Lesson Plan
EngageNY

Equations of Graphs of Proportional Relationships Involving Fractions

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Tables

For Teachers 7th Standards
Learners determine whether there is a constant multiple within the table through an instructional activity that presents a method for determining whether two quantities are proportional. Pupils analyze tables to determine if they...
Lesson Plan
EngageNY

Proportional Relationships

For Teachers 7th Standards
Challenge the class to determine whether two quantities are proportional. The second instructional activity in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship...
Assessment
Mathematics Assessment Project

Ratios and Proportional Relationships

For Teachers 7th Standards
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.
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Tables 2

For Teachers 7th Standards
Not all relationships with a pattern are proportional. Show your class why in the fourth installment of a 22-part series. The instructional activity builds upon previous parts and has pupils analyze tables to determine whether they...
Lesson Plan
EngageNY

Representing Proportional Relationships with Equations

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Representing Proportional Relationships with Equations 2

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Graphs 2

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Interpreting Graphs of Proportional Relationships

For Teachers 7th Standards
What do those points on the graph mean? The 10th instructional activity in a series of 22 presents proportional relationships as graphs. Class members interpret various points of the graph — including the origin — within the context of...
Workbook
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Utah Education Network (UEN)

Ch 4: Ratio and Proportion

For Students 7th Standards
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...
Lesson Plan
EngageNY

Identifying Proportional and Non-Proportional Relationships in Graphs

For Teachers 7th Standards
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...
Lesson Plan
Mathematics Assessment Project

Comparing Strategies for Proportion Problems

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

A Critical Look at Proportional Relationships

For Teachers 8th Standards
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...
Lesson Plan
Kentucky Educational Television

The Road to Proportional Reasoning

For Teachers 6th - 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Walk-a-thon 1

For Teachers 6th - 8th Standards
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...
Lesson Plan
Illustrative Mathematics

Art Class, Assessment Variation

For Teachers 7th - 9th Standards
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...
Lesson Plan
Curated OER

7.RP Music Companies, Variation 2

For Teachers 6th - 8th Standards
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...
Lesson Plan
EduGAINs

Ratio and Proportion

For Teachers 7th - 10th Standards
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...
Lesson Plan
EngageNY

Unit Rate as the Constant of Proportionality

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Constant Rates Revisited

For Teachers 8th Standards
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...
Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
Assessment
Mathematics Assessment Project

100 People

For Teachers 6th - 8th Standards
It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...
Assessment
Concord Consortium

Proportional Representation

For Students 9th - 12th Standards
Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...
Worksheet
Common Core Sheets

Finding Amounts with Proportional Relationship

For Students 4th - 6th Standards
Challenging worksheets to drill your mathematicians as they crunch numbers to find the proportional relationship using fractions.