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...
Curated OER
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science...
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...
Mathalicious
On Your Mark
With many factors leading to a great athlete, does height make Usain Bolt unfairly fast? Middle schoolers conduct analysis to change the running distance of the Olympic races to be proportional to the height of the participants. They...
Concord Consortium
Hockey Pucks
Package design is a mathematical task for any business. Young scholars use a package design to determine the number of packages required for specific shipments. Using ratios, proportions, and fractions, they make decisions about the best...
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Balanced Assessment
Egyptian Statue
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
Curated OER
The American Flag-Basic Ratios and Proportions
Students solve problems with ratios and proportions. In this algebra lesson,students apply the concept of ratios and proportions to the real world.
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...
Curated OER
The Golden Ratio
Students solve problems using ratios and proportions. For this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
Curated OER
Relative Ratios
Students discover that proportions are made up of equal ratios each containing the same building blocks. They, using the Internet, apply their knowledge of direct relationships and proportions to problems in planetary science.
Curated OER
Mixing Up Ratios
Students solve problems of ratio and proportions using hands on. In this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.
Utah Education Network (UEN)
Linear Graphs Using Proportions and Rates
Using a TI-73 or other similar graphing calculator middle school math majors investigate the linear relationship of equivalent proportions. After a brief introduction by the teacher, class members participate in a timed pair share...
EngageNY
Making Scale Drawings Using the Ratio Method
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements.
101 Questions
Shower v. Bath
Which requires more water--a bath or a shower? Given some specific criteria, learners attempt to answer the question. A video shows how long it takes to fill a gallon container using a faucet and a shower head. Using that information and...
Berkshire Museum
Adopt a Schoolyard Tree
Help young scientists connect with nature and learn about trees with a fun life science lesson. Heading out into the school yard, children choose a tree to adopt, taking measurements, writing descriptions, and drawing sketches of it in...
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
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...
Curated OER
Ratios of Similar Figures
Students identify the ratios of different triangles. In this geometry lesson, students identify the similarity and differences of triangles. They use the navigator to move the sides of the triangle around.
Curated OER
Similar Triangles and Proportions
Pupils investigate similar triangles and proportions as they make conjectures about the length of sides of similar triangles. For this lesson, have your class construct similar triangles using Cabri Jr so that they share a common vertex.
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...
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.