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Lesson Plan
Illustrative Mathematics

Ratio of Boys to Girls

For Teachers 5th - 7th Standards
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...
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Worksheet
Curated OER

Sentence Based Ratios and Proportions Worksheet

For Students 5th - 6th
For this ratios and proportions worksheet, students read each sentence and write the indicated ratio on the blank line. They complete 7 examples.
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Worksheet
Curated OER

Proportions

For Students 8th - 10th
In this proportions worksheet, students solve and complete 7 various types of problems. First, they determine the better buy based on the information provided for each word problem. Then, students find the value of a variable given its...
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Worksheet
Skills Workshop

Ratio, Scale, and Proportion

For Students 6th - 8th Standards
Converting units is an excellent example of how math relates to our everyday tasks. The resource prompts mathematicians to use baking, cooking, and other daily activities to discover how to make larger quantities of each ratio or recipe.
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Lesson Plan
Willow Tree

Ratios and Proportions with Congruent and Similar Polygons

For Students 8th - 11th Standards
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...
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Workbook
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Utah Education Network (UEN)

Analyze Proportional Relationships and Use Them to Solve Real-World Problems

For Students 7th Standards
What proportion of learners will benefit from the lessons on proportional reasoning? Class members learn about proportional relationships, from unit rates to writing equations for proportional relationships. Then, they learn to use...
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Instructional Video4:00
PBS

Math with Jake: Transposition Using Ratios

For Students 6th - 8th Standards
The star of the show is ratios. The informative resource explains how to transpose music using ratios. Individuals transpose the song "Twinkle, Twinkle" in the activity by applying their ratio skills. The activity challenges class...
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Lesson Plan
Curated OER

Baseball Proportion: Student Worksheet

For Teachers 3rd - 4th
In this mathematics worksheet, young scholars 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...
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Instructional Video3:48
PBS

Math with Jake: Frequencies and Pitch

For Students 6th - 8th Standards
Be an octave above the rest. A musician explains how to write music in different time signatures. An interesting resource continues to demonstrate ratios using the pitch of musical notes and hertz. Pupils use a pitch table and determine...
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Instructional Video3:36
New Mexico State University

Bad Date

For Students 6th - 7th Standards
Get the best ratio for a good date. The class watches a video where dates are rated based on the ratio of words spoken. Pupils then use the ratios in the video along with other given ratios to find equivalent ratios. Finally, they...
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Worksheet
Curated OER

Ratios and Equivalent Ratios

For Students 6th - 7th
In this equivalent ratios activity, learners simplify 6 ratios and write each in 2 different ways. Students solve 8 proportional equations using equivalent ratios to find a missing term. Learners solve 2 test prep questions regarding...
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Worksheet
1
1
Math Drills

Autumn Ratios

For Students 4th - 6th Standards
Bring fall to your math class this year with a seasonal worksheet! Learners practice writing and simplifying ratios with a proportions worksheet that uses colorful autumn foliage to represent each figure.
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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...
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Interactive
Neufeld Learning Systems

Concept: Ratios and Proportions

For Teachers 4th - 8th Standards
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...
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Lesson Plan
Curated OER

Study Buddies - Proportions

For Teachers 6th - 7th
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...
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Worksheet
Raytheon

Ratios and Rates

For Students 6th - 9th
Here is a ratios, rates, and proportions worksheet which invites learners to solve word problems dealing with ratios, rates, and proportions. They complete 26 problems total.
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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.
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Assessment
Mathematics Assessment Project

Ratios and Proportional Relationships

For Teachers 7th Standards
Time to see what they've learned. Seventh graders solve a set of seven short problems in the ratios and proportional relationships domain. Applications include photo negatives, washing machines, coffee powder, sleep, stamps, etc.
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Worksheet
Curated OER

Effects of Changing Dimensions Proportionally

For Students 9th - 10th
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals.  The one page worksheet contains ten problems.  Answers are included. 
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Assessment
Concord Consortium

Hockey Pucks

For Students 5th - 7th Standards
Package design is a mathematical task for any business. Young scholars use a package design to determine the number of packages required for specific shipments. Using ratios, proportions, and fractions, they make decisions about the best...
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Worksheet
Curated OER

Baseball Proportion: Student Worksheet

For Students 4th - 6th
Here is a simple and clever activity which illustrates the concept of mathematical proportion and size quite effectively. In it, two pupils hold baseball bats: one is a regulation-size bat, the other is a miniature souvenir bat. The...
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Worksheet
Mathed Up!

Ratio

For Students 4th - 7th Standards
Practice makes proficient! Here, scholars practice their ratio skills to convert measurements while cooking. Nine problems make up a nine-page document equipped with clear instructions and advice for successful completion while working...
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Lesson Plan
Curated OER

Ratios, Proportions, and Percents - Week 4

For Teachers 9th - 12th
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...
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Assessment
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1
California Education Partners

Photos

For Students 7th Standards
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit particular...

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