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Shapes

For Teachers K
Learners participate in a number of hands-on shape-related activities. They match and sort shapes by attribute, read books about shapes, complete shape art projects and explore and compare parts of shapes.
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What's in a Shape?

For Teachers 3rd - 5th
Students explore characteristics of shapes by making and using tangram sets. They discover how the tangram pieces are related to one another, and determine how many different combinations of the triangles, squares, and parallelograms in...
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Investigation Area of Geometric Shapes

For Teachers 4th
Fourth graders use triangle paper to design patterns using geometric figures and find the areas of those figures by counting units. Students are assessed by determining which figure has the greatest area and explaining their reasoning.
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What's your favorite pi?

For Teachers 6th
Sixth graders toss popcorn kernels at a 12? circle inscribed in a 12? square. By counting the number of popcorn kernels that land inside the circle and inside the square the students calculate estimates for the value of pi.
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Least Squares

For Students 12th - Higher Ed
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...
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Roundup Shapes

For Teachers K
Shapes are all around us! Kindergartenrs identify shapes in their world and guess the shape being described. They participate in a shape hunt.
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Using Tiling to Find Area

For Students 3rd - 5th
By splitting rectangles into four equal parts, scholars practice calculating area and determining side length. They begin by determining the area of each rectangle before segmenting it. Then, they use the space provided to split it into...
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Pythagorean Theorem

For Teachers 7th - 10th
In this measurement lesson, learners examine the Pythagorean Theorem, perimeter, and areas of right triangles. They record their measurements and research their findings on a grid.
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Math: a World of Symmetry

For Teachers 6th - 8th
Learners expand their knowledge of quadrilaterals and identify basic symmetrical forms. Over three weeks, they explore the math, application, and discussion of symmetry. After conducting Internet research, students create symmetrical...
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Exploring Similar Polygons

For Students 10th
In this exploring similar polygons worksheet, 10th graders solve 9 various problems that are related to similar polygons. First, they define similar and the symbol used to identify similar to another. Then, students find the measurement...
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Exploring Similar Polygons

For Students 10th
In this exploring similar polygons learning exercise, 10th graders solve 9 various types of problems related to determining whether each polygon is similar or not. First, they write 3 equal ratios to show corresponding sides are...
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Parallelograms

For Students 10th
In this parallelograms worksheet, 10th graders identify and describe a quadrilateral, a diagonal, and a parallelogram in 7 different problems. First, they find the values of x, y, and z in each quadrilateral to prove that it is a...
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Our Geometric World

For Teachers 3rd
Third graders explore the attributes of polygons. In this geometric shapes lesson, 3rd graders review quadrilaterals, squares, rectangles, triangles, pentagons, hexagons, and octagons in order to create hanging polygons. Students then...
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Rectangles

For Students 10th
In this rectangles worksheet, 10th graders solve 6 different geometry problems that are related to the quadrilateral, rectangle. First, they find the values of x and y to determine if quadrilateral RSTV is a rectangle. Then, students...
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Discovering Perimeter

For Teachers 12th
Twelfth graders apply perimeter measurement to items found in newspapers and calculate the cost in terms of feet or yards. They share answers and explanations with classmates.
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Tests for Parallelograms

For Students 10th
In this tests for parallelograms learning exercise, 10th graders solve 7 various types of geometry problems that include parallelograms. First, they determine if each quadrilateral is a parallelogram and justify their answers. Then,...
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Creature Design

For Teachers 5th
Fifth graders create mathematical creatures. In this geometry lesson, 5th graders create a creature from regular and irregular geometric shapes. Students review vocabulary and construct an original creature based on a rubric.
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Coordinate Geometry Proofs

For Students 10th
In this coordinate geometry worksheet, 10th graders solve and draw 10 different problems related to complete proofs in coordinate geometry. First, they prove that a figure with given points is another figure by using slopes. Then,...
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Tests for Parallelograms

For Students 10th
In this tests for parallelograms worksheet, 10th graders solve 7 various forms of questions that relate to testing for parallelograms in the figures shown. First, they find the values of x and y that insure each quadrilateral is a...
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Perimeter

For Teachers 5th
Fifth graders create math word problems. In this geometry lesson plan, 5th graders define perimeter and discover how to find the perimeter of a rectangle, a square and a regular polygon. Students write word problems on finding the...
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Governor's Garden

For Teachers 9th - 12th
Learners review types of polygons and list several examples of each. They assume the role of a landscape artist interviewing for a job. They create sketches of their plans for six polygonal gardens and write an expository paragraph...
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Shoelace Algorithm

For Students Higher Ed
In this shoelace algorithm learning exercise, students determine the area of a triangle when given the coordinates of the vertices. They determine the area of a quadrilateral. Students find the average of the x and y coordinates.
Interactive
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Parallelograms Multiple Choice

For Students 9th - 10th
In this geometry worksheet, students calculate the different measurements for parallelograms using the properties of quadrilaterals. They are given partial information and must solve the problem. There are 6 questions with an answer...
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Parallelograms

For Students 10th
In this parallelograms worksheet, 10th graders solve 8 different types of problems related to measuring various parallelograms. First, they use the figure, a parallelogram, illustrated at the top to solve each problem. Then, students...

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