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Instructional Video11:47
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\n\"Proving\n\n
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\nPBS\n
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\nProving Pick's Theorem\n

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\n\nFor Students\n\n10th - Higher Ed\n
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\nPick up a resource on Pick's Theorem. Individuals watch a video explaining how to find the area of a polygon drawn on a lattice using Pick's Theorem. The film also shows a proof of the theorem using the Euler characteristic and algebra.\n
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Lesson Plan
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\n\"Shapes\n\n
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\nCurated OER\n
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\nShapes and Their Insides\n

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\n\nFor Teachers\n\n2nd - 4th\n\nStandards\n
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\nLearners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...\n
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Instructional Video5:42
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\n\"What\n\n
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\nCurated OER\n
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\nWhat is the Formula for the Volume of a Pyramid?\n

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\n\nFor Teachers\n\n6th - 12th\n
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\nThere are a lot of moving parts in this problem. There's the formula for a triangular prism. Then there's the formula for a triangular pyramid. And don't forget the formula for the area of the base of a triangular shape. Get out your...\n
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Lesson Plan
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\n\"Finding\n\n
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\nCurated OER\n
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\nFinding the Area of Regular Polygons\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nHigh schoolers analyze relationship between the increase in polygons sides and a circle. In this geometry instructional activity, students relate the size of the central angle of a polygon, to a circle. They compare the formula for the...\n
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Lesson Plan
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\n\"Areas\n\n
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\nAreas of Regular Polygons and Circles\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nLearners explore area of polygons and regular polygons in this math lesson plan. They calculate the area of several polygons using Cabri Jr. and analyze shapes and write formulas to solve for the area.\n
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Lesson Plan
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\n\"Similarity\n\n
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\nCurated OER\n
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\nSimilarity\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nStudents find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...\n
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Activity
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\n\"Hexagonal\n\n
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\nIllustrative Mathematics\n
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\nHexagonal Pattern of Beehives\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nYoung geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....\n
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\n\"Geometry\n\n
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\nCurated OER\n
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\nGeometry w/o Figures - Week 7 (Basic Geometry Formulas)\n

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\n\nFor Teachers\n\n10th - 12th\n
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\nIn this basic geometry worksheet, students use basic formulas of geometry to find the area of a polygons, the number of sides of a polygon, and sum of the angles of various polygons. This three-page worksheet contains eight problems.\n
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Lesson Plan
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\n\"Finding\n\n
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\nIllustrative Mathematics\n
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\nFinding Areas of Polygons, Variation 1\n

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\n\nFor Teachers\n\n5th - 9th\n\nStandards\n
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\nAn exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...\n
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\n\"Area\n\n
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\nArea Applet\n

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\n\nFor Teachers\n\n3rd - 6th\n
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\nElementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...\n
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\n\"Tantalizing\n\n
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\nTantalizing Tangrams\n

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\n\nFor Teachers\n\n2nd - 4th\n
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\nStudents explore \"area.\"  For this tangram geometry and measurement lesson, students arrange tangram pieces to find the area of characters presented in a story they listen to on a website.  Website information and related...\n
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\n\"Areeas\n\n
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\nAreeas of Parallelograms and Triangles\n

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\n\nFor Teachers\n\n12th\n
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\nTwelfth graders are able to deduce the area of polygons by using several methods such as coordinate method. They are able to apply the area of polygons to real life situations. Students apply the Pythagorean Theorem in problem solving...\n
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Worksheet
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\n\"Shoelace\n\n
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\nShoelace Algorithm\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this shoelace algorithm activity, 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.\n
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\n\"Length,\n\n
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\nLength, Perimeter, and Area\n

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\n\nFor Teachers\n\n2nd - 6th\n
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\nStudents 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...\n
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\n\"Geoboard\n\n
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\nGeoboard Ideas\n

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\n\nFor Teachers\n\n3rd - 4th\n
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\nStudents build polygons on their geoboards. In this geometry lesson plan, students build and then draw it on paper and label it. Students then switch with a partner to try an make a symmetrical shape.\n
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Instructional Video
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\n\"Learn\n\n
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\nImagine Learning Classroom\n
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\nLearn Zillion: Find the Area of a Polygon Using a Key\n

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\n\nFor Students\n\n3rd\n\nStandards\n
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\nIn this lesson, students will learn how to find the area of a polygon by using a key to count the square tiles. [3:57]\n
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Handout
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\n\"Math\n\n
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\nMath Open Reference\n
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\nMath Open Reference: Polygons\n

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\n\nFor Students\n\n9th - 10th\n
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\nGet the definition and properties of a polygon. Then explore such topics as: 1) types of polygon 2) area 3) Perimeter 4) angles associated with polygons and 5) names of polygons.\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Trigonometry: 2003 Aime Ii Problem 14\n

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\n\nFor Students\n\n9th - 10th\n
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\nVideo demonstrates solving a trigonometric problem that includes finding the area of a convex equilateral hexagon in the coordinate plane using trigonometric identities and the Pythagorean Theorem. [18:18]\n
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Study Guide
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\n\"Regents\n\n
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\nRegents Exam Prep Center: Area of Polygons and Circles\n

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\n\nFor Teachers\n\n3rd - 6th\n\nStandards\n
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\nHow would you find the area of a polygon or circle? Explore this concept with engaging activities at this test prep site. Here you will find detailed problem solving strategies with accompanying visuals, a reference table with formulas,...\n
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\nMinisterio De Educacion Y Ciencia: Medidas De Poligonos\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIn Spanish. Interactive activities dealing with the definition, angles and area of a polygon.\n
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Instructional Video
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\nKhan Academy: Using Similar & Congruent Triangles\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nSal uses the similarity of triangles and the congruence of others in this multi-step problem to find the area of a polygon.\n
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Instructional Video
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\n\"Mario's\n\n
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\nMario's Math Tutoring: Find the Area of Regular Polygons\n

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\n\nFor Students\n\n9th - 10th\n
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\nLearn how to find the area of a regular polygon using the formula A=1/2ap in this free math video tutorial [5 mins, 17 secs]with two examples by Mario's Math Tutoring.\n
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Handout
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\n\"Wolfram\n\n
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\nWolfram Math World: Area\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nDefinitions and formulas for the computation of surface areas of triangles, rectangles, and any regular polygon. Helpful links to related pages.\n
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Activity
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\n\"The\n\n
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\nNational Council of Teachers of Mathematics\n
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\nThe Math Forum: Seventh Grade Math: Area and Perimeter\n

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\n\nFor Students\n\n6th - 8th\n
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\nLearn how to enlarge drawings, figure out how much tile to buy to cover a specific floor, and learn about area and perimeter. These and other lesson plans are provided, including a fun interdisciplinary plan featuring dragons.\n
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