1: Shapes and Transformations

1.1: Course Introduction Problems

1.1.2: Making Predictions and Investigating Results

Dilations

1.1.5: Building a Kaleidoscope

Circles
Rotations, Reflections, and Translations
Translations

1.2: Transformations and Symmetry

1.2.2: Rigid Transformations: Rotations and Translations

Absolute Value with Linear Functions
Circles
Dilations
Rotations, Reflections, and Translations
Similar Figures
Translations

1.2.3: Using Transformations

Circles
Dilations
Rotations, Reflections, and Translations
Translations

1.2.5: Symmetry

Holiday Snowflake Designer

1.3: Shapes and Probability

1.3.3: Introduction to Probability

Geometric Probability

2: Angles and Measurement

2.1: Angle Relationships

2.1.1: Complementary, Supplementary, and Vertical Angles

Investigating Angle Theorems

2.1.4: Angles in a Triangle

Concurrent Lines, Medians, and Altitudes
Triangle Angle Sum

2.1.5: Applying Angle Relationships

Investigating Angle Theorems
Triangle Angle Sum

2.2: Area

2.2.2: Areas of Triangles and Composite Shapes

Area of Triangles
Perimeters and Areas of Similar Figures

2.2.3: Areas of Parallelograms and Trapezoids

Area of Parallelograms
Area of Triangles
Perimeter and Area of Rectangles

2.3: The Pythagorean Theorem

2.3.1: Squares and Square Roots

Operations with Radical Expressions
Simplifying Radical Expressions
Square Roots

2.3.2: Triangle Inequality

Triangle Inequalities

2.3.3: The Pythagorean Theorem

Circles
Cosine Function
Distance Formula
Pythagorean Theorem
Pythagorean Theorem with a Geoboard
Sine Function
Surface and Lateral Areas of Pyramids and Cones
Tangent Function

3: Justification and Similarity

3.1: Introduction to Similarity

3.1.1: Similarity

Circles
Perimeters and Areas of Similar Figures
Similarity in Right Triangles

3.1.2: Proportional Growth and Ratios

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Part-to-part and Part-to-whole Ratios

3.1.3: Using Ratios of Similarity

Beam to Moon (Ratios and Proportions)
Perimeters and Areas of Similar Figures

3.2: Triangle Similarity

3.2.1: Conditions for Triangle Similarity

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

3.2.4: More Conditions for Triangle Similarity

Perimeters and Areas of Similar Figures
Similar Figures
Similarity in Right Triangles

3.2.5: Determining Similarity

Circles
Perimeters and Areas of Similar Figures
Similarity in Right Triangles

3.2.6: Applying Similarity

Circles
Perimeters and Areas of Similar Figures
Similarity in Right Triangles

4: Trigonometry and Probability

4.1: The Tangent Ratio

4.1.1: Constant Ratios in Right Triangles

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

4.1.4: The Tangent Ratio

Simplifying Trigonometric Expressions
Sine, Cosine, and Tangent Ratios
Tangent Function

4.1.5: Applying the Tangent Ratio

Sine, Cosine, and Tangent Ratios
Tangent Function

4.2: Probability Models

4.2.1: Introduction to Probability Models

Probability Simulations
Theoretical and Experimental Probability

4.2.2: Theoretical and Experimental Probability

Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

4.2.4: Choosing a Probability Model

Probability Simulations
Theoretical and Experimental Probability

4.2.5: Optional: Applications of Probability Methods

Estimating Population Size
Probability Simulations
Theoretical and Experimental Probability

5: Completing The Triangle Toolkit

5.1: Trigonometry

5.1.1: Sine and Cosine Ratios

Cosine Function
Simplifying Trigonometric Expressions
Sine Function
Sine, Cosine, and Tangent Ratios
Sum and Difference Identities for Sine and Cosine

5.1.4: Trigonometric Applications

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

5.2: Special Right Triangles

5.2.1: Special Right Triangles

Cosine Function
Sine Function
Tangent Function

5.2.2: Pythagorean Triples

Pythagorean Theorem
Pythagorean Theorem with a Geoboard

5.3: Completing The Triangle Toolkit

5.3.1: Finding Missing Parts of Triangles

Concurrent Lines, Medians, and Altitudes
Isosceles and Equilateral Triangles
Sine, Cosine, and Tangent Ratios
Triangle Angle Sum

6: Congruent Triangles

6.1: Congruent Triangles

6.1.1: Congruent Triangles

Constructing Congruent Segments and Angles
Proving Triangles Congruent

6.1.2: Conditions for Triangle Congruence

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Proving Triangles Congruent