Miller School Math: Geometry Syllabus

Chapter 1 Geometry Syllabus Name________________________________________________

a. Outline 1-1 “Patterns and Inductive Reasoning”, Page 4 (Include Objective, Vocabulary, Notes on all examples)

b. Watch the two videos videos below.

http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=aue&wcsuffix=0101

c. Watch the Khan Academy Video below. Watch the beginning, pause it and try to figure out the answer to the problem.

http://www.youtube.com/watch?v=zIcxrhyJs6M&feature=youtube_gdata_player

d. Practice 1-1

2. Project “Dog House”, (An Intro to SketchUp); Due __________

Follow these three tutorial videos to get you started on SketchUp

http://www.youtube.com/user/SketchUpVideo?ob=5#p/c/2A29A6B9E312A112/0/CivXMR02cFk

http://www.youtube.com/user/SketchUpVideo?ob=5#p/c/2A29A6B9E312A112/1/OQ7HKTcNR04

http://www.youtube.com/user/SketchUpVideo?ob=5#p/c/2A29A6B9E312A112/2/m8eDdnh5Lpg

a. Outline 1-2 “Drawings, Nets, and Other Models”, Page 10 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Watch the three Tutorial Videos on this section at the link below

http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=aue&wcsuffix=0102

c. Practice 1-2 All

d. Enrichment 1-2 #s 5, 6, 7, 8, 9, 11, 15, 16, 17

4. Wood Blocks Drawing Project

a. Outline 1-3 “Points, Lines, and Planes”, Page 16 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Watch the two Tutorial Videos below

http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=aue&wcsuffix=0103

c. Practice 1-3

a. Outline 1-4 “Segments, Rays, Parallel Lines & Planes”, Page 23 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Watch the two Tutorial Videos below.

http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=aue&wcsuffix=0104

c. Practice 1-4

a. Perspective (Read through the links below on One, Two and Three Point Perspective. Take notes on each type of perspective and draw an example of each)

http://www.animationbrain.com/one-point-perspective.html

http://www.animationbrain.com/two-point-perspective.html

http://www.animationbrain.com/three-point-perspective.html

a. Outline 1-5 “Measuring Segments”, Page 31 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Watch the two Tutorial Videos below.

http://www.phschool.com/webcodes10/index.cfm?fuseaction=home.gotoWebCode&wcprefix=aue&wcsuffix=0106

c. Practice 1-5

a. Outline 1-6 “Measuring Angles”, Page 36 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Khan Practice Problems and Videos: Try these exercises, if you struggle getting 10 correct in a row watch the videos and retry the exercises.

http://www.khanacademy.org/exercises?exid=angle_types

http://www.khanacademy.org/exercises?exid=complementary_angles

http://www.khanacademy.org/exercises?exid=supplementary_angles

c. Practice 1-6

d. Enrichment 1-6 “Parachuting for Success”

10.

a. Outline 1-7 “Basic Constructions”, Page 44 (Include Objective, Vocabulary with sketches)

b. Review steps for four constructions at the links below.

http://www.mathopenref.com/constcopysegment.html

http://www.mathopenref.com/constcopyangle.html

http://www.mathopenref.com/constbisectline.html

http://www.mathopenref.com/constbisectangle.html

c. Practice 1-7 Worksheet

11.

a. Outline 1-8 “The Coordinate Plane”, Page 53 36 (Include Objective, Vocabulary with sketches, Notes on all examples)

b. Khan Practice Problems and Videos: Try these exercises, if you struggle getting 10 correct in a row watch the videos and retry the exercises.

http://www.khanacademy.org/exercises?exid=distance_formula

http://www.khanacademy.org/exercises?exid=midpoint_formula

c. Practice 1-8

d. Enrichment 1-8

12.

a. Outline 1-9 “Perimeter, Circumference, and Area”, Page 61

b. Khan Practice Problems and Videos: Try these exercises, if you struggle getting 10 correct in a row watch the videos and retry the exercises.

http://www.khanacademy.org/exercises?exid=geometry_1

http://www.khanacademy.org/video/area-and-perimeter?playlist=Geometry

http://www.khanacademy.org/video/circles--radius--diameter-and-circumference?playlist=Geometry

http://www.khanacademy.org/video/area-of-a-circle?playlist=Geometry

c. Practice 1-9

d. Area Project

13. Geometry Chapter 1 Review Crossword Puzzle

Chapter 2/7 Name_______________________________

14.

