Overview

Objectives and Standards
Chapters


Sheet 1: Objectives and Standards

Geometry Independent Study Chapter Guidelines




Teacher: Ly Nguyen Ly.Nguyen@mvla.net


(650) 967-7919 ext 229
Materials Needed: Notebook, paper, pencil, ruler, compass, scientific calculator and protractor
Note Taking: Write down formulas and examples you feel are useful.
Formula/Equations List: Keep a list of relevant formulas and equations.






Semester 1 (A)




California Standards Subject Chapter
13, 7 Points, Lines, Angles 1
2, 7 Proofs 2
5 Triangles 3,4
10, 8 Polygons 5,6









Semester 2 (B)




California Standards Subject Chapter
4 Similar Polygons 8
7, 21 Circles 9
8, 9 Areas and Volumes of Solids 10
14, 15, 18, 19, 20 Pythagorean & Trigonometry Functions 11
17 Coordinate Geometry 12

Sheet 2: Chapters

Chapter 1 Guidelines Points, Lines, and Angles



Written Exercise Sections 2 - Points and Lines

3 - Angles

4 - Classifying Angles skip 19

5 - Vertical Angles

6 - Angle Bisectors skip 11,12

7 - Three Constructions

9 - Postulates of Geometry
Self Test pg 14, 22, 37
Chapter Review pg 39






Chapter 2 Guidelines Introducing Proof



Written Exercise Sections 1 - Three Theorems

2 - "if .. Then"statements

4 - Writing Proofs

5 - Parallel Lines

6 - Proving Lines Parallel

7 - Constructing Parallel Lines
Self Test pg 53, 80
Chapter Review pg 85






Chapter 3 Guidelines Triangles



Written Exercise Sections 1 - The Angle Sum of a Triangle

2 - Classifying Triangles

3 - Defining Congruent Triangles

4 - SSS Postulate

5 - SAS Postulate

6 - ASA Postulate

7 - AAS and HL
Self Test pg 101, 112, 125,132
Chapter Review pg 137






Chapter 4 Guidelines Using Congruent Triangles



Written Exercise Sections 1 - Proving Corresponding Parts

2 - Congruent Triangles and Constructions skip part c.

3 - Segment Bisectors

4 - Altitudes and Medians

5 - Inscribed and Circumscribed Circles

6 - Trangles with two equal side

7 - Traingles with two equal angles skip 23
Self Test pg 152, 166, 178
Chapter Review pg 183






Chapter 5 Guidelines Polygons



Written Exercise Sections 1 - Intro. To Polygons

2 - Angle Sums of Polygons

3 - Special Quadrilaterals skip 22-23

4 - Properties of Parallelograms skip 36

5 - Prop. Of Special Parallelograms skip 23, 24

6 - Proving Parallelograms

7 - Properties of Trapezoids

8 - Midpoints Theorem skip 24, 25
Self Test pg 197, 207, 219 (skip #4), 228
Chapter Review pg 231






Chapter 6 Guidelines Areas



Written Exercise Sections 1 - Areas of Rectangles skip 34

2 - Areas of Parallelograms

3 - Areas of Triangles

4 - Areas of Trapezoids

5 - Pythagorean Theorem

6 - Converse of Pythagorean Theorem

7 - Circumferences of Circles

8 - Areas of Circles
Self Test pg 246, 254, 262, 271
Chapter Review pg 279






Chapter 8 Guidelines Similar Polygons



Written Exercise Sections 1 - Defining Similar Polygons

2 - AA Postulate

3 - Special Case of Similar Triangles

4 - Triangle Proportionality Theorem - skip 21

5 - Perimeters and Areas
Self Test pg 322, 333
Chapter Review pg 339






Chapter 9 Guidelines Circles



Written Exercise Sections 1 - Basic Terms

2 - Tangents skip #25

3 - Arcs and Central Angles skip #26

4 - Chords

5 - Inscribed Angles skip 31-33
Self Test pg 358, 368
Chapter Review pg 381, skip 24, 25, 26, 27






Chapter 10 Guidelines Areas and Volumes of Solids



Written Exercise Sections 1 - Lines and Planes in Space

2 - Right Prisms

3 - Right Circular Cylinders

4 - Regular Pyramids skip 26

5 - Right Circular Cones

6 - Spheres
Self Test pg 401, 412
Chapter Review pg 423






Chapter 11 Guidelines Right Triangles



Written Exercise Sections 1 - Reviewing Right Triangles

2 - Special Right Triangles

3 - Using Special Right Triangles

5 - Right Triangles in Pyramids and Cones

6 - The Tangent Ratio

7 - Sine and Cosine Ratio
Self Test pg 439, 446, 456
Chapter Review pg 461






Chapter 12 Guidelines Coordinate Geometry



Written Exercise Sections 1 - Points and Coordinates

2 - Distance between 2 points

3 - Midpoint of a segment

5 - Parallel and Perpendicular Lines skip 21, 22

6 - Equations and Lines
Self Test pg 480, 495, 504 skip 5
Chapter Review pg 511 skip 27, 28