The problem-solving material in Topic D provides students with further applications of percent and exposure to problems involving population, mixtures, and counting, in preparation for later topics in middle school and high school mathematics and science. Students apply their understanding of percent (7.RP.A.2c, 7.RP.A.3, 7.EE.B.3) to solve word problems in which they determine, for instance, when given two different sets of 3-letter passwords and the percent of 3-letter passwords that meet a certain criteria, which set is the correct set. Or, given a 12-gallon mixture that is 40% pure juice, students determine how many gallons of pure juice must be added to create a 5-gallon mixture that is 20% pure juice by writing and solving the equation 0.2(5) + j = 0.4(12), where j is the amount of pure juice added to the original mixture.
Grade 7 Mathematics Module 4, Topic D, Overview
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Common Core Learning Standards
|7.RP.2.c||Represent proportional relationships by equations. For example, if total cost t is proportional to...|
|7.RP.3||Use proportional relationships to solve multistep ratio and percent problems. Examples: simple...|
|7.EE.3||Solve multi-step real-life and mathematical problems posed with positive and negative rational...|