Course: Mathematics 30-1 [5 cr] - AB Ed copy 1

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Course Introduction

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  Welcome to Mathematics 30-1 Page
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  Approved Resources Page
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  Course Content Page
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  Parts of the Module Page
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  Parts of the Workbook Page
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  Quizzes and Exams Page
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  Additional Resources Page
- Quiz
  
  About Me Quiz
Unit 1 ~ Functions
- Lesson 1.1: Radical Functions
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  Unit 1.1: Radical Functions Page
- A. Radical Functions
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  L1.1 A1 Radical Functions Warm Up - Part 1 Page
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  L1.1 A1 Radical Functions Warm Up - Part 2 Page
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  L1.1 A2 Radical Functions - Part 1 Page
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  L1.1 A2 Radical Functions - Part 2 Page
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  L1.1 A2 Radical Functions - Part 3 Page
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  L1.1 A2 Radical Functions - Part 4 Page
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  L1.1 A2 Radical Functions - Part 5 Page
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  L1.1 A2 Graphing Standards Page
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  L1.1 A3 Practice Page
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  L1.1 A4 Practice Solutions Page
- B. The Square Root of a Function
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  L1.1 B1 The Square Root of a Function - Part 1 Page
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  L1.1 B1 The Square Root of a Function - Part 2 Page
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  L1.1 B1 The Square Root of a Function - Part 3 Page
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  L1.1 B2 Practice Page
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  L1.1 B3 Practice Solutions Page
- C. Solving Radical Equations Graphically
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  L1.1 C1 Solving Radical Equations Graphically - Part 1 Page
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  L1.1 C1 Solving Radical Equations Graphically - Part 2 Page
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  L1.1 C2 Practice Page
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  L1.1 C3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 1.1
  
  Receive a grade
- Quiz
  
  Quiz 1.1
  
  Receive a grade
- Lesson 1.2: Polynomial Functions
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  Unit 1.2: Radical Functions Page
- A. Polynomial Functions
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  L1.2 A1 Polynomial Functions Warm Up Page
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  L1.2 A2 Polynomial Functions - Part 1 Page
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  L1.2 A2 Polynomial Functions - Part 2 Page
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  L1.2 A2 Polynomial Functions - Part 3 Page
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  L1.2 A2 Polynomial Functions - Part 4 Page
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  L1.2 A3 Practice Page
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  L1.2 A4 Practice Solutions Page
- B. The Remainder Theorem
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  L1.2 B1 The Remainder Theorem - Part 1 Page
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  L1.2 B1 The Remainder Theorem - Part 2 Page
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  L1.2 B1 The Remainder Theorem - Part 3 Page
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  L1.2 B1 The Remainder Theorem - Part 4 Page
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  L1.2 B2 Practice Page
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  L1.2 B3 Practice Solutions Page
- C. The Factor Theorem
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  L1.2 C1 The Factor Theorem - Part 1 Page
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  L1.2 C1 The Factor Theorem - Part 2 Page
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  L1.2 C2 Practice Page
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  L1.2 C3 Practice Solutions Page
- D. Graphs of Polynomial Functions
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  L1.2 D1 Graphs of Polynomial Functions - Part 1 Page
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  L1.2 D1 Graphs of Polynomial Functions - Part 2 Page
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  L1.2 D2 Practice Page
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  L1.2 D3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 1.2
  
  Receive a grade
- Quiz
  
  Quiz 1.2
  
  Receive a grade
- Lesson 1.3: Rational Functions
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  Unit 1.3: Rational Functions Page
- A: Rational Equations
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  L1.3 A1 Rational Functions Warm Up Page
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  L1.3 A1 Rational Functions - Part 1 Page
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  L1.3 A1 Rational Functions - Part 2 Page
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  L1.3 A1 Rational Functions - Part 3 Page
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  L1.3 A1 Rational Functions - Part 4 Page
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  L1.3 A1 Rational Functions - Part 5 Page
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  L1.3 A1 Rational Functions - Part 6 Page
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  L1.3 A2 Practice Page
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  L1.3 A3 Practice Solutions Page
- B: Solving Rational Equations
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  L1.3 B1 Solving Rational Equations - Part 1 Page
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  L1.3 B1 Solving Rational Equations - Part 2 Page
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  L1.3 B1 Solving Rational Equations - Part 3 Page
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  L1.3 B1 Solving Rational Equations - Part 4 Page
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  L1.3 B2 Practice Page
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  L1.1 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 1.3
  
