# Integrated Math 3

Integrated Math III completes the three courses sequence of Integrated Mathematics course. This year-long course addresses the Common Core Standards for Integrated Math III as described in the state framework. It brings together knowledge acquired in the previous two courses and uses it as a spring board to expand into more complex territory. Students will prepare for future advanced mathematics courses by expanding their knowledge of functions, right triangle trigonometry, and experiences with data as they solve sophisticated problems using critical thinking skills and mathematical modeling. Prerequisites: Integrated Math 1 and Integrated Math 2. RECOMMENDED PREREQUISITE: Successful completion of Integrated Math 2.

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## SEMESTER 1

**Unit 1: Drawing Conclusions from Data**

- Components of a Statistical Study
- Normal Distributions (Part 1)
- Normal Distributions (Part 2)
- Simulations Spinners
- Simulations Dice
- Margin of Error
- Inferences

**Unit 2: Linear Equations, Inequalities and Functions**

- Transforming Functions
- Absolute Value Graphs
- Two-variable Inequalities
- Solving Systems of Equations Graphically
- Solving Systems of Equations Algebraically
- Systems of Inequalities
- Applications

**Unit 3: Polynomials and Polynomial Functions**

- Polynomial Functions
- Adding, Subtracting Polynomials
- Multiplying Polynomials
- Dividing Polynomials
- Polynomials, Linear Factors and Zeros
- Solving Polynomial Equations
- Rational Roots Theorem
- Fundamental Theorem of Algebra
- Graphing Polynomials Functions
- Transforming Polynomial Functions

**Unit 4: Rational Expressions and Functions**

- Simplifying Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Graphing Rational Functions
- The Reciprocal Function Family

## SEMESTER 2

**Unit 5: Roots and Radicals Functions**

- Roots and Radical Expressions
- Multiplication and Division of Radical Functions
- Binomial Radical Expressions
- Rational Exponents
- Solving Square Root
- Function Operations
- Inverse Relations and Functions
- Graphing Radical Functions

**Unit 6: Exponential and Logarithmic Functions**

- Exploring Exponential Models
- Properties of Exponential Functions
- Exponential Functions and Their Inverses
- Logarithms and Their Graphs
- Properties of Logarithms
- Change of Base
- Exponential and Logarithmic Equations

**Unit 7: Trigonometric Functions**

- Exploring Periodic Data
- Angles and the Unit Circle
- Radian Measure
- The Sine Function
- The Cosine Function
- Translating Sine and Cosine Functions
- The Tangent Function
- Reciprocal Trigonometric Functions

**Unit 8: Applying Geometric Concepts**

- Exploring Density and Design
- Perimeter and Areas of Similar Figures
- Geometric Probability
- Rotations and Cross Sections
- A New Look at Parabolas
- Circles in the Coordinate Plane