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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.

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

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Students will be using visual representations to help them solve percent problems. They will be able to say ____% of ____ = _____ by the end of this lesson!

Ratios and Percents

6th Grade Math

Â» Unit:

Unit Rate Applications and Percents

Big Idea:Percent means âper 100.â A percent can be represented using a ratio of âaâ to 100.

Give me 100%.

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Understanding the connection between ratio, percents, and fractions.

Percentage Equations

6th Grade Math

Â» Unit:

Unit Rate Applications and Percents

Big Idea:To find the percent of a number, you can set up an equation to find an equivalent ratio to the part out of one hundred.

Pretest

6th Grade Math

Â» 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.

Visually representing percent word problems (Day 2)

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Using a variety of visual representations to solve real world percent problems.

Solving Percent Problems (Day 1)

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Solving percent problems using real world scenarios.

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.

Solving Percent Problems (Day 2)

6th Grade Math

Â» Unit:

Ratios and Proportions

Big Idea:Solving percents using real world scenarios

Finding the Total Using Percentage Equations

6th Grade Math

Â» Unit:

Unit Rate Applications and Percents

Big Idea:Percents are special ratios written as a comparison of a number out of 100.

College Project Wrap Up

6th Grade Math

Â» Unit:

The College Project - Working with Decimals

Big Idea:What have students learned about college? What questions do they still have? Students work on wrapping up and reflecting on the College Project.

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.

Working with Percents

6th Grade Math

Â» Unit:

Proportional Reasoning: Ratios and Rates

Big Idea:What is a percent discount? Students apply their knowledge of ratios and percents to figure out which store has the better deal.

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.

Budgets

6th Grade Math

Â» Unit:

The College Project - Working with Decimals

Big Idea:What is a budget? How do we use it and why is it important? Students work on these questions in the context of the College Project.

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.