6th Grade Math Guide

UNIT RATES & PERCENTAGES

Unit 3

PACING

SUGGESTED CALCULATOR USE

KEY LANGUAGE USES

November 2 - December 4 (20 days)

Yes

EXPLAIN

STANDARDS

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 find a unit rate. Language Supports: ●

Vocabulary (rate, unit rate, speed)

I can use my knowledge of ratios and unit rates to find a percent of a number and explain why it works. Language Supports: ● Vocabulary (percent, percentage) DIFFERENTIATION IN ACTION

Skill Building

From activity 4.2 Ask students to display their approaches to determine whether or not Elena’s mom was speeding. As students share their work, encourage them to explain the meaning of each quantity they use. For example, if they convert 80 miles per hour into kilometers per hour, where 80 is multiplied by 5/8, ask what 5/8 means in this context and why they decide to multiply it by 80. If students used a table or a double number line, ask how these representations connect with other strategies. This will help students make sense of the various approaches to reason about equivalent ratios which can be used for reasoning about converting