Making Algebra easier for you!

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**

- Adding and Subtracting 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
- Solving Simple Quadratic Equations
- 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!

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