convex polygons

-recognize diagonals of polygons

-identify special types of quadrilaterals

**Skills:**

-identify some properties of parallelograms

-identify some properties of rectangles

-identify some properties of kites

-identify some properties of rhombuses

-identify some properties of squares

-identify some properties of isosceles trapezoids

**HW:**

None

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 02, 2005

Today we discussed the characteristics of the different quadrilaterals. This is a lot of information to remember. Students may want to make flash cards to study from.

**Skills:**

-identify some properties of parallelograms

-identify some properties of rectangles

-identify some properties of kites

-identify some properties of rhombuses

-identify some properties of squares

-identify some properties of isosceles trapezoids

**HW:**

p.244 -248 (2,5-7,11-13,15,17,19-21,25)

Quiz Friday over 5.1 to 5.4 (NOT today's information!)

Help Session Friday at 8:15am

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

posted on: December 01, 2005

Today we classified 4 sided polygons.

**Skills:**

-recognize polygons

-understand how polygons are named

-recognize convex polygons

-recognize diagonals of polygons

-identify special types of quadrilaterals

**HW:**

p.237 - 239 (1-3, 6,8,11,12,19)

Quiz Friday (5.1 to 5.4)

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.17 Polygons: Classify

GEO 4.18 Angles: Parallel Lines

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

posted on: November 30, 2005

Today we learned about the angles that are congruent when two parallel lines are intersected by a transversal.

**Skills:**-apply the parallel postulate

-identify the pairs of angles formed by a transversal cutting parallel lines

-apply six theorems about parallel lines

**HW:**

p.230-232(3,5-8,10,15,17-19)

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.18 Angles: Parallel Lines

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

posted on: November 29, 2005

Today we began Ch 5. We discussed indirect proofs and how to prove that lines are parallel.

**Skills:**

-write indirect proofs

-apply the exterior angle inequality theorem

-use various methods to prove lines parallel

**HW:**

p.213(1,2)

p.219-222(1,4,8,9,12-14,19)

**Georgia Standards:**

GEO 3.2 Properties: State/Apply

GEO 3.7 Geometric Terms: Identify

GEO 3.9 Lines/Angles: Identify

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.5 Theorems: Apply/State

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.19 Lines/Angles: Identify/Use

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships: Problems

GEO 7.4 Problem Solving: Visualization

posted on: November 28, 2005

Today we participated in Accelerated Math - a computerized math program that allows students to work individually on the skills they need to improve on. There is no homework this weekend. Relax and have a great holiday.

posted on: November 18, 2005

Today we took the Ch 4 Quiz.

**Skills:**

-use detours in proofs

-apply the midpoint formula

-organize the information in, and draw diagrams for, problems presented in words.

-apply one way of proving that two angles are right angles

-recognize the relationship between equidistance and perpendicular

-recognize planes

-recognize transversals

-identify the pairs of angles formed by a transversal

-recognize parallel lines

-understand the concept of slope

-relate the slope of a line to its orientation in the coordinate plane

-recognize the relationships between the slopes of parallel and perpendicular lines

**HW:**

none

**Georgia Standards:**

GEO 2.5 Triangles:Fid/Midsegment Triangles

GEO 2.8 Formulas: Distance and Midpoint

GEO 3.9 Lines/Angles: Identify

GEO 3.10 Planes/Points/Lines: Recognize

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.6 Congruence: Identify

GEO 4.8 Triangles: Identify/Congruent

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.18 Angles:Parallel Lines

GEO 4.19 Lines/Angles: Identify/Use

GEO 4.23 Lines: Find/Length/Transversals

GEO 5.1 Connecting: Algebra/Geometry

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 17, 2005

Today we reviewed Ch 4.

**Skills:**

-use detours in proofs

-apply the midpoint formula

-organize the information in, and draw diagrams for, problems presented in words.

-apply one way of proving that two angles are right angles

-recognize the relationship between equidistance and perpendicular

-recognize planes

-recognize transversals

-identify the pairs of angles formed by a transversal

-recognize parallel lines

-understand the concept of slope

-relate the slope of a line to its orientation in the coordinate plane

-recognize the relationships between the slopes of parallel and perpendicular lines

**HW:**

p.207 (2,5,7,9,11,14,17,18)

Ch 4 Quiz Thursday

**Georgia Standards:**

GEO 2.5 Triangles:Fid/Midsegment Triangles

GEO 2.8 Formulas: Distance and Midpoint

GEO 3.9 Lines/Angles: Identify

GEO 3.10 Planes/Points/Lines: Recognize

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.6 Congruence: Identify

GEO 4.8 Triangles: Identify/Congruent

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.18 Angles:Parallel Lines

GEO 4.19 Lines/Angles: Identify/Use

GEO 4.23 Lines: Find/Length/Transversals

GEO 5.1 Connecting: Algebra/Geometry

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 16, 2005

Today we discussed parallel lines and slope.

