Curated OER
Proportional Reasoning: Ratio Applications
In this ratio applications worksheet, 8th graders solve and complete 24 various types of problems that include proportional reasoning. First, they solve each pair of similar figures for the given variable. Then, students write and solve...
Curated OER
Reaction Kinetics and Rate Laws
In this reaction kinetics activity, students draw a graph of energy vs. reaction progress and determine the factors which change the speed of a reaction. Students learn about rate laws. This activity has 1 graph, 15 fill in the blanks,...
Curated OER
The Smart Son
Grab your youngsters' attention by reading the poem, "Smart" by Shel Silverstein. The son in the poem was not smart in how he handled his money. Mathematics whizzes help him out by using ratio problems to re-calculate his money exchange....
Curated OER
Family Letter - Foreign Currency and Exchange Rates: Proportions and Ratios
In this proportions and ratios learning exercise, students solve 6 short answer problems. Students find the foreign currency exchange rates for six countries. Students express the exchange rate as a proportion or ratio.
Curated OER
Ratio and Proportion
In this ratio and proportion worksheet, students read problems and solve proportion problems. They determine the best buy and identify the ratio of different sized polygons. This four-page worksheet contains 7 multi-step problems....
Illustrative Mathematics
Running at a Constant Speed
The learner must use the given constant speed to find the unit rate. A table is made in order to relate the speed to the time and the distance. From the table, learners are able to see the unit rate in miles per minute and miles per...
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
DVD Profits, Variation 1
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
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
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
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...
Gfletchy
The Clapper
Give a round of applause for completing the task. Scholars watch a video that shows an extremely fast clapper and a timer. The activity requires applying concepts of rates and proportional reasoning to estimate the number of claps in one...
Curated OER
Applications Using Rational Equations
Algebra learners explore the concept of writing equations using rational expressions. This work sheet contains a number of word problems including reciprocal number problems, work problems, and problems can that be solved using...
Curated OER
Carbon 14 Dating in Practice II
Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.
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...
Curated OER
Rational Equations and Proportions
In this rational equations worksheet, students solve and complete 11 various types of problems. First, they find a number that is the reciprocal of one described in each statement. Then, students solve for the variable in each expression.
Curated OER
Ten Multiple-Choice Rate, Ratio, and Proportion Problems
In this rate, ratio, and proportion worksheet, 7th graders solve ten multiple-choice problems. The solutions are provided by clicking on the "show answers" on the bottom of the page.
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
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...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
PHET
Unit Rates
Sometimes you just want to know the cost of one apple. A fun interactive lets learners explore the unit costs of fruits, vegetables, and candy. It shows how ratios to express ratios symbolically and on a double number line.
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...
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...