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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...
Mathematics Assessment Project
Ratios and Proportional Relationships
Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.
Utah Education Network (UEN)
Ch 4: Ratio and Proportion
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
Proportional Relationships
Challenge the class to determine whether two quantities are proportional. The second activity in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the pupils...
EngageNY
Representing Proportional Relationships with Equations 2
Scholars determine how long it takes to build a birdhouse with the second activity on using equations with proportional relationships. The resource uses examples such as birdhouse building and produce prices to encourage pupils to write...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Graphs 2
Work together to find proportional relationships. The sixth portion of the 22-part unit is a collaborative exercise. Teams work with given representations of relationships and determine if they are proportional by creating tables and...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
EngageNY
Representing Proportional Relationships with Equations
Use the constant of proportionality to relate the independent variable to the dependent variable. The eighth installment of a 22-part series instructs pupils to use the equation to find the constant of proportionality and then write the...
EngageNY
Identifying Proportional and Non-Proportional Relationships in Tables 2
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
Having problems with proportions? Then solve these proportion problems with an exercise that asks learners to first individually solve a set of problems involving ratios and proportional reasoning. Groups then discuss provided...
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The...
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...
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...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
EduGAINs
Ratio and Proportion
Do these items have the same ratio? Through a learning contract, pupils master proportions by practicing proportions via word problems, graphs, and with manipulatives. An exit ticket checks for understanding at the end of the...
Illustrative Mathematics
Walk-a-thon 1
Your mathematician's job is to explore the relationship between hours and miles walked during a walk-a-thon. The activity compels your learners to experiment with different means in finding out this proportional relationship. The answer...
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...
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...
EngageNY
Constant Rates Revisited
Find the faster rate. The resource tasks the class to compare proportional relationships represented in different ways. Pupils find the slope of the proportional relationships to determine the constant rates. They then analyze the...
EngageNY
Tax, Commissions, Fees, and Other Real-World Percent Problems
Pupils work several real-world problems that use percents in the 11th portion of a 20-part series. The problems contain percents involved with taxes, commissions, discounts, tips, fees, and interest. Scholars use the equations formed for...
PBS
Real-World Proportional Relationships: Gender Wage Gap
When will the gender wage gap disappear? Scholars use a provided infographic to see trends in wage gap over time. They use ratios of women's wages to men's wages to determine which decades had the greatest change in the wage gap. The...
Mathed Up!
Direct and Inverse Proportionality
Direct your young mathematicians to a resource on direct and inverse variation. A video first reviews concepts on direct and inverse proportionality. Individuals then answer a set of questions in pure and applied mathematics...
CK-12 Foundation
Proportions Using Cross-Multiplication: Proportions Using Cross Product
Don't get it crossed—the resource is a great one. Scholars read and watch a video that explains proportions and cross products. They then use an interactive to determine that cross products are equal and answer a set of challenge...
EngageNY
Mid-Module Assessment Task: Grade 8 Module 4
Determine what the class knows about linear equations. The three-question mid-module assessment is segment 15 in a 33-part series. The assessment includes writing and solving one-variable linear equations and graphing proportional...