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...
Mathematics TEKS Toolkit
Am I Related to Myself?
Elementary or middle schoolers use ratios to discover some nearly constant relationships between measurements of parts of the human body. They find and record pairs of measurements and determine the relationship between the pairs. Pupils...
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
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science class....
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school bus!
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
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.
Centre for Innovation in Mathematics Teaching
Ratio and Proportion
Middle schoolers review the definition and rules for equivalent fractions. Additionally, they are introduced to equivalent ratios. They write examples of ratios from the board, and they come to the board to write the correct equivalent...
Curated OER
Study Buddies - Proportions
Middle-schoolers solve various problems related to proportions. They write ratios in word form and then, replace the words with numbers. Pupils also write an equation in which they will cross-multiply to solve the proportion. This is an...
Curated OER
Investigation - The Local Bagel Shop
Sixth graders investigate unit pricing to find which cup of coffee is a better buy. They use ratio and proportions to solve problems involving a change of scale in drawings, maps, recipes, etc. Students determine the unit cost of items...
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
Mathalicious
New-tritional Info
Burning off a Big Mac® doesn't seem like a big feat until you calculate the minutes of exercise necessary to break even. Young mathematicians look at different menu items in relation to different body weights and exercises to calculate...
Curated OER
Measure for Measure
Young mathematicians work to recognize the relationship between their scale models of the Joides research vessel and the real vessel. They calculate the relationships between various parts of the ship using fractions, ratios, and...
Bowland
Reducing Road Accidents
By making the following changes to the roads, we can prevent several accidents. A multiple-day lesson prompts pupils to investigate accidents in a small town. Pairs develop a proposal on what to do to help reduce the number of accidents....
Curated OER
Ratios: Interpreting the Phrase "Out Of"
Learners explore the concept of ratios. They observe a website of Trident Gum that gives a real life example of ratios. Students practice ratio problems in three forms. They express ratios as a proportion and solve proportions using...
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...
Curated OER
Art Class, Variation 1
Student statisticians calculate ratios to determine how many shades of green were mixed by Ms. Baca's art class. They graph the number of blue parts against the number of yellow parts for each combination and discover that some produce...
Bowland
Explorers – Patrol Services
Far out — plan a trip to space! Aspiring mathematicians steer a space vehicle through an asteroid field, calculate currency exchanges to buy provisions, and determine placement of charges to blow up asteroids. Along the way, they learn...
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Florida Center for Instructional Technology
Integrating Mathematics into Literature
You class will read Cucumber Soup by Vickie Leigh Krudwig as an anticipatory set for this lesson on ratios. They make models of the insects in the story and then use them as a source of data for this ratio and proportion lesson. This...
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
Proportionality Using Labyrinths and Mazes
Conduct research on the Internet about labyrinths and mazes to learn about proportions and ratios. Inquisitive minds design their own maze, one maze is chosen and proportionately enlarged to 20 feet by 30 feet. This is a fun challenge...
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...