  Receive a grade
- Quiz
  
  Quiz 1.3
  
  Receive a grade
- Lesson 1.4: Exponential Functions
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  Unit 1.4: Exponential Functions Page
- A: Exponential Functions
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  L1.4 A1 Exponential Functions Warm Up Page
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  L1.4 A2 Exponential Functions - Part 1 Page
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  L1.4 A2 Exponential Functions - Part 2 Page
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  L1.4 A2 Exponential Functions - Part 3 Page
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  L1.4 A2 Exponential Functions - Part 4 Page
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  L1.4 A2 Exponential Functions - Part 5 Page
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  L1.4 A3 Practice Page
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  L1.4 A4 Practice Solutions Page
- B: Solving Exponential Equations
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  L1.4 B1 Solving Exponential Equations - Part 1 Page
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  L1.4 B1 Solving Exponential Equations - Part 2 Page
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  L1.4 B1 Solving Exponential Equations - Part 3 Page
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  L1.4 B1 Solving Exponential Equations - Part 4 Page
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  L1.4 B2 Practice Page
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  L1.4 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 1.4
  
  Receive a grade
- Quiz
  
  Quiz 1.4
  
  Receive a grade
Unit 2 ~ Trigonometry
- Lesson 2.1: Angles of Rotation and the Unit Circle
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  Unit 2.1: Angles of Rotation and the Unit Circle Page
- A: Angles of Rotation
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  L2.1 A1 Introduction to Angles of Rotation and the Unit Circle Page
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  L2.1 A2 Explore the Lesson Page
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  L2.1 A3 Converting between Radians and Degrees Page
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  L2.1 A4 Angles in Standard Position Page
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  L2.1 A5 Coterminal Angles Page
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  L2.1 A6 Arc Length Page
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  L2.1 A7 Practice Page
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  L2.1 A8 Practice Solutions Page
- B: The Unit Circle
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  L2.1 B1 The Unit Circle - Part 1 Page
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  L2.1 B1 The Unit Circle - Part 2 Page
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  L2.1 B2 Reference Triangles - Part 1 Page
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  L2.1 B2 Reference Triangles - Part 2 Page
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  L2.1 B2 Reference Triangles - Part 3 Page
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  L2.1 B3 Practice Page
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  L2.1 B4 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 2.1
  
  Receive a grade
- Quiz
  
  Quiz 2.1
  
  Receive a grade
- Lesson 2.2: Ratios and Equations
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  Unit 2.2: Ratios and Equations Page
- A. Primary Trigonometric Ratios
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  L2.2 A1 Primary Trigonometric Ratios Warm Up Page
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  L2.2 A2 Trigonometric Ratios - Part 1 Page
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  L2.2 A2 Trigonometric Ratios - Part 2 Page
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  L2.2 A2 Trigonometric Ratios - Part 3 Page
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  L2.2 A2 Trigonometric Ratios - Part 4 Page
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  L2.2 A2 Trigonometric Ratios - Part 5 Page
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  L2.2 A2 Trigonometric Ratios - Part 6 Page
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  L2.2 A2 Trigonometric Ratios - Part 7 Page
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  L2.2 A3 Practice Page
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  L2.2 A4 Practice Solutions Page
- B. Solving Trigonometric Equations
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  L2.2 B1 Solving Trigonometric Equations - Part 1 Page
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  L2.2 B1 Solving Trigonometric Equations - Part 2 Page
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  L2.2 B1 Solving Trigonometric Equations - Part 3 Page
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  L2.2 B2 Practice Page
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  L2.2 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 2.2
  
  Receive a grade
- Quiz
  
  Quiz 2.2
  
  Receive a grade
- Lesson 2.3: Sinusoidal Functions and Graphs
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  Unit 2.3: Graphing Trigonometric Functions Page
- A. Graphing Trigonometric Functions
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  L2.3 A1 Graphing Trigonometric Functions Investigation Page
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  L2.3 A2 Graphing the Function - Part 1 Page
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  L2.3 A2 Graphing the Function - Part 2 Page
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  L2.3 A2 Graphing the Function - Part 3 Page
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  L2.3 A3 Graphing the Cosine Function Page
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  L2.3 A4 Graphing the Tangent Function - Part 1 Page
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  L2.3 A4 Graphing the Tangent Function - Part 2 Page
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  L2.3 A4 Graphing the Tangent Function - Part 3 Page
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  L2.3 A5 Practice Page
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  L2.3 A6 Practice Solutions Page
- B. Solving Trigonometric Equations Graphically
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  L2.3 B1 Solving Trigonometric Equations Graphically - Part 1 Page
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  L2.3 B1 Solving Trigonometric Equations Graphically - Part 2 Page
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  L2.3 B2 Practice Page
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  L2.3 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 2.3
  
