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 Solving Equations by Working Backwards (Grade 7)
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Solving Equations by Working Backwards (Grade 7)

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Digital Product
Download size: 439.50 MB
Item #: 1412DB

Minimum Requirements: Adobe Reader 9.x or later View Details

© AIMS Education Foundation. A single copy of this curriculum may be used by one teacher in his or her own classroom. Please purchase one copy for each teacher. More info.


Grade 7: Expressions 6-day unit 104 pages

Solving how to find a pirates treasure, figuring out how to perform a number trick, or determining the length of a leap from a jumping trail, all provide opportunities to develop students understand of how to solve equations. Students develop the concept of inverse operations and how to apply them in a variety of settings. A deep understanding of solving equations grows through meaningful experiences and intelligent practice.


The free sample below contains the table of contents, and a free activity from this book.

Working Backwards-Welcome

Working Backwards-Intro


Solving Equations by Working Backwards is one of the AIMS Essential Math Series units for grade 7 that addresses a critical area of the Common Core State Standards for Mathematics. The material is presented to students in the form of videos, comic strips, on online game, and written activities. The book (which includes a CD) focuses on three big ideas and eight lessons.

The first idea describes combining like terms and applying the commutative and distributive properties. Students learn this concept by working on a loading dock and getting materials ready for shipment.

Students consider the x in the equation as the location of the pirate’s treasure. By undoing each event using inverse operations, students discover the value of the variable. The videos are fun to watch, and students enjoy taking on the role of a pirate while determining where x is located. A challenging online game allows students to practice an undoing process.

The final big idea walks students through acting out of visualizing problems to translate the problem into an equation. Students learn how to perform a number trick, use jumping problems to help visualize a situation, and make drawing to help make sense of a problem.

My students and I enjoyed using these materials, The activities took abstract concepts such as the distributive property and x and presented them in a concrete manner that was effective for all my students.

-Leslie K Ercole
Newark Street School
Newark, Vermont


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