a. Outline 2-4 “Reasoning in Algebra”, Page 103 (Include Objective, Properties, Example 1,2)

b. Worksheet Practice 2-4

15. The Story of Math Episode I “The Egyptians”,

a. Complete Questions

b. Write an 8-10 sentence paragraph summarizing episode I. (Include Intro and conclusion.)

i. Type the paragraph in your math journal on google docs

ii. Share the document with me (jmacdonald@millerschool.org)

c. Complete the online math problems using the Egyptian number system:

http://www.eyelid.co.uk/numbers.htm

http://www.eyelid.co.uk/maths2.htm

16.

a. Outline 2-5 “Proving Angles Congruent”, Page 110 (Include Objective, Theorems, Vocabulary, Example 1 and 2, include sketches)

b. Worksheet Practice 2-5

c. Worksheet “Proving Angles Congruent”

Quiz 2-4 & 2-5

17. The Story of Math Episode I “The Babylonians”

a. Complete Questions

b. Write an 8-10 sentence paragraph summarizing episode II. . (Include Intro and conclusion.)

i. Type the paragraph in your math journal on google docs

18.

a. Outline 7-1 “Ratios and Proportions”, Page 366 (Include objective, vocabulary, properties, examples)

b. Worksheet Practice 7-1 (You need a ruler)

c. Worksheet Enrichment 7-1

d. Similar Triangles Geogebra Activity

19. Golden Ratio Constructions Project

a. Dividing a Segment (hand construction)

b. Golden Rectangle from a square (hand construction)

c. Dividing a Segment (Geogebra construction)

d. Golden Rectangle from a square (Geogebra construction)

e. Pentagram (Geogebra contruction)

f. Golden Ratio in our World

i. Golden ratio proportions of you and famous person

ii. Golden ratio proportions in nature

iii. Golden ratio proportion in art/architecture

Quiz 7-1 and Golden Ratio

20. The Story of Math Episode II “The Greeks”

a. Complete Questions

b. Write a 8-10 sentence paragraph summarizing episode II. . (Include Intro and conclusion.)

i. Type the paragraph in your math journal on google docs

ii. Share the document with me (jmacdonald@millerschool.org)

21.

a. Outline 7-2 “Similar Polygons”, Page 369 (Include objective, vocabulary, examples)

b. Geogebra Similar Polygon Activity

c. Triangle Activity (export image to your math journal)

d. Practice 7-2

e. Reteaching 7-2

Quiz 7-2

Chapter 3 Name ___________________________________________

22.

a. Outline 3-1,”Properties of Parallel Lines”, page 127 (Include objective, vocabulary, examples)

b. Geogebra “Parallel Lines and Transversal” (export to your Google Docs Math Journal)

c. Parallel Lines Construction

d. Khan Academy Mods

i. http://www.khanacademy.org/exercises?exid=parallel_lines_1

ii. http://www.khanacademy.org/exercises?exid=slope_of_a_line

e. Practice 3-1

f. Practice 3-2

23.

a. Outline 3-4, “Parallel Lines and the Triangle Angle-Sum Theorem”, page 147 (Include objective, vocabulary, sketches examples)

b. Geogebra “Triangle Angle Sum”

c. Practice 3-4

24.

a. Outline 3-5, “The Polygon Angle-Sum Theorems”, page 157 (Include objective, vocabulary, sketches examples)

b. Geogebra activity (export to Math Journal)

c. Practice 3-5

25.

a. Outline 3-6, “Lines in the Coordinate Plane”, page 166 (Include objective, vocabulary, sketches examples)

b. Practice 3-6

26.

a. Outline 3-7, “ Slopes of Parallel and Perpendicular Lines” page 166 (Include objective, vocabulary, sketches examples)

b. Geogebra activity

c. Practice 3-7

d. Khan Academy Mods

i. http://www.khanacademy.org/exercises?exid=equation_of_a_line

ii. http://www.khanacademy.org/exercises?exid=line_relationships

Chapter 4 Name ___________________________________

27.

