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Proportional Problems 1
Eighth graders explore representing fractions as ratios and proportions. They model proportions through the use of blocks, LEGO gears and activities with bicycle gears and pedals. Students work with bicycle gear boxes to observe and...
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Building Log Cabins
Fourth graders design and create a log cabin in this instructional activity. They use ratios to help make dimensions of a house. They draw out how they want their house to look and gather the materials they need to complete the house. ...
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Are You a Golden Ratio?
Students explore the concept of the golden ratio in nature and architectural design. They discuss examples such as petals on a sunflower and the Parthenon. In small groups they take turns measuring their body parts to find a golden ratio.
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Use Proprotions To Solve Word Problems
Eighth graders explore ratios and proportions and how they are used in day to day life. As an activity, they find their own heart rate and then take a survey of other heart rates in the room. After organizing the data, 8th graders use...
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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...
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Solve for Scale Factors Using Proportions
Eighth graders solve problems using proportions with scaled drawings. They work with maps and blue-prints discussing scales and plans and examine different polygons and figure out the scale factors or proportions they have been changed by.
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Cuisenaire Fractions
Students study fractions by comparing rations using Cuisenaire rods. They make predictions, measure lengths using Cuisenaire rods and explain their answers. Next, they discuss the relationship of the different rods in terms of their...
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The Voyage Scale
Young scholars identify how models are powerful tools of exploration and that the sizes of the planets and distances between the planets in the Solar System span a large range. They make a sign for each planet they have created in the...
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Dilation
Tenth graders identidy and define various geometry terms, Students create exact replicas of a shape that is either smaller or larger than the original shape. Students prove that their entire shapes are larger or smaller in the same...
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Balancing the Scales: Understanding Ratios
Students are introduced to the concept of ratios. In groups, they convert sets of numbers into a ratio. After practicing, they use the ratios and proportions to solve story problems. They also calculate map distances and discover map...
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Similarity
Middle schoolers engage in a lesson that is concerned with the concept of similarity. This takes higher order thinking skills and being able to separate into categories. Specifically in this lesson they are introduced to the scale and...
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M&M's
Students use M&M candies to show fractions, percents, and ratios. Individually, they complete a worksheet using their candies and solving equations of greater than or less than. They review their answers and strategies used as a...
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M&M Caper
Students participate in a game with M&M's to be introduced to percents and ratios. Individually, they estimate and record the number of candies they believe the bag holds and the amount of each colored candy. They open the bag and...
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Understanding Fundamental Trigonometric Identities
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review...
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Proportions
Seventh graders participate in a lesson that focuses on having them solve different proportions. The lesson includes an example that the teacher can work from in order to deliver direct instruction.
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Ratios
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The lesson is taught using a table or graph to compare two categories of data.
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Ratios
Sixth graders use ratios to solve unit problems. Pupils write ratios in three different ways. In groups, they perform a bean activity, find ratios, and write them in simplest form.
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Similar Triangles
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
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Investigating Scale Factors with the Geometer's Sketchpad
Young scholars use Geometer's Sketchpad to examine the scale factor when in is applied to the length of a figure's sides. They look at how the scale factor affects the side lengths, perimeter, and area of the figure that result. They...
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Understanding Radios
Fifth graders explore ratios. Using models and real-world scenarios, they complete tables and generate comparisons. Pupils demonstrate multiple ways of writing ratios and describe the differences between ratios.
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PrimeTime Math: Cliffbound!
Students are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
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Scale Factors for Areas and Volumes
Students examine mathematical questions. They examine how to tackle mathematical questions and discover the effect of a change in length on area and volume. They examine the consequences of the physical properties sea animals on heat...
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Introducing Trig
Fifth graders explore the importance of triangles in the real world. They find the unknown side of a right triangle using a scale drawing. Students use Pythagoras' Theorem and other appropriate ratios.
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Scale Basketball
Young scholars understand that a spreadsheet can be used to find the best scale to use in a model. They place the distances of the planets of the solar system to the Sun in one column of the spreadsheet. Students try different scales so...