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
Proportionality, Ratios and Constant Variation
Students use Scion Image to estimate the proportion of space images. In this proportion lesson, students investigate the online site of Image of the Orbitor and relate the dimensions and sizes to known sizes.
Curated OER
How Many Noses Are in Your Arm?
Middle schoolers apply concept of ratio and proportion to determine length of Statue of Liberty's torch-bearing arm. They view video of Statue of Liberty, determine how long statue's arm would be if its nose measures four feet six...
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
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.
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...
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...
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...
Curated OER
Get Geared Up
Middle schoolers calculate gear ratio as they solve word problems. They discuss and find slopes as they relate to real life. Additionally, they hey use ratio and proportion to make predictions and solve problems.
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...
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...
NTTI
If You Hopped Like a Frog
Get your frogs hopping by introducing them to the concepts of ratio and proportion. As a class, they perform arithmetic operations using ratios then discover how they represent quantitative relationships. In groups, they write their own...
Mathematics TEKS Toolkit
Am I Related to Myself?
Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...
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
What's My Ratio?
Students investigate ratios of various objects. For this ratios of various objects lesson, students draw pictures on graph paper and then dilate or shrink the image. Students determine the ratio of their pictures. ...
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.
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...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry lesson plan, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
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.
Curated OER
Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
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
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.