Archive for the 'Area' Category

Around a Circle: Measuring a Geometric Figure

Your textbook has many, many problems on finding the measurements of a circle, so I looked for problems that are off the beaten track. The result is an unusual set of applications to the circle, therefore challenging but intriguing, I think, for middle school classes. Let your colleagues know of your own ideas  and comments […]

Posted in Topics: Area, Circumference, Geometry, Math, Measurement, Pi, Problem Solving, Quick Takes

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Measuring a Solid

Many students never really understand volume or surface area, although they can memorize the formulas and even apply them on tests. These resources have been selected with an eye to helping students enter into the concepts of volume and surface area through practical problems, hands-on experiences, and applets they can manipulate to actually see how […]

Posted in Topics: 3-D Shapes, Area, Geometry, Math, Measurement, Process Skills (Mathematics), Quick Takes, Volume

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Close Encounters with Ratios

Understanding ratio and proportion, one of NCTM’s Focal Points for grade 7, presents a real challenge for all levels of middle school. Here are classroom-friendly ways to explore the topic from several angles. Each involves visuals or hands-on activities that bring students into close contact with the abstract concept of ratio. Let other teachers hear your ideas […]

Posted in Topics: Area, Arithmetic, Instruction, Math, Measurement, Number and Operations, Pi, Process Skills (Mathematics), Quick Takes, Ratio, Scale, Volume

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Geoboard Geometry

Sometimes geoboards are left on the shelf because we don’t know what to do with them. They can be powerful tools for students to study, length, area and perimeter. (But remember to be careful with the perimeter part because the length of one unit is only measured on the horizontal or vertical, not the diagonal.) […]

Posted in Topics: Area, Geoboards, Geometry, Math, Perimeter, Polygons, Quick Takes, Triangles

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Hands-On Measuring

Students need active learning experiences to understand measurement concepts and develop important skills. These resources provide opportunities for students to problem solve with hands-on and virtual measurements in real-world and online environments.
Fit by Design or Design to Fit
This applied mathematics lesson features hands-on activities supporting the NCTM Measurement Standard, and can be used to introduce […]

Posted in Topics: 3-D Shapes, Area, Data, Geometry, Math, Measurement, National Standards, Perimeter, Process Skills (Mathematics), Pythagorean Theorem, Quick Takes, Real Data, Reasoning, Scale, Triangles, Volume

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Area and Volume

Here are online resources with virtual manipulatives that can help make area and volume real for students. Be sure to check out the sites these resources are from — the sites contain many other interesting and useful mathematics learning resources.
Area Explorer
With this simulation, the student finds the areas for irregular shapes on a grid. […]

Posted in Topics: 3-D Shapes, Area, Math, Measurement, Perimeter, Quick Takes, Volume

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