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- 6.RP.A.1Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak."Â "For every vote candidate A received, candidate C received nearly three votes."Â
- 6.RP.A.2Understand the concept of a unit rate a/b associated with a ratio a:b with b â 0 (b not equal to zero), and use rate language in the context of a ratio relationship. For example, "This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar." "We paid $75 for 15 hamburgers, which is a rate of $5 per hamburger." (Expectations for unit rates in this grade are limited to non-complex fractions).
- 6.RP.A.3Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

- 6.RP.A.3aMake 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.
- 6.RP.A.3bSolve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (Combine and relabel).
- 6.RP.A.3cFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. (Combine and Relabel)
- 6.RP.A.3dUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Unit Rate Problems (Part 1 of 3)

6th Grade Math

Â» Unit:

Unit Rate Applications and Percents

Big Idea:If we know the unit rate in a relationship, we can find any equivalent ratio easily.

Unit Rate Problems (Part 3 of 3)

6th Grade Math

Â» Unit:

Unit Rate Applications and Percents

Big Idea:If we know the unit rate of a ratio relationship, we can find any equivalent ratio easily with any whole number value.

Scale Drawings

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:This lesson will provide students the opportunity to work with scale drawings as they create their own road trip to see how far they go using a map of the United States.

Better Deal Stations

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What is the better deal? How do you know? How do stores try to trick you? Students work in groups to determine the better deal.

Nana's Chocolate Milk

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:How can you fix Nanaâs chocolate milk? Students work on this problem over time to develop a final product that demonstrates their mathematical thinking and solution.

Introduction to Rates

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:Who is the fastest at making posters? Who is the slowest? Students learn about rates and unit rates and apply their knowledge to solve word problems.

Are You a Good Consumer?

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Students will be looking at making wise consumer decisions by figuring out what is the better deal!

Constant Speed

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Students will connect math and science while working with constant speed.

Calculating Speed Day 1

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What was your sprinting speed in miles per hour? Students use conversions and rates to calculate their speed.

Show what you know about rates

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What do students understand? What gaps do they have in their understanding? Students review and take the quiz.

Calculating Speed Day 2

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:Whoâs faster? During the second day of this investigation, students use conversions and rates to calculate and compare their speeds. Students also use their data to plot points on a line graph.

Unit Rate Grocery Shopping Project

6th Grade Math

Â» Unit:

Unit Rate

Big Idea:Students go grocery shopping.

Unit 5 Test

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What have students learned during this unit? What gaps do students have in their understanding? Students take the Unit 5 test.

Review of Rates and Unit Rates

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:In this lesson the students will be reviewing for their assessment on rates and unit rates using a fun game.

Calculating Unit Rates

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:How long does it take each student to make one bracelet? How many bracelets can each student make in an hour? Students practice finding and using unit rates to answer questions.

6.RP.A.3a

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.

6.RP.A.3b

Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (Combine and relabel).

6.RP.A.3c

Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. (Combine and Relabel)

6.RP.A.3d

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.