6th Grade Math Guide

INTRODUCING RATIOS

Unit 2

PACING

SUGGESTED CALCULATOR USE KEY LANGUAGE USES

October 2 - November 1 (20 days)

Yes

EXPLAIN

STANDARDS

Standard 6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

Standard 6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 and use rate language in the context of a ratio relationship.

Standard 6.RP.3 Use ratio and rate reasoning to solve real-world (with a context) and mathematical (void of context) problems, using strategies such as reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations involving unit rate problems. a. Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. b. Solve unit rate problems including those involving unit pricing and constant speed. c. Find a percent of a quantity as a rate per 100. Solve problems involving finding the whole, given a part and the percent. d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

END OF UNIT COMPETENCY WITH LANGUAGE SUPPORTS

I can explain the relationship between two numbers using ratio language, including equivalent ratios. Language Supports: ● Vocabulary (ratio, equivalent)

I can represent equivalent traits on a number line, bar diagram, or table. Language Supports: ● Vocabulary (number line, bar diagram, table) DIFFERENTIATION IN ACTION

Skill Building

In Activity 7.3, Briefly review the meaning of the following terms: " parallel," "equal increments," and "line up." Use visuals to show what these terms are in the context of the problem. From Lesson 14 “Are you ready for more?” The ratio of cats to dogs in a room is 2:3. Five more cats enter the room, and then the ratio of cats to dogs is 9:11. How many cats and dogs were in the room to begin with?

Extension