Algebra 1 Concepts and Skills


Are you confused about what is taught in an Algebra 1 curriculum?

This page will give you an idea of the Algebra 1 concepts and skills that are taught and the order in which they are presented.

This is the order in which I like to teach the units; however, not all curriculum is set up exactly the same. So, please use this as a guide, but remember that there are many different Algebra 1 textbooks and curricula and each is set up a little different.


Algebra 1


Introductory Unit: Review of Essential Pre-Algebra Skills

  • Integers and Absolute Value

  • Order of Operations

  • Distributive Property

  • Evaluating Algebraic Expressions

  • Simplifying Algebraic Expressions


    • Unit 1: Solving Equations

  • Solving One-Step Equations

  • Solving Two-Step Equations

  • Solving Equations with the Distributive Property

  • Solving Equations with Fractions

  • Solving Literal Equations

  • Solving Equations With Variables on Both Sides

  • Making Connections with Real World Problems (Word Problems)


    • Unit 2: Graphing Equations

  • Graphing Using a Table of Values

  • Calculating Slope

  • Graphing Slope

  • Using Slope Intercept Form

  • Rate of Change (Includes a lot of word problems)

  • Standard Form Equations and X and Y Intercepts (Includes a lot of word problems)


    • Unit 3: Writing Equations

  • Writing Equations in Slope Intercept Form

  • Writing Equations in Standard Form

  • Writing Equations Given Slope and a Point (Includes word problems)

  • Writing Equations Given Two Points (Includes word problems)


    • Unit 4: Systems of Equations

  • Graphing Systems of Equations

  • Substitution Method

  • Linear Combinations Method (Addition Method)

  • Making Connections with Real World Problems (Word Problems)


    • Unit 5: Inequalities

  • Inequalities in One Variable (Including Word Problems)

  • Graphing Linear Inequalities

  • Systems of Inequalities

  • Making Connections with Real World Problems (Word Problems)


    • Unit 6:Relations and Functions

  • Introduction to Relations and Functions

  • Identifying Functions (Vertical Line Test)

  • Evaluating Functions

  • Linear Functions

  • Quadratic Functions

  • Step and Discontinuous Functions


    • Unit 7:Exponents and Monomials

  • Review of Exponents

  • Laws of Exponents

  • Multiplying and Dividing Monomials

  • Working with Negative and Zero Exponents

  • Scientific Notation


    • Unit 8: Quadratic Equations

  • Square Roots

  • Solving Simple Quadratic Equations

  • Using the Pythagorean Theorem

  • Making Connections with Real World Problems (Word Problems)


    • Unit 9: Introduction to Polynomials

  • Adding and Subtracting Polynomials

  • Multiplying Polynomials

  • Solving Quadratic Equations by Factoring

  • Making Connections with Real World Problems (Word Problems)


    • I teach two other supplemental units as well during the year. One is on Statistics and the other is Probability. I stick these units in when either the students need a "break" or when I don't have enough time to complete a full Unit (i.e. before Winter or Spring Break). These units are necessary because they are heavily tested on state and standardized tests!

    Supplemental Unit: Statistics

  • Measures of Central Tendancy (Mean, Median, and Mode)

  • Stem and Leaf Plots

  • Box and Whisker Plots

  • Time Lines, Circle Graphs


    • Supplemental Unit: Probability

  • Expected Value

  • Independent and Dependent Events

  • Simulations

  • Geometric Probablility


    • Hopefully this gives you an indication of the different Algebra 1 concepts and skills that are typically taught! Just remember, the sequence of units can vary among different textbooks!



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