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Cuisenaire Fractions
Young scholars 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...
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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
Students engage in a instructional activity that is concerned with the concept of similarity. This takes higher order thinking skills and being able to separate into categories. Specifically in this instructional activity they are...
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M&M's
Pupils 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 class.
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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
Students 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 work with...
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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
Young scholars 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...
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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
Students 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 that...
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Tennis Triangle
Students calculate the height of a tree or flagpole. They measure the shadow of the tree or flagpole and the length of a shadow of a meterstick. Using similar triangles, calculate the heigh. Devise two additional ways in which to measure...
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Playing with Money (From the New Zealand Point of View)
Students explore the exchange rates for five countries. They identify the units of currency of a number of countries. Students convert money amounts accurately from New Zealand dollars to another currency. They graph currency...
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Springy Legs
Fifth graders measure their body height and the height they can jump. They use these measurements in forms of ratios, fractions and decimals to describe their Springy Legs Factors (SLF). Students compare their SLFs to other people's...
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The Patchwork Quilt and Something From Nothing
Pupils listen to the teacher read the first 26 pages of the story, Something From Nothing, and discuss what predicting means, Students predict how Joesph might remember what his grandfather made him, now that the button is gone. They...
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Golden Connections
High schoolers determine the ratio of pairs of consecutive terms in the Fibonacci Sequence. Using four different colors, they create a golden rectangle in either two or three dimensions. They use photographs to create two collages...
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Landmark Restoration Project-Scale Model Measurements
Young scholars work in cooperative groups to find the actual measurements of an historical building/landmark. Then they use ratio and proportion to figure the measurements that might be used to create a scale model of the structure.