Search Results (131)
This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.
In this activity, learners use a hand-made protractor to measure angles they find in playground equipment. Learners will observe that angle measurements do not change with distance, because they are distance invariant, or constant. Note: The "Pocket Protractor" activity should be done ahead as a separate activity (see related resource), but a standard protractor can be used as a substitute.
With this applet, students can examine the angles in a triangle, quadrilateral, pentagon, hexagon, heptagon or octagon. They can change the shape of the figure by dragging the vertices; the size of each angle is shown and the sum of the interior angles calculated. Students are challenged to find a relationship between the number of sides and the sum of the interior angles.
This lesson unit is intended to help you assess how well students are able to use geometric properties to solve problems. In particular, it will support you in identifying and helping students who have the following difficulties: Solving problems relating to using the measures of the interior angles of polygons; and solving problems relating to using the measures of the exterior angles of polygons.
In this math activity, learners explore the history of the Stomachion (an ancient tangram-type puzzle), use the pieces to create other figures, learn about symmetry and transformations, and investigate the areas of the pieces. The Stomachion, believed to have been created by Archimedes, consists of 14 pieces cut from a square, which can be rearranged to form other interesting shapes.
This unit will introduce and practice the concepts of area and perimeter. This unit uses resources of Shodor Education Foundation, Inc. Permission has been granted for the use of the Shodor materials as part of the workshop-"Interactivate Your Bored Math Students" by Shodor Education Foundation, Inc.
- Material Type:
- Lesson Plan
- University of North Carolina at Chapel Hill School of Education
- Provider Set:
- LEARN NC Lesson Plans
- Bonnie Boaz
In this activity, learners add squares to paper dominoes to make polyominoes. Learners explore how many ways they can arrange squares to create trominoes (three squares), tetrominoes (four squares), and pentominoes (five squares). Learners also calculate the perimeters and areas of each polyomino as well as experiment with rotation and reflection.
Is it possible to drive a bicycle with polygonal wheels? Yes! It's just a matter to get a suitable road! Please, see www.maa.org/mathland/mathtrek_04_05_04.html www.maa.org/mathland/mathtrek_04_05_04.html a