**Skills**:

-recognize planes

-recognize transversals

-identify the pairs of angles formed by a transversal

-recognize parallel lines

-understand the concept of slope

-relate the slope of a line to its orientation in the coordinate plane

-recognize the relationships between the slopes of parallel and perpendicular lines

**HW:**

p.196-197 (1-4)

p.202 (5-12, 18)

Review ws

Quiz/Test Thurs

**Georgia Standards:**

GEO 3.9 Lines/Angles: Identify

GEO 3.10 Planes/Points/Lines: Recognize

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.4 Planes/Points/Lines: Apply/Facts

GEO 4.6 Congruence: Identify

GEO 4.8 Triangles: Identify/Congruent

GEO 4.10 Parallel Lines: Use/Properties

GEO 4.18 Angles:Parallel Lines

GEO 4.19 Lines/Angles: Identify/Use

GEO 4.23 Lines: Find/Length/Transversals

GEO 5.1 Connecting: Algebra/Geometry

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 15, 2005

Today we learned 2 new theorems dealing with angles and triangles.

**Skills:**

-apply one way of proving that two angles are right angles

-recognize the relationship between equidistance and perpendicular

**HW:**

p.182-183(4,6,9,14)

p.187 (1-4)

Ch 4 Quiz/Test on Thursday

**Georgia Standards:**

GEO 2.5 Triangles:Fid/Midsegment Triangles

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.6 Congruence: Identify

GEO 4.8 Triangles: Identify/Congruent

GEO 5.1 Connecting: Algebra/Geometry

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 14, 2005

Here is the assignment guide for Ch 4 and 5.Download file

posted on: November 11, 2005

Today we began Ch 4 which is a short chapter on proofs and lines. We discussed detour proofs, proofs with missing diagrams, and the formula used to find the midpoint of a line segment.

**Skills:**

-use detours in proofs

-apply the midpoint formula

-organize the information in, and draw diagrams for, problems presented in words.

**HW: **

p.172-174 (1,4-9,12)

p.178-179 (8,9,11)

**Georgia Standards:**

GEO 2.5 Triangles:Fid/Midsegment Triangles

GEO 2.8 Formulas: Distance and Midpoint

GEO 4.1 Reasoning: Apply/Formal/Informal

GEO 4.2 Proof: Recognize/Complete/Statement

GEO 4.3 Reasoning: Inductive/Deductive

GEO 4.6 Congruence: Identify

GEO 4.8 Triangles: Identify/Congruent

GEO 5.1 Connecting: Algebra/Geometry

GEO 7.1 Inductive/Deductive: Prove/Conclusions

GEO 7.2 Reasoning: Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 11, 2005

Today we finished our Ch 3 Test and worked a logic puzzle.

posted on: November 10, 2005

Today we took the Ch 3 Test.

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

-apply the principle of CPCTC

-recognize some basic properties of circles

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

-use overlapping triangles in proofs

-name the various types of triangles and their parts

-apply theorems relating the angle measure and the side lengths of triangles.

-use the HL Postulate to prove right triangles are congruent

-apply the No-Choice Theorem

-apply the AAS Theorem

**HW:**

None

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 09, 2005

Today we finished reviewing for the Ch 3 Test. OurCh 3 Test is on Wednesday. There will be a help session on Wednesday from 8:15 to 8:45am.

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

-apply the principle of CPCTC

-recognize some basic properties of circles

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

-use overlapping triangles in proofs

-name the various types of triangles and their parts

-apply theorems relating the angle measure and the side lengths of triangles.

-use the HL Postulate to prove right triangles are congruent

-apply the No-Choice Theorem

-apply the AAS Theorem

**HW:**

p. 165-167 (1-6, 9-12, 16-19, 23-24) [due by Friday]

Test Ch 3 Wed

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 07, 2005

Today we continued reviewing for the Ch 3 Test.

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

-apply the principle of CPCTC

-recognize some basic properties of circles

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

-use overlapping triangles in proofs

-name the various types of triangles and their parts

-apply theorems relating the angle measure and the side lengths of triangles.

-use the HL Postulate to prove right triangles are congruent

-apply the No-Choice Theorem

-apply the AAS Theorem

**HW:**

proof worksheet packet

Test Ch 3 Wed

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 04, 2005

Today we began reviewing for the Ch 3 Test.

