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:App
