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Lesson Plan
Illinois State Board of Education

Geoboard Areas

For Teachers 6th - 8th Standards
Middle school geometers determine the area of a shape on a geoboard or dot paper and draw figures that meet given area conditions. Working as a class, they develop and discuss various ways to draw geometric shapes with specified...
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Worksheet
Curated OER

Area of Triangles

For Students 5th - 6th
In this area worksheet, students calculate the area of 4 triangles, writing answers in rectangles beneath each triangle. A reference web site is given for additional activities.
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Assessment
EngageNY

End-of-Module Assessment Task: Pre-Calculus Module 4

For Students 11th - 12th Standards
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
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Worksheet
Curated OER

Law of Sines and Cosines

For Students 10th - 12th
In this sine and cosine worksheet, learners solve given triangles using the law of sines and cosines. They determine the area of triangles. This three-page worksheet contains 12 multi-step problems.
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Assessment
Concord Consortium

Three Rubber Bands

For Students 7th - 12th Standards
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...
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Worksheet
Curated OER

Geometric Figures

For Students 10th
In this geometric figures worksheet, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...
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Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students measure prisms and determine their volume. In this measurement and reasoning activity, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
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Lesson Plan
Curated OER

Quadrilateral Attributes

For Teachers 7th - 8th
Students classify quadrilaterals. In this quadrilateral lesson, students identify the characteristics of quadrilaterals. They write their findings in a journal. Students use geoboards to create quadrilaterals from given descriptions.
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Lesson Plan
Curated OER

Exploring Areas of Irregular Polygons

For Teachers 9th - 12th Standards
Students solve for the area of different polygons. In this geometry lesson, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
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Lesson Plan
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Cord Online

Pyramids and Cones

For Teachers 8th - 11th Standards
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
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Activity
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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young 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....
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Assessment
Noyce Foundation

Pizza Crusts

For Teachers 6th Standards
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
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Lesson Plan
Mathematics Assessment Project

Discovering the Pythagorean Theorem

For Teachers 8th Standards
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.
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Worksheet
Curated OER

Bermuda Triangle: Map Activity

For Students 4th - 5th
In this Bermuda triangle learning exercise, learners complete a set of 4 questions using a given map of the Bermuda triangle. Answers are included on page 2.
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Worksheet
Curated OER

Area Puzzles

For Students 5th - 6th
In this area puzzle worksheet, students the area in square units of 3 triangles, then use those areas and line segments to find find the area of a different set of figures. 
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Worksheet
Curated OER

Area and Perimeter of Triangles

For Students 5th - 6th
In this area/perimeter worksheet, students find perimeter and area of 6 given triangles. An answer key is included on page 2.
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Lesson Plan
Curated OER

Triangles with Collinear Circumcenters

For Teachers 9th - 10th
Students identify the circumcenter of a triangle. In this geometry lesson, students construct a perpendicular bisector using a straight edge and a compass. They differentiate between triangles and collinear points.
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Lesson Plan
Curated OER

Twenty-Five Measures of the Angles of a Triangle Problems

For Teachers 9th - 10th
In this triangle worksheet, young scholars calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities.  The solutions are provided.
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Interactive
Curated OER

A Trying Triangle Problem

For Students 8th - 10th
In this geometry worksheet, students calculate the length of the sides of a given triangle. They also find the perimeter and area of the triangles given its side values. There is an answer key with this problem.
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Lesson Plan
Curated OER

Why can't We Use SSA to Prove Triangles Congruent?

For Teachers 9th - 10th
Students investigate triangles and congruences. In this geometry lesson plan, students differentiate between inductive and deductive reasoning. They differentiate between similar and congruent triangles.
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Lesson Plan
Curated OER

Isosceles Triangle Investigation

For Teachers 9th - 12th
Learners solve problems with isosceles triangles. In this geometry lesson, students identify and use the properties of triangles to solve their problems. They find the median, altitude, and angles to the triangles.
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Worksheet
Curated OER

Area and Perimeter of Various Shapes

For Students 5th - 6th
In this area and perimeter activity, students find each for 6 given shapes. A website reference for additional resources and an answer key are provided.
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Lesson Plan
Curated OER

Areas of Polygons

For Teachers 8th - 10th
Students calculate the are of regular polygons. In this geometry activity, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.
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Lesson Plan
Curated OER

Area of irregular Polygons: Historical Motivator - Lewis and Clark Adventure

For Teachers 7th
Seventh graders find the area of irregular polygons. For this lesson on calculating area, 7th graders use the adventures of Lewis and Clark as motivation to learn how to calculate the area of irregular polygons.