Partitioning A Circle Into Two and Four Equal Parts

Throughout the activity you will be able to explore the differences between one half and one fourth of a circle. You will be able to see these differences from angles to the number of parts making up the circle. You will use a straight line which has an angle of 180 degrees to construct the bisection of the circle. You will use the straight line, which was used to create halves to represent 1/2 of the circle to form a perpendicular line. All four angles that are created should equal 90 degrees. If they do not equal 90 degrees then you know that your circle is not split into four equal parts (representing 1/4). CCSS.MATH.CONTENT.1.G.A.3 Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.