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Course Description

Course at a Glance

UnitUnit TitleSource Start Page
1Linear Functions1
2Quadratic Functions45
3Quadratic Equations and Complex Numbers91
4Polynomial Functions155
5Rational Exponents and Radical Functions235
6Exponential and Logarithmic Functions293
7Rational Functions357
8Sequences and Series407
9Trigonometric Ratios and Functions459
10Probability535
11Data Analysis and Statistics593

Unit 1: Linear Functions

Source starting page: 1

Unit Topics and Lessons

1.1 — Parent Functions and Transformations  |  Exploration and Lesson

1.2 — Transformations of Linear and Absolute Value Functions  |  Exploration and Lesson

1.3 — Modeling with Linear Functions  |  Exploration and Lesson

1.4 — Solving Linear Systems  |  Exploration and Lesson

Study Skills

Taking Control of Your Class Time

Performance Task

Secret of the Hanging Baskets

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 2: Quadratic Functions

Source starting page: 45

Unit Topics and Lessons

2.1 — Transformations of Quadratic Functions  |  Exploration and Lesson

2.2 — Characteristics of Quadratic Functions  |  Exploration and Lesson

2.3 — Focus of a Parabola  |  Exploration and Lesson

2.4 — Modeling with Quadratic Equations  |  Exploration and Lesson

Study Skills

Using the Features of Your Textbook to Prepare for Quizzes and Tests

Performance Task

Accident Reconstruction

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 3: Quadratic Equations and Complex Numbers

Source starting page: 91

Unit Topics and Lessons

3.1 — Solving Quadratic Equations  |  Exploration and Lesson

3.2 — Complex Numbers  |  Exploration and Lesson

3.3 — Completing the Square  |  Exploration and Lesson

3.4 — Using the Quadratic Formula  |  Exploration and Lesson

3.5 — Solving Nonlinear Systems  |  Exploration and Lesson

3.6 — Quadratic Inequalities  |  Exploration and Lesson

Study Skills

Creating a Positive Study Environment

Performance Task

Algebra in Genetics: The Hardy-Weinberg Law

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 4: Polynomial Functions

Source starting page: 155

Unit Topics and Lessons

4.1 — Graphing Polynomial Functions  |  Exploration and Lesson

4.2 — Adding, Subtracting, and Multiplying Polynomials  |  Exploration and Lesson

4.3 — Dividing Polynomials  |  Exploration and Lesson

4.4 — Factoring Polynomials  |  Exploration and Lesson

4.5 — Solving Polynomial Equations  |  Exploration and Lesson

4.6 — The Fundamental Theorem of Algebra  |  Exploration and Lesson

4.7 — Transformations of Polynomial Functions  |  Exploration and Lesson

4.8 — Analyzing Graphs of Polynomial Functions  |  Exploration and Lesson

4.9 — Modeling with Polynomial Functions  |  Exploration and Lesson

Study Skills

Keeping Your Mind Focused

Performance Task

The Birds' Wildlife Management

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 5: Rational Exponents and Radical Functions

Source starting page: 235

Unit Topics and Lessons

5.1 — nth Roots and Rational Exponents  |  Exploration and Lesson

5.2 — Properties of Rational Exponents and Radicals  |  Exploration and Lesson

5.3 — Graphing Radical Functions  |  Exploration and Lesson

5.4 — Solving Radical Equations and Inequalities  |  Exploration and Lesson

5.5 — Performing Function Operations  |  Exploration and Lesson

5.6 — Inverse of a Function  |  Exploration and Lesson

Study Skills

Analyzing Your Errors

Performance Task

Turning the Tables

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 6: Exponential and Logarithmic Functions

Source starting page: 293

Unit Topics and Lessons

6.1 — Exponential Growth and Decay Functions  |  Exploration and Lesson

6.2 — The Natural Base e  |  Exploration and Lesson

6.3 — Logarithms and Logarithmic Functions  |  Exploration and Lesson

6.4 — Transformations of Exponential and Logarithmic Functions  |  Exploration and Lesson

6.5 — Properties of Logarithms  |  Exploration and Lesson

6.6 — Solving Exponential and Logarithmic Equations  |  Exploration and Lesson

6.7 — Modeling with Exponential and Logarithmic Functions  |  Exploration and Lesson

Study Skills

Forming a Weekly Study Group

Performance Task

Measuring Natural Disasters

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 7: Rational Functions

Source starting page: 357

Unit Topics and Lessons

7.1 — Inverse Variation  |  Exploration and Lesson

7.2 — Graphing Rational Functions  |  Exploration and Lesson

7.3 — Multiplying and Dividing Rational Expressions  |  Exploration and Lesson

7.4 — Adding and Subtracting Rational Expressions  |  Exploration and Lesson

7.5 — Solving Rational Equations  |  Exploration and Lesson

Study Skills

Analyzing Your Errors

Performance Task

Circuit Design

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 8: Sequences and Series

Source starting page: 407

Unit Topics and Lessons

8.1 — Defining and Using Sequences and Series  |  Exploration and Lesson

8.2 — Analyzing Arithmetic Sequences and Series  |  Exploration and Lesson

8.3 — Analyzing Geometric Sequences and Series  |  Exploration and Lesson

8.4 — Finding Sums of Infinite Geometric Series  |  Exploration and Lesson

8.5 — Using Recursive Rules with Sequences  |  Exploration and Lesson

Study Skills

Keeping Your Mind Focused

Performance Task

Integrated Circuits and Moore's Law

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 9: Trigonometric Ratios and Functions

Source starting page: 459

Unit Topics and Lessons

9.1 — Right Triangle Trigonometry  |  Exploration and Lesson

9.2 — Angles and Radian Measure  |  Exploration and Lesson

9.3 — Trigonometric Functions of Any Angle  |  Exploration and Lesson

9.4 — Graphing Sine and Cosine Functions  |  Exploration and Lesson

9.5 — Graphing Other Trigonometric Functions  |  Exploration and Lesson

9.6 — Modeling with Trigonometric Functions  |  Exploration and Lesson

9.7 — Using Trigonometric Identities  |  Exploration and Lesson

9.8 — Using Sum and Difference Formulas  |  Exploration and Lesson

Study Skills

Form a Final Exam Study Group

Performance Task

Lightening the Load

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 10: Probability

Source starting page: 535

Unit Topics and Lessons

10.1 — Sample Spaces and Probability  |  Exploration and Lesson

10.2 — Independent and Dependent Events  |  Exploration and Lesson

10.3 — Two-Way Tables and Probability  |  Exploration and Lesson

10.4 — Probability of Disjoint and Overlapping Events  |  Exploration and Lesson

10.5 — Permutations and Combinations  |  Exploration and Lesson

10.6 — Binomial Distributions  |  Exploration and Lesson

Study Skills

Making a Mental Cheat Sheet

Performance Task

A New Dartboard

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.

Unit 11: Data Analysis and Statistics

Source starting page: 593

Unit Topics and Lessons

11.1 — Using Normal Distributions  |  Exploration and Lesson

11.2 — Populations, Samples, and Hypotheses  |  Exploration and Lesson

11.3 — Collecting Data  |  Exploration and Lesson

11.4 — Experimental Design  |  Exploration and Lesson

11.5 — Making Inferences from Sample Surveys  |  Exploration and Lesson

11.6 — Making Inferences from Experiments  |  Exploration and Lesson

Study Skills

Reworking Your Notes

Performance Task

Curving the Test

Assessment and Completion

Complete the listed section explorations and lessons, followed by the unit's study-skill focus and performance task. The source also includes a Chapter Review, Chapter Test, and Cumulative Assessment.