1. An Introduction to Algebra
1.1. Describing Numerical Relationships
Using Tables, Rules and Graphs
1.3. The Real Numbers
Real Number Line - Activity B
1.4. Adding and Subtracting Real Numbers
Adding and Subtracting Integers
1.6. Exponents and Order of Operations
Order of Operations
1.7. Algebraic Expressions
Using Algebraic Expressions
2. Equations, Inequalities, and Problem Solving
2.1. Solving Equations
Modeling One-Step Equations - Activity B
2.4. More about Solving Equations
Modeling One-Step Equations - Activity B
Solving Two-Step Equations
Modeling and Solving Two-Step Equations
2.5. Formulas
Solving Formulas for any Variable
2.7. 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
Linear Functions
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
Points in the Coordinate Plane - Activity B
3.7. Functions
Introduction to Functions
4. Exponents and Polynomials
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 Trinomials of the Form x2 + bx + c
Modeling the Factorization of x2+bx+c
5.3. Factoring Trinomials of the Form ax2 + bx + c
Modeling the Factorization of ax2+bx+c
5.4. Special Factorizations and a Factoring Strategy
Factoring Special Products
Quadratics in Factored Form
5.5. Quadratic Equations
Minimize Perimeter
5.6. The Quadratic Formula
Roots of a Quadratic
6. Rational Expressions and Equations
6.1. Simplifying Rational Expressions
Part:Part and Part:Whole Ratios
6.2. Multiplying and Dividing Rational Expressions
Beam to Moon (Ratios and Proportions)
6.3. Adding and Subtracting Rational Expressions
Estimating Population Size
6.4. Complex Fractions
Proportions and Common Multipliers
6.5. Rational Equations and Problem Solving
Rational Functions
6.6. Proportions and Similar Triangles
Beam to Moon (Ratios and Proportions)
Estimating Population Size
Proportions and Common Multipliers
6.7. Variation
Direct and Inverse Variation
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 Lineaer Inequalities
Systems of Linear Inequalities (Slope-intercept form) - Activity A
System of Two Quadratic Inequalities
8. Roots and Radicals
8.1. Square Roots
Ordering and Approximating Square Roots
Square Roots
8.3. Simplifying Radical Expressions
Simplifying Radicals - Activity A
8.4. Adding and Subtracting Radical Expressions
Operations with Radical Expressions
8.5. Multiplying and Dividing Radical Expressions
Operations with Radical Expressions
8.6. Solving Radical Equations; the Distance Formula
Distance Formula - Activity B
9. Quadratic Equations
9.2. The Quadratic Formula
Roots of a Quadratic
9.3. 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