Lesson Plan
EngageNY

From Ratios to Rates

For Teachers 6th Standards
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...
Lesson Plan
EngageNY

Ratios of Fractions and Their Unit Rates 2

For Teachers 7th Standards
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of...
Lesson Plan
EngageNY

Unit Rate as the Constant of Proportionality

For Teachers 7th Standards
What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...
Lesson Plan
EngageNY

The Unit Rate as the Scale Factor

For Teachers 7th Standards
Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...
Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions II

For Teachers 6th Standards
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
Lesson Plan
EngageNY

Comparison Shopping—Unit Price and Related Measurement Conversions

For Students 6th Standards
Speed up your scholars' understanding of ratios. Class members compare ratios related with speeds presented in different representations. They then use the unit rates to make the comparisons. 
Lesson Plan
Illustrative Mathematics

Price per Pound and Pounds per Dollar

For Teachers 5th - 7th Standards
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...
Lesson Plan
Curated OER

How Fast is Usain Bolt?

For Teachers 6th - 8th Standards
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner. 
Lesson Plan
EngageNY

Problem Solving Using Rates, Unit Rates, and Conversions

For Teachers 6th Standards
Find a way to work with rates. The 23rd part in a 29-part series presents work problems for the class to solve given work rates. Pupils compare rates to determine which is faster. Some problems require learners to convert the rates to...
Lesson Plan
Curated OER

Dragonfly

For Teachers 7th Standards
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
Lesson Plan
Curated OER

Ratios, Unit Rates, and Proportions

For Teachers 6th - 8th
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...
Lesson Plan
EngageNY

From Rates to Ratios

For Teachers 6th Standards
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....
Lesson Plan
Illustrative Mathematics

The Escalator, Assessment Variation

For Teachers 5th - 7th Standards
A great way to practice with unit rates, the activity gives your mathematicians an opportunity to compare different statements and select which are true. They can practice with "choose all that apply" by setting each statement into its...
Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
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...
Lesson Plan
Illustrative Mathematics

Track Practice

For Teachers 6th - 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Cooking with the Whole Cup

For Teachers 6th - 7th Standards
Whoops! Travis accidentally put too much butter into the recipe. Your bakers must find out how to alter the recipe to accommodate different changes by using unit rates and ratios . The activity has multiple parts and calculations with...
Lesson Plan
EngageNY

Getting the Job Done—Speed, Work, and Measurement Units

For Teachers 6th Standards
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity,...
Lesson Plan
Illustrative Mathematics

Running at a Constant Speed

For Teachers 5th - 7th Standards
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
Lesson Plan
Curated OER

Equations from Unit Rates

For Teachers 7th - 10th
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
Lesson Plan
Curated OER

Introducing the Concept: Rates

For Teachers 5th - 6th
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...
Lesson Plan
Illustrative Mathematics

Currency Exchange

For Teachers 5th - 7th Standards
Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...
Lesson Plan
EngageNY

Finding a Rate by Dividing Two Quantities

For Teachers 6th Standards
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...
Lesson Plan
Curated OER

Unit Rates

For Teachers 9th - 10th
Students calculate unit rates with fractions and whole numbers. In this algebra lesson, students compare numbers, perform long division, and calculate the rate of different units through conversions. They model some of the problems as...
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...