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 lesson plan in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the...
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 lesson builds upon previous parts and has pupils analyze tables to determine whether they represent a...
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...
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
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...
Workbook
1
1
University of Utah

Explore Proportional and Linear Relationships

For Students 8th Standards
Progress from proportional relationships to linear functions. Pupils first review concepts of proportionality covered in earlier grades. They then extend these concepts to linear functions, such as determining the slope of a...
Activity3:39
PBS

Scale City — Proportional Relationships in the Real World

For Teachers 6th - 7th Standards
Strive to determine your stride. Scholars first view an informative video on the Kentucky Horse Park and the 28-feet stride of the Man o' War. They then work together in groups to find the length of their own strides by using the number...
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...
Instructional Video8:27
Corbett Maths

Direct Proportion

For Students 6th - 9th Standards
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...
Lesson Plan
02 x 02 Worksheets

Proportions

For Teachers 7th
Cut-and-paste a great activity into your lesson plans. Scholars analyze real-world problems involving proportions. To change things up a bit they cut-and-paste quantities to create a proportion on their way to solving the problems.
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...
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.
Interactive
CK-12 Foundation

Proportions Using Cross-Multiplication: Proportions Using Cross Product

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

Peaches and Plums

For Teachers 7th - 9th Standards
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps students become intuitive about graphing. 
Assessment
Mathed Up!

Direct and Inverse Proportionality

For Students 8th - 11th
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...
Lesson Plan
Illustrative Mathematics

DVD Profits, Variation 1

For Teachers 7th - 9th Standards
The idea in the resource is to understand the connections between proportional relationships, lines, and linear equations. To stay within the context of the standard, skip the part of the resource that solves with unit rates. Instead,...
Assessment
CCSS Math Activities

Smarter Balanced Sample Items: 7th Grade Math – Claim 3

For Teachers 7th Standards
Does the explanation make sense? Sample items highlight claim three, communicating reason, in the Smarter Balanced assessments. Teachers use the 16 items to help show pupils the importance of communication and reasoning within...
Lesson Plan
Illustrative Mathematics

Find the Change

For Teachers 7th - 9th Standards
This exercise is an opportunity for algebra learners to understand the connection between the slope of a line and points found on the line. Use similar triangles to explain why slope m is the same between any two points. Discuss with the...

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