Standard #: MA.6.AR.3.2


This document was generated on CPALMS - www.cpalms.org



Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.


Examples


Tamika can read 500 words in 3 minutes. Her reading rate can be described as begin mathsize 12px style fraction numerator 500 space w o r d s over denominator 3 space m i n u t e s end fraction end style which is equivalent to the unit rate of begin mathsize 12px style 166 2 over 3 end style words per minute.

Clarifications


Clarification 1: Instruction includes using manipulatives, drawings, models and words and making connections between ratios, rates and unit rates.

Clarification 2: Problems will not include conversions between customary and metric systems.



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))


Related Access Points

Access Point Number Access Point Title
MA.6.AR.3.AP.2 Given a rate, calculate the unit rate for a ratio with different units.


Related Resources

Formative Assessments

Name Description
Unit Rate Length

Students are asked to write ratios and unit rates from fractional values.

Unit Rate Area

Students are asked to convert a ratio of mixed numbers to a unit rate and explain its contextual meaning.

Comparing Unit Rates

Students are asked to compute unit rates from values that include fractions.

Computing Unit Rates

Students are asked to compute and interpret unit rates in two different ways from values that include fractions and mixed numbers.

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
Cool Special Effects

In this MEA, students will apply the concepts of heat transfer, especially convection. Students will analyze factors such as temperature that affect the behavior of fluids as they form convection currents.

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.

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.

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.

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.

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.

Building Scale Models to Solve an Archaeological Mystery

An archaeologist describes how mathematics can help prove a theory about mysterious prehistoric structures called shell rings.

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.

KROS Pacific Ocean Kayak Journey: Calories, Distance, and Rowing Rates

Food is fuel, especially important when your body is powering a boat across the ocean.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set[.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth[.KML]

Download the CPALMS Perspectives video student note taking guide.

KROS Pacific Ocean Kayak Journey: Calories, Exercise, and Metabolism Rates

How much food do you need to cross the Pacific in a kayak? Get a calculator and a bag of almonds before you watch this.

Related Resources:
KROS Pacific Ocean Kayak Journey: GPS Data Set[.XLSX]
KROS Pacific Ocean Kayak Journey: Path Visualization for Google Earth[.KML]

Perspectives Video: Teaching Idea

Name Description
Bicycle Mathematics: Speed and Distance Calculations

Cycling involves a lot of real-time math when you use an on-board computer. Learn about lesson ideas and how computers help with understanding performance.

Download the CPALMS Perspectives video student note taking guide.

Tutorials

Name Description
Determining Rates with Fractions

This video demonstrates finding a unit rate from a rate containing fractions.

Rate Problem With Fractions

Watch as we solve a rate problem finding speed in meters per second using distance (in meters) and time (in seconds).

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.

Converting Speed Units

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.

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.  

Perspectives Video: Professional/Enthusiast

Name Description
Building Scale Models to Solve an Archaeological Mystery:

An archaeologist describes how mathematics can help prove a theory about mysterious prehistoric structures called shell rings.

Tutorials

Name Description
Determining Rates with Fractions:

This video demonstrates finding a unit rate from a rate containing fractions.

Rate Problem With Fractions:

Watch as we solve a rate problem finding speed in meters per second using distance (in meters) and time (in seconds).

Solving Unit Price Problem:

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

Converting Speed Units:

In this lesson, students will be viewing a Khan Academy video that will show how to convert ratios using speed units.



Parent Resources

Perspectives Video: Professional/Enthusiast

Name Description
Building Scale Models to Solve an Archaeological Mystery:

An archaeologist describes how mathematics can help prove a theory about mysterious prehistoric structures called shell rings.



Printed On:11/26/2022 4:12:51 PM
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