a. Khan Academy Mod

i. http://www.khanacademy.org/exercise/triangle_inequality_theorem

b. Triangle Congruence Investigation

c. Outline 4-2, “Triangle Congruence by SSS and SAS”, Page 205(Include objective, vocabulary, sketches examples)

d. Practice 4-2

28.

a. Outline 4-3, “Triangle Congruence by ASA and AAS”, page 213(Include objective, vocabulary, sketches examples)

b. Khan Academy Module

i. http://www.khanacademy.org/exercise/congruent_triangles_1

ii. http://www.khanacademy.org/exercise/congruent_triangles_2

iii. http://www.khanacademy.org/exercise/congruency_postulates

c. Practice 4-3

d. Practice 4-4 #1-9

e. Quiz 4-2 and 4-3

29.

a. Outline 4-5, “Isosceles and Equilateral Triangles”, page 228(Include objective, vocabulary, sketches examples)

b. Khan Academy Module

i. http://www.khanacademy.org/exercise/triangle_angles_1

c. Practice 4-5

d. Quiz 4-5

30.

a. Outline 4-6, “Congruence in Right Triangles”, page 235(Include objective, vocabulary, sketches examples)

b. Khan Academy Module

i. http://www.khanacademy.org/exercise/slope_of_a_line

ii. http://www.khanacademy.org/exercise/equation_of_a_line

c. Practice 4-6 #s 1,2, 5-13

d. Quiz 4-6

Semester Project Due Dates

Part #5 Rough Draft 12/5/2012

Part #6 Peer Review 12/7/2012

Part #7Final 12/12/2012

Geometry Chapter 5 Syllabus Name________________________________

http://millerschoolmath.blogspot.com/p/geometry-resources.html

You may want to make note cards for this chapter. There is a lot of vocabulary and you are responsible for knowing it.

31.

a. In-class Activity 5-1 “Midsegments of Triangles”, Page259

b. Practice Worksheet 5-1

c. 5-1 Midsegment Construction Activity (Geogebra)

d. 5-1 Construct a Midsegment by Hand

e. Extra Practice Text Page 262 #s, 1-20, 30-33

f. Quiz 5-1 (know vocabulary, constructions, and solve problems)

32.

a. Outline 5-2 “Bisector in Triangles”, Page 265

b. In-class activity “Bisector in Triangles” Geogebra

c. Practice Worksheet 5-2

d. Khan Academy Mod http://www.khanacademy.org/exercise/angle_bisector_theorem

e. Extra Practice Page 267 #s, 1-4, 6-25, 28-30

f. Quiz 5-2 (know vocabulary, constructions, and solve problems)

33.

a. 5-3 “Concurrent Lines Medians, and Altitudes”, Page 272; In-class notes

b. Practice Worksheet 5-3

c. “Constructing Concurrent Lines” Worksheet

d. “Applying Concurrent Lines” Lab

e. Extra Practice Page 275, #s 1-7 odd, 8, 9, 14-22, 28

f. Quiz 5-3 (know vocabulary, constructions, and solve problems)

34. Wrap Up Quiz (5-1), (5-2), (5-3)

35. Khan Challenges (Log in to your account and try these challenges)

a. Take the Arithmetic Challenge http://www.khanacademy.org/exercise/arithmetic_challenge

b. Take the Pre-Algebra Challenge http://www.khanacademy.org/exercise/pre-algebra_challenge

Chapter 6 Name_____________________________________

36.

a. Outline Sheet 6-1 “Classifying Quadrilaterals” Page 306

b. Enrichment 6-1

c. Khan Academy http://www.khanacademy.org/exercise/quadrilateral_types

37.

a. Outline 6-2 “Properties of Parallelograms” Page 312 (Include Theorems, definitions and neat sketches)

b. Practice 6-2

c. Khan Academy Mod http://www.khanacademy.org/exercise/quadrilateral_angles

38.

a. Outline 6-3 “Proving That a Quadrilateral is a Parallelogram”, Page 321 (Include Theorems, definitions and neat sketches)

b. Practice 6-3

c. Quiz 6-1, 6-2, 6-3

39.

