Lesson Plan
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Illustrative Mathematics

The Intersection of Two Lines

For Teachers 7th - 9th Standards
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
Unit Plan
EngageNY

Relationships Between Quantities and Reasoning with Equations and Their Graphs

For Teachers 6th - 10th Standards
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Worksheet
Curated OER

One Variable Word Problems

For Students 6th - 8th
Here is a one-variable word problems worksheet in which learners complete word problems dealing with all four operations and one variable. They complete a total of 18 problems.
Lesson Plan
Curated OER

Solving One-Step Equations

For Teachers 4th - 6th
Students practice solving one-step equations. In this one-step equation lesson, students examine the proper use of order of operations when solving for one variable and show that they are able to use inverse operations to solve problems....
Worksheet
Curated OER

Solving Systems of Equations in Three Variables

For Students 11th
In this systems of equations worksheet, 11th graders solve and complete 10 different sets of problems that include three variables. First, they simplify each equation and put them in standard form. Then, students choose to eliminate any...
Lesson Plan
Alabama Learning Exchange

Can You Solve the Mystery of the Variable?

For Teachers 9th - 12th Standards
Solving a murder is like isolating a variable. Using a video on a murder mystery, the narrator introduces the idea of solving a literal equation for one variable. After solving several equations, the class comes up with a set of...
Worksheet
Curated OER

Solving One-Step Equations 2

For Students 8th - 10th
In this one-step equation worksheet, students solve simple algebraic equations with one variable. This four-page worksheet contains 36 problems. Answers are provided on the last two pages of the worksheet.
Lesson Plan
EngageNY

Writing Equations Using Symbols

For Teachers 8th Standards
Build upon prior equation writing experience to create more complicated equations. Lesson one in a 33-part unit builds upon the class members' sixth and seventh grade experience of writing linear equations. Several examples...
Worksheet
Curated OER

Linear Inequalities in Two Variables

For Students 9th - 12th Standards
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Lesson Plan
Curated OER

Two-Variable Linear Inequalities

For Teachers 9th - 11th
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Unit Plan
Mathematics Vision Project

Equations and Inequalities

For Teachers 9th - 10th Standards
Help learners get their facts in line to build and solve complicated linear equations and inequalities. Pupils build upon their knowledge of solving basic equations and inequalities to solve more complex ones. Individuals work with...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 2

For Students 8th - 10th Standards
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
Lesson Plan
EngageNY

The Graph of a Linear Equation—Horizontal and Vertical Lines

For Teachers 8th Standards
Graph linear equations in standard form with one coefficient equal to zero. The lesson plan reviews graphing lines in standard form and moves to having y-coefficient zero. Pupils determine the orientation of the line and, through a...
Worksheet
Curated OER

Equations with one Variable II

For Students 9th - 12th
In this single variable equations worksheet, students solve 5 problems using different equations to solve for one unknown. They use Hubble's Law to find the velocity of a galaxy knowing the distance it travels.
Lesson Plan
Illustrative Mathematics

Chocolate Bar Sales

For Teachers 5th - 7th Standards
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Lesson Plan
EngageNY

One-Step Equations—Addition and Subtraction

For Teachers 6th Standards
Just one step is all you need to find success in solving equations. The 27th installment in a series of 36 teaches how to solve one-step equations involving addition and subtraction. Tape diagrams help future mathematicians in this task.
Lesson Plan
Curated OER

Systems of Equations in Two Variables

For Teachers 8th - 9th
In this algebra worksheet, students work with pairs of linear equations. Three problems ask students to determine if the given ordered pair is a solution of the system of equations. Students graph two systems to determine the solution.
Unit Plan
Mathematics Vision Project

Module 1: Getting Ready Module

For Teachers 6th - 10th Standards
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
Lesson Plan
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1
EngageNY

Systems of Equations

For Students 10th - 12th Standards
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 
PPT
BW Walch

Solving Exponential Equations

For Teachers 9th - 10th Standards
Introducing exponential equations means learners need to take all the rules and tricks they learned for exponents and actually apply them. This presentation comes to the rescue by touching on changing bases in exponential...
Interactive
CK-12 Foundation

Linear Systems with Addition and Subtraction: Fill in the Boxes 1

For Students 8th - 10th Standards
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
Worksheet
Curated OER

Solving Linear Equations

For Students 8th - 9th
In this linear equations worksheet, students solve and complete 20 different problems that include using the order of operations. First, they distribute to remove the parentheses and combine like terms. Then, students move variables and...
Assessment
Mathed Up!

Solving Equations

For Students 6th - 9th Standards
Use the same procedures, just with rational numbers. The resource builds upon scholars' ability to solve linear equations that involve rational numbers. Pupils solve one-step, two-step and multi-step equations in the review for the...