College Algebra

Central Theme

The goal of College Algebra is to help students develop a deep understanding of families of functions and utilize them to build/interpret representations and model real-life applications. As a Note: The CRA is given later in the week but you should plan on the following:

[10 Minutes] Take 10 minutes to introduce the CRA and have students sign up to take the CRA in the learning commons on Tuesday.

[30 minutes] Give the CRA.

Day 1

Covariational Reasoning

Chapter 1

1.1 Functions

1.2 Rate of Change

1.3 Linear Functions

1.4 Finding Linear Functions

1.5 Comparing Linear Functions

1.6 Function Notation Input & Output

1.7 Domain & Range

Chapter 2

2.1 Piecewise Functions

2.2: A Brief Introduction to Composite & Inverse Functions

Chapter 3

3.1: Exponential Functions

3.2: Comparing Exponential & Linear Growth

3.3: Graphs of Exponential Functions

3.4: Compound Growth

3.5: Continuous Growth

Chapter 4

4.1: Inverse Functions

Interlude: Introduction to Logarithms

4.2: Properties of Logarithms Part II

4.3: Logarithms & Exponential Models

4.4: Applications of the Logarithm

Chapter 5

5.1: Function Composition

5.2: Vertical & Horizontal Shifts

5.3: Reflections & Even and Odd Functions

5.4: Vertical Stretches & Compressions

5.5: Horizontal Stretches & Compressions

5.6: Combining Transformations

Chapter 6

6.1: Introduction to Quadratic Functions

6.2: The Vertex of a Parabola

Chapter 7

7.1: Combining Functions

7.2: Power Functions

Chapter 8

8.1: Polynomial Functions

8.2: Short-Run Behavior

8.3: Long-Run Behavior of Rational Functions

8.4: Short-Run Behavior of Rational Functions

Exam Review

Math 101 Exam 1

Math 101 Exam 2

Math 101 Exam 3