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.3d

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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.3d

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

38 Lesson(s)

### Part to Total Ratios Using Tape Diagrams and Tables

6th Grade Math »
Unit: Rates and Ratios

6th Grade Math »
Unit: Rates and Ratios

### Converting Measurements Using Ratios Day 2

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

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

### Better Deal Stations

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

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

### Measuring and Weighing and Filling, OH MY!

6th Grade Math »
Unit: Customary System

6th Grade Math »
Unit: Customary System

### Writing Ratios the right way - Stations

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Converting Measurements Using Ratios

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

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

### Real-World Ratios 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

### Heart Rate

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

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

### Calculating Speed Day 1

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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### 3rd day of school

6th Grade Math »
Unit: First week of school

6th Grade Math »
Unit: First week of school

Big Idea:

#### Students will be using an NCTM exemplar to enhance their learning with graphs, equations, time, patterns, and symbolic rules. They will be working at their own pace to enrich their understanding of math.

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(7)

Resources
(17)

Reflections
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### Equvalent Ratios Again!

6th Grade Math »
Unit: Ratios and Proportions

6th Grade Math »
Unit: Ratios and Proportions

### Working with Expressions and Equations Part 3

6th Grade Math »
Unit: Expressions, Equations, & Inequalities

6th Grade Math »
Unit: Expressions, Equations, & Inequalities

Big Idea:

#### Ben’s mom gives him the option of grooming 3 horses or mowing 2 fields. Which job should Ben choose? Why? Students use their knowledge of algebraic expressions and equations to write expressions and equations.

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(11)

Resources
(20)

Reflections
(1)

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