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...
Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
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...
Curated OER
7.RP Music Companies, Variation 2
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Mathalicious
Been Caught Stealing
You're safe, when calculating the odds of stealing second base! Learners compare the rate of a runner to the distance the ball travels, in a instructional activity that explores right triangles and measurement. Full of discussion...
PwC Financial Literacy
Buying a Home: Terms of a Mortgage
Buying a home, dealing with a lender, securing a mortgage; these are daunting tasks for many adults. Why not teach middle schoolers about this area of adulthood so they are better-prepared to make the leap into home ownership when they...
Illustrative Mathematics
Friends Meeting on Bicycles
It's a great day for a bike ride, but how long will it take? Your learners will have to calculate multiple variables in the problem using scaffolded questioning. Different answer choices are given, but you will need to create the table...
Curated OER
Student Costs Data Table
Young scholars compare and contrast two routes selected for a virtual field trip. They create a data table of educational activities, lodging, and meal costs using Microsoft Excel software.
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Helping with Math
Ratio and Proportion: Rates
Unit rates are introduced to your math minors on this printable worksheet, complete with answers. There are only three problems: the first involves biking speeds, the second the cost of bracelets, and the third the cost of apples....
Curated OER
Pre-Algebra
Seventh graders write with a pencil the conversions of teacher given unit rates with 90% accuracy after being led through several similar examples. They are quizzed on unit ratios after completing their homework assignments.
Curated OER
How Fast is it Traveling?
Learners calculate the rate of speed of various moving objects within the classroom setting, or outside under a controlled environment.
Federal Reserve Bank
It's Your Paycheck
Beyond reading and arithmetic, one of the most important skills for graduating seniors to have is fiscal literacy and responsibility. Start them on the right financial track with nine lessons that focus on a variety of important personal...
Curated OER
Leveled Problem Solving Rates
For this figuring rates practice worksheet, students sharpen their problem solving skills as they solve 6 story problems.
Curated OER
Financial Wizard
Students determine the best way to earn money. In this financial wizard lesson plan, students read a story. They compare different jobs, the rate of pay for each job and the number of hours required to do the job. Students analyze...
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...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing.
Illustrative Mathematics
Sand Under the Swing Set
Help the local elementary school fix their playground by calculating the amount of sand needed near the swing set. The problem practices setting up proportions and ratios with three different options for solving. You can chose the option...
Illustrative Mathematics
Comparing Speeds in Graphs and Equations
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question.
Natinal Math + Science Initative
Slope Investigation
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs and...
National Research Center for Career and Technical Education
Business Management and Administration: Compound Interest - A Millionaire's Best Friend
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
Concord Consortium
People and Places
Graph growth in the US. Given population and area data for the United States for a period of 200 years, class members create graphs to interpret the growth over time. Graphs include population, area, population density, and population...
101 Questions
Speed of Light
How quickly does light travel long distances? A short video simulates light going from the earth to the moon at two different paces. Scholars relate the distance to the rate to understand which simulation is correct.
Illustrative Mathematics
Voting for Three, Variation 1
This is an opportunity for young mathematicians to apply reasoning to solve real-world problems with ratios. Even though there are three candidates for class president, students will only consider two at a time, making the first problem...
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