MAFS.6.RP.1.2

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. 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.”
General Information
Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Ratios & Proportional Relationships
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand ratio concepts and use ratio reasoning to solve problems. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes
Test Item Specifications

  • Assessment Limits :
    Items using the comparison of a ratio will use whole numbers. Rates can be expressed as fractions, with “:” or with words. Items may involve mixed units within each system (e.g. convert hours/min to seconds). Context itself does not determine the order. Name the amount of either quantity in terms of the other as long as one of the values is one unit.
  • Calculator :

    No

  • Context :

    Required

Sample Test Items (2)

  • Test Item #: Sample Item 2
  • Question: Dominic is buying candy by the pound for a party. For every 10 pounds of candy he buys, he pays $12.

    What is the cost, per pound, for the candy?

  • Difficulty: N/A
  • Type: EE: Equation Editor

Related Courses

This benchmark is part of these courses.
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1205020: M/J Grade 6 Accelerated Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022 (current), 2022 and beyond)
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond)
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond)
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Assessments

Sample 4 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

Sample 3 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

Sample 2 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

Sample 1 - Sixth Grade Math State Interim Assessment:

This is a State Interim Assessment for sixth grade.

Type: Assessment

Formative Assessments

Writing Unit Rates:

Students are given verbal descriptions of rates and asked to write them as unit rates.

Type: Formative Assessment

Identifying Unit Rates:

Students are asked to decide if given statements express unit rates.

Type: Formative Assessment

Explaining Rates:

Students are asked to explain the meaning of given rates and identify any that are unit rates.

Type: Formative Assessment

Book Rates:

Students write and explain the meaning of a ratio and corresponding unit rate in the context of a word problem.

Type: Formative Assessment

Lesson Plans

Build Me a Beach House:

This is a multi-day activity that reinforces science, math, and technology skills by taking the students through the design process. Students will be tasked with designing and building a structure that could withstand high winds and water as would be found close to the seashore.

Type: Lesson Plan

Rate Your Local Produce Market:

The students will rank the local produce markets by using qualitative and quantitative data. The students will have to calculate unit rates and compare and order them.

Type: Lesson Plan

Recognizing Proportional Relationships to Develop Sense of Scale:

This 90-minute lesson (15-minute pre-lesson, 60-minute lesson and 15-minute follow up lesson or homework) asks students to analyze proportional relationships to solve real world and mathematical problems. The examples use recipes, paint, and buildings. Students begin by working individually, then in pairs or threes, and then as a whole class. Student will need calculators, large sheets of paper to make a poster and the lesson materials.

Type: Lesson Plan

Catapult a Rate:

This lesson uses student created data to find the unit rate of distance per time. Students catapult three different coins, measure time and distance to find the rate of flight for each coin.

Type: Lesson Plan

"Analyzing Wordless Stories" An Introduction to Solving Unit Rates:

In this lesson, students will apply their understanding of ratios and prior knowledge of division to determine the unit rate for a given ratio. After some initial instruction on unit rates, students will determine unit rates from diagrams with teacher guidance, and they will determine unit rates from narrative descriptions independently.

Type: Lesson Plan

The Best Domestic Car:

In this MEA students will use problem-solving strategies to determine which car to recommend to Americans living in India.

Type: Lesson Plan

Savvy Shopper:

This a culminating activity for unit rates that has students apply knowledge to purchasing groceries. Specifically how knowledge of unit rates can help save money over time.

Type: Lesson Plan

What Does a Ratio Look Like?:

The class will use a PowerPoint presentation to take a stroll down the beach for some ice cream. The students must investigate how to write the number of ice cream cones in relation to the cost of ice cream.

Type: Lesson Plan

Best Day Care Center in the Neighborhood:

This MEA requires students to formulate a comparison-based solution to a problem involving choosing the best day care center in the neighborhood for the residents of Dream Living Housing Community. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client.

Type: Lesson Plan

Orange Juice Conversion:

In this MEA, the students will be able to convert measurements within systems and between systems. They will be able to use problem solving skills to create a process for ranking orange juices for a Bed and Breakfast.

Type: Lesson Plan

Is It Fair?:

In this lesson students will use their understanding of ratios and unit rate to solve problems where they must decide whether various situations are fair.

Type: Lesson Plan

Pancakes over a Campfire!:

In this activity, students will learn how to set up ratios and calculate unit rates using a recipe.

Type: Lesson Plan

Original Student Tutorial

Farmers Market: Ratios, Rates and Unit Rates:

Learn how to identify and calculate unit rates by helping Milo find prices per item at a farmer's market in this interactive tutorial.  

Type: Original Student Tutorial

Perspectives Video: Expert

Statistical Sampling Results in setting Legal Catch RateĀ :

Fish Ecologist, Dean Grubbs, discusses how using statistical sampling can help determine legal catch rates for fish that may be endangered.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Expert

Perspectives Video: Professional/Enthusiasts

Unit Rates in Swimming:

In this video, David Fermin demonstrates real-time estimates for monitoring swimming performance and physiology.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Unit Rate: Spring Water Bottling:

Nestle Waters discusses the importance of unit rate in the manufacturing process of bottling spring water.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Unit Rate and Florida Cave Formation:

How long does it take to form speleothems in the caves at Florida Caverns State Parks?

