Ratios/Unit Rates (6.RP.1 6.RP.2 7.RP.1)

7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour.

Mastery Level | Description | Evidence |

4 Extended Thinking | ||

3 Mastery | Given a real world situation, I can compute/calculate unit rates when the measurements are given as fractions. I can simplify complex fractions. I can convert quantities to units of the same measure and determine a reasonable solution. | Use division to compute unit rate. Explain how the two units are related in a unit rate. Compute unit rates using fractions in real life situations. Convert different unit measures relating to length, time and other quantities. |

2 Foundational | I can understand the difference between a rate and a ratio. I can calculate the unit rate when given a ratio. I can say and write a unit rate and ratio. I can use correct labels after finding a unit rate. | Calculate a unit rate. Solve one-step problems converting a ratio to a unit rate. Compare and contrast ratios and rates. |

1 Emerging | I can write and explain a ratio describing the relationship between two quantities. For example if I am given 3 red chips and 2 blue chips, I will be able to give the ratio of red chips to blue chips as 3 to 2, 3:2, or 3/2 I can define the term ratio and give various examples. | Write and model a ratio using two quantities. Describe and compare two numbers using ratios including appropriate notation. Simplify ratios. Identify a ratio in a real life context. |

Learner Agency Reflection Tool | Read Only copy

CK-12 Unit Rates (text and video)

CK-12 Ratios (text and video) (6.RP.2)

CK-12 Rates (text and video) (6.RP.2)

CK-12 Solving Proportions (text and video) 6.RP.2)

CK-12 Rates (text and video) (7.RP.1)

CK-12 Ratios (text and video) (7.RP.1)

Understanding Ratios with Tape Diagrams Video

LearnZillion Videos for 6.RP.A.1

LearnZillion Videos for 6.RP.A.2

LearnZillion Videos for 7.RP.A.1

Engage NY - 6th Grade Module 1 (Topic A)

Engage NY - 6th Grade Module 1 (Topic B)

Engage NY - 6th Grade Module 1 (Topic C)

CK12 Practice Unit Rates

Illuminations What’s Your Rate?

Common Core Sheets - Various Worksheets on Ratios

Math-Aids.com - Various Worksheets on Ratios

Problem of the Month - First Rate (Insider Mathematics)

Problem of the Month - Movin and Groovin (Insider Mathematics)

Dan Meyer - 3 Act Math - 6.RP.2 Finals Week

Dan Meyer - 3 Act Math - 7.RP.1 Graduation

Dan Meyer - 3 Act Math - 7.RP.1 Gas Station Rip Off

Howard County - 6.RP.A.1 Assessment Items

Howard County - 7.RP.A.1 Assessment Items

Howard County - 7.RP.A.2B Assessment Items

Howard County - 7.RP.A.2D Assessment Items

Assessment Task - Truffles (Inside Mathematics)

Assessment Task - Snail Pace (Inside Mathematics)

Assessment Task - Candies (Inside Mathematics)

IXL.com - Ratios and Proportions 6th Grade (R.1 - R.12)

IXL.com - Ratios, rates, and proportions 7th Grade (J.1 - J.14)

Accelerated Math - CC Grade 6 Library (Objectives 1-29)

Accelerated Math - CC Grade 7 Library (Objectives 1-23)

Teachers Pay Teachers - Standards-Based 6th, 7th, 8th Grade Math Assessments-offers a very short (5 question) assessment for each standard. These would be great for quick pre-assessment or check for understanding.