7th grade Math Guide

Expressions and Equations

Core Guide

Grade 7

Related Standards: Current Course Support for Teachers Critical Background Knowledge • Solve real world problems assessing reasonableness of answers using mental computation (3.OA.8, 4.OA.3, 5.NF.2, and 5.NF.6) • Solve real world and mathematical problems involving the four operations with rational numbers (7.NS.3) • Convert between common fractions, decimals, and percent: Use decimal notation for fractions with denominators of 10 or 100 (4.NF.6); convert a rational number to a decimal (7.NS.2d); find a percent of a quantity (6.RP.3c) Academic Vocabulary • Estimate, rational number, reasonableness, solution Resources: Curriculum Resources: http://www.uen.org/core/core.do?courseNum=5170#71314 Solve real-life and mathematical problems using numerical and algebraic expressions and equations (7.EE.3-4) Standard 7.EE.3: Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form, convert between forms as appropriate, and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation. Concepts and Skills to Master • Solve multi-step real-life and mathematical problems involving calculations with rational numbers in any form. • Utilize various forms of rational numbers to solve and make sense of problems. • Choose between forms of a rational number to simplify calculations or communicate solutions meaningfully. • Assess the reasonableness of answers using mental computation and estimation. Related Standards: Future Courses 7.NS.2d, 7.NS.3 8.EE.3, 8.EE.4

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7.EE.1