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...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
Curated OER
How Fast is Usain Bolt?
Revisit the 2012 Summer Olympics by having seventh graders calculate the unit rate sprinting speed of the 100-meter gold medal winner.
National Security Agency
Partying with Proportions and Percents
Examine ratios and proportions in several real-world scenarios. Children will calculate unit rates, work with proportions and percentages as they plan a party, purchase produce, and take a tally. This lesson plan recommends five...
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this instructional activity on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a instructional activity that compares the use of internal combustion engines to hybrid...
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...
Neufeld Learning Systems
Concept: Ratios and Proportions
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...
Curated OER
Solving Problems and Proportions
In this proportion worksheet, learners read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
Illustrative Mathematics
Art Class, Assessment Variation
Play with paint and decide the ratio to make different shades of green. When mixing paint colors, your painters should decide which ratios make the same shade and what is needed to mix other ratios for a different shade of green. This is...
Curated OER
Proportions and Scale Factor for Measurement
Learners explore the concept of proportion. In this proportion lesson, students use google maps to find the distance the their school is from home. Learners discuss what a scale factor is through teacher led discussion. Students...
Curated OER
Algebra 1: Slope as Rate
Learners solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
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...
Curated OER
Shots, Standings, and Shopping
Rates and ratios can easily be applied to real-world situations. Learners explore a series of websites in order to procure comparable data. They define ratios and rates, view videos, and use the internet to explore how ratios and rates...
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...
EngageNY
Ratios of Fractions and Their Unit Rates 2
Remodeling projects require more than just a good design — they involve complex fractions, too. To determine whether a tiling project will fit within a given budget pupils calculate the square footage to determine the number of tiles...
Curated OER
All About Ratios
Students investigate the use of multiplication and division of whole numbers to solve problems including equivalent ratios and rates.
Curated OER
Dragonfly
The speed of a dragonfly brings math into the real world as your learners collaboratively see the value in calculating unit rates in direct proportion problems. This six-phase lesson encourages you, as the teacher, to only ask questions...
Curated OER
Ratios, Rates, Percent and Nutrition
Examine food labels to determine percentage of fat and sugar to total calories with middle schoolers. Daily nutritional guidelines are discussed and learners will decide how well their foods fit into a healthy diet. In the provided...
Curated OER
Word Problems Dealing with Ratio and Proportion
Mindful middle-schoolers read and solve a number of word problems. Learners copy and discuss what they believe their strategies are in solving each problem. They also write their findings and share with the rest of the class.
Curated OER
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. For this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Bowland
Water Availability
Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...
Curated OER
Ratios, Proportions, and Cross-multiplication
Students use cross-multiplication to find the unknown respiration rate of an astronaut. In this multiplication lesson plan, students also use the same process to find missing values in proportions.
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...
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...