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
Sled Kite Proportions
Students build sled kites. in this kite building lesson, students must read directions for kite building and enlarge the proportions of the given kite pattern. Students focus on the angles and line of symmetry in their kite.
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.
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...
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...
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...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...
Curated OER
Rolling Balls: Mass and Kinetic Energy
Young scholars identify the relationship between kinetic energy, mass, and velocity. Then they explain and graph the relationship between kinetic energy and mass. Students also predict the impact of objects of different mass and...
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
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...
Noyce Foundation
Truffles
Knowing how to scale a recipe is an important skill. Young mathematicians determine the amount of ingredients they need to make a certain number of truffles when given a recipe. They determine a relationship between ingredients given a...
Illustrative Mathematics
Sale!
Everyone loves a sale, and this worksheet allows learners to calculate which sale is more rewarding. The activity can be adapted for different thinking contexts. The answer key describes different answer choices, some being higher...
Illustrative Mathematics
Buying Protein Bars and Magazines
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Illustrative Mathematics
Security Camera
A different-than-normal problem that allows learners to practice their reasoning to find an answer. The problem bases itself off a graph drawing of a store that needs to install security cameras. The challenge is to find which placement...
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...
Curated OER
Ratio and Proportion: Write and Interpret
In this ratio and proportion worksheet, students explore example problems. Afterwards, they read story problems and use ratios and proportions to find the solution. This three-page worksheet contains six multi-step problems,
Curated OER
Proportions a/b=c/d
Students calculate distance and proportion of objects. In this algebra instructional activity, students define proportion and how it is used in math. They solve the problem through guided instruction.
Curated OER
Equations from Unit Rates
Your class can become linear equations masters, as they calculate the rate of change of a function. They observe different types of coordinates as they relate to a graph, then use the Ti-navigator to move the line around and draw...
Curated OER
One Size Fits All, Part 1
Can you tell how tall someone is just by looking at their feet? In this activity, young mathematicians measure their height, arm span, and foot size, graph their findings, and answer questions about how these measurements are related....
Florida Center for Instructional Technology
Integrating Mathematics into Literature
You class will read Cucumber Soup by Vickie Leigh Krudwig as an anticipatory set for this activity on ratios. They make models of the insects in the story and then use them as a source of data for this ratio and proportion activity. This...
Bowels Physics
Direct and Inverse Relationships
Viewers learn to recognize direct and inverse relationships in the world of physics with a presentation that reveals how to recognize a direct versus an inverse relationship from a formula or graph. After showing basic examples, the...
EngageNY
Margin of Error When Estimating a Population Proportion (part 1)
Use the power of mathematics to find the number of red chips in a bag — it's a little like magic! The activity asks learners to collect data to determine the percentage of red chips in a bag. They calculate the margin of error and...
EngageNY
Similarity and the Angle Bisector Theorem
Identifying and verifying reproducible patterns in mathematics is an essential skill. Mathematicians identify the relationship of sides when an angle is bisected in a triangle. Once the pupils determine the relationship, they prove it to...
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...