12/29/2023 0 Comments Cool tessellation ideas index cards![]() Materials: Index card, 3" x 5" Ruler Scissors Blank paper Pencil Transparent tape Colored markers or pens 2.5" x 3" Grid paper (included) Try This: Step 1 Cut an index card in half, creating a 2.5" x 3" rectangle. ![]() Now you can make a different kind of tessellation by turning (rotating), or by flipping over (reflecting) the pattern to a new position before copying it again. Does your shape look like a fish? A bird? An elephant? Part Two: Making a Different Kind of Tessellation You ve made translation tessellations by tracing a pattern, then sliding it to a new position and tracing it again. EXPLORING TESSELLATIONS Grades 6 8 Ĥ Step 10 Look for a clever way to color in the resulting design on your sheet of paper. In math, translation means shifting the position of a shape without moving it in any other way. If you start with side A facing up do you ever have to turn it over to side B to make your tessellation? If you only have to slide the piece without flipping it over or rotating it, then you are making a translation tessellation. Can you figure out where to place the pattern so that your paper will be covered with repetitions of this shape with no overlaps and no gaps? Try to cover your whole sheet of paper by tracing the pattern, moving it, then tracing it again. Step 9 On your grid paper, carefully trace around your pattern shape. What s the area of this shape? Write the letter A on one side of the shape and turn it over and write the letter B on the other side. You have now created a shape that you can use as a pattern to make a tessellation. Line up the straight edges and tape them together. Take the piece you cut off and slide it straight across to the opposite side of the shape. EXPLORING TESSELLATIONS Grades 6 8 ģ Step 6 Now draw another line that connects two adjacent corners on one of the short sides of the shape. Line up the cut edges of the shape as you trace it. Can you tessellate with this shape? Try tracing this shape several times, creating a row going across a piece of paper. Line up the long, straight edges of the two pieces and tape them together. Take the piece you cut off and slide it straight across to the opposite long side of the rectangle. Step 4 Step 5 Cut along the line you drew. Whatever its shape, your line must connect two corners that share one side of the rectangle. Your line can be squiggly or made up of straight segments. Draw a line between two adjacent corners on one of the long sides of the rectangle. Step 2 Step 3 Find the area of the rectangle (length x width). Escher gallery at: Try This: Step 1 Cut an index card in half, creating a 2.5" x 3" rectangle. EXPLORING TESSELLATIONS Grades 6 8 Ģ Materials: Index card 3" x 5" Ruler Scissors Blank paper Pencil Transparent tape Colored markers or pens 2.5" x 3" Grid paper (included) Optional: Printed example of a tessellation to show students before starting activity. In this activity, you re going to transform a rectangle into a more interesting shape, then make a tessellation by repeating that shape over and over again. You could cover it with square tiles, since squares fit together without leaving any gaps. Part One: Making a Translation Tessellation Suppose you wanted to cover a floor with tiles. Making tessellations combines the creativity of an art project with the challenge of solving a puzzle. Escher used tessellation to create enchanting patterns of interlocking creatures, such as birds and fish. ![]() ![]() Early Persian and Islamic artists also created spectacular tessellating designs. Over 2,200 years ago, ancient Greeks were decorating their homes with tessellations, making elaborate mosaics from tiny, square tiles. The pattern of bricks on a wall is a tessellation made of rectangles. The squares meet edge to edge with no gaps and no overlapping areas. A checkerboard is a tessellation made of squares. 1 Activities Grades EXPLORING TESSELLATIONS Background: What is a tessellation? A tessellation is any pattern made of repeating shapes that covers a surface completely without overlapping or leaving any gaps.
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