Curated OER
Proportional Segments Between Parallel Lines
Students identify similar triangles. For this proportional segments lesson, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle. They use the parallel/proportionality...
Curated OER
Recipes and Ratios
Students use ratio and proportions to adjust recipe size. In this middle school mathematics instructional activity, students investigate Native American food and adjust the recipe size for said foods to the number of servings...
Curated OER
Are You a Golden Ratio?
Students explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
Curated OER
PrimeTime Math: Cliffbound!
Young scholars are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
Curated OER
"How Divine Is My Proportion?"
Eighth graders explore the concept of the divine proportion/golden ratio. In this Fibonacci Sequence exploratory lesson, 8th graders measure the length and width of various objects to see which items have a divine proportion. Students...
Curated OER
Dried Meat
Learners investigate the traditional method of drying meat used by Native Americans. They apply math concepts such as ratio, proportion, percent, and scientific notation to determine the amount of meat the is dried from an animal using...
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...
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...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different...
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...
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
Our Solar System - Comparing Planetary Travel Distances
NASA presents a mini-unit on distances in our solar system. It incorporates scientific concepts of gravity, mass, density, and payload while your aspiring astronauts also employ mathematics skills. They calculate speed, they determine...
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...
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Curated OER
Stadiums in America
Let's play ball! A great springtime activity to learn about ratios. This activity challenges learners to draw stadiums to scale on standard letter paper and also on construction paper. This three-day lesson includes a pre-assessment...
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...
Bowland
Water Availability
Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...
Bowland
AstroZoo
Rescue animals in the zoo by applying math concepts. Groups of learners solve three missions involving oxygen, food, and climate control. Each group selects an animal from one of four bio-domes.
Curated OER
Chances Are......You're Right
Young mathematicians study probability. In this math lesson plan, learners calculate odds, and convert those into percentages of probability. Fractions are also used, making this lesson plan quite rich in some of the more difficult...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
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...
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
Curated OER
Rates And Unit Price
In this rates and unit price worksheet, students problem solve and calculate the answers to ten word problems and mathematical equations dealing with ratios, proportion and missing values.
Curated OER
Proportional Problems 1
Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...