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Mathematics - Secondary Curriculum Mathematics Grade 7
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Use properties of operations to generate equivalent expressions (Standards 7.EE.1-2). Solve real-life and mathematical problems using numerical and algebraic expressions and equations (Standards 7.EE.3-4).

Standard 7.EE.4

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

  • Chapter 3 - Mathematical Foundation (UMSMP)
    This is Chapter 3 of the Utah Middle School Math: Grade 7 textbook. It provides a Mathematical Foundation for Expressions and Equations I.
  • Chapter 3 - Student Workbook (UMSMP)
    This is Chapter 3 of the Utah Middle School Math: Grade 7 student workbook. It covers Expressions and Equations I.
  • Chapter 6 - Mathematical Foundation (UMSMP)
    This is Chapter 6 of the Utah Middle School Math: Grade 7 textbook. It provides a Mathematical Foundation for Expressions and Equations II - Real-world equations, Inequalities.
  • Chapter 6 - Student Workbook (UMSMP)
    This is Chapter 6 of the Utah Middle School Math: Grade 7 textbook. It focuses on these topics: Real-world equations and Inequalities.
  • Grade 7 Math Module 1:Ratios and Proportional Relationship (EngageNY)
    In this 30-day Grade 7 module, students build upon sixth grade reasoning of ratios and rates to formally define proportional relationships and the constant of proportionality. Students explore multiple representations of proportional relationships by looking at tables, graphs, equations, and verbal descriptions. Students extend their understanding about ratios and proportional relationships to compute unit rates for ratios and rates specified by rational numbers. The module concludes with students applying proportional reasoning to identify scale factor and create a scale drawing.
  • Grade 7 Math Module 2: Rational Numbers (EngageNY)
    In Grade 6, students formed a conceptual understanding of integers through the use of the number line, absolute value, and opposites and extended their understanding to include the ordering and comparing of rational numbers.This module uses the Integer Game: a card game that creates a conceptual understanding of integer operations and serves as a powerful mental model students can rely on during the module. Students build on their understanding of rational numbers to add, subtract, multiply, and divide signed numbers. Previous work in computing the sums, differences, products, and quotients of fractions serves as a significant foundation.
  • Grade 7 Math Module 3: Expressions and Equations (EngageNY)
    This module consolidates and expands upon students understanding of equivalent expressions as they apply the properties of operations to write expressions in both standard form and in factored form. They use linear equations to solve unknown angle problems and other problems presented within context to understand that solving algebraic equations is all about the numbers. Students use the number line to understand the properties of inequality and recognize when to preserve the inequality and when to reverse the inequality when solving problems leading to inequalities. They interpret solutions within the context of problems. Students extend their sixth-grade study of geometric figures and the relationships between them as they apply their work with expressions and equations to solve problems involving area of a circle and composite area in the plane, as well as volume and surface area of right prisms.
  • Grade 7 Unit 2: Expressions and Equations (Georgia Standards)
    The units in this instructional framework emphasize key standards that assist students to develop a deeper understanding of numbers. They learn how to solve multi- step equations and discuss the difference between equations and expressions. The Big Ideas that are expressed in this unit are integrated with such routine topics as estimation, mental and basic computation. All of these concepts need to be reviewed throughout the year.
  • Solving Equations video
    Answers the questions "what are equations?" and "how do we solve them?"
  • Solving Linear Equations with Negative Numbers
    This video is designed for students to learn a strategy to solve a linear equation that has a negative number as a solution. The classroom activity builds on this knowledge by requiring them to use the strategy to solve a series of equations with both positive and negative coefficients and solutions. NOTE: You have to create a Free PBS Account to view this web page, but it is easy to do and worth the effort.
  • The Number System (7.NS) - 7th Grade Core Guide
    The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Mathematics Grade 7 - The Number System
  • Writing and Using Inequalities video
    This video introduces and explains the topic.

UEN logo - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Lindsey  Henderson and see the Mathematics - Secondary website. For general questions about Utah's Core Standards contact the Director - Jennifer  Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.