Illustrative Mathematics
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
EngageNY
From Ratios to Rates
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson is the 16th in a...
Scholastic
Study Jams! Rate
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
Raytheon
Ratios and Rates
Here is a ratios, rates, and proportions worksheet which invites learners to solve word problems dealing with ratios, rates, and proportions. They complete 26 problems total.
Illustrative Mathematics
Price per Pound and Pounds per Dollar
Help learners understand the concept of unit rate as it is applied to buying beans at a grocery store. The objective is to determine the unit rate in two ways, and then apply each ratio to an additional problem. The attached commentary...
PBS
The Lowdown — Living Wages in CA: Ratio and Rate in the Real World
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
PBS
Real-World Ratio and Rate Reasoning: How to Power the Skate Park
Bring on the lights! Using an interactive, characters try to figure out how to light a skate park by examining area and ratios to determine the number of solar panels needed to power them. Pupils design a house with a roof to hold solar...
EngageNY
Ratios and Unit Rates
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
Waterloo Mathematics
Number Sense and Numeration: Ratio and Rate
Seventh-graders solve 20 various types of problems related to ratio and rate. They write ratios in simplest form for each given statement, to compare the area of two figures, and write two ratios equivalent to each ratio. Pupils express...
Curated OER
Introducing the Concept: Rates
Sixth graders explore rates as a specific type of ratio, using visual examples of unit rates and unit prices to increase comprehension. They also practice solving problems that are modeled by the instructor. The well-scripted lesson is...
Illustrative Mathematics
Track Practice
And they're off! While two runners are at track practice, your mathematicians' job is to find out who leaves the other in the dust. The activity provides a variety of data that can be computed into unit rates for comparisons. Available...
Curated OER
How Fast is Usain Bolt?
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner.
Utah Education Network (UEN)
Ratio Relations
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
Curated OER
Horatio's Ratios
View a PBS video entitled Horatio's Drive and explore Horatio's Ratios. Collaborative learners form groups to use Mapquest to determine distances covered. They generate the mathematical averages, ratios, and rates in order to calculate...
Illustrative Mathematics
Molly's Run, Assessment Variation
Part of as assessment series, the activity follows the lesson Molly's Run to practice ratios and dividing with fractions. Different solution options are given for your learners' preference. The commentary explains how the...
Math Worksheets Land
Holiday Ratios
Add some holiday cheer to your math lessons with this problem-solving instructional activity. From problems comparing the number of ears and legs of Santa's reindeer, to finding the ratio of colored lights on a Christmas...
PHET
Unit Rates
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
EngageNY
From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
Neufeld Learning Systems
Concept: Ratios and Proportions
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Curated OER
Basic Skills: Unit Rates
In this unit rates worksheet, students determine the unit rate of given data. This three-page worksheet contains 20 problems. Answers are provided on the last page of the worksheet.
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