Algebra I

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).

 

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).

 

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).

 

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).

 

 

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).

 

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).

 

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).

 

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 x2 + bx + c = 0 (CCSS 18).

WEEK 24: Solving ax2 + bx + c = 0 (CCSS 18), Differences of Squares (CCSS 18), Perfect Squares (CCSS 16).

 

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).

 

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.

 

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).

 

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.