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CKMath Unit 4: Proportional Relationships and Percentages


Focus:
In this unit, students use ratios, scale factors, unit rates (also called constants of proportionality), and proportional relationships to solve multi-step, real-world problems that involve fractions and percentages. They use long division to write fractions presented in the form as decimals. They learn to understand and use the terms “repeating decimal,” “terminating decimal,” “percent increase,” “percent decrease,” “percent error,” and “measurement error.” They represent amounts and corresponding percent rates with double number line diagrams and tables. They use these terms and representations in reasoning about situations involving sales taxes, tips, markdowns, markups, sales commissions, interest, depreciation, and scaling a picture. Students use equations to represent proportional relationships in which the constant of proportionality arises from a percentage, e.g., relationship between price paid and amount of sales tax paid.

Number of Lessons: 15 and 1 optional

Instruction Time:
Approximately 50 minutes
(Please note that each lesson is designed for one instructional block, and may be divided into shorter or longer segments based on teacher pacing and student needs.)

Mathematics Grade 7 English

Individual Resources

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CKMath Unit 4: Proportional Relationships and Percentages STUDENT WORKBOOK

CKMath Workbooks contain the Student Task Statements, which are the activities for each lesson, and the Cumulative Practice Problems that allow students to build conceptual understanding and apply their knowledge and skills through distributed practice.

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CKMath Unit 4: Proportional Relationships and Percentages TEACHER GUIDE

CKMath Teacher Guides include comprehensive lesson plans, assessments and answer keys for the unit, and teacher resources, including instructional masters, family take-home letters, and more.