EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Newspaper Association of America
By the Numbers: Mathematical Connections in Newspapers for Middle-Grade Students
A cross-curricular resource teaches and reinforces mathematical concepts with several activities that use parts of a newspaper. Scholars use scavenger hunts to find the different ways math is used in the paper along with using data...
Curated OER
Candy Machine
Using the concept of a candy vending machine, young mathematicians explore the sugar ratios found in different types of candy. Using the provided information, class members calculate and compare different ratios in...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 3
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Balanced Assessment
Scale Charts
Develop scales using tables. Pupils complete charts to show equivalent scale factors before using the completed tables to determine the sizes of scale drawings. They finish the lesson and demonstrate their understanding by completing a...
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...
Balanced Assessment
At the Supermarket
Grocery managers and chefs sure use lots of math. Scholars first use ratios and unit rates to determine a price for a can of corn. Once individuals have the pricing, they determine the amount of ingredients necessary to make brownies...
Curated OER
Lunch Food? Mmmm! Mmmm! Good!
Examine how nutrition plays an important role in our lives by conducting online research and developing lunch menus that satisfy nutritional requirements set up by the United States Department of Agriculture. Students download recipes,...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Target A
How do you know if your pupils have a deep understanding of proportional relationships? Assessment is key! A helpful series starts with questions on proportional relationships modeled after the Smarter Balanced Assessment items....
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...
EngageNY
Computing Actual Areas from a Scale Drawing
Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...
Pace University
Grades 7-8 Solving Equations
Create a similar blueprint. The differentiated instructional activity has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final...
Scholastic
Study Jams! Similar Figures
Discover how triangles are congruent based on their sides, angles, and proportionality. Learners explore the ways to determine similarity at their own pace, and then they practice afterwards with an assessment.
PBS
Math with Jake: Frequencies and Pitch
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
Gfletchy
Thumbs on Fire
How fast are those thumbs? Pupils view a short video showing a person typing out a text message in a speed challenge. They use the information they can glean from the video to estimate the number of seconds it will take to completely...
EngageNY
How Far Away Is the Moon?
Does the space shuttle have an odometer? Maybe, but all that is needed to determine the distance to the moon is a little geometry! The lesson asks scholars to sketch the relationship of the Earth and moon using shadows of an eclipse....
Radford University
Filling Up a Swimming Pool Task
Swimming pools are no fun without water. For a pool in the shape of a trapezoidal prism, scholars first calculate the amount of water needed to fill the pool. They use experimental data on water flow to determine whether to haul water...
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
PHET
Equality Explorer: Basics
Not all interactives are made equal. Scholars use an interactive balance to explore the concept of equality. They place different objects on balances to determine the number of each object needed to balance the scale.
Curated OER
Applying Proportionality in Scale Drawings
Sixth graders examine a blue print and discuss the reasoning behind using blue prints. In this proportionality lesson, students collaborate with their teammates to create a scale drawing. Once that is complete, 6th graders write a...
Curated OER
Solving Equations Using Two Operations
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results.