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Worksheet
National Council of Teachers of Mathematics

Perplexing Parallelograms

For Students 9th - 10th
In this geometry worksheet, young mathematicians divide a parallelogram into four, by choosing points along a diagonal.  Students calculate the area of each parallelogram and look for any patterns that may emerge.  The one-page worksheet...
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Worksheet
Curated OER

Right Triangles

For Students 10th
For this right triangles worksheet, 10th graders solve and complete 12 different types of problems. First, they solve for a variable given each of the right triangles with the sides as indicated. Then, students determine the shorter...
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Worksheet
Curated OER

The Quadrilateral Family

For Students 10th
In this quadrilaterals worksheet, 10th graders solve and complete 10 different problems that include identifying various quadrilaterals. First, they indicate whether the statements are true or false for each. Then, students determine the...
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Worksheet
Curated OER

Prisms

For Students 10th
In this prisms instructional activity, 10th graders solve and complete 6 different types of problems. First, they find the volume of a right prism with equilateral triangles as bases. Then, students find the volume of a right prism with...
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Worksheet
Curated OER

Trapezoids

For Students 10th
In this trapezoids worksheet, 10th graders solve 5 different problems related to trapezoids and applying the appropriate theorem. First, they define a trapezoid, including its bases, legs, and base angles. Then, students use the...
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Worksheet
Curated OER

The Pascal Problem

For Students 7th - 12th
In this Pascal activity, students begin at the center of a rhombus to identify the number of ways the word "Pascal" may be found.  This one-page activity contains 1 puzzle.  The answer is provided at the bottom of the page.
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Lesson Plan
Curated OER

World of Quadrilaterals

For Teachers 7th - 12th
Students define the importance of the properties of quadrilaterals. In this quadrilaterals lesson, students identify the general properties of and compare and contrast the properties of convex and concave quadrilaterals. Students also...
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Lesson Plan
Illustrative Mathematics

Area of a Trapezoid

For Teachers 7th - 9th Standards
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
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Lesson Plan
Curated OER

Polly and the Shapeshifter

For Teachers 9th - 11th
Students analyze the patterns in polygons and relate it to the rate of change. In this algebra lesson, students discuss the relationship between the data and the graph of the data.
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Worksheet
Curated OER

Logical Relationship of Postulates & Theorems

For Students 10th - 12th
In this postulates and theorems learning exercise, students explore a concept map containing information about angles and sides, alternate interior angles, and diagonals of a parallelogram.  They use the concept map to prove theorems...
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Interactive
Curated OER

The Pythagorean Theorem

For Students 10th
In this geometry learning exercise, 10th graders answer questions about right triangles by identifying the 3 sides of the triangle. They analyze the different shapes of polygons and relate them to right triangles to find the sides using...
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Worksheet
Curated OER

Wrecked Angle

For Students 9th - 10th
For this geometry worksheet, learners 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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Lesson Plan
Key Curriculum Press

Properties of Special Parallelograms

For Teachers 9th - 11th Standards
Rhombuses, rectangles and squares are have special properties. In this instructional activity, young geometers investigate and make conjectures about diagonals, angles, and parallel lines of parallelograms. 
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Worksheet
Curated OER

Geometric Applications

For Students 9th - 11th
For this geometric applications worksheet, learners find the length of a missing side of a right triangle. They determine the perimeter of a polygon and find the distance between two lines. This two-page worksheet contains 28 problems.
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Worksheet
Curated OER

Constructions and Loci

For Students 9th - 10th
In this geometry worksheet, students construct polygons and calculate the different angles formed by each shape. They construct circles, trapezoids, and rectangles and answer 20 questions.
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Worksheet
Curated OER

Caley Table for the Symmetries of a Square

For Students 8th - 11th
Middle and high schoolers complete Caley's table to indicate rotating a square 90, 180, and 270 degrees. They also reflect a square across the vertical and horizontal line. This one-page learning exercise contains eight movements.
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Lesson Plan
Curated OER

Spatial Relations - Week 9

For Teachers 10th - 12th
In this spatial relations worksheet, young scholars identify the number of triangles in a given figure, identify the number of cubes that a plane intersects, and determine the number of line segments in a given cube. This three-page...
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Lesson Plan
Curated OER

Exploring Properties of Rectangular Prisms

For Teachers 8th - 10th
Students explore the properties of rectangular prisms. In this geometry instructional activity, students identify properties of two and three dimensional shapes. They use Cabri technology to create polygons and solve problems.
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Lesson Plan
Curated OER

Special Right Triangles

For Teachers 9th - 10th
Young scholars identify different types of special right triangles. For this geometry lesson, students differentiate between right triangles and isosceles triangles. they construct the triangles using geometry software and make...
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Lesson Plan
Curated OER

Finding the Area of a Parallelogram with Translations

For Teachers 8th - 10th
Students calculate the area of a parallelogram. In this geometry lesson plan, students perform translation using a coordinate plane and coordinate pairs. They perform translation on other polygons.
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Lesson Plan
Curated OER

Finding the Area of a Parallelogram with Translations

For Teachers 8th - 10th
Young scholars calculate the area of parallelograms. In this geometry lesson plan, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
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Lesson Plan
Curated OER

Exploring the Properties of Rectangular Prisms.

For Teachers 9th - 10th
Students define properties of rectangular prisms. For this geometry lesson, students identify the relationship between two and three dimensional objects. They use Cabri technology to graph their figures.
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Lesson Plan
Curated OER

Square Graphs

For Teachers 7th - 11th
Students identify the different properties of quadrilaterals. In this geometry-lesson, students define parallel sides and diagonals of polygons as they compare to a quadrilateral. They identify the methods to find the angles in a...
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Worksheet
Curated OER

Geometry Regents Bimodal

For Students 9th - 10th
In this geometry worksheet, learners solve problems that are bimodal. They define properties of circles and triangles. There are 117 questions.