  Receive a grade
- Quiz
  
  Quiz 2.3
  
  Receive a grade
- Lesson 2.4: Trigonometric Identities
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  Unit 2.4: Trigonometric Identities Page
- A. Reciprocal, Quotient, and Pythagorean Identities
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  L2.4 A1 Trigonometric Identities Investigation Page
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  L2.4 A2 Reciprocal, Quotient, and Pythagorean Identities - Part 1 Page
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  L2.4 A2 Reciprocal, Quotient, and Pythagorean Identities - Part 2 Page
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  L2.4 A2 Reciprocal, Quotient, and Pythagorean Identities - Part 3 Page
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  L2.4 A3 Practice Page
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  L2.4 A4 Practice Solutions Page
- B. Sum, Difference, and Double Angle Identities
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 1 Page
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 2 Page
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 3 Page
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 4 Page
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 5 Page
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  L2.4 B1 Sum, Difference, and Double Angle Identities - Part 6 Page
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  L2.4 B2 Practice Page
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  L2.4 B3 Practice Solutions Page
- C. Proving Trigonometric Identities
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  L2.4 C1 Proving Trigonometric Identities - Part 1 Page
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  L2.4 C1 Proving Trigonometric Identities - Part 2 Page
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  L2.4 C2 Practice Page
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  L2.4 C3 Practice Solutions Page
- D. Solving Equations using Identities
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  L2.4 D1 Solving Equations using Identities - Part 1 Page
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  L2.4 D1 Solving Equations using Identities - Part 2 Page
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  L2.4 D2 Practice Page
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  L2.4 D3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 2.4
  
  Receive a grade
- Quiz
  
  Quiz 2.4
  
  Receive a grade
Midterm Exam
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  Midterm Exam Page
Unit 3 ~ Transformations
- Lesson 3.1: Transforming Functions
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  Unit 3.1: Transforming Functions Page
- A. Translations
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  L3.1 A1 Introduction to Transformations Investigation Page
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  L3.1 A2 Explore the Lesson Page
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  L3.1 A3 Vertical and Horizontal Translations Page
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  L3.1 A4 Using Mapping Page
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  L3.1 A5 Practice Page
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  L3.1 A6 Practice Solutions Page
- B. Reflections and Stretches
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  L3.1 B1 Reflections and Stretches - Part 1 Page
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  L3.1 B1 Reflections and Stretches - Part 2 Page
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  L3.1 B1 Reflections and Stretches - Part 3 Page
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  L3.1 B1 Reflections and Stretches - Part 4 Page
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  L3.1 B2 Practice Page
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  L3.1 B3 Practice Solutions Page
- C. Combining Transformations
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  L3.1 C1 Combining Transformations Page
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  L3.1 C2 Practice Page
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  L3.1 C3 Practice Solutions Page
- D. Inverse of a Function
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  L3.1 D1 The Inverse of a Function - Part 1 Page
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  L3.1 D1 The Inverse of a Function - Part 2 Page
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  L3.1 D1 The Inverse of a Function - Part 3 Page
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  L3.1 D2 Practice Page
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  L3.1 D3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 3.1
  
