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
Bagel Algebra
Ninth graders apply proportional reasoning to a real-life situation. In this Algebra I lesson, 9th graders explore a series of equations that relate to a display sign that compares the owner’s bagels to competitors bagels. ...
Curated OER
Savings Planning Using Tables, Line Graphs and Early Proportionality
Students use proportional reasoning to make a chart of daily savings transactions and balances. In this accounting lesson, students read word problems and complete three handouts about a bidding and accounting problem. Students finish...
Curated OER
Proportionality Using Wind in the Willows
Students examine proportionality in Wind in the Willows by comparing Mr. Toad, objects proportional to him and objects proportional to humans. They then measure a stuffed Mr. Toad and make common objects proportional to Mr. Toad???s...
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....
EngageNY
End-of-Module Assessment Task: Grade 7 Mathematics Module 4
Asses the class to determine their knowledge of proportional relationships involving percents. Class members work through the nine-question assessment with a variety of percent problems. The multi-step problems involve simple interest,...
Skills Workshop
Ratio, Scale, and Proportion
Converting units is an excellent example of how math relates to our everyday tasks. The resource prompts mathematicians to use baking, cooking, and other daily activities to discover how to make larger quantities of...
PBS
Scale City — Inverse Proportions and Shadows in the Real World
Bring the resource out from the shadows. Viewers of a short video learn about drive-in theaters and how operators project images onto a large screen. They then perform an experiment to determine the relationship between the distance of...
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...
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
The Distance Formula and Marching Nonviolently for Social Change
Students explore the distance formula using real world data from nonviolent marches for social change. In this secondary mathematics lesson, students investigate the marches of Gandhi and King using maps overlaid with a coordinate...
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit...
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
Curated OER
Ratio and Proportion: Proportional Ratios
In this ratios worksheet, students write yes or no for if the ratios given are proportional or not. Students complete 7 number problems and 5 money problems.
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
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
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...
Illustrative Mathematics
Find the Change
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...
Illustrative Mathematics
Buying Bananas, Assessment Version
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
Flipped Math
Calculus AB/BC - Modeling Situations with Differential Equations
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...
National Research Center for Career and Technical Education
Salads
Lettuce talk for a moment about your culinary scholars; do they have what it takes to create a great salad? Show them the finer points of salad preparation with a career and technology lesson that combines direct instruction, creativity,...
Curated OER
The Right Ratio of Rest: Proportional Reasoning
Students see how NASA scientists are studying the circadian timing system to improve astronaut's physical and mental tasks while working in space. They demonstrate how fractions, decimals, and percents are related.
Curated OER
Planets in Proportion
Students apply estimation strategies and proportional reasoning to determine a scale comparing the planetary bodies to Earth. They convert measurements of time and distance using scientific notation. Both the metric and customary units...