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
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target C
Target C from the Smarter Balanced assessment for eighth grade is understanding the connections between proportional relationships, lines, and linear equations. A slide show includes items about graphing proportional relationships and...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Mathed Up!
Direct and Inverse Proportionality
Direct your young mathematicians to a resource on direct and inverse variation. A video first reviews concepts on direct and inverse proportionality. Individuals then answer a set of questions in pure and applied mathematics involving...
Mathematics Assessment Project
A Golden Crown?
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
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Pedal Power
Employ proportional reasoning and algebraic understanding to a determine a real world math quandary. Intel has created a project based unit to engage learners in using algebra to describe the physical world. They will create equations,...
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Size It Up: Map Skills
Compare information from a US population cartogram and a standard US map. Learners draw conclusions about population density by analyzing census data a population distribution. They discover that census data is used to apportion seats in...
Curated OER
A Proportional Fish Story
In this proportions worksheet, students identify and complete 8 different problems that include using proportions to build scale models of various animals. First, they use the scale to complete the chart and draw lines representing the...
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The Distance Formula and Marching Nonviolently for Social Change
Learners explore the distance formula using real world data from nonviolent marches for social change. For this secondary mathematics lesson, students investigate the marches of Gandhi and King using maps overlaid with a coordinate...
Curated OER
Set Design
Students explore proportional reasoning. In this middle school mathematics lesson students investigate scale drawings as they create a proportional representation for the carvings on Mt. Rushmore.
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Blazing the Trail
Learning about proportions through measuring and mapping distances is the focus of this real-world math lesson that doubles as an activity. Mathematicians complete a course designed to measure and map locations in order to put the...
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
Counting Blood Cells
Students observe number sense by participating in an estimation activity. For this blood cells lesson, students identify the importance of blood cells in the human body and discuss how tiny they are. Students utilize paper dots as a...
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. Students...
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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.
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Sample Spaces
In this sample spaces instructional activity, 9th graders solve 10 different word problems that include sample spaces in each. First, they toss a coin and roll a die listing the sample spaces for each. Then, students flip one coin and...
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Direct Variation
In this direct variation worksheet, 11th graders solve 11 different problems that include applying direct variation to solve. First, they find the constant of the variation described. Then, students use the charts at the bottom of the...
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Direct and Inverse Variation
In this direct and inverse variation worksheet, 9th graders solve 10 different problems that include various situations in variations. First, they find the constant of proportionality when given each variable measure. Then, students...
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Right Triangles
In this right triangles activity, 10th graders solve 10 different problems that include determining the means proportionally in each right triangle. First, they use the given information to determine the measure of each line segment....
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Regression Analysis
In this regression analysis activity, 9th graders solve 10 different word problems related to regression analysis. First, they use the information given to find a suitable function to model the data. Then, students use the model to...
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Similar Triangles
In this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are proportional....
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Setting Up Equations
For this setting up equations worksheet, students solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students...
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Identifying Similar Triangles
In this identifying similar triangles worksheet, 10th graders solve 6 different types of problem that include identifying and comparing similar triangles. First, they identify the three ways that determine whether two triangles are...