![]() ![]() Have tried to tessellate a triangle using the same vertex at the same point, Have the students speculate whether all triangles tessellate Students take out all of their triangular tessellations for use in theīesides the regular triangle, how many of you found aĭifferent triangle that tessellated? (All triangles should have tessellated.) Sum is a multiple of 180 (degrees in a triangle) times the number of Tracings of that polygon that fit around a point.) When you divide 360 by the angle measure for these polygons Point, so in order for a shape to fit around a point, the angles must be a Why is this important? (There are 360 degrees around a Why did they tessellate? (Their interior angle measure was a ![]() ![]() (An equilateral triangle, a square, and a regular hexagon.) Which regular polygons did your group find to tessellate? Should have all of their work from that lesson on hand. If you have time as a group, or on your own, you may try more.Ĭhart for Investigation of Regular Polygonsīuilds on concepts the students should have discovered doing the cooperative Each member in your group should try at least one of each type (triangle, See Figure 2 below.) If the triangle tessellates, fill the entireĭifferent types of quadrilaterals (rectangles, kites, parallelograms,ĭifferent pentagons and hexagons also. The same vertex of the triangle at the point, flip the piece over to get aĭifferent vertex at the point, but keeping the congruent sides together. Out, and trace it on a blank piece of paper around a point to see if it Have each member of your group make aĭifferent type of triangle (obtuse, acute, isosceles, etc.), cut the triangle Investigate some non-regular polygons, and see if they tessellate. ![]() How are the number of triangles related to the number of How are the number of triangles found in a polygon related (How could you check these answers?) Is this measure a factor of 360? Fill in the chart accordingly.įrom the information in your chart, state why some regular Information, determine the measure of one of the interior angles. That each of those triangles contains 180 degrees, you should be able to findįill in the number of triangles each polygon was divided into and the number of Know, divide the polygon into triangles by drawing segments from one vertex to Sum of the interior angles in each polygon, and filling in that part of the The rest of the chart will help you see why some regular polygons tessellate In the corresponding box on the chart ("Does it Tessellate?"). If the polygon tessellates, fill the entire piece of paper with the The region around point P without overlapping or leaving gaps. Step three as often as necessary to determine whether the polygon covers The sides of the traced polygon, then trace the polygon again. Your polygon piece around point P so one of its sides connects with one of Polygons among your group and follow the following directions for each one:Ī plain piece of paper and trace the polygon onto the paper. Have copies of nine regular polygons, paper, and a chart on regular polygons to Group what a polygon is, and write your group's definition below:įirst you will study regular polygons. Translation are not only important in these works of art, but are importantĬoncepts of math that artists, designers, engineers, and others use on aĬoncepts can also be found to occur in nature, and are what gives nature itsīegin to create tessellations like Escher's, you need to study their building Tessellations are also fascinating to studyįor the mathematics that are involved in the patterns. Even simple tessellations have many patterns that catch the eye. (If you have pictures of these available, your group may wish to look atĪre fascinating even just to look at. Tessellations can be as simple as these two examples, or as complex as a Tessellations that can be found every day are square tiles that cover a floorĪnd rectangular bricks that make walls. Tessellations, or tilings, are patterns of polygon shapes thatĬompletely cover a plane surface without overlapping and without leaving any Trending Questions What plants have no moons? What particles are in space? How does earths orbit affect it's tilted hemispheres? An angle of 1 arcsecond is? What conditions in the sun's core allow the plasma state to exist? What does Omovo's father say might happen during an eclipse of the moon? What is Caroline herschel law? Where does a star spend most of its life on an hr diagram? What is leibniz's calculator? How many moons does Saturn have? Where does the sun rises and sets? How can the Doppler shift explain wavelength shifts in both light and sound? The parallax of the nearest star Proxima Centauri is 0.Introduction to Tessellations - Cooperative Activityīegin a short unit on tessellations. ![]()
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