7th grade Math Guide

a. Decide whether two quantities are in a proportional relationship, e.g. by testing for equivalent rations 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.EE.3 Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, 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.

Standard 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS

I can explain what a negative or positive number means in a real world context. Language Supports: ● Vocabulary (negative, positive, integer, rational number)

I can solve a real-world problem using all four operations on positive and negative rational numbers and explain what my answer means in terms of the problem itself. Language Supports: ● Vocabulary (negative, positive, integer, rational number) DIFFERENTIATION IN ACTION

Skill Building

From Activity 6.1: MLR 8 Discussion Supports. Display sentence frames for students to use as a support when they explain their strategy. For example, "I noticed that ______." or "First, I ________ because ________." When students share their answers with a partner, prompt them to rehearse what they will say when they share with the whole class. Rehearsing provides students with additional opportunities to clarify their thinking, and to consider how they will communicate their reasoning.

Extension

From Lesson 3 “Are You Ready for More?”: Find the sum without a calculator. 10+21+32+43+54+(-54)+(-43)+(-32)+(-21)+(-10)

RESOURCES

Unit 5 Vocabulary Information about Practice Problems Practice Problems that need to be removed with

Combine Lessons 1 & 2 Combine Lessons 3 & 4 Combine Lessons 6 & 7