**Algebra I Course Syllabus**

Syllabus is based on 36 weeks of instruction.

Standards are taken from Common Core State Standards.

**EXPRESSIONS, EQUATIONS, AND FUNCTIONS**

**WEEK 1: **Variables and Expressions (CCSS 7, 8), Order of Operations, Properties of Numbers (CCSS 7, 8).

**WEEK 2: ** The Distributive Property (CCSS 7, 8), Equations (CCSS 12, 17).

**WEEK 3: **Relations (CCSS 22, 25), Functions (CCSS 25, 26), Interpreting Graphs of Functions (CCSS 28).

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**LINEAR EQUATIONS**

**WEEK 4: **Writing Equations (CCSS 12) , Solving One-Step Equations (CCSS 16, 17), Solving Multi-Step Equations (CCSS 16, 17).

** WEEK 5: **Solving Equations with the Variable on Each Side (CCSS 16, 17), Solving Equations Involving Absolute Value (CCSS 16, 17), Ratios and Proportions (CCSS 16, 17).

**WEEK 6: **Percent of Change (CCSS 4, 17), Literal Equations and Dimensional Analysis (CCSS 15, 17), Weighted Averages (CCSS 16, 17).

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**LINEAR FUNCTIONS**

**WEEK 7: **Graphing Linear Equations (CCSS 28, 31), Solving Linear Equations by Graphing (CCSS 22, 31).

**WEEK 8: **Rate of Change and Slope (CCSS 30, 37), Direct Variation (CCSS 22, 31).

**WEEK 9: **Arithmetic Sequences as Linear Functions (CCSS 35, 38), Proportional and Nonproportional Relationships (CCSS 37, 38).

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**EQUATIONS OF LINEAR FUNCTIONS**

**WEEK 10: **Graphing Equations in Slope-Intercept Form (CCSS 31, 46), Writing Equations in Slope-Intercept Form (CCSS 34, 38), Writing Equations in Point-Slope Form (CCSS 26, 38).

**WEEK 11: **Parallel and Perpendicular Lines (CCSS 38, 46), Scatter Plots and Lines of Fit (CCSS 45).

**WEEK 12: **Regression and Median-Fit Lines (CCSS 45), Inverse Linear Functions (CCSS 13).

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**LINEAR INEQUALITIES**

**WEEK 13: **Solving Inequalities by Addition and Subtraction (CCSS 12, 17), Solving Inequalities by Multiplication and Division (CCSS 12, 17).

**WEEK 14: **Solving Multi-Step Inequalities (CCSS 12, 17), Solving Compound Inequalities (CCSS 12, 17).

**WEEK 15: **Inequalities Involving Absolute Value (CCSS 12, 17), Graphing Inequalities in Two Variables (CCSS 14, 24).

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**SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES**

**WEEK 16: **Graphing Systems of Equations (CCSS 14, 20), Substitution (CCSS 14, 20).

**WEEK 17: **Elimination Using Addition and Subtraction (CCSS 13, 20), Elimination Using Multiplication (CCSS 19, 20).

**WEEK 18: **Applying Systems of Linear Equations (CCSS 20), Systems of Inequalities (CCSS 24).

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**EXPONENTS AND EXPONENTIONAL FUNCTIONS**

**WEEK 19: **Multiplication Properties of Exponents (CCSS 8, 32), Division Properties of Exponents (CCSS 8, 32), Rational Exponents (CCSS 2).

**WEEK 20: **Scientific Notation (CCSS 8), Exponential Functions (CCSS 9, 38).

**WEEK 21: **Growth and Decay (CCSS 35, 37), Recursive Formulas (CCSS 27, 35).

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**QUADRATIC EXPRESSIONS AND EQUATIONS**

**WEEK 22: **Adding and Subtracting Polynomials (CCSS 7, 10), Multiplying a Polynomial by a Monomial (CCSS 10), Multiplying Polynomials (CCSS 10).

**WEEK 23: **Special Products (CCSS 10), Using the Distributive Property, Solving x^{2} + bx + c = 0 (CCSS 18).

**WEEK 24: **Solving ax^{2} + bx + c = 0 (CCSS 18), Differences of Squares (CCSS 18), Perfect Squares (CCSS 16).

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**QUADRATIC FUNCTIONS AND EQUATIONS**

**WEEK 25: **Graphing Quadratic Functions (CCSS 28, 31), Solving Quadratic Equations by Graphing (CCSS 18, 31), Transformations of Quadratic Functions.

**WEEK 26: **Solving Quadratic Equations by Completing the Square (CCSS 18), Solving Quadratic Equations by Using the Quadratic Formula (CCSS 18).

**WEEK 27: **Analyzing Functions with Successive Differences (CCSS 30, 37), Special Functions (CCSS 28, 31).

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**RADICAL FUNCTIONS AND GEOMETRY**

**WEEK 28: **Square Root Functions(CCSS 28, 31), Simplifying Radical Expressions (CCSS 18).

**WEEK 29: **Operations with Radical Expressions (CCSS 2), Radical Equations (CCSS 2, 13).

**WEEK 30: **The Pythagorean Theorem, Trigonometric Ratios.

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**RATIONAL FUNCTIONS AND EQUATIONS**

**WEEK 31: **Inverse Variation, Rational Functions (CCSS 13), Simplifying Rational Expressions.

**WEEK 32: **Multiplying and Dividing Rational Expressions, Dividing Polynomials, Adding and Subtracting Rational Expressions.

**WEEK 33:** Mixed Expressions and Complex Fractions, Rational Equations (CCSS 13).

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**STATISTICS AND PROBABILITY**

**WEEK 34: **Samples and Studies, Statistics and Parameters (CCSS 42), Distribution of Data (CCSS 42, 43).

**WEEK 35: **Comparing Sets of Data (CCSS 42), Simulation, Permutations and Combinations.

**WEEK 36: **Probability of Compound Events, Probability Distributions.