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Parts of a Whole
Overview
We can divide shapes into parts. When we divide shapes up, we can find how many parts make up the whole. When we divide things fairly, the parts are EQUAL.
For example, look below. The rectangle is divided into four EQUAL parts. Four PARTS make up the WHOLE rectangle.
Three PARTS are shaded. There are FOUR parts that make up ONE whole rectangle.
Take a look at the examples below. Some of the shapes are EQUAL. Some of the shapes are UNEQUAL. In order to be equal, the pieces must be the same size.
The first column above shows shapes with equal parts. We could share those pieces fairly.
Notice that the rectangle and the square are divided into TWO PARTS. TWO parts make up the WHOLE shape.
The circle is divided into EIGHT PARTS. EIGHT parts make up the whole circle.
The other side shows unequal parts. These pieces would not be shared in a fair way.
Let’s go ahead and try some practice examples.
We will decide how many parts make up the whole shape.
This square is divided into equal parts.
How many parts make up the whole square?
Four parts make up the whole square.
There are FOUR parts.
Let’s take a look at this next example.
We will decide again how many parts make up the whole shape.
This circle is divided into equal parts.
How many parts make up the whole circle?
Twelve parts make up the whole circle.
There are TWELVE parts.
Let’s take it one step further!
We will decide how many parts make up the whole shape first.
This diamond is divided into parts.
How many parts make up the whole diamond?
Four parts make up the whole diamond.
There are FOUR parts.
How many parts of the diamond are shaded in?
THREE of the parts are shaded in.
The diamond is made up of four parts with three of those parts shaded in.
Let’s try another one!
We will decide how many parts make up the whole shape first.
This heart is divided into parts.
How many parts make up the whole heart?
Two parts make up the whole heart.
There are TWO parts.
How many parts of the heart are shaded in?
ONE of the parts is shaded in.
The heart is made up of two parts with one of those parts shaded in.
You are ready to try some practice questions on your own!
Practice Question 1
How many PARTS make up the WHOLE shape?
Count the pieces. How many make up the WHOLE shape?
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Practice Question 2
Let’s try another! How many PARTS make up the WHOLE shape?
Practice Question 3
How many PARTS make up the WHOLE shape?
Practice Question 4
Look at the picture below.
How many PARTS make up the WHOLE shape?
How many parts are SHADED?
Practice Question 5
Look at the picture below.
How many PARTS make up the WHOLE shape?
How many parts are SHADED?
You should now easily be able to identify how many parts create a WHOLE. To figure that out, simply count all the parts.
Challenge yourself and try the quiz below on what you have just learned!
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