1. An Introduction to Algebra
1.1. Describing Numerical Relationships
Using Tables, Rules and Graphs
1.2. The Real Numbers
Real Number Line - Activity B
1.3. Exponents and Order of Operations
Order of Operations
1.4. Algebraic Expressions
Using Algebraic Expressions
1.5. Solving Equations
Modeling One-Step Equations - Activity B
2. Real Numbers, Equations, and Inequalities
2.1. Adding and Subtracting Real Numbers
Adding and Subtracting Integers
2.3. Order of Operations and Evaluating Algebraic Expressions
Order of Operations
2.5. Solving Equations
Modeling One-Step Equations - Activity B
Solving Two-Step Equations
Modeling and Solving Two-Step Equations
2.6. Formulas
Solving Formulas for any Variable
2.8. Inequalities
Compound Inequalities
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
3. Graphs, Linear Equations, and Functions
3.1. Graphing using the Rectangular Coordinate System
Points in the Coordinate Plane - Activity B
3.2. Equations Containing Two Variables
Using Tables, Rules and Graphs
3.3. Graphing Linear Equations
Line Plots
3.4. Rate of Change and the Slope of a Line
Slope - Activity A
3.5. Describing Linear Relationships
Slope-Intercept Form of a Line - Activity A
3.6. Writing Linear Equations
Point-Slope Form of a Line - Activity A
3.7. Functions
Introduction to Functions
4. Exponents and Polynomials
4.4. Polynomials and Polynomial Functions
Fourth-Degree Polynomials - Activity A
Cubic Function Activity
4.5. Adding and Subtracting Polynomials
Addition of Polynomials - Activity B
4.7. Dividing Polynomials by Monomials
Dividing Exponential Expressions
4.8. Dividing Polynomials by Polynomials
Dividing Polynomials Using Synthetic Division
5. Factoring and Quadratic Equations
5.1. Factoring out the Greatest Common Factor and Factoring by Grouping
Factoring Special Products
5.2. Factoring the Difference of Two Squares
Factoring Special Products
5.3. Factoring Trinomials
Factoring Special Products
Quadratics in Factored Form
5.4. Quadratic Equations
Minimize Perimeter
5.5. The Quadratic Formula
Roots of a Quadratic
5.6. Graphing Quadratic Functions
Quadratic Functions
Quadratics in Polynomial Form - Activity A
Parabolas - Activity A
Roots of a Quadratic
Quadratics in Vertex Form - Activity A
6. Proportion and Rational Expressions
6.1. Ratios
Part:Part and Part:Whole Ratios
6.2. Proportions and Similar Triangles
Beam to Moon (Ratios and Proportions)
Estimating Population Size
Proportions and Common Multipliers
6.3. Rational Expressions and Rational Functions
Rational Functions
General Form of a Rational Function
6.4. Multiplying and Dividing Rational Expressions
General Form of a Rational Function
6.5. Adding and Subtracting Rational Expressions
General Form of a Rational Function
7. Solving Systems of Equations and Inequalities
7.1. Solving Systems of Equations by Graphing
Solving Linear Systems by Graphing
7.3. Solving Systems of Equations by Addition
Systems of Linear Equations - Activity B
7.4. Applications of Systems of Equations
Modeling Linear Systems - Activity B
7.5. Graphing Linear Inequalities
Linear Inequalities in Two Variables - Activity A
7.6. Solving Systems of Linear Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
Systems of Linear Inequalities (Standard form)
8. More Equations, Inequalities and Factoring
8.1. Review of Equations and Inequalities
Solving Two-Step Equations
8.2. Solving Absolute Value Equations and Inequalities
Inequalities Involving Absolute Values
8.6. Review of Linear Functions
Slope - Activity A
Slope-Intercept Form of a Line - Activity A
8.7. Variation
Direct and Inverse Variation
9. Radicals and Rational Exponents
9.1. Radical Expressions and Radical Functions
Radical Functions
Fractions with Unlike Denominators
9.4. Simplifying and Combining Radical Expressions
Operations with Radical Expressions
Simplifying Radicals - Activity A
9.5. Multiplying and Dividing Radial Expressions
Simplifying Radicals - Activity A
10. Quadratic Equations, Functions, and Inequalities
10.2. The Quadratic Formula
Roots of a Quadratic
10.3. Quadratic Functions and Their Graphs
Roots of a Quadratic
Quadratic Functions
Quadratics in Polynomial Form - Activity A
Parabolas - Activity A
Quadratics in Vertex Form - Activity A
10.4. Complex Numbers
Roots of a Quadratic
10.5. The Discriminant and Equations That Can Be Written in Quadratic Form
Roots of a Quadratic
10.6. Quadratic and Other Nonlinear Inequalities
Quadratic Inequalities - Activity A
11. Exponential and Logarithmic Functions
11.2. Inverses of Functions
Logarithmic Functions - Activity B
11.3. Exponential Functions
Exponential Functions - Activity A
11.4. Base-e Exponential Functions
Exponential Functions - Activity C
11.5. Logarithmic Functions
Logarithmic Functions - Activity A
11.6. Base-e Logarithms
Logarithmic Functions - Activity A
Logarithmic Functions - Activity B
12. More on Systems of Equations
12.1. Solving Systems with Two Variables
Systems of Linear Equations - Activity B
13. Conic Sections; More Graphing
13.1. The Circle and the Parabola
Circles
Parabolas - Activity A
13.2. The Ellipse
Ellipse - Activity A
13.3. The Hyperbola
Hyperbola - Activity A
13.4. Solving Simultaneous Second-Degree Equations
System of Two Quadratic Inequalities
14. Miscellaneous Topics
14.2. Arithmetic Sequences
Arithmetic Sequences
14.3. Geometric Sequences
Geometric Sequences
14.4. Permutations and Combinations
Permutations and Combinations
14.5. Probability
Probability Simulations