7th grade Math Guide

PROPORTIONAL RELATIONSHIPS AND PERCENTAGES

Unit 4

PACING

KEY LANGUAGE USES

Option 1: December 4 - January 12 (18 days) Option 2: November 5 - December 4 (19 days)

EXPLAIN

STANDARDS Standard 7.RP.1 Compute unit rates associated with ratios of fraction, including ratios of lengths, areas, and other quantities measured in like or different units.

Standard 7.RP.2 Recognize and represent proportional relationship between quantities.

a. ​ Decide whether two quantities are in a proportional relationship, e.g. by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. ​ Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. c. ​ Represent proportional relationships by equations. d. ​ Explain what a point ( x, y ) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r ) where r is the unit rate. END OF UNIT COMPETENCY WITH LANGUAGE SUPPaORTS I can explain how to find the discount or markup using percents and proportional reasoning. Language Supports: ●​ Vocabulary (percent, proportional reasoning, discount, markup) DIFFERENTIATION IN ACTION Skill Building From Lesson 4.2: MLR 8 Discussion Supports. Use this routine to support whole-class discussion. After selected students share their explanations for who they agree with (Mai or Kiran). Call on students to restate and/or revoice the explanations presented using mathematical language (e.g., distributive property, equivalent equation, etc.). Consider giving students time to practice restating what they heard to a partner, before selecting one or two students to share with the class. This will provide more students with Standard 7.RP.3 Use proportional relationships to solve multi-step ratio and percent problems.