Saturday, March 8, 2008

Fractions of Arrays

What amount of the array below is red?

To figure this out, we need to talk about fractions. Now that we have become experts with arrays, columns, and rows, we have moved into separating our arrays into fractional parts. Time for a quick fraction review?
A fraction is a part of a whole. The bottom number of a fractions is called the denominator. It tells you the size of the units that you have. The top number of a fraction is called the numerator. It tells you how many units you have. In the example to the left, the one half tells us that there are two units. One of the units is red.
We have been using wholes, halves, thirds, and fourths in creating our rectangular arrays. Students use square tiles to create these arrays in class. To recreate this at home, simply cut out the squares of the one-inch graph paper and arrange them in different arrays. Let's look at some examples below.

Figure A: This figure shows one whole. The entire array is green, so we say that one whole of the array is green.

Figure B: This figure shows one half. Three pieces of the array are red and three pieces of the array are green. The array is broken into two equal colors, so we say that one half of the array is red and one half of the array is green.

Figure C: This figure shows thirds. Two pieces of the array are blue, two pieces of the array are green, two pieces of the array are red. The array is broken into three equal colors, so we say that one third of the array is blue, one third is green, and one third is red.

Figure D: This figure shows fourths. Two pieces of the array are yellow, two pieces of the array are green, two pieces of the array are red, two pieces of the array are blue. The array is broken into four equal colors, so we say that one fourth of the array is yellow, one fourth is green, one fourth is red, and one fourth is blue.

What are fractions? Kind-friendly explanation.

What is 1 whole? Kid-friendly explanation.

What fraction is shown? Game

Match the Fractions Game

Ed Helper Fractions You do need a subscription to this site to access most of the practice sheets, however the subscription is well worth it! (You can also have access to practice reading comprehension tests, vocabulary and language practice, science, social studies, etc. with the subscription.)