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

Proportional Relationships

For Teachers 7th Standards
Challenge the class to determine whether two quantities are proportional. The second lesson in a unit of 22 has class members decide if two quantities have a proportional relationship. If a proportional relationship exists, the pupils...
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

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
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

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
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
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
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...
Activity
Curated OER

Carbon 14 Dating in Practice II

For Teachers 9th - 12th Standards
  Your archaeologists combine proportional reasoning with exponential functions in a real-life task centered on Carbon 14 dating.          
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...
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...
Lesson Plan
EngageNY

Tax, Commissions, Fees, and Other Real-World Percent Problems

For Teachers 7th Standards
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...
Lesson Plan
EngageNY

Finding Equivalent Ratios Given the Total Quantity

For Teachers 7th Standards
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.
Lesson Plan
EngageNY

Modeling Using Similarity

For Teachers 8th Standards
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Lesson Plan
Mathalicious

On Your Mark

For Teachers 7th - 8th Standards
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...
Lesson Plan
EngageNY

Markup and Markdown Problems

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

Using Random Sampling to Draw Inferences

For Teachers 7th Standards
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...
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...
Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
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...
Lesson Plan
EngageNY

Computing Actual Lengths from a Scale Drawing

For Teachers 7th Standards
Class members take scale drawings and examine scales to determine distances in the actual objects. Pupils convert the scales of different units to scale factors that can be used in proportional equations.
Performance
Radford University

How Tall is the Tree?

For Teachers 9th - 12th Standards
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...