Illustrative Mathematics
Art Class, Assessment Variation
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
Curated OER
Sore Throats, Variation 1
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
101 Questions
Banana Bread Baker
You don't want to be short bananas when making bread. Scholars use their math skills to make sure there are enough bananas to go around. Using measurements given in a recipe, they must determine how many bananas they need to increase the...
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...
101 Questions
Binder Clips: Large, Medium, Small
Ever wondered how many pieces of paper a binder clip can hold? Viewers of a short video are about to find out! Given measurement data for three different sized binder clips, learners must develop a method for figuring out how many pieces...
PBS
Human Tree: Ratios
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
PBS
Real-World Proportional Relationships: Gender Wage Gap
When will the gender wage gap disappear? Scholars use a provided infographic to see trends in wage gap over time. They use ratios of women's wages to men's wages to determine which decades had the greatest change in the wage gap. The...
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...
PBS
Scale City — Proportional Relationships in the Real World
Strive to determine your stride. Scholars first view an informative video on the Kentucky Horse Park and the 28-feet stride of the Man o' War. They then work together in groups to find the length of their own strides by using the number...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
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...
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
Gas Light
You don't want to leave any learners stranded! Explore ratios using an analysis of gas mileage and distance. Given a scenario, individuals must determine if a car has enough gas to make it to the next gas stop.
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...
Curated OER
Art Class, Variation 2
Given a set of six paint mix ratios, artistic mathematicians produce an equation that relates the number of parts for blue paint to parts for yellow paint resulting new shades of green.
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...
101 Questions
Nana's Chocolate Milk
Nobody wants to make Nana mad! Help Mr. Meyer fix the chocolate milk he prepared for his Nana using too many scoops of chocolate. Youngsters develop a problem-solving strategy that leads to the solution using ratios and proportions.
101 Questions
Print Job
A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...
Illustrative Mathematics
Robot Races
Analyze data on a graph to answer three questions after a robot race. Learners practice comparing ratios and reading points on a graph. Answers may vary on the last question based on accuracy of graphing. Use the lesson along with...
Illustrative Mathematics
Two-School Dance
Who's ready for the dance? When two middle schools combine for a dance, your learners' job is to calculate the ratio of girls attending. Provided with three different solutions, you can choose from setting up a ratio, linear equation, or...
101 Questions
Nana's Paint Mixup
You would probably do anything for your Nana, including fixing her mistakes! Nana provided the wrong ratio to mix red and white paint, and she didn't realize it until after she mixed the paint. Your class now needs to figure out how to...
Noyce Foundation
Measuring Up
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
101 Questions
Finals Week
What energy drinks have the highest concentration of caffeine? Pupils compare five energy drinks with different amounts of caffeine and different volumes. They must solve the ratios to understand the differences. An extension compares...
101 Questions
Ants Marching
Your classroom will be rockin' during an toe-tapping lesson! Dave Matthews inspires a lesson on proportions as youth listen to a song and predict its length. Lesson materials provide learners with ordered pairs that mark the time slider...