Algebra 1 Curriculum Map

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Algebra 1 Curriculum Map

Unit 1 – Foundations of Algebra

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

 Unit 2 – Solving Equations

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

 Unit 3 – Solving Inequalities

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

 Unit 4 – An Introduction to Functions

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

 Unit 5 – Linear Functions

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

 Unit 6 – Systems of Equations and Inequalities

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

 Unit 7 – Exponents and Exponential Functions

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

Unit 8 – Polynomials and Factoring

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

Unit 9 – Quadratic Functions and Equations

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

Unit 10 – Radical Expressions and Equations

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

Unit 11 – Rational Expressions and Functions

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

Unit 12 – Data Analysis and Probability

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

Algebra 1 Curriculum

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