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Algebra 1 Curriculum Map

Unit 1 – Foundations of Algebra

1-1	Variables and Expressions
1-2	Order of Operations and Evaluating Expressions
1-3	Real Numbers and the Number Line
1-4	Properties of Real Numbers
1-5	Adding and Subtracting Real Numbers
1-6	Multiplying and Dividing Real Numbers
1-7	The Distributive Property
1-8	An Introduction to Equations
1-9	Patterns, Equations, and Graphs

Unit 2 – Solving Equations

2-1	Solving One-Step Equations
2-2	Solving Two-Step Equations
2-3	Solving Multi-Step Equations
2-4	Solving Equations with Variables on Both Sides
2-5	Literal Equations and Formulas
2-6	Ratios, Rates, and Conversions
2-7	Solving Proportions
2-8	Proportions and Similar Figures
2-9	Percentages
2-10	Change Expressed as a Percent

Unit 3 – Solving Inequalities

3-1	Inequalities and Their Graphs
3-2	Solving Inequalities Using Addition and Subtraction
3-3	Solving Inequalities Using Multiplication or Division
3-4	Solving Multi-Step Inequalities
3-5	Working with Wets
3-6	Compound Inequalities
3-7	Absolute Value Equations and Inequalities
3-8	Union and Intersection of Sets

Unit 4 – An Introduction to Functions

4-1	Using Graphs to Relate Two Quantities
4-2	Patterns and Linear Functions
4-3	Patterns and Nonlinear Functions
4-4	Graphing a Function Rule
4-5	Writing a Function Rule
4-6	Formalizing Relations and Functions
4-7	Arithmetic Sequences

Unit 5 – Linear Functions

5-1	Rate of Change and Slope
5-2	Direct Variation
5-3	Slope-Intercept Form
5-4	Point-Slope Form
5-5	Standard Form
5-6	Parallel and Perpendicular Lines
5-7	Scatter Plots and Trend Lines
5-8	Graphing Absolute Value Functions

Unit 6 – Systems of Equations and Inequalities

6-1	Solving Systems by Graphing
6-2	Solving Systems Using Substitution
6-3	Solving Systems Using Elimination
6-4	Applications of Linear Systems
6-5	Linear Inequalities
6-6	Systems of Linear Inequalities

Unit 7 – Exponents and Exponential Functions

7-1	Zero and Negative Exponents
7-2	Multiplying Powers with the Same Base
7-3	More Multiplication Properties of Exponents
7-4	Division Properties of Exponents
7-5	Rational Exponents and Radicals
7-6	Exponential Functions
7-7	Exponential Growth and Decay

Unit 8 – Polynomials and Factoring


8-1	Adding and Subtracting Polynomials
8-2	Multiplying and Factoring
8-3	Multiplying Binomials
8-4	Multiplying Special Cases
8-5	Factoring x^2 + bx + c
8-6	Factoring ax^2 + bx + c
8-7	Factoring Special Cases
8-8	Factoring by Grouping

Unit 9 – Quadratic Functions and Equations

9-1	Quadratic Graphs and Their Properties
9-2	Quadratic Functions
9-3	Solving Quadratic Equations
9-4	Factoring to Solve Quadratic Equations
9-5	Completing the Square
9-6	The Quadratic Formula and the Discriminant
9-7	Linear, Quadratic, and Exponential Models
9-8	Systems of Linear and Quadratic Equations

Unit 10 – Radical Expressions and Equations

10-1	Pythagorean Theorem
10-2	Simplifying Radicals
10-3	Operations with Radical Expressions
10-4	Solving Radical Equations
10-5	Graphing Square Root Functions
10-6	Trigonometric Ratios

Unit 11 – Rational Expressions and Functions

11-1	Simplifying Rational Expressions
11-2	Multiplying and Dividing Rational Expressions
11-3	Dividing Polynomials
11-4	Adding and Subtracting Rational Expressions
11-5	Solving Rational Expressions
11-6	Inverse Variation
11-7	Graphing Rational Functions

Unit 12 – Data Analysis and Probability

12-1	Organizing Data Using Matrices
12-2	Frequency and Histograms
12-3	Measures of Central Tendency and Dispersion
12-4	Box-and-Whisker Plots
12-5	Samples and Surveys
12-6	Permutations and Combinations
12-7	Theoretical and Experimental Probability
12-8	Probability of Compound Events