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

-apply the principle of CPCTC

-recognize some basic properties of circles

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

-use overlapping triangles in proofs

-name the various types of triangles and their parts

-apply theorems relating the angle measure and the side lengths of triangles.

-use the HL Postulate to prove right triangles are congruent

-apply the No-Choice Theorem

-apply the AAS Theorem

** HW:**

p.162-164 (1-18)

Test Wed Nov 9th

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 03, 2005

Today we learned two theorems that are helpful in proving triangles congruent.

**Skills:**

-apply the No-Choice Theorem

-apply the AAS Theorem

**HW:**

p.304 (1,4,5,8-10,15)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 02, 2005

Today we learned about an important postulate dealing with right triangles - the "HL Postulate".

**Skills:**

-use the HL Postulate to prove right triangles are congruent

**HW:**

p.158-160 (3,6,7,10,12-17)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: November 01, 2005

Today we continued to use two new theorems dealing with isosceles triangles. Happy Halloween.

**Skills:**

-apply theorems relating the angle measure and the side lengths of triangles.

**HW:**

p. 154-155 (17-19,20,21,24,25)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 31, 2005

Today we learned two new theorems dealing with isosceles triangles.

**Skills:**

-apply theorems relating the angle measure and the side lengths of triangles.

**HW:**

p. 152-154 (2-4, 8, 10-12, 15)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 28, 2005

Today we took a quiz on lessons 3.1 to 3.5

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

-apply the principle of CPCTC

-recognize some basic properties of circles

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

-use overlapping triangles in proofs

**HW:**

Logic Puzzle - optional

Remeber p. 144 and ws "What Type of Triangle" are due Friday.

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 27, 2005

Today we reviewed how to name a triangle by its sides and its angles.

**Skills:**

-name the various types of triangles and their parts

**HW:**

p. 144 (1-3, 5-10, 13, 16)

Quiz 3.1 - 3.5 Thursday

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 3.11 Triangles: Sorting

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.7 Right Triangles:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 4.13 Right Triangles: Recognize

GEO 4.24 Right Triangles: Use/Properties

GEO 4.25 Right Triangles:Identify/Evaluate

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 26, 2005

Today we discovered how to solve proofs with overlapping triangles.

Skills:

-use overlapping triangles in proofs

HW:

p. 139 (1-5, 7-12)

Quiz Wednesday on lessons 3.1 - 3.5 (Study session at 8:15)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 25, 2005

Today we learned about medians, altitudes, and auxillary lines. We discussed their characteristics and how they are used in proofs.

**Skills:**

-identify medians of triangles

-identify altitudes of triangles

-understand why and when auxillary lines are used in some proofs

-write proofs involving steps beyond CPCTC

**HW:**

p. 135 3-7, 9, 11, 14)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 24, 2005

Today we practiced using "CPCTC" to help in our triangle proofs.

**Skills:**

-apply the principle of CPCTC

-recognize some basic properties of circles

**HW:**

p.127 (13-19)

ws 4.5

**Georgia Standards:**

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 21, 2005

Today we learned how to use "CPCTC" to help in our triangle proofs.

**Skills:**

-apply the principle of CPCTC

-recognize some basic properties of circles

**HW:**

p.127 (1-7, 10-12)

**Georgia Standards:**

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.4 Circles: Identify/Define

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 20, 2005

Today we practiced using the 3 ways to prove triangles are congruent. Please memorize these as they are very important postulates.

**Skills:**

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

**HW:**

p.122 - 124 (14-24)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 19, 2005

Today we learned 3 ways to prove triangles are congruent. Please memorize these as they are very important postulates.

**Skills:**

-identify included angles and included sides

-apply the SSS postulate

-apply the SAS postulate

-apply the ASA postulate

**HW:**

p.120 - 122 ((1-7, 10-12)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 18, 2005

Here is the assignment guide for Ch 3. Download file

posted on: October 17, 2005

Today we learned the basic characteristics of triangles and reviewed the concept of congruent.

**Skills:**

-understand the concept of congruent figures

-accurately identify the corresponding parts of figures

-apply theorems about the interior angles and exterior angles of triangles.

