## Core Connections Integrated III

• Publisher: CPM 2015
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### 1: Investigations and Functions

#### 1.1: Section 1.1

1.1.2: Using a Graphing Calculator to Explore a Function

1.1.3: Function Investigation

1.1.4: Combining Linear Functions

#### 1.2: Section 1.2

1.2.3: Describing Data

### 2: Transformations of Parent Graphs

#### 2.2: Section 2.2

2.2.1: Transforming Other Parent Graphs

2.2.2: Describing (h, k) for Each Family of Functions

2.2.3: Transformations of Functions

2.2.4: Transforming Non-Functions

### 3: Solving and Inequalities

#### 3.1: Section 3.1

3.1.1: Strategies for Solving Equations

3.1.3: Multiple Solutions to Systems of Equations

#### 3.2: Section 3.2

3.2.1: Solving Inequalities with One or Two Variables

3.2.2: Using Systems to Solve a Problem

3.2.3: Applications of Systems of Inequalities

### 4: Normal Distributions and Geometric Modeling

#### 4.1: Section 4.1

4.1.2: Samples and the Role of Randomness

#### 4.3: Section 4.3

4.3.1: Relative Frequency Histograms

4.3.2: The Normal Probability Density Function

### 5: Inverses and Logarithms

#### 5.1: Section 5.1

5.1.1: "Undo" Equations

#### 5.2: Section 5.2

5.2.1: The Inverse of an Exponential Function

5.2.2: Defining the Inverse of an Exponential Function

5.2.3: Investigating the Family of Logarithmic Functions

5.2.4: Transformations of Logarithmic Functions

### 6: Simulating Sampling Variability

#### 6.1: Section 6.1

6.1.1: Simulations of Probability

6.1.2: More Simulations of Probability

6.1.3: Simulating Sampling Variability

#### 6.2: Section 6.2

6.2.1: Statistical Test Using Sampling Variability

6.2.2: Variability in Experimental Results

### 7: Logarithms and Triangles

#### 7.1: Section 7.1

7.1.1: Using Logarithms to Solve Exponential Equations

7.1.3: Writing Equations of Exponential Functions

#### 7.2: Section 7.2

7.2.1: Determining Missing Parts of Triangles

7.2.4: The Ambiguous Case

### 8: Polynomials

#### 8.1: Section 8.1

8.1.1: Sketching Graphs of Polynomial Functions

8.1.2: More Graphs of Polynomial Functions

#### 8.2: Section 8.2

8.2.1: Writing Equations Using Complex Roots

8.2.2: More Real and Complex Roots

#### 8.3: Section 8.3

8.3.1: Polynomial Division

8.3.2: Factors and Rational Zeros

8.3.4: Special Cases of Factoring

### 9: Trigonometric Functions

#### 9.1: Section 9.1

9.1.2: Graphing the Sine Function

9.1.3: Unit Circle <---> Graph

9.1.4: Graphing and Interpreting the Cosine Function

9.1.6: Building a Unit Circle

9.1.7: The Tangent Function

#### 9.2: Section 9.2

9.2.1: Transformations of y = sin(x)

9.2.2: One More Parameter for a Periodic Function

9.2.3: Period of a Trigonometric Function

9.2.4: Graph <---> Equation

### 10: Series

#### 10.1: Section 10.1

10.1.1: Introduction to Arithmetic Series

#### 10.2: Section 10.2

10.2.1: Geometric Series

#### 10.3: Section 10.3

10.3.1: Using a Binomial Probability Model

10.3.2: Pascal's Triangle and the Binomial Theorem

10.3.3: The Number e

### 12: Analytic Trigonometry

#### 12.1: Section 12.1

12.1.2: Solutions to Trigonometric Equations

#### 12.2: Section 12.2

12.2.1: Trigonometric Identities

12.2.2: Proving Trigonometric Identities

12.2.3: Angle Sum and Difference Identities

Content correlation last revised: 11/25/2020