# 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.

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
• Exponential Functions
• Exponential Growth
• Exponential Decay
• 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: Introduction to Polynomials

• Multiplying Polynomials
• Factoring by Using the GCF
• Factoring by Grouping
• Factoring Trinomials with a Coefficient of 1
• Factoring Trinomials with a Coefficient Greater Than 1

• Square Roots
• Using the Pythagorean Theorem
• Solving Quadratic Equations by Graphing
• Solving by Factoring
• Solving By Completing the Square
• Solving by Using the Quadratic Formula
• Solving Real World Problems (Applications)

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! 