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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...
EngageNY
Proportional Relationships
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...
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...
Illustrative Mathematics
Proportional Relationships, Lines, and Linear Equations
The resource is a good introduction to what makes a proportional relationship between two lines. Discuss the similarities of both lines and the possibility of intersection. Use this opportunity to list other acceptable forms of each...
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...
Curated OER
Carbon 14 Dating in Practice II
Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.
PBS
Scale City — Proportional Relationships in the Real World
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...
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
Comparing Speeds in Graphs and Equations
Compare two different proportional relationships on a graph. It is up to your mathematicians to determine which of two moving objects have greater speed. A good example of a Common Core multiple choice question.
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...
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
Finding Equivalent Ratios Given the Total Quantity
Complete incomplete tables by using proportions. Pupils use information provided to complete tables based on proportions. Class members use their knowledge of part-to-part ratios and totals to find the missing information.
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.
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...
EngageNY
Markup and Markdown Problems
There is a 100 percent chance this resource will help pupils connect percents to financial literacy. Young mathematicians use their knowledge of percents to find markups and markdowns in financial situations in the seventh segment in a...
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make...
EngageNY
Ratios and Unit Rates
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...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...