Measurement Topic(s): Ratios and Unit Rates

Standard: 

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.

6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship.

6.RP.1 Understand the concept of a ratio language to describe a ratio relationship between two quantities.


Assessment rubric

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 


Flexible Curriculum

Text and video

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)

Interactive & simulations

CK-12 Miles Per Gallon 

CK-12 Unit Rates

Practice/PDF/worksheets

CK12 Practice Unit Rates

Illuminations What’s Your Rate?

Illustrative Math Tasks 6RP

Illustrative Math Tasks 7RP

Common Core Sheets - Various Worksheets on Ratios

Math-Aids.com - Various Worksheets on Ratios

Group and collaborative activities

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

Assessments

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)

Resources not free but applicable to the content/standard

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.