California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear...
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
Noyce Foundation
Measuring Mammals
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
Teach Engineering
Scale Model Project
Try your hand at scale models. Scholars create a scale model of an object using a scale factor of their choice. As part of the project, they give presentations on their processes and calculations. This is the last installment of the...
Noyce Foundation
Measuring Up
Teach the basics of measurement and conversion with a five-lesson resource that builds an understanding of proportion and measurement conversion from elementary through high school. Initially, young scholars use ratios to determine soup...
EngageNY
Understanding Variability When Estimating a Population Proportion
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
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...
EngageNY
Estimating a Population Proportion
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...
EngageNY
Mixture Problems
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
EngageNY
Mid-Module Assessment Task: Grade 7 Mathematics Module 4
Assess the ability of the class to solve percent problems with an assessment that covers a variety of percent problems from basic to multi-step. Pupils make connections between percent problems and proportional thinking to complete...
EngageNY
The Unit Rate as the Scale Factor
Discover the scale factor by finding the constant of proportionality. Pupils investigate drawings to determine whether the distances are proportional. The activity defines the scale factor as the constant of proportionality, or unit...
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.
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
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...
Mathed Up!
Stratified Sampling
Young mathematicians learn how to solve problems involving stratified sampling. They review concepts of sampling and proportionality by watching a video and then they complete a worksheet of questions on this topic.
EngageNY
An Exercise in Changing Scales 2
Reflect on altering scale factors. The last lesson in the series of 22 has the class compare the two scale drawings they created. They realize that the scale drawing becomes a scale drawing of each other. Class members continue to work...
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
EngageNY
Computing Actual Areas from a Scale Drawing
Square the scale factor when working with scaled drawings and area. The 19th lesson in a series of 22 introduces calculating actual areas from scale drawings. The lesson encourages pupils to use the square of the scale factor to find the...
EngageNY
Ratios of Fractions and Their Unit Rates
Challenge the class to calculate unit rates using complex fractions. Pupils work through examples of finding unit rates using ratios of fractions. To complete the 11th lesson plan of 22, scholars review sample work and determine whether...
EngageNY
Interpreting Graphs of Proportional Relationships
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...
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...
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...
EngageNY
Proportional Relationships
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...
EngageNY
An Exercise in Changing Scales
Classmates create a scale drawing from another scale drawing, changing the scale in the process. Groups enlarge or reduce the scale of the drawing and discuss their processes.