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7th-Grade Math Assignment

This assignment is strongly aligned to the standards.

Overview

Seventh-grade students solve word problems about price markups and markdowns. This assignment is strong because it requires students to interpret real-world scenarios and solve them mathematically, while allowing students to practice grade-level operations with percents.

Why is this assignment strongly aligned?

Focus
This assignment is well-aligned with seventh-grade standard 7.RP.A.3, which requires students to solve multi-step problems involving ratios and percents in real-world contexts. This assignment includes two word problems about percents related to price markups and markdowns (a real-world example named explicitly in the standard). Problem #1 also involves multiple steps (finding the value of a 25% markdown and a 30% markdown, and calculating how much more was saved at the greater discount).

Rigor
This assignment allows students to engage with two of the three aspects of rigor targeted by standard 7.RP.A.3: application and conceptual understanding. Solving multistep ratio and percent problems in real-world contexts—like calculating price markups and markdowns—builds students’ application skills. Asking whether it is possible to have a percent increase of more than 100%, as problem #2 does, allows students to draw on their conceptual understanding of proportional relationships.

Practice Standards 
This assignment allows students to engage with two mathematical practice standards. Interpreting what the word problems are asking students to do gives students the chance to engage with Mathematical Practice Standard #1 ("Make sense of problems and persevere in solving them"). Explaining whether it is possible to have a percent increase of more than 100% gives students the chance to engage with Mathematical Practice Standard #3 (“Construct viable arguments and critique the reasoning of others”).

This work is licensed under a Creative Commons Attribution Non-Commercial Share-Alike license.

From EngageNY.org of the New York State Education Department. Grade 7 Mathematics Module 4, Topic B, Lesson 7: Markup and Markdown Problems. Internet. Available from https://www.engageny.org/resource/grade-7-mathematics-module-4-topic-b-lesson-7, and derived from Eureka Math as licensed by Great Minds; accessed June 21, 2018.

Additional Math Resources

Common Core State Mathematics Standards
Read the standards and find out what they require of students.
Instructional Shifts in Mathematics
Understand the key instructional shifts the math standards call for.
Student Work Review Tool – Math
Use this tool to understand if an assignment is worthwhile for students.