Download Geometry Lessons

Geometry Lessons
CHAPTER 1: INTRODUCTION
Unit 1: Algebra Review
Unit 2: Basic Figures
Unit 3: Reasoning
Unit 4: Beginning Proofs
A: Addition and Subtraction of Integers
B: Multiplication and Division of Integers
C: Equations Involving the Distributive Property
D: Equations with the Variable on Both Sides
A: Points, Lines, Planes, and Space
B: Segments, Rays, and Length
C: Segment Addition Postulate and Midpoint
D: Angles and Measure
E: Angle Addition Postulate and Angle Bisector
A: Inductive vs. Deductive Reasoning
B: Conditional Statements
A: Properties
B: Algebra Proofs with Properties
C: Geometry Proofs with Midpoints and Angle Bisectors
CHAPTER 2: ANGLE PAIRS & PERPENDICULAR LINES
Unit 1: Algebra Review
Unit 2: Angle Pairs
Unit 3: Perpendicular Lines
A: Solving Systems by Addition
B: Solving Systems by Substitution and Method of Choice
C: Factoring Trinomials
D: Factoring Trinomials and Difference of Two Squares
E: Polynomial Equations
A: Complementary and Supplementary Angles (Part 1)
B: Complementary and Supplementary Angles (Part 2)
C: Vertical Angles
A: Problems Involving Perpendicular Lines
B: Theorems Involving Perpendicular Lines
CHAPTER 3: PARALLEL LINES AND POLYGONS
Unit 1: Parallel Lines
Unit 2: Angles of a Triangle
Unit 3: Polygons
A: Vocabulary
B: Given Lines are Parallel
C: Proving Lines are Parallel
A: Vocabulary and Triangle Sum Theorem
B: Algebra Problems
C: Word Problems and Exterior Angle Theorem
A: Vocabulary
B: Sum of Interior and Exterior Angles
C: Regular Polygons
CHAPTER 4: TRIANGLES
Unit 1: Beginning Concepts
Unit 2: Advanced Concepts
A: Congruent Figures
B: Proving Triangles are Congruent by SSS, SAS, and ASA
A: Isosceles Triangle Theorems
B: Proving Triangles are Congruent by AAS and HL
C: Medians, Altitudes, and Perpendicular Bisectors
CHAPTER 5: QUADRILATERALS
Unit 1: Parallelograms
Unit 2: Other Quadrilaterals
A: Properties of Parallelograms
B: Proving a Quadrilateral is a Parallelogram
C: More Parallel Line Theorems
A: Rectangles, Rhombuses, and Squares
B: Trapezoids
CHAPTER 6: SIMILARITY
Unit 1: Ratio and Proportion
Unit 2: Similar Polygons
Unit 3: Theorems
A: Ratio
B: Proportion
A: Properties of Similar Polygons
B: Angle-Angle Similarity Postulate
C: Word Problems
A: SSS and SAS Similarity Theorems
B: Triangle Proportionality and Triangle Angle-Bisector Theorems
CHAPTER 7: RIGHT TRIANGLES
Unit 1: Simplifying Radicals
A: Simplifying Square Roots
B: Multiplying Square Roots
C: Dividing Square Roots
D: Adding and Subtracting Square Roots
A: The Pythagorean Theorem
B: Word Problems
C: Converse of the Pythagorean Theorem
A: 30-60-90 and 45-45-90 degree Triangles (Part I)
B: 30-60-90 and 45-45-90 degree Triangles (Part II)
A: Sine, Cosine, and Tangent (Part I)
B: Sine, Cosine, and Tangent (Part II)
C: Word Problems
Unit 2: The Pythagorean Theorem
Unit 3: Special Right Triangles
Unit 4: Trigonometry
CHAPTER 8: CIRCLES
Unit 1: Vocabulary and Tangents
A: Vocabulary
B: Tangents
A: Arcs and Central Angles
B: Beginning Arcs and Chords
C: Advanced Arcs and Chords
A: Inscribed Angles
B: Angles Formed by Chords, Secants, and Tangents
A: Theorems and Beginning Problems
B: Advanced Problems
Unit 2: Arcs, Central Angles, and Chords
Unit 3: Angles and Segments
Unit 4: Segment Lengths
CHAPTER 9: AREA
Unit 1: Area of Rectangles, Squares, and Parallelograms
Unit 2: Area of Triangles, Rhombuses, and Trapezoids
Unit 3: Area of Regular Polygons and Circles
A: Area of Rectangles and Squares (Part I)
B: Area of Rectangles and Squares (Part II)
C: Area of Parallelograms
A: Area of Triangles
B: Area of Rhombuses
C: Area of Trapezoids
A: Area of Regular Polygons
B: Area and Circumference of Circles
CHAPTER 10: VOLUME
Unit 1: Prisms
Unit 2: Pyramids
Unit 3: Cylinders, Cones, and Spheres
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B:
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Vocabulary, Formulas, and Right Rectangular Prisms
Advanced Right Prisms
Vocabulary, Formulas, and Regular Square Pyramids
Advanced Regular Pyramids
Cylinders and Cones
Spheres