Álgebra 1

Know the number system and read the structure of an expression.

1. The Real Number System
2. Rational and Irrational Sums and Products
3. Evaluating Expressions with Negatives and Powers
4. Terms, Factors and Coefficients
5. Units and Conversion Factors

Solve equations with fractions, literal equations and absolute values, and explain every step.

1. Why Each Step Keeps the Balance
2. Clearing Fractions and Decimals
3. Writing Equations from Words
4. Distance, Rate and Time Problems
5. Solving for a Variable
6. Absolute Value Equations

Solve and graph inequalities, including compound and absolute value inequalities.

1. Multi-Step Inequalities
2. Inequality Word Problems
3. Compound Inequalities
4. Absolute Value Inequalities

Use function notation, read graphs, and describe how outputs change.

1. Function Notation
2. Finding Inputs from Outputs
3. Domain and Range
4. Intercepts, Increasing and Decreasing
5. Average Rate of Change
6. Sequences as Functions
7. Arithmetic Sequences
8. Piecewise Functions
9. Graphs of Absolute Value Functions
10. Step Functions
11. Shifting and Stretching Graphs

Write and use every form of a line, and model with linear functions.

1. A Graph Shows Every Solution
2. Point-Slope Form
3. Line Through Two Points
4. Standard Form and Intercepts
5. Horizontal and Vertical Lines
6. Parallel and Perpendicular Lines
7. Linear Models in Context
8. Inverse of a Linear Function
9. Linear Inequalities in Two Variables

Solve systems by elimination, model with them, and solve systems of inequalities.

1. Elimination
2. Elimination with Multiplying First
3. Systems Word Problems
4. Systems of Linear Inequalities

Extend exponents to fractions and work with square roots.

1. Fractional Exponents
2. Rules with Fractional Exponents
3. Simplifying Square Roots
4. Adding and Multiplying Radicals

Model growth and decay that multiplies by the same factor each step.

1. Exponential Functions
2. Linear vs Exponential Change
3. Geometric Sequences
4. Growth and Decay Rates
5. Writing Exponential Models
6. Rewriting Exponential Expressions

Add, subtract and multiply polynomials.

1. Polynomials: Degree and Standard Form
2. Adding and Subtracting Polynomials
3. Multiplying by a Monomial
4. Multiplying Binomials
5. Special Products
6. Multiplying Longer Polynomials

Undo multiplication to write polynomials as products.

1. Factoring Out the GCF
2. Factoring x² + bx + c
3. Factoring ax² + bx + c
4. Factoring Special Products
5. Factoring by Grouping
6. Factoring Completely

Graph parabolas and solve quadratic equations four ways.

1. Graphs of Quadratic Functions
2. Vertex Form
3. Solving by Factoring
4. Zeros and Factored Form
5. Solving by Square Roots
6. Completing the Square
7. The Quadratic Formula
8. The Discriminant
9. Quadratic Models
10. Line and Parabola Systems
11. Solving f(x) = g(x) with Graphs
12. Comparing Linear, Quadratic and Exponential Models

Summarize two-variable data and judge what it does and does not show.

1. Two-Way Tables and Relative Frequency
2. Lines of Fit and Residuals
3. Correlation and Causation