**HW:**

p.114 (1-5)

p.298 (2,6,18)

**Georgia Standards:**

GEO 2.5 Triangles:Find/Midsegment Triangles

GEO 3.1 Figures:Find/Necessary Parts

GEO 3.2 Properties:State/Apply

GEO 3.5 Angles:Identify

GEO 3.7 Geometric Terms:Identify

GEO 4.1 Reasoning:Apply/Informal/Formal

GEO 4.2 Proof:Recognize/Complete/Statement

GEO 4.3 Reasoning:Inductive/Deductive

GEO 4.5 Theorems:Apply/State

GEO 4.6 Congruence:Identify

GEO 4.8 Triangles:Idnetify/Congruent

GEO 5.1 Connecting:Algebra/Geometry

GEO 7.2 Reasoning:Recognize

GEO 7.3 Geometric Relationships:Problems

GEO 7.4 Problem Solving:Visualization

posted on: October 17, 2005

Today was our 9 week reward block party. Chapter 2 Tests were returned and discussed. There is no homework - except to do extra chores for your parents and get some nice fresh air outside, maybe do some yardwork? No computers or TV's! : ) Have a nice, relaxing 3 day weekend!

posted on: October 13, 2005

Today we finished our Ch 2 Test. Then we participated in Accelerated Math - a computerized math program that allows students to work individually on the skills they need to improve on. We worked on reviewing Algebra I skills so that students will remember these important concepts for next year in Algebra II.

posted on: October 12, 2005

Today we took the test on Ch 2.

**Skills:**

-recognize the need for clarity and concision in proofs

-explain and use the concept of perpendicularity

-recognize complementary and supplementary angles

-use complementary and supplementary angles in proofs, and word problems

-follow a five step procedure to draw logical conclusions

-prove angles congruent by using theorems about supplements and complements

-apply the addition properties of segments and angles

-apply the subtraction properties of segments and angles

-apply the multiplication and division properties of segments and angles

-apply the transitive properties of angles and segments

-apply the substitution property

-recognize opposite rays

-recognize vertical angles

-apply vertical angles to proofs

**HW:**

none - Relax and enjoy your evening.

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: October 11, 2005

Today we finished reviewing for the Chapter 2 Test. Be sure to reread and study all theorems and definitions. Rework all problems missed during this chapter. Try some of the problems that were not assigned for extra practice.

**Skills:**

-recognize the need for clarity and concision in proofs

-explain and use the concept of perpendicularity

-recognize complementary and supplementary angles

-use complementary and supplementary angles in proofs, and word problems

-follow a five step procedure to draw logical conclusions

-prove angles congruent by using theorems about supplements and complements

-apply the addition properties of segments and angles

-apply the subtraction properties of segments and angles

-apply the multiplication and division properties of segments and angles

-apply the transitive properties of angles and segments

-apply the substitution property

-recognize opposite rays

-recognize vertical angles

-apply vertical angles to proofs

**HW:**

p.107 (21-36)

Ch 2 Test Tuesday, Oct 11th

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: October 10, 2005

Today we began reviewing for the Chapter 2 Test. We did some extra review problems on the white boards and ACTIVboard. Be sure to reread and study all theorems and definitions. Rework all problems missed during this chapter. Try some of the problems that were not assigned for extra practice.

**Skills:**

-recognize the need for clarity and concision in proofs

-explain and use the concept of perpendicularity

-recognize complementary and supplementary angles

-use complementary and supplementary angles in proofs, and word problems

-follow a five step procedure to draw logical conclusions

-prove angles congruent by using theorems about supplements and complements

-apply the addition properties of segments and angles

-apply the subtraction properties of segments and angles

-apply the multiplication and division properties of segments and angles

-apply the transitive properties of angles and segments

-apply the substitution property

-recognize opposite rays

-recognize vertical angles

-apply vertical angles to proofs

**HW:**

p.105 (1-8, 11-20)

Ch 2 Test Tuesday, Oct 11th

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: October 07, 2005

Today we learned the last lesson in this chapter. This lesson was on vertical angles and how they are used in proofs.

**Skills:**

-recognize opposite rays

-recognize vertical angles

-apply vertical angles to proofs

**HW:**

p. 102-103 (2-6, 9, 10, 12, 13)

Ch 2 Test Tuesday, Oct 11th

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: October 06, 2005

No class today due to early release and writing testing tomorrow.

posted on: October 05, 2005

Today we learned the transitive and substitution properties. We use these two properties continuously throughout the course of the year. Please memorize these!

**Skills:**

-apply the transitive properties of angles and segments

-apply the substitution property

**HW:**

p.97-99 (2-6, 10, 13-15)

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: October 04, 2005

Today we took a quiz on the first half of chapter 2.