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Pizza Pi: Area, Circumference & Unit Rate:

How many times larger is the area of a large pizza compared to a small pizza?  Which pizza is the better deal? Michael McKinnon of Gaines Street Pies talks about how the area, circumference and price per square inch is different depending on the size of the pizza.  

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Amping Up Violin Tuning with Math:

Kyle Dunn, a Tallahassee-based luthier and owner of Stringfest, discusses how math is related to music. 

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Coffee Mathematics: Ratios and Total Dissolvable Solids:

Math - the secret ingredient for an excellent cup of coffee!

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Bicycle Mathematics: Selecting Gear Ratios for Performance:

Don't let math derail you. Learn how bicycle gears use ratios to help you ride comfortably on all kinds of terrain.

Download the CPALMS Perspectives video student note taking guide.

Type: Perspectives Video: Professional/Enthusiast

Problem-Solving Tasks

Running at a Constant Speed, Assessment Variation:

In this assessment, students are asked questions involving distance, rate, and time. Students will use and analyze concepts of ratio, unit rate, proportion, and proportional units.

Type: Problem-Solving Task

The Escalator, Assessment Variation:

Students are provided seven choices and are asked to determine the ratios that are correct for the given context.

Type: Problem-Solving Task

Mangos for Sale:

Students are asked to determine if two different ratios are both appropriate for the same context.

Type: Problem-Solving Task

Price Per Pound and Pounds Per Dollar:

Students are asked to use a given ratio to determine if two different interpretations of the ratio are correct and to determine the maximum quantity that could be purchased within a given context.

Type: Problem-Solving Task

Ratio - Make Some Chocolate Crispies:

In this activity students calculate the ratio of chocolate to cereal when making a cake. Students then use that ratio to calculate to amount of chocolate and cereal necessary to make 21 cakes.

Type: Problem-Solving Task

Virtual Manipulative

Planet Size Comparison: Ratio:

Images of two planets selected on two drop-down menus with a display of their respective diameters and the applicable ratio.

Type: Virtual Manipulative

STEM Lessons - Model Eliciting Activity

Best Day Care Center in the Neighborhood:

This MEA requires students to formulate a comparison-based solution to a problem involving choosing the best day care center in the neighborhood for the residents of Dream Living Housing Community. Students are provided the context of the problem, a request letter from a client asking them to provide a recommendation, and data relevant to the situation. Students utilize the data to create a defensible model solution to present to the client.

Orange Juice Conversion:

In this MEA, the students will be able to convert measurements within systems and between systems. They will be able to use problem solving skills to create a process for ranking orange juices for a Bed and Breakfast.

Rate Your Local Produce Market:

The students will rank the local produce markets by using qualitative and quantitative data. The students will have to calculate unit rates and compare and order them.

The Best Domestic Car:

In this MEA students will use problem-solving strategies to determine which car to recommend to Americans living in India.

MFAS Formative Assessments

Book Rates:

Students write and explain the meaning of a ratio and corresponding unit rate in the context of a word problem.

Explaining Rates:

Students are asked to explain the meaning of given rates and identify any that are unit rates.

Identifying Unit Rates:

Students are asked to decide if given statements express unit rates.

Writing Unit Rates:

Students are given verbal descriptions of rates and asked to write them as unit rates.

Original Student Tutorials Mathematics - Grades 6-8

Farmers Market: Ratios, Rates and Unit Rates:

Learn how to identify and calculate unit rates by helping Milo find prices per item at a farmer's market in this interactive tutorial.  

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Farmers Market: Ratios, Rates and Unit Rates:

Learn how to identify and calculate unit rates by helping Milo find prices per item at a farmer's market in this interactive tutorial.  

Type: Original Student Tutorial

Problem-Solving Tasks

Mangos for Sale:

Students are asked to determine if two different ratios are both appropriate for the same context.

Type: Problem-Solving Task

Price Per Pound and Pounds Per Dollar:

Students are asked to use a given ratio to determine if two different interpretations of the ratio are correct and to determine the maximum quantity that could be purchased within a given context.

Type: Problem-Solving Task

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Problem-Solving Tasks

Mangos for Sale:

Students are asked to determine if two different ratios are both appropriate for the same context.

Type: Problem-Solving Task

Price Per Pound and Pounds Per Dollar:

Students are asked to use a given ratio to determine if two different interpretations of the ratio are correct and to determine the maximum quantity that could be purchased within a given context.

Type: Problem-Solving Task

Ratio - Make Some Chocolate Crispies:

In this activity students calculate the ratio of chocolate to cereal when making a cake. Students then use that ratio to calculate to amount of chocolate and cereal necessary to make 21 cakes.

Type: Problem-Solving Task