Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson.
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Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
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Pythagorean Theorem
Students explore how the Pythagorean Theorem works and how to apply it.
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Up For Change?
Students explore similar objects. They participate in a series of hands-on, multimedia and online activities to examine how the edge length affects the angle measures, perimeters and areas of similar regular polygons. Students find the...
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Transformations and Congruence
In this transformations and congruence worksheet, 10th graders solve and complete 5 different types of problems. First, they calculate the length of a line giving their answer in 3 significant figures. Then, students prove that two...
Mathematics Vision Project
Module 3: Polynomial Functions
An informative module highlights eight polynomial concepts. Learners work with polynomial functions, expressions, and equations through graphing, simplifying, and solving.
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Teddy Bear Shape Cards
Teddy Bears and shape recognition combine using this template, which includes 4 cut-out cards. Each card has a teddy bear with a shape on his middle. Intended for very young elementary, the instructions suggest 2 educational options: cut...
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That Rascal Pascal
Fourth graders use the concept of number patterns to complete a portion of Pascal's Triangle as well as identify and describe the patterns represented.
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It Matters
Students use descriptive vocabulary to discuss the attributes of matter. Then, they sort objects or pictures by the type of matter they are comprised of. Finally, students match objects of matter with similar attributes and create a...
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Committing Crime or Just Having Fun?
Students breakdown different types of youth crime/gangs. Students evaluate the power of peer pressure. Students identify and offer advice for dealing with peer pressure. Students encounter the theory of phenomena.
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Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
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Teaching Polygons using Technology
Third graders utilize different types of computer programs, such as Microsoft paint and Microsoft Word to study and create different types of polygons. They use PowerPoint to create a story about a shape and others that it meets during a...
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An Introduction to Quadrilaterals
Learners explore different types of quadrilaterals. Students define the terminology used with quadrilaterals. They create particular quadrilaterals based on specific characteristics of the quadrilaterals using an online tool.
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Introduction to Fractals: Geometric Fractals
Students explore the concept of fractals. In this fractals instructional activity, students discuss Sierpinski's Triangle using an applet. Students discuss the patterns involved with fractals. Students discuss the area of Sierpinski's...
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I Spy Shapes
Students play a game in which they name geometric shapes. In this geometric shape lesson plan, students ask "yes and no" questions to determine which shape one of their classmates has chosen. They ask questions that lead them to the name...
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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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Friendship Quilt
Third graders name different kinds of shapes and then discuss what they know about them an what they would like to learn using a K-W-L chart whole group. They listen to the book, THE GREEDY TRIANGLE and then retell it to the class. They...
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Investigation: Area of Geometric Shapes
Fourth graders explore geometry by utilizing pattern blocks. In this pattern lesson, 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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Governor's Garden
Students review types of polygons and list several examples of each. They assume the role of a landscape artist interviewing for a job. They create sketches of their plans for six polygonal gardens and write an expository paragraph...
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Tessellations: Geometry and Symmetry
Learners examine tesselllations and their geometric properties. They have a better knowledge of polygons, can identify types of symmetry in tessellations. Also students use visulization, spatial reasoning, and geometric modeling to...
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ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
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Spider Webs
Students create spider webs. In this spider webs instructional activity, students research various types of spider webs then write a report about a spider of their choice. Students also make their own web similar to an orb spider.
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What Is Hyperbolic Geometry?
Ninth graders discuss the concept of hyperbolic geometry. They complete Internet geometry activities and write essays comparing and contrasting hyperbolic geometry to Euclidean geometry.