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.3c

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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.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)

56 Lesson(s)

### Percents and double line diagrams and tape diagrams (Day 1)

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Ratios and Percents

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

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

### Give me 100%.

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Percentage Equations

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

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

### Pretest

6th Grade Math »
Unit: The College Project - Working with Decimals

6th Grade Math »
Unit: The College Project - Working with Decimals

Big Idea:

#### What do students already know about decimal operations and equivalency between fractions, decimals, and percents? What gaps do students have in their understanding? Students take the Unit 2 pretest in order to inform instruction.

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Resources
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### Visually representing percent word problems (Day 2)

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Solving Percent Problems (Day 1)

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Show What you Know About Ratios

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

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

### Solving Percent Problems (Day 2)

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Finding the Total Using Percentage Equations

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

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

### College Project Wrap Up

6th Grade Math »
Unit: The College Project - Working with Decimals

6th Grade Math »
Unit: The College Project - Working with Decimals

### Show what you know about rates

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

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

### Working with Percents

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

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

### Budgets

6th Grade Math »
Unit: The College Project - Working with Decimals

6th Grade Math »
Unit: The College Project - Working with Decimals

### 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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