## Course Description

Integrated Math 3 completes the three-course sequence of Integrated Mathematics and is designed to further explore the principles introduced in Math 1 and Math 2 in preparation for enrolling in advanced mathematics courses. This course brings together knowledge acquired in the previous two courses and uses it as a bridge to expand into more complex territory. Students will expand their knowledge of linear, exponential, and quadratic functions to polynomials, rationals, and trigonometric functions. Students will also extend their previous work with circles to other conic sections, their understanding of trigonometry to all triangles, and experiences with data as they solve sophisticated problems. Students will experience mathematics as a coherent, useful, and logical subject that draws their ability to make sense of problem situations, and will develop the ability to explore and solve mathematical problems, think critically, and work cooperatively with other students and communicate mathematical ideas clearly.

# Integrated Math 3

## Supplies Needed

Students in Integrated 3 will need a spiral graph notebook, a composition notebook, calculator (at least Scientific, but graphing is preferred), colored pencils, dry erase markers, and dry eraser.

## Resources

## Chapter 1: Investigations & Functions

**Extra Practice (Guide and Problems):**

- PDF Lesson 1.1.1 to 1.1.3: Investigations and Functions
- PDF Lesson 1.2.1: Determining Points of Intersection
- PDF Lesson 1.2.3: Comparing and Representing Data
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 3: Solving & Inequalities

**Extra Practice (Guide and Problems):**

- PDF Lesson 3.1.1 to 3.1.4: Solving Systems of Equations
- PDF Lesson 3.2.1 to 3.2.4: Inequalities
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 5: Inverses & Logarithms

**Extra Practice (Guide and Problems):**

**Additional Practice Worksheets:**

## Chapter 7: Logarithms & Triangles

**Extra Practice (Guide and Problems):**

- PDF Lesson 7.1.1 and 7.1.4: Solving with Logarithms
- PDF Lesson 7.2.1 to 7.2.3: Non-Right Triangles
- PDF Lesson 7.2.4 and 7.2.5: Ambiguous Case of the Law of Sines
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 9: Trigonometric Functions

**Extra Practice (Guide and Problems):**

- PDF Lesson 9.1.1 to 9.1.7: Trigonometric
- PDF Lesson 9.2.1 to 9.2.4: Transforming Trigonometric Functions
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 11:Rational Expressions & Three-Variable Systems

**Extra Practice (Guide and Problems):**

- PDF Lesson 11.1.1: Simplifying Expressions
- PDF Lesson 11.1.2: Multiplication and Division of Rational Expressions
- PDF Lesson 11.1.3: Addition and Subtraction of Rational Expressions
- PDF Lesson 11.2.1 to 11.2.4: Systems of Three Equations
- SAT Prep PDF

**Additional Practice Worksheets:**

## FORMS

**Quiz Corrections**

Learning from my Mistakes - Mariscal

Learning from my Mistakes - Straub & Conley

**Test Retake**

Request to Retest - Mariscal

Request to Retest - Straub & Conley

Math 22 Application

## TI 83/84 Graphing Functions

## Chapter 2: Transformations of Parent Graphs

**Extra Practice (Guide and Problems):**

- PDF Lesson 2.1.1 & 2.1.2: Transformations of
*f*(*x*)=*x*^{2} - PDF Lesson 2.2.1 to 2.2.4: Transforming Parent Graphs
- PDF Lesson 2.3.1: Completing the Square
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 4: Normal Distributions & Geometric Modeling

**Extra Practice (Guide and Problems):**

- PDF Lesson 4.1.1 to 4.1.3: Survey Design, Sampling and Bias
- PDF Lesson 4.2.1 & 4.2.2: Testing Cause and Effect with Experiments and Conclusions from Observational Studies
- PDF Lesson 4.3.1: Relative Frequency Histograms
- PDF Lesson 4.3.2 & 4.3.3: The Normal Probability Density Function and Percentiles
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 6: Simulating, Sampling, Variability

**Extra Practice (Guide and Problems):**

- PDF Lesson 6.1.1 & 6.1.2: Simulation
- PDF Lesson 6.1.4, 6.2.1 to 6.2.3: Sample-to-Sample Variability, Margin of Error, and Statistical Hypothesis Testing
- PDF Lesson 6.4.1: Counterintuitive Probability
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 8: Polynomials

**Extra Practice (Guide and Problems):**

- PDF Lesson 8.1.1 to 8.1.3: Polynomials
- PDF Lesson 8.2.1 & 8.2.2: Complex Numbers
- PDF Lesson 8.3.1 to 8.3.3: Factoring Polynomial Functions
- SAT Prep PDF

**Additional Practice Worksheets:**

## Chapter 10: Series

**Extra Practice (Guide and Problems):**

- PDF Lesson 10.1.1 to 10.1.4: Arithmetic Series
- PDF Lesson 10.2.1 & 10.2.2: Geometric Series
- PDF Lesson 10.3.2: Pascual’s Triangle
- SAT Prep PDF

**Additional Practice Worksheets:**