Illustrative Mathematics
Molly's Run
A simple lesson with a lot of support behind it. Your learners will find out how long it takes Molly to run a mile by choosing their solution method. The activity can be used as a lesson or as an independent assignment. Preface with...
Balanced Assessment
At the Supermarket
Grocery managers and chefs sure use lots of math. Scholars first use ratios and unit rates to determine a price for a can of corn. Once individuals have the pricing, they determine the amount of ingredients necessary to make brownies...
PHET
Proportion Playground
Ratios are all around you. A fun interactive has scholars investigate ratios and proportions in different situations. These include creating bracelets with different ratios of beads, mixing paint, adjusting the length and width of a...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
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...
Illustrative Mathematics
Buying Protein Bars and Magazines
Packing for a trip? This activity allows learners to decide how many magazines and protein bars they can buy with twenty dollars. They can organize their work in a chart to track how many items they can purchase. There are two different...
Curated OER
Loan Amortization - Mortgage
Upper graders explore the connection between interest and principal. They use an amortization schedule to determine the amount of principal paid vs interest on a $100,000 home loan. Fourteen discussion questions and a research-based...
101 Questions
Print Job
A watched printer never finishes—or does it? Engage your classes in a ratio and proportion task that asks them to predict how long it takes to print the numbers one through 88 on 88 sheets of paper. They use video to determine the rate...
California Mathematics Project
Meteorology
See how estimation is essential to making temperature weather maps. Scholars use ratios and rates of change to estimate temperatures at locations where temperature readings have not been made. They connect this idea to linear functions.
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
101 Questions
Finals Week
What energy drinks have the highest concentration of caffeine? Pupils compare five energy drinks with different amounts of caffeine and different volumes. They must solve the ratios to understand the differences. An extension compares...
101 Questions
Gas Station Ripoff
Ever wonder if you can trust the pump that pumps your gas? Budding mathematicians use video evidence to analyze the cost-per-gallon ratio at different intervals for three different pumps. Their goal is to identify the pump that is...
Utah Education Network (UEN)
Analyze Proportional Relationships and Use Them to Solve Real-World Problems
What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...
101 Questions
Shipping Routes
The product of the hard work is learning. Scholars use a simulation tool to collect information to analyze. They must decide when two ships traveling back and forth across a river at different rates will meet on the same side. The intent...
101 Questions
Bean Counting
Don't spill the beans ... before the end of the lesson! Learners must predict how long it takes two people working together to fill a glass with beans. A video presents the rate it takes each person independently, and another video...
101 Questions
Thanksgiving Taters
What would a meal be without the taters? The question is, how long does it take to peel those potatoes? Given the rate of peeling one potato, scholars predict the time it takes to peel the bag. The twist is that the first potato was...
Gfletchy
Rope Jumper
Jump at the chance to use the idea of rates. Young mathematicians watch part of a clip of a Japanese TV show where a contestant jumps rope as fast as possible. They use the data for the number of jumps and the number of seconds shown in...
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...
PBS
Soul Food Junkies: Portions
Serve up a rate of percents. The Math at the Core resource investigates the percent of daily value of sodium and saturated fats in different foods. Pupils determine the number of serving sizes they eat of popular snack foods and...
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...
PBS
The Lowdown — What You Need to Know about Immigration Reform
We're all from somewhere. An informative interactive provides information on immigration, foreign-born residents, and deportations. Pupils interpret the graphics to analyze how these quantities have changed over time. The resource is...
Curated OER
How Does Your (Coral) Garden Grow?
Analyze and graph oxygen isotope ratios in coral samples in relation to the distance from the outer skeleton edge. Compare the data to the mean monthly water temperatures. Uncover whether or not there is any correlation. In addition to...
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