Teacher Created Materials
Working With Algebraic Expressions
First, middle school mathematicians read phrases and translate them into a variable expression. Then, they make statements that explain expressions. On a second page, they combine variables to simplify expressions, and then they...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
West Contra Costa Unified School District
Square and Square Roots
Root for your pupils to learn about roots. Young mathematicians first review the meaning of squares and square roots. They then use this knowledge to simplify square roots of monomials with variables.
EngageNY
Solving a Linear Equation
Solving an equation is the art of creating simpler equivalent equations using properties of equality. Here, classes see that solving an equation is not always as easy as guessing. The lesson presents linear equations that scholars must...
EngageNY
Writing Equations Using Symbols
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...
EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Curated OER
Evaluating Expressions Using Tiles
Sixth graders are shown a variety of algebraic equations. In groups, they use tiles to represent each expression in the equations. To end the lesson, they solve story problems with one and two unknown variables. Individuals share their...
EngageNY
An Application of Linear Equations
Just how far will the Facebook post go? Lead a discussion on how to manipulate the sum of a geometric series to figure out a formula to find the sum at any step. The plan contains an alternative to the discussion with more...
EngageNY
Multiplying and Factoring Polynomial Expressions (part 2)
If you can multiply binomials, you can factor trinomials! This is the premise for a instructional activity on factoring. Pupils look for patterns in the binomials they multiply and apply them in reverse. Examples include leading...
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
Curated OER
Two-Step Equations
Sixth graders work through a two-step equation with their teacher. After reviewing one-step equations, they complete a worksheet using tiles and colored pencils to complete two-step equations. To end the lesson, they write out the step...
Utah Education Network (UEN)
Linear Relationships: Tables, Equations, and Graphs
Pupils explore the concept of linear relationships. They discuss real-world examples of independent and dependent relationships. In addition, they use tables, graphs, and equations to represent linear relationships. They also use ordered...
Curated OER
Evaluating Expressions
In this expression worksheet, students substitute values for given variables and then simplify the equation. This one-page worksheet contains ten problems, with answers.
Alabama Learning Exchange
Color This Polynomial Simplified
Help learners use a variety of methods to identify, visualize, and simplify polynomials with like terms. Several different visuals are used to introduce the instructional activity, such as colored pencils, overheads, interactive white...
Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
Curated OER
Chairs Around the Table
Youngsters become flexible problem solvers with this challenging lesson. If there are 24 square tables in a restaurant, how many customers can be seated at one time? They can use manipulatives or draw pictures to help them find the...
Kent State University
How Does that Work?
Sixth and seventh graders explore algebra word problems. They work with a partner to solve word problems distributed by e-mail. Learners simplify mathematical expressions following a "think aloud" algebra strategy modeled by the teacher....
Virginia Department of Education
Partial Pressure
At some point, everyone has been under pressure—even Dalton! Explore Dalton's law of partial pressures with young chemists as they measure the volume of air extracted from a sample compared to its original volume. Class...
Utah Education Network (UEN)
Solving Single-Variable Equations Part II
Brainiacs explore the concept of solving single-variable equations.They use inverse operations to solve equations, and participate in activities such as balancing an equation scale. This is an awesome lesson, complete with game...
Curated OER
Simple Inequalities
Students solve inequalities. In this inequalities instructional activity, students evaluate simple inequalities. They examine vocabulary words. Students participate in breath holding activities and write inequalities to represent the...
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a...
Virginia Department of Education
Cover Up Problems
Don't cover up this resource — use it out in the open! Pupils learn how to cover up various parts of a linear equation in order to help solve the equation. A worksheet of problems provides practice with this skill.
Curated OER
Increasing or Decreasing? Variation 1
Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...
Willow Tree
Multiplying and Dividing Monomials
Apply the power of mathematics to the power expressions. The lesson gives examples of expressions that utilize each of the exponent rules to simplify. Once seeing the exponent rules individually, scholars combine them to simplify an...