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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...
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Interactive
Scholastic

Study Jams! Ratio

For Students 5th - 7th Standards
What is the ratio of wins to total games for Mia's soccer team? RJ teaches viewers how to figure it out with a step-by-step procedure. He shows them three different ways to represent ratios: word form, ratio form, and fraction form. 
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Lesson Plan
EngageNY

Ratios

For Teachers 6th Standards
Create ratios using the boys and girls in the class. The first lesson in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there are different...
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Lesson Plan
EngageNY

Ratios II

For Teachers 6th Standards
Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios. 
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Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios II

For Teachers 6th Standards
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions. 
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Workbook
Utah Education Network (UEN)

Ratio Relations

For Students 6th Standards
At this rate, the class will be experts on ratios and rates in no time. A class workbook teaches individuals about ratio language, using tables and tape diagrams to find equivalent ratios, and solving ratio problems. They then discover...
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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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Activity2:06
PBS

Human Tree: Ratios

For Students 6th - 7th Standards
Create a personal tree. By visiting an exhibit at the National Museum of Mathematics, the resource introduces the idea of fractals. The exhibit takes an image of the person and creates a tree by repeating scaled images on the shoulders...
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Activity5:34
PBS

Math with Jake: Ratios and Fractions

For Students 6th - 8th Standards
And the beat goes on. The installment of the Math at the Core: Ratios series introduces time signatures in music. A musician shows the relationship between different types of musical beats. Working in pairs, classmates create beat...
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Instructional Video10:36
2
2
Flipped Math

Inverse Trig Ratios

For Students 9th - 12th Standards
Put trigonometric ratios into inverse. Scholars learn how to find an unknown angle in a right triangle by using inverse trigonometric ratios. The pupils understand how the inverses undo a trigonometric ratio to provide the angle measure....
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Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
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Lesson Plan
Math Worksheets Land

Multistep Ratio and Percent Word Problems - Step-by-Step Lesson

For Students 6th - 8th Standards
What happens when you have a recipe and need to up the measurements? Here is a lesson plan that explains how to use ratios to convert measurements and percents with worked out problems. Also provided are additional resources and practice...
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Interactive
CK-12 Foundation

Special Triangle Ratios: Special Right Triangle Ratios

For Students 9th - 12th Standards
Go from one side length to any other side length with special right triangles. Individuals use the interactive to investigate the ratio of sides in 45-45 and 30-60 right triangles. Scholars make generalizations about the types of special...
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Instructional Video20:08
2
2
Flipped Math

Trig Ratios

For Students 9th - 12th Standards
Take ratios of sides to a new level. Pupils learn the definitions of the three basic trigonometric ratios in right triangles. Using the definitions, scholars find missing lengths in right triangles, based on a known angle. Individuals...
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Lesson Plan
National Research Center for Career and Technical Education

Business Management and Administration: Compound Interest - A Millionaire's Best Friend

For Teachers 6th - 12th Standards
Many math concepts are covered through this resource: percentages, decimals, ratios, exponential functions, graphing, rounding, order of operations, estimation, and solving equations. Colorful worksheets and a link to a Google search for...
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Interactive3:32
1
1
Scholastic

Study Jams! Proportions

For Students 4th - 7th Standards
Join Zoe and Sam as they use proportions to budget money for their Green Earth Club. Watch as they set up and solve a series of proportions using cross multiplication and division. A great resource that brings together prior knowledge of...
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Interactive
Scholastic

Study Jams! Rate

For Students 4th - 6th Standards
Zoe is reading books over vacation and wants to know at her current rate, how many will she finish by the end. Building on prior knowledge of fractions and ratios, young mathematicians learn how equivalent rates are used to answer her...
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Lesson Plan
Virginia Department of Education

Field Goals, Balls, and Nets

For Teachers 6th Standards
Score a resource on ratios. Young mathematicians learn about different ways to express ratios. Using sports data, they write statements about the statistics in ratio form.
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Interactive
National Council of Teachers of Mathematics

Scale Factor

For Students 6th - 12th Standards
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
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Unit Plan
Radford University

Fibonacci is All Around

For Teachers 9th - 12th Standards
One ratio to rule them all. Young mathematicians investigate the Fibonacci sequence and the Golden Ratio. To begin the first lesson, they use a spreadsheet to see how the Fibonacci sequence gives the Golden Ratio. The second lesson...
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Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Lesson Plan
Illustrative Mathematics

Dana's House

For Teachers 5th - 7th Standards
Your class is to find the percent of the lot that is not covered by a house. Make sure your pupils understand the problems before they begin. The lot is the whole of the percent problem and the house is the part. The exercise is good...
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Lesson Plan
1
1
Berkshire Museum

Adopt a Schoolyard Tree

For Teachers 2nd - 5th Standards
Help young scientists connect with nature and learn about trees with a fun life science lesson. Heading out into the school yard, children choose a tree to adopt, taking measurements, writing descriptions, and drawing sketches of it in...
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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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