a. Outline 6-4 “Special Parallelograms”, Page 329 (Include Theorems, definitions and neat sketches)

b. Practice 6-4

40.

a. Outline 6-5 “Trapezoids and Kites”, Page 336 (Include Theorems, definitions and neat sketches)

b. Practice 6-5

c. Quiz 6-4, 6-5
g. Quiz Problem Mini Project Quiz Problem

41. Mini Project, Quadrilateral Constructions

42.

a. Outline 6-6 “Placing Figures in the Coordinate Plane”, Page 343

b. Practice 6-6, Practice 6-6 Tutorial

c. Enrichment 6-6

d. Quiz 6-6

43. Chapter 6 Review

a. Crossword

b. Problem set worksheet

Chapter 8 Geometry Syllabus Name________________________________

44.

a. Outline 8- 1 “The Pythagorean Theorem”; Page 417, Ex. 1-5

i. Blog Activity click here

b. Khan Mod Skill Check (sign in!)

i. http://www.khanacademy.org/exercise/simplifying_radicals

ii. http://www.khanacademy.org/exercise/adding_and_subtracting_radicals

iii. http://www.khanacademy.org/exercise/multiplying_radicals

c. Khan Video and Mod (sign in!)

i. http://www.khanacademy.org/video/pythagorean-theorem?topic=algebra-worked-examples-2

ii. http://www.khanacademy.org/exercise/pythagorean_theorem_1

iii. http://www.khanacademy.org/video/pythagorean-theorem-1?topic=algebra-worked-examples-4

d. Practice 8-1

e. How Far Can You See? Page 466, Watch video example problems below and complete activities

i. Video Tutorial 1 click here How Far Can You See? Part I

ii. Video Tutorial 2 How Far Can You See? Part II

Drawing should be neat and detailed (Project Grade /10) Due _________

Complete Activity #1 using two different buildings

Complete Activity #2 part (a).

f. Challenge Problem Pythagorean Challenge

g. Quiz 8-1

45.

a. Outline 8-2 “Special Right Triangles”; Page 425, Ex: 1,3,4,5

b. Video Tutorial

i. 45 45 90 video http://www.youtube.com/watch?v=TCSfjLF1mG4

ii. 30 60 90 http://www.youtube.com/watch?v=hi8T3wUOisE&context=C39f4c6aADOEgsToPDskJebE3xjdq7LzwqFYLN5qcG

iii. Mods http://www.khanacademy.org/exercise/pythagorean_theorem_2

c. Practice 8-2

d. Quiz 8-2
e. Geo Alg Connections https://docs.google.com/document/pub?id=152R66jBP2wg-JJN4yI_dZUwA1dGJxa-heT0E4RJQz4k Here is a good example http://www.youtube.com/watch?v=_4KYlVNP5xk&context=C39f4c6aADOEgsToPDskJebE3xjdq7LzwqFYLN5qcG

46.

a. Outline 8-3 “The Tangent Ratio”; Page 432, Ex: 1,2,3

b. Video Tutorial Tangent Ratio http://www.youtube.com/watch?v=OtbkMXKuX3k&context=C3da251aADOEgsToPDskJebE3xjdq7LzwqFYLN5qcG

c. Practice 8-3

d. Quiz 8-3

47.

a. Outline 8-4 “Sine and Cosine Ratios”; Page 439, Ex: 1,3

i. Video Tutorial Sine and Cosine ( You Should Really Watch This!) http://www.khanacademy.org/video/basic-trigonometry?topic=trigonometry
ii. Video Tutorial Soh Cah Toa http://www.khanacademy.org/video/basic-trigonometry-ii?topic=trigonometry

b. Khan Mod

i. http://www.khanacademy.org/exercise/trigonometry_1

ii. http://www.khanacademy.org/exercise/trigonometry_2
iii. Intro to Trig Functions with Examples
iv. Trig Examples and Problems
v. Silo Home Geometry, Notes

c. Practice 8-4

d. Quiz 8-4

48.

a. Outline 8-5 “Angles of Elevation and Depression, Page 445, Ex 1,2,3

b. Practice 8-5

c. Reteach 8-5

d. Watch Video "Angel Falls Trig; Angles of Elevation and Depression" Make sketches and show all work.

