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Right Triangles

Missing Sides and Angles

Sine, Cosine, and Tangent

Graph Functions

Trigonometric Equations

Circles and Conics

Vectors

Matrix Algebra

Complex Numbers

Polar Coordinates

Probability and Combinations

Sequences and Proofs

Fraction Expansion

Secant Line Slopes

Derivatives

Function Derivatives

Derivative Properties

Derivative Applications

Linear Motion

Critical Points

Maxima and Minima

Concavity and Inflection

Limits

Estimating Limits

Finding Limits Algebraically

Continuity Limits

Whole Numbers

1.2 Add Whole Numbers

1.3 Subtract Whole Numbers

1.4 Multiply Whole Numbers

1.5 Divide Whole Numbers

Language of Algebra

2.1 Use the Language of Algebra

2.2 Evaluate, Simplify, and Translate Expressions

2.3 Subtraction and Addition Properties of Equality

2.4 Find Multiples and Factors

2.5 Prime Factorization, Least Common Multiple (LCM)

Integers

3.2 Add Integers

3.3 Subtract Integers

3.4 Multiply and Divide Integers

3.5 Solve Equations Using Integers;

The Division Property of Equality

Fractions

4.1 Visualize Fractions

4.2 Multiply and Divide Fractions

4.3 Multiply and Divide Mixed Numbers and Complex Fractions

4.4 Add and Subtract Fractions, Common Denominators

4.5 Add and Subtract Fractions, Different Denominators

4.6 Add and Subtract Mixed Numbers

4.7 Solve Equations with Fractions

Decimals

5.2 Decimal Operations

5.3 Decimals and Fractions

5.4 Solve Equations with Decimals

5.5 Averages and Probability

5.6 Ratios and Rate

5.7 Simplify and Use Square Roots

Percent

6.1 Understand Percent

6.2 Solve General Applications of Percent

6.3 Solve Sales Tax, Commission, Discount Applications

6.4 Solve Simple Interest Applications

6.5 Solve Proportions and their Applications

Real Numbers

7.1 Rational and Irrational Numbers

7.2 Commutative and Associative Properties

7.3 Distributive Property

7.4 Properties of Identity, Inverses, and Zero

7.5 Systems of Measurement

Linear Equations

8.1 Solve Equations using Subtraction and Addition Properties of Equality

8.2 Solve Equations using Division and Multiplication Properties of Equality

8.3 Solve Equations with Variables and Constants on Both Sides

8.4 Solve Equations with Fraction or Decimal Coefficients

Geometry

9.1 Use a Problem Solving Strategy

9.2 Solve Money Applications

9.3 Use Properties of Angles, Triangles, and the Pythagorean Theorem

9.4 Use Properties of Rectangles, Triangles, and Trapezoids

9.5 Solve Geometry Applications: Circles and Irregular Figures

9.6 Solve Geometry Applications: Volume and Surface Area

9.7 Solve a Formula for a Specific Variable

Polynomials

10.1 Add and Subtract Polynomials

10.2 Use Multiplication Properties of Exponents

10.3 Multiply Polynomials

10.4 Divide Monomials

10.5 Integer Exponents and Scientific Notation

10.6 Introduction to Factoring Polynomials

Graphs

11.1 Use the Rectangular Coordinate System

11.2 Graphing Linear Equations

11.3 Graphing with Intercepts

11.4 Understand Slope of a Line

Solving Linear Equations

2.1 Solve Linear Equations

2.2 Problem Solving Strategy

2.3 Solve a Formula for a Specific Variable

2.4 Solve Mixture and Uniform Motion

2.5 Linear Inequalities

2.6 Compound Inequalities

2.7 Absolute Value Inequalities

Graphs

3.1 Graph Linear Equations in Two Variables

3.2 Slope of a Line

3.3 Find the Equation of a Line

3.4 Graph Linear Inequalities in Two Variables

3.5 Relations and Functions

3.6 Graphs of Functions

Linear Equations

4.1 Linear Equations with Two Variables

4.2 Systems of Equations

4.3 Solve Mixture Applications

4.4 Equations with Three Variables

4.5 Matrices

4.6 Determinants

4.7 Graphing Linear Inequalities

Polynomials

5.1 Add and Subtract Polynomials

5.2 Exponents and Scientific Notation

5.3 Multiply Polynomials

5.4 Dividing Polynomials

Factoring

6.1 Greatest Common Factor

6.2 Factor Trinomials

6.3 Factor Special Products

6.4 General Strategy for Factoring Polynomials

6.5 Polynomial Equations

Rational Expressions

7.1 Multiply and Divide Rational Expressions

7.2 Add and Subtract Rational Expressions

7.3 Simplify Complex Rational Expressions

7.4 Solve Rational Equations

7.5 Solve Applications with Rational Equations

7.6 Solve Rational Inequalities

