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...
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...
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...
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.
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...
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...
Illustrative Mathematics
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
PBS
The Lowdown — Exploring Changing Obesity Rates through Ratios and Graphs
Math and medicine go hand-in-hand. After viewing several infographics on historical adult obesity rates, pupils consider how they have changed over time. They then use percentages to create a new graph and write a list of questions the...
Illustrative Mathematics
The Escalator, Assessment Variation
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...
Illustrative Mathematics
Running at a Constant Speed
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...
Illustrative Mathematics
Cooking with the Whole Cup
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...
Illustrative Mathematics
Voting for Three, Variation 3
Get your learners to think outside the box. Learners require a good understanding of ratios and their relationship to fractions to complete the problem. The only quantities given in the problem are the ratio of the number of votes for...
Curated OER
Stock Swaps, Variation 2
If Microsoft wanted to take over Apple, how many shares would they need to break even? This is an ideal task for seventh graders who are studying proportional relationships and applying them to real-world scenarios. Use it as an...
Illustrative Mathematics
Molly's Run
A simple instructional activity with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a instructional activity or as an...
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
101 Questions
Leaky Faucet
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
101 Questions
Would You like Fries with Your Order?
Ever wonder what you are paying for a single fry at McDonald's? An engaging lesson compares the cost per fry in a small order to a larger order. It's a great application of unit rate that is sure to make your classes hungry for more!
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
Illustrative Mathematics
Currency Exchange
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...
Illustrative Mathematics
Sore Throats, Variation 2
What does math have to do with a sore throat? When you mix water and salt you have a great review of how to represent proportional relationships by an equation or graph. Here the proportions of the mixtures may be different, but the...
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