7th grade Math Guide

PROPORTIONAL RELATIONSHIPS

Unit 3

PACING

KEY LANGUAGE USES

October 8 - November 6 (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.

Standard 7.RP.3 Use proportional relationships to solve multi-step ratio and percent problems.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS I can use proportional reasoning to solve single and multi-step problems. Language Supports: ●​ Vocabulary (constant of proportionality) DIFFERENTIATION IN ACTION Skill Building Unit 3 Fluency Practice on operations with decimals.

Extension

Lesson 3.2 STEM Adventure - Wildlife biologists at a state park are trying to control an algae bloom in the points. Students use ratio and graphing skills to investigate why some pounds have responded well to algae bloom treatment and others have not.

Honors lesson plan

REVEAL MATH AND CORE ALIGNMENT

Standard

Section(s)

7.RP.1

3.1

7.RP.2

3.1, 3.2, 3.3, 3.4, 3.5, 3.6

7.RP.3

3.6