**Skills:**

-recognize the need for clarity and concision in proofs

-explain and use the concept of perpendicularity

-recognize complementary and supplementary angles

-use complementary and supplementary angles in proofs, and word problems

-follow a five step procedure to draw logical conclusions

-prove angles congruent by using theorems about supplements and complements

-apply the addition properties of segments and angles

-apply the subtraction properties of segments and angles

-apply the multiplication and division properties of segments and angles

**HW:**

Quiz 2.1 - 2.5

Logic Puzzle - Dog Show

**Georgia Standards:**-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: September 23, 2005

Today we discussed the multiplication and division properties. Knowing when to use these properties tends to be a challenging concept. Please use the hints on p.90 to help you as you practice these 2 properties. Help session on Monday at 8:15am.

**Skills:**

-apply the multiplication and division properties of segments and angles.

**HW:**

p.91-94 (1,5,9,11,12,14,15)

Quiz (2.1-2.5) on Monday Oct 3rd

**Georgia Standards:**-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: September 23, 2005

Today we talked about the addition and subtraction properties. Learning exactly when to use each one is very important. Use the two hints in the box on p.84 to help you as you practice these properties in proofs.

**Skills:**

-apply the addition properties of segments and angles

-apply the subtraction properties of segments and angles

**HW:**

p. 86-88 (4-12, 14-16)

Quiz (2.1 - 2.5) on Monday Oct 3

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

-GEO 3.2 Properties: State/Apply

posted on: September 23, 2005

Today we learned about congruent supplements and complements. We continued practicing our proofs.

**Skills:**

-prove angles congruent by using theorems about supplements and complements.

**HW:**

p.79-81 (8-11, 13-16, 18-21)

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

posted on: September 23, 2005

Today we worked on drawing conclusions. This is an important concept for students to understand. It will really help with the organization of proofs.

**Skills**:

-follow a five step procedure to draw logical conclusions.

**HW**:

p.74-75 (1-4,8,10,11,13)

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.5 Theorems:Apply/State

-GEO 4.6 Congruence:Identify

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

posted on: September 13, 2005

Today we discussed complementary and supplementary angles. Ch 1 Test was returned.

**Skills**:

-recognize complementary and supplementary angles.

-use complementary and supplementary angles in proofs, and word problems.

**HW**:

p.69-71 (6-9,11-16,20-22,24)

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

posted on: September 13, 2005

Today we started Ch 2. The lesson was on perpendicularity. We also finished our Ch 1 Test.

**Skills:**

-recognize the need for clarity and concision in proofs.

-explain and use the concept of perpendicularity.

**HW**:

p.64-65 (2-14)

**Georgia Standards:**

-GEO 3.10 Planes/Points/Lines:Recognize

-GEO 3.7 Geometric Terms: Identify

-GEO 3.9 Lines/Angles: Identify

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof:Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.4 Planes/Points/Lines:Apply/Facts

-GEO 4.19 Lines/Angles:Identify/Use

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Resoning:Recognize

-GEO 7.3 Geometric Relationships:Problems

-GEO 7.4 Problem solving:Visualization

posted on: September 13, 2005

Here is the assignment guide for Ch 2. Download file

posted on: September 13, 2005

Today we took the Chapter 1 Test. No homework :)

**Skills:**

-identify trisection points and trisectors of segments.

-identify angle bisectors.

-identify angle trisectors.

-write paragraph proofs.

-write simple 2 column proofs.

-solve logic puzzles.

-recognize collinear and noncollinear points.

-recognize when a point can be said to be between 2 others.

-recognize that each side of a triangle is shorter than the sum of the other 2 sides.

-use triangle inequality rules.

-correctly interpret geometric designs.

-measure segments

-measure angles

-classify angles by size

-name the part of a diagram

-recognize congruent angles and segments

-recognize that geometry is based on a deductive structure

-identify undefined terms, postulates, and definitions

-know the characteristics of theorems and the ways i which they can be used

-recognize conditional statements

-recognize the negation, converse, inverse, and contrapositive of a statement

-use the chain rule to draw conclusions

-solve probability problems

**Georgia Standards:**

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.9 Lines/Angles: Identify

-GEO 4.4 Planes/Points/Lines: Apply/Facts

-GEO 4.19 Lines/Angles: Identify/Use

-GEO 7.2 Reasoning: Recognize

-GEO 7.3 Geometric Relationships: Problems

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof: Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.5 Theorems: Apply/State

-GEO 7.1 Inductive/Deductive:Prove/Conclusions

-GEO 4.8 Triangles:Identify/Congruent

-GEO 3.5 Angles:Identify

posted on: September 12, 2005

Today we reviewed for our Chapter 1 Test today. The test is tomorrow. Help session Tuesday (9/20) from 8:15 - 8:45. Hint: Make sure your notebook is up to date.

**Skills:**

-identify trisection points and trisectors of segments.

-identify angle bisectors.

