# Integrated Math 3

## Course Summary

Building on knowledge attained in the previous two Integrated Math courses, students delve into more complex mathematical territory. Learn how to draw conclusions from data and expand comprehension of functions and right triangle trigonometry. In this course, students employ critical-thinking skills and mathematical modeling to solve sophisticated problems and to ensure preparedness for advanced mathematics courses.

This course is the third of a three-year Integrated Math series.

**Course Prerequisite(s):**Integrated Math 2

## Curriculum

This is a 2-semester course. We do not recommend taking both semesters simultaneously.

##### 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 and 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

##### 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