6.RP.A.3

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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." "For every vote candidate A received, candidate C received nearly three votes."
- 6.RP.A.2Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 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.

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6.RP.A.3b

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- 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.

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## 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).

27 Lesson(s)

### Unit Rate Problems (Part 1 of 3)

6th Grade Math »
Unit: Unit Rate Applications and Percents

6th Grade Math »
Unit: Unit Rate Applications and Percents

### Better Deal Stations

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Unit Rate Problems (Part 3 of 3)

6th Grade Math »
Unit: Unit Rate Applications and Percents

6th Grade Math »
Unit: Unit Rate Applications and Percents

### Scale Drawings

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Nana's Chocolate Milk

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Introduction to Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Are You a Good Consumer?

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Constant Speed

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Calculating Speed Day 1

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Show what you know about rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Calculating Speed Day 2

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

Big Idea:

#### Who’s 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.

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Resources
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Reflections
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### Unit Rate Grocery Shopping Project

6th Grade Math »
Unit: Unit Rate

6th Grade Math »
Unit: Unit Rate

### Review of Rates and Unit Rates

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Calculating Unit Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

### Unit 5 Test

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

6th Grade Math »
Unit: Proportional Reasoning: Ratios and Rates

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