-identify angle trisectors.

-write paragraph proofs.

-write simple 2 column proofs.

-solve logic puzzles.

-recognize collinear and noncollinear points.

-recognize when a point can be said to be between 2 others.

-recognize that each side of a triangle is shorter than the sum of the other 2 sides.

-use triangle inequality rules.

-correctly interpret geometric designs.

-measure segments

-measure angles

-classify angles by size

-name the part of a diagram

-recognize congruent angles and segments

-recognize that geometry is based on a deductive structure

-identify undefined terms, postulates, and definitions

-know the characteristics of theorems and the ways i which they can be used

-recognize conditional statements

-recognize the negation, converse, inverse, and contrapositive of a statement

-use the chain rule to draw conclusions

-solve probability problems

**HW**:

p.55-58 (11,13-15,18,19,21c,22-25,28-33,35)

**Georgia Standards:**

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.9 Lines/Angles: Identify

-GEO 4.4 Planes/Points/Lines: Apply/Facts

-GEO 4.19 Lines/Angles: Identify/Use

-GEO 7.2 Reasoning: Recognize

-GEO 7.3 Geometric Relationships: Problems

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof: Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.5 Theorems: Apply/State

-GEO 7.1 Inductive/Deductive:Prove/Conclusions

-GEO 4.8 Triangles:Identify/Congruent

-GEO 3.5 Angles:Identify

posted on: September 12, 2005

Today our class was cut short due to the 4 1/2 week block party. Our lesson for today is on probability and how it is used in geometry. Our assignment includes some review problems so we can begin preparing for our test next week. Here's a hint for the test - make sure your notebook "dictionary section" is up to date before Tuesday. Have a great weekend!

**Skills:**

-solve probability problems

**HW:**

p.51-52 (1-11, 15)

p.54-55 (1-10)

Ch 1 Test Tuesday 9/20

**Georgia Standards:**

- GEO 4.1 Reasoning:Apply/Formal/Informal

posted on: September 08, 2005

Today we discussed deductive and logical reasoning. We wrote down several definitions and took notes on chain of reasoning. If gremlins grow grapes then wizards move willows?!?

**Skills:**

-recognize that geometry is based on a deductive structure

-identify undefined terms, postulates, and definitions

-know the characteristics of theorems and the ways i which they can be used

-recognize conditional statements

-recognize the negation, converse, inverse, and contrapositive of a statement

-use the chain rule to draw conclusions

**HW:**

p. 42-43 (5,8,14)

p. 47-48 (3-5, 7-10)

Ch 1 Test Tues

**Georgia Standards:**

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.3 Reasoning: Deductive/Inductive

-GEO 7.1 Inductive/Deductive: Prove/Conclusions

-GEO 7.2 Reasoning: Recognize

posted on: September 08, 2005

Today we took a quiz on Ch 1. A logic puzzle was assigned - "Family at Home". Due to testing our next class will be on Wednesday, 9/14.

**Skills:**

-identify trisection points and trisectors of segments.

-identify angle bisectors.

-identify angle trisectors.

-write paragraph proofs.

-write simple 2 column proofs.

-solve logic puzzles.

-recognize collinear and noncollinear points.

-recognize when a point can be said to be between 2 others.

-recognize that each side of a triangle is shorter than the sum of the other 2 sides.

-use triangle inequality rules.

-correctly interpret geometric designs.

-measure segments

-measure angles

-classify angles by size

-name the part of a diagram

-recognize congruent angles and segments

**HW:**

Logic Puzzle - Family at Home

**Georgia Standards:**

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.9 Lines/Angles: Identify

-GEO 4.4 Planes/Points/Lines: Apply/Facts

-GEO 4.19 Lines/Angles: Identify/Use

-GEO 7.2 Reasoning: Recognize

-GEO 7.3 Geometric Relationships: Problems

-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof: Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.5 Theorems: Apply/State

-GEO 7.1 Inductive/Deductive:Prove/Conclusions

-GEO 4.8 Triangles:Identify/Congruent

-GEO 3.5 Angles:Identify

posted on: September 08, 2005

Today we discussed paragraph proofs. We compared them to writing an English paper. Each proof should have an introduction, a body, and a conclusion.

**Skills:**

-write paragraph proofs.

**HW:**

p. 37-38 (1-4, 7-9)

Ch 1 Quiz Monday

**Georgia Standards:**-GEO 4.1 Reasoning: Apply/Formal/Informal

-GEO 4.2 Proof: Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

posted on: September 06, 2005

Today we discussed dividing segments and angles. We will have a quiz over Ch 1 on Monday.

