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...
EngageNY
Unit Rate as the Constant of Proportionality
What do unit rates and constants of proportionality have in common? The lesson plan addresses this question and introduces the concept of constant proportionality to the class. Individuals find that the unit rate and the constant of...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs
Graph a relationship to find out if it is proportional. The instructional activity introduces the criteria for determining whether a relationship is a proportional relationship based on its graph. Pupils graph relationships and determine...
EngageNY
Equations of Graphs of Proportional Relationships Involving Fractions
The 15th segment in a series of 22 uses examples that present proportional relationships with fractions. Pupils work through the problems and discover that the process is the same as it is with whole number values. Graphing the...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Curated OER
Sore Throats, Variation 1
Why does Nia's water taste saltier than Trey's if she put more into her cup than he did? Math masters set up proportions in order to compare the mixtures. This task effectively has learners apply the concepts of ratio and proportion to a...
Curated OER
7.RP Music Companies, Variation 2
Real-world multiple-step proportion problems are sometimes hard to find for your math class. Here is one designed specifically to meet that need. Learners use proportional relationships to determine price per share in the acquisition of...
Arcademics
Dirt Bike Proportions
Dirt Bike Proportions is a multi-player racing game that allows students from anywhere in the world to race one another while completing equivalent proportions!
Corbett Maths
Direct Proportion
Direct change by finding the constant. Using two known values within a direct proportion, the resource shows how to find the constant of proportionality. Once individuals do that, they then find any value given the other. The video works...
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...
Common Core Sheets
Finding Amounts with Proportional Relationship
Challenging worksheets to drill your mathematicians as they crunch numbers to find the proportional relationship using fractions.
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
Developing the Concept: Proportions
Students solve problems with proportions. In this proportions lesson, students solve word problems as they learn about how to set up formulas for solving proportions. Students then solve problems using proportions.
Curated OER
Ratio and Proportion: Basic Operations and Applications
Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page worksheet contains six multi-step problems.
Curated OER
Using Proportions to Solve Problems
Skittles and math? Pupils will work as a class to determine how many orange Skittles are in a large bag by using proportions. They will problem solve, estimate, and share their thinking. Then, they will each receive a small bag of...
Curated OER
A Proportional Fish Story
In this proportions instructional activity, students identify and complete 8 different problems that include using proportions to build scale models of various animals. First, they use the scale to complete the chart and draw lines...
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
Introducing the Concept: Proportions
Students measure distances. In this proportions lesson, students use a map to find how far it is between different cities. Students use their knowledge of measurement, multiplication and fractions to find the distances.
Mathalicious
On Your Mark
With many factors leading to a great athlete, does height make Usain Bolt unfairly fast? Middle schoolers conduct analysis to change the running distance of the Olympic races to be proportional to the height of the participants. They...
Curated OER
Proportions
In this proportions activity, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
Curated OER
Proportional Taxes
Students are able to define and give an example of a proportional tax and the impact that it can have on different income groups and explain how a proportional tax takes the same percentage from all tax groups.
Primary Resources
Ratio and Proportion
A great way to practice ratio and proportion problems. There are three word problems that set the stage, images and table help learners see how each problem is solved. A very useful tool when introducing or reviewing proportions and ratios.
Curated OER
Ratios and Proportions Word Problem Worksheet
In this ratios and proportions worksheet, students solve 7 word problems. They are given the ratio in each problem so that they can apply it when solving the problem.
Mathematics Assessment Project
Classifying Proportion and Non-Proportion Situations
Proportions, proportions, everywhere. Class members complete an assessment task solving problems involving proportionality. They then complete an activity classifying given situations as proportional or non-proportional.
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