Roots and Radicals

8.1 Simplify Expressions with Roots

8.2 Simplify Radical Expressions

8.3 Simplify Rational Exponents

8.4 Add, Subtract, and Multiply Radical Expressions

8.5 Divide Radical Expressions

8.6 Solve Radical Equations

8.7 Use Radicals in Functions

8.8 Use the Complex Number System

Quadratic Equations

9.1 Square Root Property

9.2 Completing the Square

9.3 Quadratic Formula

9.5 Solve Applications

9.6 Graph Quadratic Functions

9.8 Quadratic Inequalities

Exponents and Logarithm

10.1 Finding Composite and Inverse Functions

10.2 Evaluate and Graph Exponential Functions

10.3 Evaluate and Graph Logarithmic Functions

10.4 Use the Properties of Logarithms

10.5 Solve Exponential and Logarithmic Equations

Conics

11.1 Distance and Midpoint Formulas; Circles

11.2 Parabolas

11.3 Ellipses

11.4 Hyperbolas

11.5 Solve Systems of Nonlinear Equations

Sequences, Series

12.2 Arithmetic Sequences

12.3 Geometric Sequences and Series

12.4 Binomial Theorem

Sampling and Data

1.1 Definitions of Statistics, Probability

1.2 Data, Sampling, and Variation

1.3 Frequency, Frequency Tables

1.4 Experimental Design and Ethics

1.5 Data Collection Experiment

1.6 Sampling Experiment

Descriptive Statistics

2.1 Stem-and-Leaf Graphs, Bar Graphs

2.2 Histograms, Frequency Polygons, Time Series Graphs

2.3 Measures of the Location of the Data

2.4 Box Plots

2.5 Measures of the Center of the Data

2.6 Skewness and the Mean, Median, and Mode

2.7 Measures of the Spread of the Data

2.8 Descriptive Statistics

Probability Topics

3.1 Terminology

3.2 Independent and Mutually Exclusive Events

3.3 Two Basic Rules of Probability

3.4 Contingency Tables

3.5 Tree and Venn Diagrams

3.6 Probability Topics

Discrete Random Variables

4.1 Probability Distribution Function

4.2 Mean or Expected Value and Standard Deviation

4.3 Binomial Distribution

4.4 Geometric Distribution

4.5 Hypergeometric Distribution

4.6 Poisson Distribution

4.7 Discrete Distribution (Playing Card Experiment)

4.8 Discrete Distribution (Lucky Dice Experiment)

Continuous Random Variables

5.1 Continuous Probability Functions

5.2 The Uniform Distribution

5.3 The Exponential Distribution

5.4 Continuous Distribution

The Normal Distribution

6.1 The Standard Normal Distribution

6.2 Using the Normal Distribution

6.3 Normal Distribution—Lap Times

6.4 Normal Distribution—Pinkie Length

The Central Limit Theorem

7.1 The Central Limit Theorem for Sample Means

7.2 The Central Limit Theorem for Sums

7.3 Using the Central Limit Theorem

7.4 Central Limit Theorem (Pocket Change)

7.5 Central Limit Theorem (Cookie Recipes)

Confidence Intervals

8.1 Normal Distribution

8.2 Student's t-Distribution

8.3 A Population Proportion

8.4 Confidence Interval (Home Costs)

8.5 Confidence Interval (Place of Birth)

8.6 Confidence Interval (Women's Heights)

Hypothesis Testing with One Sample

9.1 Null and Alternative Hypotheses

9.2 Outcomes and the Type I and Type II Errors

9.3 Distribution Needed for Hypothesis Testing

9.4 Rare Events, the Sample, and the Decision and Conclusion

9.5 Additional Information and Full Hypothesis Test Examples

9.6 Hypothesis Testing of a Single Mean and Single Proportion

Hypothesis Testing with Two Samples

10.1 Two Population Means, Unknown Standard Deviations

10.2 Two Population Means, Known Standard Deviations

10.3 Comparing Two Independent Population Proportions

10.4 Matched or Paired Samples

10.5 Hypothesis Testing for Two Means

The Chi-Square Distribution

11.1 Facts About the Chi-Square Distribution

11.2 Goodness-of-Fit Test

11.3 Test of Independence

11.4 Test for Homogeneity

11.5 Comparison of the Chi-Square Tests

11.6 Test of a Single Variance

11.7 Lab 1: Chi-Square Goodness-of-Fit

11.8 Lab 2: Chi-Square Test of Independence

Linear Regression and Correlation

12.1 Linear Equations

12.2 The Regression Equation

12.3 Correlation Coefficient

12.4 Prediction

12.5 Outliers

12.6 Regression (Distance from School)

12.7 Regression (Textbook Cost)

12.8 Regression (Fuel Efficiency)

F-Distribution and One-way Anova

13.1 One-Way ANOVA

13.2 The F Distribution and the F Ratio

13.3 Facts About the F Distribution

13.4 Test of Two Variances

13.5 Lab: One-Way ANOVA

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