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Lesson Plan
Illustrative Mathematics

What is a Trapezoid? (Part 2)

For Teachers 4th - 6th Standards
This collaborative activity investigates the meaning of a trapezoid and a parallelogram. It begins by presenting two different definitions of a trapezoid. Learners are to reason abstractly the difference between the two definitions and...
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Lesson Plan
Illustrative Mathematics

What is a Trapezoid? (Part 1)

For Teachers 3rd - 5th Standards
Challenge your class to construct a definition for trapezoids. Looking at four examples and four non-examples, students individually create definitions and use them to classify an unknown shape. Allow for small group and whole-class...
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Lesson Plan
Curated OER

Developing Formulas for Triangles and Quadrilaterals

For Teachers 10th
In this geometry worksheet, 10th graders determine the area of triangles, parallelograms, trapezoids, kites, and rhombuses. The one page worksheet contains eleven problems. Answers are included.
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Lesson Plan
Curated OER

Properties of Parallelograms

For Teachers 9th - 11th
Young scholars identify different properties of parallelograms. In this geometry lesson, students complete problems that proves the theorems and properties of parallelograms. They graph the different shapes on paper.
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Lesson Plan
Curated OER

Why Do We Add The Bases To Find The Area of A Trapezoid?

For Teachers 6th - 8th
Students are given patterns of trapezoids and are to calculate the area of one trapezoid by using both patterns. They should form a parallelogram and calculate the area. They practice this technique until there is understanding.
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Lesson Plan
Curated OER

Perimeter & Area Worksheet I

For Teachers 7th - 8th
For this perimeter and area worksheet, learners find the perimeter and area of regular polygons. They identify the perimeter and area of polygons such as triangles, trapezoids, circles, rectangles, and parallelograms. Students write the...
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Lesson Plan
Curated OER

The Trappings of Trapezoids

For Teachers 8th - 10th
Learners define trapezoids and their shapes. In this geometry lesson, students calculate the area of a trapezoid and a parallelogram. They use Cabri software to make investigations.
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Lesson Plan
Curated OER

An Introduction to Quadrilaterals

For Teachers 9th - 12th
Students explore the concept of quadrilaterals. In this quadrilateral lesson, students play with a floor tile applet to see that there are many types and characteristics of quadrilaterals including parallelograms, trapezoids, rectangles,...
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Lesson Plan
Government of Hong Kong

Areas and Volumes - 2D Shapes

For Teachers 3rd - 6th Standards
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
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Lesson Plan
Willow Tree

Area of Common Geometric Figures

For Students 8th - 11th Standards
Scholars can use area formulas, but can they apply what they know about area? The lesson plan challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and...
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Lesson Plan
Curated OER

Areas of Trapezoids, Rhombuses and Kites

For Teachers 8th - 10th
Students calculate the area of different polygons. In this geometry lesson, students find the area for trapezoids, rhombuses and kites.
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Lesson Plan
Curated OER

Area Formulas

For Teachers 6th - 8th
Students use the area formula for a rectangle to identify the area formulas for triangles, parallelograms, and trapezoids. In groups they complete a variety of worksheets, and examine irregular figures whose areas can be determined by...
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Lesson Plan
Curated OER

Polygons, Parallelograms, Quadrilaterals- Oh My!!!

For Teachers 3rd - 5th
Students demonstrate their comprehension of shapes and their properties. They work in small groups. Students review the following terms: property, polygon, quadrilateral, and parallelogram. They read Shape Up! Fun With Triangles and...
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Lesson Plan
Curated OER

Area of Parallelograms

For Teachers 7th
Seventh graders review the process of finding the area of a rectangle and complete a couple of examples as a class. They discuss what a parallelogram is and what the formula would be for finding its area. They listen to an explanation...
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Lesson Plan
Curated OER

Tricky Traps

For Teachers 9th - 11th
Students create identify properties of trapezoids. In this geometry instructional activity, students calculate the area of given trapezoids and review the area formula for parallelograms. They draw a correlation between the area of a...
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Lesson Plan
Curated OER

Algebra/Geometry Institute: Area of Polygons

For Teachers 6th - 8th
Students find the area of polygons.  For this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons.  They identify each given figure and determine the appropriate formula needed to...
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Lesson Plan
Curated OER

Investigation-Looking at Polygons

For Teachers 8th
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
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Lesson Plan
Curated OER

Properties of Special Parallelograms

For Teachers 9th - 10th
Students identify properties of trapezoids. In this geometry lesson, students are put into groups and use computer programs to analyze polygons. They drag and move the shapes around as they make predictions.
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Lesson Plan
Curated OER

Classifying Quadrilaterals

For Teachers 4th - 8th
Students cut out three different shapes and put them in the correct categories of parallelograms, trapezoids, and trapeziums. In this parallelogram lesson plan, students explain the sums of the angles of a triangle and a quadrilateral.
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Lesson Plan
Curated OER

Can You Make Quadrilaterals?

For Teachers 2nd - 4th
Students identify and describe squares, rectangles, parallelograms, trapezoids, and kites. In this quadrilaterals lesson plan, students put the quadrilateral shapes into a chart.
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Lesson Plan
Curated OER

Investigating Area Relationships

For Teachers 9th - 12th Standards
Learners investigate the area of various figures. They construct triangles and quadrilaterals using Cabri Jr. and discuss the relationships between different angles, side lengths, and figures.
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Lesson Plan
Curated OER

Quadrilaterals

For Teachers 3rd - 6th
Students construct a variety of four-sided figures using a K'NEX Geometry Set. They view and discuss pictures of shapes, then in small groups they construct as many four-sided shapes as possible using the K'NEX Rods and Connectors. As a...
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Lesson Plan
Illustrative Mathematics

Lines of Symmetry for Quadrilaterals

For Teachers 3rd - 5th Standards
Explore how lines of symmetry help define different categories of quadrilaterals. Looking at a square, rectangle, trapezoid, and parallelogram, young mathematicians discover that each shape has its own, unique symmetry. Encourage your...
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Lesson Plan
Curated OER

Finding the Area of Shapes

For Teachers 3rd - 5th
In this area of shapes unit, upper graders participate in hands-on problem solving activities to find the formulas for the area of a parallelogram, a triangle, and a trapezoid. They manipulate the geoboard to explore relationships among...

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