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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.

Part to Part Ratios Using Tape Diagrams and Tables

6th Grade Math

» Unit:

Rates and Ratios

Big Idea:There are multiple ways to represent proportional relationships and reason about solutions to problems.

Graphing Ratios

6th Grade Math

» Unit:

Rates and Ratios

Big Idea:A graphical representation of an equivalent ratio will be linear because every time you increase one value by a given amount, you increase the other value in proportion to the first.

Unit Rate Problems (Part 1 of 3)

6th Grade Math

» Unit:

Unit Rate Applications and Percents

Big Idea:If we know the unit rate in a relationship, we can find any equivalent ratio easily.

Using Rates Stations

6th Grade Math

» Unit:

Ratios and Proportions

Big Idea:Student centered activities based on rates and unit rates!

Converting Measurements Using Ratios Day 2

6th Grade Math

» Unit:

Proportional Reasoning: Ratios and Rates

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

Unit Rate Problems (Part 3 of 3)

6th Grade Math

» Unit:

Unit Rate Applications and Percents

Big Idea:If we know the unit rate of a ratio relationship, we can find any equivalent ratio easily with any whole number value.

Scale Drawings

6th Grade Math

» Unit:

Ratios and Proportions

Big Idea:This lesson will provide students the opportunity to work with scale drawings as they create their own road trip to see how far they go using a map of the United States.

Loans and Savings

6th Grade Math

» Unit:

The College Project - Working with Decimals

Big Idea:What are loans and how do they work? How do banks encourage people to save money? Students work on these questions in the context of the College Project.

Unit Rate Problems (Part 2 of 3)

6th Grade Math

» Unit:

Unit Rate Applications and Percents

Big Idea:If we know the unit rate of a ratio relationship, we can find any equivalent ratio easily with any whole number value.

Understanding Rates and Unit Rates Stations Activity

6th Grade Math

» Unit:

Ratios and Proportions

Big Idea:The students will get the opportunity to work in stations to reinforce and deepen their understanding of rates and unit rates.

Ratios and Percents

6th Grade Math

» Unit:

Unit Rate Applications and Percents

Big Idea:Percent means ‘per 100.’ A percent can be represented using a ratio of ‘a’ to 100.

Performance Task (2 days)

6th Grade Math

» Unit:

Ratios and Proportions

Big Idea:This lesson is a performance task based on their learning of ratios. Students will be using their knowledge of ratios and unit rates to create their own pizza.

Ratio Review for 6.RP.1, 6.RP.3a, 6.RP.3d

6th Grade Math

» Unit:

Ratios and Proportions

Big Idea:The students will be able to show what they know about ratios and how to use multiple representations strategically.

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.