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
Riding at a Constant Speed, Assessment Variation
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
Illustrative Mathematics
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that takes...
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...
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
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
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...
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...
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
All About Ratios
Students investigate the use of multiplication and division of whole numbers to solve problems including equivalent ratios and rates.
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
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...
Curated OER
60-30-10
Learners use ratios and proportions to represent quantitative relationships as they investigate the concept of how percentages are used by designers. Students decorate the same room using three different percentages of colors.
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...
Curated OER
Jazz and Math: The Beat Goes On
Students collect real data through listening, counting and timing jazz pieces.They use ratios, rates, and proportions to report collected data and demonstrate an understanding of the concepts of rhythm and tempo in music.
Curated OER
PrimeTime Math: Cliffbound!
Pupils are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 2
To solve or not to solve that is the problem. A slide presentation of 17 items show different ways that Smarter Balanced assesses Claim 2, problem solving. The items span from sixth and seventh grade concepts to highlight the...
Illustrative Mathematics
Voting for Two, Variation 2
John won the election, but by how much more? Your learners will calculate how many votes each candidate received in order to determine the difference. Use with other lessons provided in the series to practice different variations of this...
Curated OER
Sizing Up the Supersize Croc
Students examine and compare traits of humans and crocodiles. For this crocodile lesson students use a ratio to estimate the height of a person and compare that to a crocodile.
Curated OER
Mathematics Within: Algebraic Patterns
Students investigate the concept of using proportions to compare quantities while also practicing calculations for foreign exchange rates. They develop the skill of solving for unknown quantities of money while using an algebraic equation.
Curated OER
Prime Time Math
Seventh graders use educational software in order to practice instructional activity objectives. They define rate and ratio. Students solve distance problems given two variables. They also use a problem solving strategy that can be...
Curated OER
MOBILITY, Traveling Lightly: What’s My Footprint?
Students calculate their carbon footprint. In this environmental technology lesson, students listen to a lecture on climate change. Students brainstorm solutions to reduce environmental impact based on travel options. Students calculate...
Curated OER
Water - Planning for the Future
Students explore and examine the increases and/or decreases for water user groups: irrigation, municipal, manufacturing, steam electric power generation cooling, livestock, and mining. They utilize percentage changes during their...