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Illustrative Mathematics
Triangular Tables
Somewhat of a puzzle, this problem gets pre-algebra preteens to write an expression representing a seating chart using triangle-shaped tables. This single task is an applicable lesson for meeting sixth grade Common Core math standards....
Inside Mathematics
How Old Are They?
Here is a (great) lesson on using parentheses! The task requires the expression of ages using algebraic expressions, including the distributive property. Pupils use their expressions to determine the individual ages.
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.
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....
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...
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...
Curated OER
FOIL Method Worksheet
In this FOIL method worksheet, students with the "FOIL" method to solve equations with one to two variables. They may enter their answer on the internet worksheet, and view step-by-step hints to solve the problems. Twenty binomial...
Curated OER
Sum of Products and Product of Sums Expression
In this electrical circuit worksheet, students answer a series of 21 questions about sum of product and product of sum, and Boolean expression for a logic circuit. They design and build a circuit board using PC-board relays to show...
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
Formulae
Learners complete a 24 page unit. They solve expressions by plugging in values, and translate words into algebraic equations. Included are: mixed operations, square roots, exponents and negative numbers. This resource provides a good...
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...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
5280 Math
Integer Interpreter
Can you add variables if you don't know their value? Using an empty number line, scholars first locate the position of the difference, sum, product, and quotient of two unknown integers. Later problems mix operations as well as add...
Curated OER
Graphing Inequalities
In this graphing inequalities worksheet, students create graphs of algebraic expressions containing inequalities. This two-page worksheet contains explanations and examples prior to the exercise. The first page is a contains...
BW Walch
Linear & Exponential Functions
Positioned inside the framework of linear and exponential functions, this lesson is more of an investigation into the effects of changing variables and constants inside an expression. The author takes familiar formulas, those for...
Curated OER
Variables, Formulas, Functions, Graphs and Linear Approximations
In this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.
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...
Inside Mathematics
Magic Squares
Prompt scholars to complete a magic square using only variables. Then they can attempt to solve a numerical magic square using algebra.
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
Houghton Mifflin Harcourt
Unit 1 Math Vocabulary Cards (Grade 5)
Associative property of addition, exponents, and variables are a few of the terms that a set of flash cards includes and are designed to support math vocabulary instruction. Cards offer a a bold-faced font as well as a thorough...
Virginia Department of Education
Give or Take a Few
Young mathematicians extend their knowledge of rational numbers on a number line to graph inequalities by first using number cards to compare rational numbers. They finish by using similar reasoning to graph inequalities on a number line.
Charleston School District
Solving Equations with the Distributive Property
Now there are parentheses in these equations? As the lessons continue in this series, equations get progressively more complex. Eighth graders solve equations by applying the distributive property before using inverse operations.
Math Solutions
Dr. Seuss Comes to Middle School Math Class
If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts...