Math 1120 Fraction Patterns Worksheet With Answers

Math 1120 Fraction Patterns Worksheet With Answers - 2011

Name:

Math 1120

Fraction Patterns Worksheet Solutions

Spring 2011

In this worksheet, we investigate fraction patterns. Build the following ﬁgures using your “pattern

blocks.” In the spaces provided, draw a small illustration of each completed ﬁgure. (I’ve done (a) for

you, to get you started.)

1. (a) Build a parallelogram that is 1 4 green and 3 4 blue.

Solution: There are several possibilities. Some are shown here.

(b) Build a trapezoid that is 1 2 red and 1 2 blue.

Solution: The main idea here is that the red trapezoid pieces have an area that is

the size

of the area of the blue parallelograms. Thus, if we use 2 red pieces and 3 blue pieces, the

area used by each color will be the same. Again, there are multiple ways of doing this. A

couple solutions are given below.

You should notice that the following is NOT a solution, as the red piece represents

of the

total area, while the blue pieces give

of the area.

Solution: Here are two possible solutions.

Math 1120 Fraction Patterns Worksheet With Answers - 2011