Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
Virginia Department of Education
Pythagorean Theorem
Investigate the meaning of the Pythagorean Theorem through modeling. After comparing the area of the square of each side, individuals cut triangles and squares to facilitate the comparison.
Curated OER
Finding the Area of Triangles
Twelfth graders apply the formula for finding the area of a triangle to various problems. They work real life problems for finding the area of a bathroom and the cost of tiling it. They play a game, Triangle Bingo, where they match...
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Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. In 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...
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Perimeter of Triangles and Rectangles
Fifth graders study perimeter. In this math lesson, 5th graders use Cheerios to find the perimeter of various polygons. Students discuss how to figure the perimeter of triangles, squares and rectangles.
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Volume, Surface Area for Rectangular & Triangular Prisms
Seventh graders explore the concept of rectangular and triangular prisms. In this rectangular and triangular prism instructional activity, 7th graders identify various prisms as triangular or rectangular. Students discuss the various...
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Similar Triangles
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
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Finding The Area Of Shapes
Fourth graders investigate the concept of computing the area using different shapes. They use prior knowledge in order to devise a formula for a parallelogram. Scaffolding is provided by the teacher to find the formula of area for...
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Investigation: Area of Geometric Shapes
Fourth graders explore geometry by utilizing pattern blocks. In this pattern lesson plan, 4th graders analyze two separate pattern block shapes and discuss which one is bigger and smaller. Students collaborate in small groups to create...
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Isosceles Triangles
Students identify the properties of an isosceles triangle. In this geometry lesson, students find the midpoint, median and angle bisector of a triangle. They construct angle bisectors and measure missing angles.
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Exterior and Interior Angles of Triangles
Tenth graders explore the exterior and interior angles of triangles. They use a theorem in order to prove a theorem about all polygons. Students use the theorem and its applications to find the angles of different types of triangles.
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The Greedy Triangle
Third graders use the book "The Greedy Triangle" to practice measuring perimeter and area. They also calculate the length of objects.
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Special Right Triangles
Students identify the different parts of a right triangle. In this geometry instructional activity, students use the Pythagorean Theorem to identify missing sides and angles of a right triangle. They work with irrational and rational roots.
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How To Find the Area of a Square And Rectangle
Learners practice using the formula to calculate the area of a square or triangle. They participate in large group guided practice using simple area of squares problems then complete a series of problems calculating the area of rectangles.
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Length, Perimeter, and Area
Students explore the concepts of length, perimeter and area. Students develop an understanding of length, perimeter, and area. Students calculate the area and perimeter of random shapes and calculate the area and perimeter of a triangle...
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Finding the Area of a Parallelogram with Translations
Students calculate the area of parallelograms. In this geometry lesson, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
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Geometry: Area Project
Sixth graders identify and use area formulas for finding the area of geometric shapes.
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Area
Students use different shapes that represent tangrams to determine the area of a space. In this area lesson plan, students trace shapes and have their partners determine the area of that shape.
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Area and Perimeter
Learners explore area and perimeter. In this math lesson plan, students differentiate between area and perimeter and compute the area and perimeter of an object.
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Geometry of Circles - Week 7 (Area & Circumference)
For this circle worksheet, young scholars solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...
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Central Valley Math Project
Middle schoolers study the Pythagorean Theorem. They describe what it means to square a number. Pupilsuse the Pythagorean Theorem to prove the sides of given triangles, and use geometric pieces of paper to create a right triangle and...
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nvestigation - Justin and Daniel's Puzzles
Seventh graders explore area and perimeter, using tangram pieces. They discover the area and perimeter of rectangles and squares. After experimentation, 7th graders write a rule for finding the perimeter and area of squares and rectangles.
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The Trapping of Trapezoids
This is a nice hands-on activity where young geometers create trapezoids and calculate their area by looking at areas of quadrilaterals and triangles.
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Fill and Wrap It Up
Middle schoolers find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area,...