1: Exploring Algebraic and Geometric Relationships

1.1: Section 1.1

1.1.1: Attributes of Polygons

Classifying Quadrilaterals
Classifying Triangles
Polygon Angle Sum

1.1.2: More Attributes of Polygons

Classifying Quadrilaterals
Classifying Triangles
Polygon Angle Sum

1.2: Section 1.2

1.2.3: Area as a Product and a Sum

Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

1.3: Section 1.3

1.3.1: Angle Pair Relationships

Investigating Angle Theorems

1.3.2: Angles Formed by Transversals

Conditional Statements
Parallelogram Conditions
Triangle Angle Sum

1.3.3: More Angles Formed by Transversals

Parallelogram Conditions
Triangle Angle Sum

1.3.4: Angles and Sides of a Triangle

Triangle Angle Sum
Triangle Inequalities

2: Justification and Similarity

2.1: Section 2.1

2.1.1: Triangle Congruence Theorems

Congruence in Right Triangles
Proving Triangles Congruent

2.1.3: Converses

Conditional Statements

2.2: Section 2.2

2.2.1: Dilations

Dilations
Similar Figures

2.2.2: Similarity

Similar Figures
Similarity in Right Triangles

2.3: Section 2.3

2.3.1: Conditions for Triangle Similarity

Proving Triangles Congruent
Similar Figures
Similarity in Right Triangles

2.3.2: Determining Similar Triangles

Similar Figures

2.3.3: Applying Similarity

Similar Figures

3: Probability and Trigonometry

3.1: Section 3.1

3.1.2: Using a Tree Diagram

Binomial Probabilities
Permutations and Combinations

3.1.3: Probability Models

Probability Simulations

3.1.5: Expected Value

Lucky Duck (Expected Value)

3.2: Section 3.2

3.2.1: Constant Ratios in Right Triangles

Sine, Cosine, and Tangent Ratios

3.2.2: Connecting Slope Ratios to Specific Angles

Sine, Cosine, and Tangent Ratios

3.2.3: Expanding the Trig Table

Sine, Cosine, and Tangent Ratios

3.2.4: The Tangent Ratio

Sine, Cosine, and Tangent Ratios

3.2.5: Applying the Tangent Ratio

Sine, Cosine, and Tangent Ratios

4: Factoring and More Trigonometry

4.1: Section 4.1

4.1.1: Introduction to Factoring Expressions

Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

4.1.3: Factoring More Quadratics

Factoring Special Products

4.1.4: Factoring Completely

Factoring Special Products

4.1.5: Factoring Special Cases

Factoring Special Products

4.2: Section 4.2

4.2.1: Sine and Cosine Ratios

Sine, Cosine, and Tangent Ratios

4.2.4: Trigonometric Applications

Sine, Cosine, and Tangent Ratios

5: Quadratic Functions

5.1: Section 5.1

5.1.1: Investigating the Graphs of Quadratic Functions

Quadratics in Polynomial Form

5.1.2: Multiple Representations of Quadratic Functions

Quadratics in Polynomial Form

5.1.3: Zero Product Property

Quadratics in Factored Form
Quadratics in Polynomial Form

5.1.4: Writing Equations for Quadratic Functions

Quadratics in Factored Form

5.1.5: Completing the Quadratic Web

Quadratics in Factored Form
Quadratics in Polynomial Form

5.2: Section 5.2

5.2.4: Introduction to the Quadratic Formula

Roots of a Quadratic

5.2.6: Introducing Complex Numbers

Roots of a Quadratic

6: More Right Triangles

6.1: Section 6.1

6.1.1: Special Right Triangles

Sine, Cosine, and Tangent Ratios

6.1.2: Pythagorean Triples

Pythagorean Theorem

6.1.3: Special Right Triangles and Trigonometry

Cosine Function
Sine Function

6.2: Section 6.2

6.2.4: The Number System and Deriving the Quadratic Formula

Roots of a Quadratic

7: Proof and Conditional Probability

7.1: Section 7.1

7.1.1: Explore-Conjecture-Prove

Classifying Quadrilaterals
Parallelogram Conditions
Special Parallelograms

7.1.2: Properties of Rhombi

Special Parallelograms

7.2: Section 7.2

7.2.1: Conditional Probability and Independence

Independent and Dependent Events

7.2.3: Applications of Probability

Independent and Dependent Events

8: Polygons and Circles

8.1: Section 8.1

8.1.1: Constructing Triangle Centers

Concurrent Lines, Medians, and Altitudes

8.2: Section 8.2

8.2.1: Angles of Polygons

Polygon Angle Sum

8.3: Section 8.3

8.3.1: Area Ratios of Similar Figures

Perimeters and Areas of Similar Figures

8.3.2: Ratios of Similarity

Perimeters and Areas of Similar Figures

8.4: Section 8.4

8.4.1: A Special Ratio

Circumference and Area of Circles

8.4.2: Arcs and Sectors

Chords and Arcs
Radians

8.4.3: Circles in Context

Radians

9: Modeling with Functions

9.1: Section 9.1

9.1.2: Parabola Investigations

Quadratics in Polynomial Form
Zap It! Game

9.1.3: Graphing Form of a Quadratic Function

Quadratics in Vertex Form

9.1.4: Transforming the Absolute Value Function

Absolute Value with Linear Functions
Translating and Scaling Functions

9.3: Section 9.3

9.3.1: Average Rate of Change and Projectile Motion

Quadratics in Polynomial Form

9.3.4: Combininig Functions

Addition and Subtraction of Functions

10: Circles and More

10.1: Section 10.1

10.1.1: The Equation of a Circle

Circles

10.1.2: Completing the Square for Equations of Circles

Circles

10.1.3: The Geometric Definition of a Parabola

Parabolas

10.2: Section 10.2

10.2.1: Introduction to Chords

Chords and Arcs

10.2.2: Angles and Arcs

Chords and Arcs
Inscribed Angles

10.2.3: Chords and Angles

Chords and Arcs

11: Solids

11.1: Section 11.1

11.1.1: Prisms and Cylinders

Prisms and Cylinders
Surface and Lateral Areas of Prisms and Cylinders

11.2: Section 11.2

11.2.1: Volume of a Pyramid

Pyramids and Cones

11.2.2: Surface Area and Volume of a Cone

Pyramids and Cones
Surface and Lateral Areas of Pyramids and Cones

11.2.3: Surface Area and Volume of a Sphere

Measuring Volume

12: Counting and Closure

12.1: Section 12.1

12.1.1: The Fundamental Counting Principle

Permutations and Combinations

12.1.2: Permutations

Permutations and Combinations

12.1.3: Combinations

Permutations and Combinations

12.2: Section 12.2

12.2.1: Using Geometry to Calculate Probability

Geometric Probability

12.2.4: Some Challenging Probability Problems

Independent and Dependent Events
Lucky Duck (Expected Value)
Probability Simulations