**Skills:**-identify midpoints and bisectors of segments.

-identify trisection points and trisectors of segments.

-identify angle bisectors.

-identify angle trisectors.

**HW:**

p. 32-35 (1-7, 9-15, 18, 21)

**Georgia Standards:**-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms: Identify

-GEO 3.8 Angles: Understand

-GEO 3.9 Lines/Angles: Identify

-GEO 4.4 Planes/Points/Lines: Apply/Facts

-GEO 4.19 Lines/Angles: Identify/Use

-GEO 7.2 Reasoning: Recognize

-GEO 7.3 Geometric Relationships: Problems

posted on: September 06, 2005

Today we began learning about proofs. We worked on logic puzzles again. Our Ch 1 Assignment Guide has changed. See other blog entry.

**Skills:**-write simple 2 column proofs.

-solve logic puzzles.

**HW:**

p.26-27 (2-4, 7-14)

Quiz Ch 1 Monday 9/12

**Georgia Standards:**-GEO 4.1 Reasoning:Apply/Formal/Informal

-GEO 4.2 Proof: Recognize/Complete/Statement

-GEO 4.3 Reasoning: Inductive/Deductive

-GEO 4.5 Theorems: Apply/State

-GEO 7.1 Inductive/Deductive:Prove/Conclusions

-GEO 7.3 Geometric Relationships: Problems

posted on: September 02, 2005

Due to Cogat/ITBS testing that begins next week, the plans for Ch 1 have changed. Click here for an updated Assignment Guide. Download file

posted on: September 02, 2005

Today we finfished Performance Series testing. We worked on lesson 1.3 - Collinearity and Betweeness. Have a great holiday!

**Skills:**-recognize collinear and noncollinear points.

-recognize when a point can be said to be between 2 others.

-recognize that each side of a triangle is shorter than the sum of the other 2 sides.

-use triangle inequality rules.

-correctly interpret geometric designs.

**HW:**

p. 20-22 (1-14)

**Georgia Standards:**

-GEO 3.7 Geometric Terms:Identify

-GEO 4.8 Triangles:Identify/Congruent

-GEO 7.3 Geometric Relationships:Problems

posted on: September 02, 2005

Today we worked on lesson 1.2. We took notes in class.

Skills:

-measure segments

-measure angles

-classify angles by size

-name the part of a diagram

-recognize congruent angles and segments

**HW:**

p. 14-17 (1,2,4-8,9bd,10,11,13-18)

**Georgia Standards:**

-GEO 3.5 Angles:Identify

-GEO 3.7 Geometric Terms/Identify

-GEO 3.8 Angles:Understand

-GEO 3.9 Lines/Angles:Identify

-GEO 7.3 Geometric Relationships:Problems

posted on: September 01, 2005

We will be completing the math section of the Performance Series Test on these 2 days. No homework will be assigned. Students are encouraged to continue practicing/studying the skills in the chapter we are currently working on.

posted on: August 29, 2005

Today we turned in our Logic Puzzle Packets and took a quiz on Constructions.

**Skills:**

-identify tools and procedures used in constructions

-interpret the shorthand notation used in constructions

-perform 7 basic constructions

**HW:**

none

Georgia Standards:

- GEO 4.28 Constructions: Use/Tools

posted on: August 29, 2005

Today we took notes and discussed the basic vocabulary of geometry.

**Skills:**

define the basic terms of geometry.

**HW:**

P.7&8 (1-13)

Georgia Standards:

- 4.19: Lines/Angles:Identify/Use

- 7.2: Reasoning: Recognize

- 3.7: Geometric Terms: Identify

- 3.10: Planes/Points/Lines: Recognize

- 3.9: Lines/Angles: Identify

posted on: August 26, 2005

For a copy of the assignment guide for the next chapter in Geometry, click here. Download file

posted on: August 25, 2005

Today we practiced creating constructions.

**Skills:**

-identify tools and procedures used in constructions

-interpret the shorthand notation used in constructions

-perform 7 basic constructions

**HW:**

ws "p.47 -48"

Georgia Standards:

- GEO 4.28 Constructions: Use/Tools

posted on: August 25, 2005

Todays assignment is to practice constructions by completing both worksheets. On the 2 sided sheet please omit #8. We will have a quiz on constructions Monday. Logic Puzzle Packets are also due on Monday.

