Use Area to Solve Problems Portfolio

Question

Create an original design using only the figures given (the pages at the end of this
portfolio contain shapes that can be printed). The side lengths of all of the shapes are
the same so that you can line up their edges to create a tiling. Your design can use
any combination of shapes, but you must use at least one of each shape in your
design. The design you create can be as simple or as complex as you want. It can
have a repeating pattern or it can be random, but it must fit on a single sheet of
paper. Your design can make a recognizable shape or it can be abstract. Use your
imagination

Answer 1

and creativity to come up with a design that showcases your understanding of using area to solve problems.

For my original design, I decided to create a simple yet visually striking pattern using the given shapes. I used a combination of rectangles, triangles, and hexagons to create a repeating geometric pattern that is both aesthetically pleasing and mathematically interesting.

I started by arranging the rectangles in a grid pattern, with the triangles filling in the gaps between them. I then added the hexagons at the intersections of the rectangles, creating a layered effect that adds depth to the design.

To add visual interest, I decided to alternate between black and white shapes, creating a stark contrast that highlights the geometric shapes and creates a sense of movement in the design.

Overall, I am pleased with how my design turned out. It is a simple yet effective use of the given shapes, showcasing how different shapes can be combined to create a visually interesting pattern. It also demonstrates my understanding of using area to solve problems, as I had to carefully calculate the placement of each shape to ensure they fit together seamlessly on the page.