Standard #: MAFS.6.RP.1.2 (Archived Standard)


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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: 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 - Archived
Assessed: Yes

Test Item Specifications

    N/A

    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 # Question Difficulty Type
Sample Item 1 Which statement describes a unit rate? 

 

N/A MC: Multiple Choice
Sample Item 2 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?

N/A EE: Equation Editor


Related Courses

Course Number1111 Course Title222
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7912110: Fundamental Explorations in Mathematics 1 (Specifically in versions: 2013 - 2015, 2015 - 2017 (course terminated))


Related Resources

Formative Assessments

Name Description
Writing Unit Rates

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

Identifying Unit Rates

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

Explaining Rates

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

Book Rates

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

Lesson Plans

Name Description
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.

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Real Estate Rental Agency

In this Model Eliciting Activity, MEA, students will choose the best location for a family relocating and will find the monthly costs per month to make the best decision.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

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.
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.

"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.

The Best Domestic Car

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

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

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.

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.

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

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.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

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.

Pancakes over a Campfire!

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

Original Student Tutorial

Name Description
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.  

Perspectives Video: Expert

Name Description
Statistical Sampling Results in setting Legal Catch Rate

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.

Perspectives Video: Professional/Enthusiasts

Name Description
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.

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.

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.

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.

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.

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.

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.

Problem-Solving Tasks

Name Description
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.

The Escalator, Assessment Variation

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

Mangos for Sale

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

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.

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.

Tutorials

Name Description
Solving Unit Rate Problem

This video demonstrates solving a unit rate problem using equivalent ratios.

Solving Unit Price Problem

This video demonstrates solving a unit price problem using equivalent ratios.

Virtual Manipulative

Name Description
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.

Student Resources

Original Student Tutorial

Name Description
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.  

Problem-Solving Tasks

Name Description
Mangos for Sale:

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

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.

Tutorial

Name Description
Solving Unit Price Problem:

This video demonstrates solving a unit price problem using equivalent ratios.



Parent Resources

Problem-Solving Tasks

Name Description
Mangos for Sale:

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

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.

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.



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