![]() Using (a) and (b), find all possible pairs $(m,n)$įor a regular tessellation of the plane. Show that for any such tesselation, we must have $m \geq 3$ and, using part (a), that $n \leq 6$. In this problem you will discover some very strong restrictions on possible tesselations of the plane, stemming from the fact that that each interior angle of an $n$ sided regular polygon measures $\frac\right) = 360. Of a regular tessellation which can be continued indefinitely in all directions: ![]() The checkerboard pattern below is an example If any two polygons in the tessellation either do not meet, share a vertex only, If all polygons in the tessellation are congruent regular polygons and For example, part of a tessellation with rectangles is See the image attribution section for more information.A tessellation of the plane is an arrangement of polygons which cover the plane without gaps or overlapping. Openly licensed images remain under the terms of their respective licenses. This site includes public domain images or openly licensed images that are copyrighted by their respective owners. The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics. Spanish translation of the "B" assessments are copyright 2020 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). The second set of English assessments (marked as set "B") are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). Īdaptations and updates to IM 6–8 Math are copyright 2019 by Illustrative Mathematics, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).Īdaptations to add additional English language learner supports are copyright 2019 by Open Up Resources, and are licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). You will also compute area and find dimensions of triangles and various types of quadrilaterals. You will investigate shapes that tessellate a plane and shapes that do not. OUR's 6–8 Math Curriculum is available at. POLYGONS, TESSELLATIONS, AND AREA In this unit you will learn what a polygon is and isn’t. It is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0). IM 6–8 Math was originally developed by Open Up Resources and authored by Illustrative Mathematics®, and is copyright 2017-2019 by Open Up Resources. Point out that this activity provides a mathematical justification for the “yes” in the table for triangles and hexagons. (It shows a tessellation with equilateral triangles.) You can make infinite rows of triangles that can be placed on top of one another-and displaced relative to one another.)Ĭonsider showing students an isometric grid, used earlier in grade 8 for experimenting with transformations, and ask them how this relates to tessellations.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |