Course Modules:

**Section 1: Inductive and Deductive Reasoning**

Lesson A Making Conjectures: Inductive Reasoning

Lesson B Exploring the Validity of Conjectures

Lesson C Using Reasoning to Find a Counterexample to a Conjecture

Lesson D Proving Conjectures: Deductive Reasoning

Lesson E Proofs That Are Not Valid

Lesson F Reasoning to Solve Problems

Lesson G Analyzing Puzzles and Games

**Section 2: Properties of Angles and Triangles**

Lesson A Exploring Parallel Lines

Lesson B Angles Formed by Parallel Lines

Assignment 2.1: Parallel Lines

Lesson C Angle Properties in Triangles

Lesson D Angle Properties in Polygons

**Section 3: Acute Triangle Trigonometry**

Lesson A Side Angle Relationships in Acute Triangles

Lesson B Proving and Applying the Sine Law

Lesson C Cosine Law

Lesson D Problems Using Acute Triangles

**Section 4: Obliques Triangle Trigonometry**

Lesson A Primary Trigonometric Ratios of Obtuse Angles

Lesson B Sine and Cosine Laws of Obtuse Triangles

Lesson C The Ambiguous Case of the Sine Law

Lesson D Problems Using Obtuse Triangles

**Section 5: Statistical Reasoning**

Lesson A Exploring Data

Lesson B Frequency Tables, Histograms, Frequency Polygons

Lesson C Standard Deviation

Lesson D The Normal Distribution

Lesson E Z-Scores

Lesson F Confidence Intervals

**Section 6: Systems of Linear Inequalities**

Lesson A Graphing Linear Inequalities in Two Variables

Lesson B Exploring Graphs of Systems of Linear Inequalities

Lesson C Graphs to Solve Systems of Linear Inequalities

Lesson D Optimization Problems I: Creating the Model

Lesson E Optimization Problems II: Exploring Solutions

Lesson F Optimization Problems III: Linear Programming

**Section 7: Quadratic Functions and Equations**

Lesson A Exploring Quadratic Relations

Lesson B Properties of Graphs of Quadratic Functions

Lesson C Solving Quadratic Equations by Graphing

Lesson D Factored Form of a Quadratic Function

Lesson E Solving Quadratic Equations by Factoring

Lesson F Vertex Form of a Quadratic Function

Lesson G Solving Quadratic Equations Using the Quadratic Formula

Lesson H Solving Problems Using Quadratic Models

**Section 8: Proportional Reasoning**

Lesson A Comparing and Interpreting Rates

Lesson B Solving Problems That Involve Rates

Lesson C Scale Diagrams

Lesson D Scale Factors and Areas in 2-D Shapes

Lesson E Similar Objects: Scale Models and Scale Diagrams

Lesson F Scale Factors and 3-D Objects

**Final Exam**