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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.

Comparing Ratios

6th Grade Math

Â» Unit:

Rates and Ratios

Big Idea:Any entry within one ratio table for one term can me compared with any entry from the ratio table for the other term.

Converting Measurements Using Ratios Day 2

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:Which building is the worldâs tallest building? Students use ratios to convert measurements between customary and metric systems. Students apply this knowledge to word problems.

Part to Total Ratios Using Tape Diagrams and Tables

6th Grade Math

Â» Unit:

Rates and Ratios

Big Idea:Tape diagrams and double number line diagrams can show ratio relationships and be used to reason about solutions to problems.

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.

Measuring and Weighing and Filling, OH MY!

6th Grade Math

Â» Unit:

Customary System

Big Idea: This lesson drives home the idea that studying for math means practicing problems and reflecting on your strategies

Writing Ratios the right way - Stations

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:The students will be reinforcing what they have learned using a variety of methods in this station activity.

Converting Measurements Using Ratios

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:How much taller is Lebron than Dwayne? Students use ratios to convert measurements and apply this knowledge to word problems.

Real-World Ratios Day 1

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea: Mathematics, ratios and how they connect to the real world

Show What you Know About Ratios

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What do students understand? What gaps do they have in their understanding? Before the quiz, students play some online games to review.

Heart Rate

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What is your resting rate? What is your active heart rate? How can you improve your heart rate? Students calculate these rates and use multiplication and division to answer rate questions.

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.

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 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.

Equvalent Ratios Again!

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Develop a relationship between the ratio table and the coordinate grid

Working with Expressions and Equations Part 3

6th Grade Math

Â» Unit:

Expressions, Equations, & Inequalities

Big Idea:Benâs 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.

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.