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Measuring with Mathematics
Eighth graders discover how the change in the dimensions of a shape cause a change in the overall area of the shape, but the perimeter stay the same. They, in groups, go out to the playground and construct large areas using stakes and rope.
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In the Path of the Ancients: Unearthing Formulas for Area
High schoolers apply the formulas for the area of parallelograms and triangles. Through guided practice, students discover the correct way to apply the formulas. Working in pairs, they write their own problems featuring the formulas.
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Measurement: Lesson 2
Fourth graders find the perimeter of a geometric shape by adding the lengths of the sides. They find the area of a square or rectangle by counting square units. Students use multiplication to find the area of a rectangle. They estimate...
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Triangle Explorer
Students calculate the area of triangles using a variety of materials including computer applets.
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Cube Models
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson, they record the dimensions of each model...
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Wrecked Angle
In this geometry activity, students answer questions about triangles and trapezoids as it related to the area of a shape. They make their own polygons and calculate the area.
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Pythagorean Theorem
In this Pythagorean Theorem worksheet, 10th graders solve and complete 19 various types of problems. First, they draw the square shown and divide its sections as shown. Then, students cut out the 6 parts of the square and rearrange the 4...
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Hinode Satellite Power
In this Hinode satellite learning exercise, students find the area of the solar panels that cover the Hinode satellite to provide power. They determine the amount of power produced by the solar cells and if it is enough to keep all the...
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The Pythagorean Theorem
Learners create both a visual and formal proof of the Pythagorean theorem, as well as view four additional geometric demonstrations of the theorem. They construct a square and conjecture the following theorem: The sum of the areas of...
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Counting Galaxies with the Hubble Space Telescope
In this counting galaxies worksheet, students use a photograph taken by the Hubble Space Telescope and they divide the field into 16 square areas. They find the average number of galaxies in the cells, they find the area of one of the...
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Inequalities
In this inequalities learning exercise, 10th graders solve and complete 23 various types of problems. First, they find the area of an inscribed square in a circle shown. Then, students find the total area of the inscribed polygon and...
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Counting Craters on the Hubble Space Telescope!
In this Hubble Space Telescope worksheet, students are given a photograph of the radiator recovered after being in space on the Hubble Space Telescope since 1993. Students solve 6 problems about the impacts that left craters on the...
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Phenomenological Pizza
Students explore measurement in terms of pizza toppings. In this math lesson plan, students draw a circle using string and a ruler, determine areas of different size circles, find how many two topping pizzas can be made using 14...
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How Many Quasars Are There?
In this quasars worksheet, students read about how astronomers can detect quasars by their luminosity. Students use a given equation to solve 4 problems including finding quasar magnitude, determining the number of quasars with given...
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Geometric Figures
In this geometric figures worksheet, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...
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Where Will The Couch Fit?
Students name the area formula and describe how it works. They use area formula to calculate the surface area of various objects. They use the area formula to design a floor plan of an apartment.
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Getting an Angle on the Sun and Moon
In this Sun and Moon activity, students solve 6 problems about the angular scale of the images given, the size of the features on the images and the area of the features shown.
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Geometric Word Problems
In this geometric figures worksheet, 10th graders solve and complete 11 different word problems. First, they find the area of a regular octagon with a given side. Then, students find the area of each shaded region. They also find the...
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Grade 3: What Can I Make with 30 Centimeters?
Third graders create polygons with perimeters of 30 centimeters, use the centimeter grid paper to determine the area of each shape, and organize the shapes to make generalizations from the patterns they see.
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Kepler-The Hunt for Earth-like Planets
In this hunt for planets worksheet, students read about the Kepler satellite used to detect exoplanets. Students solve 6 problems including drawing a sun disk and determining the scale in kilometers/millimeter, finding the area of the...
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Pythagoreum Theorem
Students practice assessing how to apply the formulas for the area of parallelograms and triangles. They recount the contributions of Pythagoras and apply the theories of the Pythagorean theorem in a group project to calculate the...
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Easy Worksheet: Maximizing Volume
In this maximizing volume worksheet, students solve 4 short answer problems. Students find the maximum area of a rectangle, volume of a box, and height of an object. Students determine the time at which the object in motion reaches its...
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Satellites and Solar Cells
In this satellite and solar cells worksheet, students determine the electrical power generated by the solar cells on the IMAGE satellite. Students solve 3 problems including finding the usable area of the satellite, determining the power...
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