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
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...
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 plan builds upon previous parts and has pupils analyze tables to determine whether they represent a...
Curated OER
Ratios, Proportions and Percents
Fifth graders complete 3 activities centered around percents. In this ratios, proportions and percents instructional activity, 5th graders create designs on grid paper that illustrate a variety of percents, solve percent problems...
EduGAINs
Ratio and Proportion
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...
Illustrative Mathematics
Ratio of Boys to Girls
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
Mathematics Assessment Project
Comparing Strategies for Proportion Problems
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...
Curated OER
Study Buddies - Proportions
Middle-schoolers solve various problems related to proportions. They write ratios in word form and then, replace the words with numbers. Pupils also write an equation in which they will cross-multiply to solve the proportion. This is an...
Curated OER
Ratios And Scale
students investigate the concept of using a ratio in the work of construction and solve problems using real life applications. They read descriptions of how various types of construction professionals use ratios on the job. The lesson...
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.
Curated OER
Scale/Ratio
Investigate the use of ratios in scale drawings. Learners scale objects up or down using ratios then find the actual size of something using ratios. They apply their knowledge of ratios as they make their own telescopes in science...
Curated OER
Understanding Proportions and Scale Drawings
Proportions are ratios found using multiplication or division. Middle schoolers solve measurement problems, find a figure's missing dimension, and find the distance between two points. Resource features four lesson plans with detailed...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Curated OER
Ratios, Proportions, and Percents - Week 4
In this ratio, proportion and percent worksheet, students solve problems involving ratios and proportions. They identify the percent of increase and decrease, solve ratio problems with proportions, and find sale prices. This two-page...
Curated OER
Baseball Proportion: Student Worksheet
In this mathematics worksheet, learners model a batting stance with a regulation size baseball bat. Then they model the batting stance with a souvenir miniature baseball bat. Students measure the length of each bat in centimeters and use...
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
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
Multi-Step Ratio Problems
Use ratios to solve problems that are not proportions. The instructional activity has pupils solve multi-step ratio problems that involve fractional increases and decreases. The problems involve mark-ups, discounts, commissions, and...
EngageNY
Relating Scale Drawings to Ratios and Rates
Enlargements and reductions are all about scale. The instructional activity introduces scale drawing to the class. Pupils determine whether the drawing is a reduction or an enlargement, and the constant of proportionality between the...
Curated OER
Ratios, Unit Rates, and Proportions
Explore the concept of ratios, unit rates, and proportions. Learners convert fractions and percents to decimals. They discuss rates and where they can be found in the real world. A hands-on experiment and numerous flash cards and...
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...
Curated OER
Ratios: Interpreting the Phrase "Out Of"
Students explore the concept of ratios. They observe a website of Trident Gum that gives a real life example of ratios. Students practice ratio problems in three forms. They express ratios as a proportion and solve proportions using...
Neufeld Learning Systems
Concept: Ratios and Proportions
Upper elementary and middle school pupils fill out a chart creating six equivalent fractions and then compare them to six different objects and/or shapes. They group together 16 various terms related to ratios and proportions. Pupils...