e. Watch KVLY-TV Trig; Challenge Problem , Notes KVLY-TV
Quiz 8-5

49.

a. Outline 8-6, “Vectors”; Page 452, Ex: 1-5
Vector Part I Notes

b. Khan Video Inclined Plane http://www.khanacademy.org/video/inclined-plane-force-components?topic=physics

c. Practice 8-6

d. Reteach 8-6 (work out on separate paper)

e. Deja Vu Vectors (Using Right Triangle Trig to Solve Problems), Deja Vu notes

f. Quiz 8-6

50. Chapter Review 8 Crossword Puzzle

Chapter 9 “Transformations”, Name________________________

50.5 Islamic Art Question to submit
50.75 Islamic Art and Culture Video form(click here)

51.

a. Outline 9-1, “Translations”, Page 470 Translation Notes

b. Practice 9-1 Worksheet

c. Enrichment 9-1 Worksheet

d. Geogebra Transformation Worksheet “Translations”

e. Quiz 9-1

52. Constructing 6, 8, and 5 pointed stars. (mini project)

Hexagon Construction
Pentagon construction

53.

a. Outline 9-2, “Reflections”, Page 479

b. Geogebra Transformation Worksheet “Reflections”

c. Practice 9-2 Worksheet

d. Enrichment 9-2 Worksheet

e. Quiz 9-2

54. Islamic Circles:(mini project)

55.

a. Outline 9-3, “Rotations”, Page 483, Rotation Notes

b. Geogebra Transformation Worksheet “Rotations”

c. Practice 9-3 Worksheet (skip 10,11,13)

d. Guided Problem Solving Page 489 (Compass & Protractor)

e. Quiz 9-3

56.

a. Outline 9-4, “Symmetry”, Page 492, Symmetry Notes

b. Practice 9-4 Worksheet

c. Reteaching 9-4 Worksheet

d. Quiz 9-4

57.

a. Outline 9-5, “Dilations”, Page 498

b. Geogebra Transformation Worksheet “Dilation”

c. Practice 9-5 Worksheet

d. Quiz 9-5

58.

a. Outline 9-6, “Composition of Reflections”, Page 506

b. Practice 9-6 Worksheet

c. Alternate HW Page 509, #s 1 – 3, 10, 13, 16 – 26, 31 – 44

59.

a. Outline 9-7 “Tessellations”, Page 515

b. Practice 9-7 Worksheet

c. Alternate HW Page 518, #s 1-14, 18, 23-28

d. Sketch-Up Tessellation: (mini project), Regular Tessellation Investigation Escher Style Tessellations
i. Video Part I: Coming Sooner or later
ii. Video Part II: Regular Tessellation Investigation
iii. Video Part III How to Make a Regular Tessellation.
iv. Video Part IV: Coming Soon, DemiregularTessellation
v. Video Part V: Parallelogram Tessellation
vi.Video Part V: Rectangle Alteration by Translation
vii. Video Part VI: Alteration by Rotation of a Triangle Tessellation

e. Quiz 9-6 and 9-7 no Quiz

60. Chapter 9 Crossword Puzzle Vocabulary Review

61.

a. Outline 10-3 “Areas of Regular Polygons”

b. Skill work (sign in!)

i. Khan Mod http://www.khanacademy.org/math/trigonometry/e/trigonometry_1

ii. Khan Mod http://www.khanacademy.org/math/trigonometry/e/pythagorean_theorem_2

c. Practice 10-3

d. Quiz 10-3

62.

a. Outline 10-5 “Trigonometry and Area of Polygons”

b. Re-teaching 10-5

c. Challenge Problem #1

d. Quiz 10-5

63.

a. Outline 10-6 “Circles and Arcs”

b. Practice 10-6

c. Challenge Problem #2

d. Quiz 10-6

64.

a. Outline 10-7 “Areas of Circles and Sectors”, Notes right here!

b. Practice 10-7

c. Challenge Problem #3

d. Irrigation Crop Circles Mini Project

e. Quiz 10-7

Final Exam Study Guide Click Here

Miller School Math

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Geometry Syllabus

Math Calendar

Math Postings/ Syllabi/ Projects/ Writing Assignments

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Math Resources

History of Math and other Topics

Teacher Resources