Illustrative Mathematics
Illustrative Mathematics: 7.ee Miles to Kilometers
In this lesson, 7th graders write algebraic expressions and determine if they have the same answer.
Illustrative Mathematics
Illustrative Mathematics: 6.ee Triangular Tables
This task provides a good opportunity for group work and class discussions where students generate and compare equivalent expressions. In class discussion, students should be asked to connect the terms of an expression with quantities...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Equivalent Expressions
In this problem, we have to transform expressions using the distributive, commutative and associative properties to decide which expressions are equivalent. Common mistakes are addressed, such as not distributing the 2 correctly. Aligns...
Illustrative Mathematics
Illustrative Mathematics: 6.ee Distance to School
This task asks students to find equivalent expressions by visualizing a familiar activity involving distance. The given solution shows some possible equivalent expressions, but there are many variations possible. Aligns with 6.EE.A.2.
Illustrative Mathematics
Illustrative Mathematics: Seeing Is Believing
The purpose of this task is to help students see that 4x(9+2) is four times as big as (9+2). Though this task may seem very simple, it provides students and teachers with a very useful visual for interpreting an expression without...
Khan Academy
Khan Academy: Equivalent Expressions With Negative Numbers
Practice identifying equivalent expressions involving the addition and subtraction of negative numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Algebra Word Problems Translated
Find a quick, concise explanation of how to take the words from problems and substitute variables, operations and numbers to create an equivalent expression. Examples are given and clearly explained.
Annenberg Foundation
Annenberg Learner: Equivalent Expressions
Determine if nine mathematical expressions are equivalent to 20. Then match the equivalent expressions to corresponding word problems.
National Council of Teachers of Mathematics
Nctm: Illuminations: Pan Balance
A pan balance helps students visualize what value for x will make two expressions equivalent. The computer applet graphs the lines and shows the intersection point.
Utah Education Network
Uen: Equivalent Expressions
This multi-segment lesson plan uses games and calculators to explore the concept of equivalent expressions. Students work together using inverse operations to isolate variables in algebraic equations. It also provides attachments for...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Skill in Algebra: Algebraic Fractions
Explains how to find a common denominator between two rational expressions and how to reduce a fraction that involves factoring. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Khan Academy
Khan Academy: Distributive Property With Variables (Negative Numbers)
In this exercise, students practice applying the distributive property to create an equivalent expression. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Illustrative Mathematics
Illustrative Mathematics: 7.ee Equivalent Expressions
A performance task asking middle schoolers to determine if two equations show an equivalent expression.
Illustrative Mathematics
Illustrative Mathematics: Counting Dots in Arrays
This task aims to show students that there is often more than one way to represent a quantity. This lesson also lays a foundation for students to understand the commutative property of multiplication.
Illustrative Mathematics
Illustrative Mathematics: A sse.a.2: Equivalent Expressions
This problem expects students to choose an operation in response to a question about structure. A-SSE.A.2.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3: Ice Cream
This task illustrates the process of rearranging the terms of an expression to reveal different aspects about the quantity it represents. Aligns with A-SSE.B.3.
Illustrative Mathematics
Illustrative Mathematics: A sse.b.3.c Forms of Exponential Expressions
This task can be used for assessment, practice or even to motivate students via an in-class discussion of why it is useful to rewrite exponential expressions in equivalent forms. Aligns with A-SSE.B.3.c.
Khan Academy
Khan Academy: Equivalent Expressions With Negative Numbers and Variables
Practice equivalent expressions with negative numbers and variables.
Khan Academy
Khan Academy: Equivalent Expressions
Practice determining whether or not two algebraic expressions are equivalent by manipulating the expressions. These problems require you to combine like terms and apply the distributive property. Students receive immediate feedback and...
Khan Academy
Khan Academy: Evaluate Expressions Using Structure
Given some information about several unknown variables, rewrite and simplify the structure of an expression containing those variables. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Khan Academy
Khan Academy: Manipulate Expressions Using Structure
Rewrite an expression containing two unknown variables by choosing a given equation that is equivalent. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Equivalent Expressions With Negative Numbers Multiply and Divide
Practice problems with equivalent expressions with negative numbers in multiplication and division.
Khan Academy
Khan Academy: Intro to Associative Property of Multiplication
An introduction to the associative property of multiplication. Includes examples and practice problems throughout, along with explanations of solutions.
Common Core Sheets
Common Core Sheets: Expressions & Equations 7.ee.2 Worksheets
Print or create worksheets or flashcards to assess students' understanding of percent word problems as decimal expressions.