  Receive a grade
- Quiz
  
  Quiz 3.1
  
  Receive a grade
- Lesson 3.2: Transforming Radical, Sinusoidal, Exponential, and Rational Functions
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  Unit 3.2: Transforming Radical, Sinusoidal, Exponential, and Rational Functions Page
- A. Transforming Radical Functions
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  L3.2 A1 Introduction to Transforming Radical Functions Investigation Page
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  L3.2 A2 Transforming Radical Functions - Part 1 Page
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  L3.2 A2 Transforming Radical Functions - Part 2 Page
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  L3.2 A2 Transforming Radical Functions - Part 3 Page
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  L3.2 A3 Practice Page
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  L3.2 A4 Practice Solutions Page
- B. Transforming Sinusoidal Functions
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  L3.2 B1 Transforming Sinusoidal Functions - Part 1 Page
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  L3.2 B1 Transforming Sinusoidal Functions - Part 2 Page
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  L3.2 B1 Transforming Sinusoidal Functions - Part 3 Page
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  L3.2 B1 Transforming Sinusoidal Functions - Part 4 Page
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  L3.2 B1 Transforming Sinusoidal Functions - Part 5 Page
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  L3.2 B1 Transforming Sinusoidal Functions - Part 6 Page
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  L3.2 B2 Practice Page
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  L3.2 B3 Practice Solutions Page
- C. Transforming Exponential Functions
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  L3.2 C1 Transforming Exponential Functions Page
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  L3.2 C2 Practice Page
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  L3.2 C3 Practice Solutions Page
- D. Transforming Rational Functions
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  L3.2 D1 Transforming Rational Functions - Part 1 Page
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  L3.2 D1 Transforming Rational Functions - Part 2 Page
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  L3.2 D1 Transforming Rational Functions - Part 3 Page
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  L3.2 D2 Practice Page
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  L3.2 D3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 3.2
  
  Receive a grade
- Quiz
  
  Quiz 3.2
  
  Receive a grade
Unit 4 ~ Logarithms
- Lesson 4.1: Introduction to Logarithms
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  Unit 4.1: Introduction to Logarithms Page
- A. Understanding Logarithms
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  L4.1 A1 Exponent Laws Warm Up Page
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  L4.1 A2 Exponent Laws Investigation Page
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  L4.1 A3 Explore the Lesson - Part 1 Page
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  L4.1 A3 Explore the Lesson - Part 2 Page
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  L4.1 A3 Explore the Lesson - Part 3 Page
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  L4.1 A4 Converting from Exponential to Logarithmic Form Page
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  L4.1 A5 Practice Page
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  L4.1 A6 Practice Solutions Page
- B. Transformations of Logarithmic Functions
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  L4.1 B1 Transformations of Logarithmic Functions Page
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  L4.1 B2 Practice Page
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  L4.1 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 4.1
  
  Receive a grade
- Quiz
  
  Quiz 4.1
  
  Receive a grade
- Lesson 4.2: Logarithmic Laws and Equations
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  Unit 4.2: Logarithmic Laws and Equations Page
- A. Laws of Logarithms
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  L4.2 A1 Investigation Page
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  L4.2 A2 Laws of Logarithms - Part 1 Page
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  L4.2 A2 Laws of Logarithms - Part 2 Page
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  L4.2 A2 Laws of Logarithms - Part 3 Page
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  L4.2 A2 Laws of Logarithms - Part 4 Page
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  L4.2 A2 Laws of Logarithms - Part 5 Page
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  L4.2 A3 Practice Page
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  L4.2 A4 Practice Solutions Page
- B. Logarithmic and Exponential Equations
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  L4.2 B1 Logarithmic and Exponential Equations Page
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  L4.2 B2 Practice Page
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  L4.2 B3 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  L4.2 Explore Your Understanding Assignment 4.2
  
  Receive a grade
- Quiz
  
  Quiz 4.2
  
  Receive a grade
Unit 5 ~ Function Operations
- Lesson 5.1: Operations and Composites
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  Unit 5.1: Introduction to Operations and Composites Page
- A. Operations and Composites
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  L5.1 A1 Operations and Composites Investigation Page
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  L5.1 A2 Explore the Lesson - Part 1 Page
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  L5.1 A3 Explore the Lesson - Part 2 Page
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  L5.1 A4 Practice Page
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  L5.1 A5 Practice Solutions Page
- B. Products and Quotients of Functions
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  L5.1 B1 Products and Quotients Page
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  L5.1 B2 Practice Page
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  L5.1 B3 Practice Solutions Page
- C. Composite Functions
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  L5.1 C1 Composite Functions - Part 1 Page
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  L5.1 C2 Composite Functions - Part 2 Page
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  L5.1 C3 Composite Functions - Part 3 Page
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  L5.1 C4 Practice Page
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  L5.1 C5 Practice Solutions Page
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  Additional Resources Page
- Assignment
  
  Explore Your Understanding Assignment 5.1
  
  Receive a grade
- Quiz
  
  Quiz 5.1
  
  Receive a grade
Unit 6 ~ Permutations, Combinations, and The Binomial Theorem
- Lesson 6.1: Permutations and Combinations
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  Unit 6.1: Permutations and Combinations Page