Open House is Thursday at 6:30pm. Hope to see you (parents) there :).

posted on: August 24, 2005

Today we went over the Alg Review Test. We reviewed logic puzzles. Assignment - Logic Puzzle Packet (due next Monday 8/29).

posted on: August 23, 2005

Today we learned how to create geometric constructions. Homework is for students to practice one of each type of construction.

posted on: August 22, 2005

We took our Algebra Review Test today. No homework this weekend! Relax and enjoy. Bring your math tools to class on Monday (compass, protractor, and ruler). See you then! Don't forget, tell your parents that next Thursday night is Open House for 8th grade.

posted on: August 19, 2005

Today we prepared for our test on Geometry, which will be tomorrow. Go over any problems you missed. Try a few of the ones you got right so that you can make sure you still remember how to work them. Get a good night's sleep, bring paper, pencil, and your calculator. See you tomorrow!

posted on: August 18, 2005

Today we reviewed midpoint. Homework: ws #5; Algebra Test on Friday - STUDY! (You now have examples of all 5 lessons that will be on the test. Use your worksheets to study.)

posted on: August 17, 2005

Today we had fun with geometry puns during our warm-up! We reviewed more algebra in class. Homework: ws #3 (Bookcover due Wed, Algebra Test Friday). Also, please get letter about class requirements signed.

posted on: August 15, 2005

Today we talked about Equations of Parallel and Perpendicular Lines. We used the graphing calculators to help us discover these. Homework: ws #4, Bookcover due Wed, and Alg Test on Friday.

posted on: August 15, 2005

Today students took the pretest. Books were given out. Students may keep books in their locker or at home until August 25th. We will be working with algebra review. Please note that the algebra topics we review will be used throughout the year and it is very important that you understand them. We will have an Algebra Review Test on Friday, August 19th.

Tonight's homework: ws #1; get Syllabus signed and fill out Textbook Contract by Monday.

posted on: August 11, 2005

Here are the procedures for my Geometry class. These were given out to the students on the back of their syllabus.

**Mrs. Bowman’s Policies and Procedures - Geometry**

(Keep this sheet in your notebook)

1. Pencils are to be used for all class notes and assignments.

2. Students are required to bring book, notebook, paper and pencil, and all math tools (protractor, compass, calculator, scissors, and ruler) to class each day!

3. Students are expected to write the problem, show all necessary work, and circle their answers.

4. Students are required to keep a notebook.

5. Calculators will be used during the year, at the teacher’s discretion.

6. Students are responsible for ALL missed work when absent from class. It is the students’ responsibility to ask the teacher for makeup work! Any makeup tests or quizzes will be given the day you return from an absence.

7. If a student needs help on an assignment or topic, he/she can see the teacher in the mornings before homeroom or on help session days (Wednesdays) from 8:15 – 8:45.

8. Each day students are expected to be on time to class, go directly to their assigned seat, get out all materials and prepare for the warm-up.

9. Students are to remain seated during class instructions. Students are to pack up only after being given permission by the teacher.

10. Restroom privileges are given before class or during the last 5 minutes of class.

11. All bookbags must be kept under the desk and out of the aisles.

12. Any student caught cheating or allowing another student to cheat off of their paper will receive a zero. Mrs. Bowman WILL NOT tolerate cheating.

13. For class information and assignments, visit my website at http://mabrymsblog.typepad.com/bowmans_blog.

14. Remember that YOU ARE responsible for your own learning! A POSITIVE ATTITUDE and HARD WORK will bring SUCCESS.

posted on: August 11, 2005

**GEOMETRY SYLLABUS
8A- MRS. BOWMAN / 2005-2006**

**CONCEPTS AND SCHEDULE **

**** This is only a guide and is subject to change.****

__1st 9 Weeks__

Alg Review /Constructions

Intro to Geometry

Basic Concepts & Proofs

Congruent Triangles

__2nd 9 Weeks__

Lines in a Plane

Parallel Lines & Related Figures

Lines & Planes in Space

Polygons

Transformations

__3rd 9 Weeks__

imilar Polygons

Pythagorean Theorem

Trigonometry

__4th 9 Weeks__Circles

Area of Polygons

Surface Area and Volume

**GRADE CRITERION:**

Homework Grades 10%

Quiz Grades 30%

Test Grades 40%

Activity Grades 20% Projects, Problem Solving, Writing in Math, Skill Drills, Warm-ups, Notebook Checks, etc.

**GENERAL INFORMATION:**

Homework is an opportunity for each student to practice the concept and to determine if they need extra practice or help before taking a test. Homework WILL BE given on a daily basis. For class information and assignments visit my website at http://mabrymsblog.typepad.com/bowmans_blog .

Extra help sessions are offered on Wednesday mornings from 8:15 – 8:45. See Mrs. Bowman’s Policies and Procedures on the back of this page for more class information.

posted on: August 11, 2005