Math Drills
Autumn Ratios
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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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
Stock Swaps, Variation 3
More on the fictitious takeover of the Apple Corporation by Microsoft. In this scenario, Microsoft has $28.00 per share to spare, so how many do they need to offer to make an even trade? This is an engaging problem to solve when...
Yummy Math
Glowing Rectangles?
Middle school math masters use ratios to determine the missing dimensions of various HD television screens. They also compare different dimensions of screens and determine whether or not they fit the same ratio. They perform similar...
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How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
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Using Proportions to Estimate
Students calculate ratio and proportion. In this unit rates lesson, students estimate using proportions and find their errors in doing so. They calculate unit rates and define the concept of unit rates.
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Proportionality: The X-Plane Generation
Students meet NASA researchers who describe the relationship between force, energy and motion. They discuss how NASA's experimental X-plane is being tested to make space travel more reliable and show how proportionality and ratios are...
Balanced Assessment
Egyptian Statue
Investigate the proportional relationships of length, area, and volume. Learners use the dimensions of rectangular prisms to create ratios and proportions. They compare the different ratios to solve more advanced problems.
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Stoichiometry Problems
A cookie recipe is displayed as an example of proportional relationships, a clever way to introduce your chemists to stoichiometry! The steps of stoichiometry are listed, molar volume is explained, and then several stoichiometry problems...
101 Questions
Leaky Faucet
A dripping faucet may be enough to drive you crazy, but it also teaches you a little about ratios. Presented with the volume of a sink and the rate the water is dripping, scholars must devise a plant to determine how long it will take...
101 Questions
Gas Light
You don't want to leave any learners stranded! Explore ratios using an analysis of gas mileage and distance. Given a scenario, individuals must determine if a car has enough gas to make it to the next gas stop.
Mathematics Assessment Project
100 People
It's a small world after all. In the middle school assessment task, learners use data that imagines there are only 100 people in the world to answer questions about population demographics. Young mathematicians use ratio and proportional...
101 Questions
Finals Week
What energy drinks have the highest concentration of caffeine? Pupils compare five energy drinks with different amounts of caffeine and different volumes. They must solve the ratios to understand the differences. An extension compares...
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The Golden Ratio
Students solve problems using ratios and proportions. In this algebra lesson, students verify proportions, solve for the unknown and use real life scenario to model proportion.
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Proportionality: Modeling the Future
Students explore and examine how patterns, measurement, ratios and proportions are utilized in the research development and production of airplanes. They meet a pilot from the Federal Aviation Association who describes the growth of air...
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The Math of Science: Ratios and Proportions
In this ratio and proportion instructional activity, students learn about ratios and how to solve problems with ratios and proportions. They solve three problems using what they learned.
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Relative Ratios
Students discover that proportions are made up of equal ratios each containing the same building blocks. They, using the Internet, apply their knowledge of direct relationships and proportions to problems in planetary science.
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Ratio of Similarity
In this ratio of similarity worksheet, 10th graders solve and complete 20 different problems that include defining the ratio of similarity in various figures. First, they determine the ratio of similarity for large and small pairs of...
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Working with Percentages and Proportions
In this percentages and proportions worksheet, students are given percentages, they express them as a proportions, they create an equivalent ratio using "x" for the unknown portion and they cross multiply and divide to find their answer.
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Applying Proportionality in Scale Drawings
Sixth graders examine a blue print and discuss the reasoning behind using blue prints. In this proportionality lesson, students collaborate with their teammates to create a scale drawing. Once that is complete, 6th graders write a...
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Mixing Up Ratios
Students solve problems of ratio and proportions using hands on. In this algebra lesson, students vary the concentration of a fruit drink using parts of a ratio.
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Proportionality, Ratios and Constant Variation
Young scholars use Scion Image to estimate the proportion of space images. In this proportion lesson, students investigate the online site of Image of the Orbitor and relate the dimensions and sizes to known sizes.
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Quilting with Middle School Students: Using Proportionality to Develop Quilt Designs
Learners use quilt patterns to illustrate ratios. In this fractions activity, students color quilt patterns using given fractions and ratios of colors. A finished "quilt" is assembled from the work of the learners. This is an...
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Math Regents Exam Questions: Verbal Problems Involving Ratio
In this ratios worksheet, students solve 6 multiple choice and short answer word problems. Students use ratios of boys to girls and deer to foxes to find the number of boys, girls, deer, and foxes in a given population.
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