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Worksheet
Curated OER

Direct Variation

For Students 8th - 12th
In this direct variation worksheet, students complete 9 multiple choice problems regarding direct variation. Students determine direct variation equations from word problems and from graphs.
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Worksheet
Curated OER

Reviewing the First Unit

For Students Higher Ed
In this linear function worksheet, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six...
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Lesson Plan
Curated OER

Exercise Set 3.3: Variation

For Teachers 9th - 12th
In this variation worksheet, students solve 26 variation problems. Students determine the missing variable by using joint, direct, or inverse variation.
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Lesson Plan
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NASA

Exercising in Space

For Teachers 9th - 12th Standards
Using the CEVIS space bike as a context, groups work together to calculate the settings required for astronauts to reach their necessary exercise. Pupils calculate the prescribed exercise settings and complete the last section, which can...
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Lesson Plan
Virginia Department of Education

Types of Variations

For Teachers 10th - 12th
Scholars determine how two quantities vary with respect to each other. They complete a fill-in-the-blank activity by stating whether the entities vary directly, inversely, or jointly, create equations that match different variations, and...
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Lesson Plan
Dick Blick Art Materials

Start with a Circle...

For Students K - 12th
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
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Lesson Plan
Curated OER

Solve algebraic proportions.

For Teachers 8th - 10th
Students solve algebraic proportions. In this algebra lesson, students convert between fractions, percents and decimals. They solve problems using the distributive property.
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Lesson Plan
Curated OER

Blazing the Trail

For Teachers 5th - 9th
Learning about proportions through measuring and mapping distances is the focus of this real-world math lesson that doubles as an activity. Mathematicians complete a course designed to measure and map locations in order to put the...
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Lesson Plan
Curated OER

The Golden Ratio

For Teachers 9th - 11th
Students solve problems using ratios and proportions. For this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
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Lesson Plan
Curated OER

Indirect Measurement with Similar Triangles

For Teachers 9th - 12th
Young scholars use similar triangles to find missing heights.  In this using similar triangles to find missing heights lesson, students use proportions to find the heights of missing side lengths.  Young scholars find the height of trees...
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Lesson Plan
Curated OER

Using Ratios

For Teachers 8th - 10th
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
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Lesson Plan
Curated OER

Mixing Up Ratios

For Teachers 9th - 10th
Learners solve problems of ratio and proportions using hands on. In this algebra instructional activity, students vary the concentration of a fruit drink using parts of a ratio.
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Lesson Plan
Curated OER

New York State Testing Program

For Teachers 6th - 8th
In this state testing worksheet, students solve problems on a variety of topics studied throughout the year.  They find the median, solve algebraic equations, solve proportions, simplify expressions, find percents, and complete...
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Lesson Plan
Bowland

Water Availability

For Teachers 6th - 8th
Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...
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PPT
Curated OER

Circular Motion

For Teachers 9th - 12th
A helpful physics presentation will have you talking in circles! The material covers circular motion, and includes diagrams, formulas, and example problems. When used in addition with directed instruction and a teacher-created form of...
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Lesson Plan
West Contra Costa Unified School District

Investigating Similar Triangles

For Teachers 9th - 12th
Let your use of the resource be in proportion to its usefulness. Pupils investigate similar triangles by measuring side lengths and considering given angle measures. The results of the investigation help develop generalizations about...
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Assessment
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CCSS Math Activities

Smarter Balanced Sample Items: 7th Grade Math – Target A

For Teachers 7th Standards
How do you know if your pupils have a deep understanding of proportional relationships? Assessment is key! A helpful series starts with questions on proportional relationships modeled after the Smarter Balanced Assessment items....
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Lesson Plan
EngageNY

The Angle-Angle (AA) Criterion for Two Triangles to Be Similar

For Teachers 9th - 10th Standards
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
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Lesson Plan
Curated OER

Planets in Proportion

For Teachers 6th - 12th
Learners apply estimation strategies and proportional reasoning to determine a scale comparing the planetary bodies to Earth. They convert measurements of time and distance using scientific notation. Both the metric and customary units...
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Lesson Plan
Curated OER

PLANETS IN PROPORTION

For Teachers 6th - 8th
Students discover scales for both the solar bodies' relative sizes and their distances from the sun. They find equatorial circumference and volumes of their solar bodies. Students apply estimation strategies and proportioanl reasoning to...
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Lesson Plan
Curated OER

What percent of ratio is proportion?

For Teachers 9th
Ninth graders investigate the concepts of ratio and proportion.They solve examples with the teacher for ratios and proportions. A basic fraction review is used for a warm up in this lesson. The primary focus of the lesson appears to be...
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Lesson Plan
Curated OER

Solving Problems Using Proportions

For Teachers 6th - 8th
In this math worksheet, students solve the problems that are in word form in order to find the proper type of proportion for the solution.
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Lesson Plan
Illustrative Mathematics

Buying Bananas, Assessment Version

For Teachers 7th - 9th Standards
Practice with unit rates, proportions, and ratios when Carlos purchases an amount of bananas. Learners must interpret a graph to decide whether points on the same line represent similar proportional relationships. Use with lesson plans...
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AP Test Prep7:06
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Flipped Math

Calculus AB/BC - Modeling Situations with Differential Equations

For Students 10th - 12th
Differentiate between models. Pupils watch as the video works through three examples of creating a differential equation to model a situation. Scholars use their knowledge of proportional relationships to set up the equations and to...