Algebra I

September and October:  Topic 1: Solving Equations and Inequalities--7 weeks

• • Subsets of a Set

  • Real Numbers

  • Addition of Rational Numbers

  • Subtraction of Rational Numbers

  • Operations on Real Numbers

  • Replacement Set

  • One-Step Equations: Rational Numbers

  • Two-Step Equations

  • One-step Equations: Multiplication and Division

  • Multistep Equations

  • Linear Equations with Variables on Both Sides

  • Changing the Subject of a Formula

  • Multistep Inequalities

  • Compound Linear Inequalities

  • Absolute Value Equations

  • One-Variable Absolute Value Inequalities

November:  Topic 2: Linear Equations Part 1--3 weeks

• • Graphing Linear Functions

  • Equation of a Straight Line: Standard and Point–Slope Forms

  • Equation of a Straight Line: Slope–Intercept Form

  • Linear Functions in Different Forms

  • Equations of Parallel and Perpendicular Lines

December:  Topic 3: Linear Equations Part 2--4 weeks

• • Relations and Functions

  • Function Rules

  • Linear Functions

  • Calculations with Arithmetic Sequences

  • Using Arithmetic Sequence Formulas

  • Scatter Plots and Lines of Best Fit

January :Topic 4: Systems of Linear Equations and Inequalities--4 weeks

• • Solving Systems of Linear Equations Graphically

  • Solving Systems of Linear Equations Using Substitution

  • Solving Systems of Linear Equations Using Elimination

  • Two-Variable Linear Inequalities

  • Solving Systems of Linear Inequalities

February:  Topic 5:  Piecewise Functions--1 week

• • Graphs of Piecewise Functions

February:  Topic 6: Exponents and Exponential Functions--3 weeks

• • Graphs of Exponential Functions

  • Exponential Functions

  • Compound Interest

  • Exponential Growth and Decay Models

  • Exponential Growth and Decay

  • Introduction to Sequences

  • Finding the nth Term of a Geometric Sequence

March:  Topic 7:  Polynomials and Factoring--5 weeks

• • Degree and Coefficient of Polynomials

  • Simplifying Expressions: Combining Like Terms

  • Multiplying Binomials

  • Squaring Binomials

  • Expanding an Expression to a Difference of Two Squares

  • Factorization Using the Highest Common Factor

  • Factoring Monic Quadratics

  • Difference of Two Squares

  • Factoring by Grouping

  • Factoring Perfect-Square Trinomials

April:  Topic 8: Quadratic Functions--5 weeks

• • Key Features of Quadratic Functions

  • Quadratic Functions in Vertex Form

  • Quadratic Functions in Standard Form

  • Modeling with Quadratic Functions

  • Modeling in 3 Acts

  • Linear, Exponential, and Quadratic Models

May:  Topic 9: Solving Quadratic Equations--2weeks

• • Solving Quadratic Equations Graphically

  • Factoring Nonmonic Quadratics

  • Completing the Square

  • Solving Quadratics: Completing the Square‎

  • Solving Quadratic Equations: Quadratic Formula

  • Discriminants of Quadratics

  • Solving Systems of Quadratic Equations

May:  Topic 10: Working with Functions--2 weeks

• • Domain and Range from Function Graphs

  • Extrema of a Function Graph

  • Symmetry of Graphs and Functions

  • Function Transformations: Dilation

  • Graphs of Inverses of Functions

  • Inverse of a Function

June:  Topic 11: Statistics--2 weeks

• • Comparing Data

  • Sample and Population Standard Deviation