Partitioning Shapes into Equal Parts
Basics on the topic Partitioning Shapes into Equal Parts
Fractions: Halves, Thirds and Fourths
We can partition shapes such as circles, squares, and rectangles into equal parts. They can have two, three, four, and more equal parts! When we do so, fractions in words (halves thirds fourths) can be used to describe each partitioned shape.
When you partition shapes into equal parts of two, three, or four, you can call them halves, thirds, and fourths.
Describing Fractions
You can describe each separate equal part of the partitioned shape as a half of, a third of, and a fourth of.
When we describe the equal parts that make up the whole, we would describe them as two halves, three thirds, and four fourths.
Fractions – Summary
When you partition shapes into equal parts, the individual parts are described as fractions. The names of the fraction depend on how many parts you partition the shape into. The table below shows the fractions’ names as well as how of parts the shape was partitioned into:
Fraction  # of parts 

halves  2 
thirds  3 
fourths  4 
After watching the video, you will find fractions worksheets and interactive exercises for grade 2 (revising halves, thirds and fourths).
Transcript Partitioning Shapes into Equal Parts
Nico and Nia have arrived with all the party food ready for Axel and Tank to share them into equal parts. Let's join in as Axel and Tank teach Nico and Nia all about partitioning shapes into equal parts. Shapes such as circles, squares, and rectangles can be partitioned into equal parts. Partition means to divide into parts. When partitioning shapes equally, we are dividing a shape into parts of the same size. Let's look at the donut Nico and Nia brought! Axel and Tank have decided to partition this into two equal parts, right down the middle, like this. When a shape is divided into two equal parts, each part is called one half. Since they have been partitioned into two equal parts, we call the parts halves. These two halves make up the whole. If Nico ate one part of the donut, we would say there is half of the donut left. Now they have partitioned, or divided, the donut into equal parts, let's look at the sandwich! This time, Axel and Tank decided to partition this into three equal parts, like this. When a figure is divided into three equal parts, each part is one third. How many thirds make up a whole? Three thirds make up the whole. Let's suppose Axel ate two parts of the sandwich. How much would you say is left? You would say there is a third of the sandwich left! Now the sandwich has been partitioned, let's take a look at the sushi Nico and Nia brought! Axel and Tank have decided to partition the sushi into four equal parts, like this. When a figure is divided into four equal parts, each part is one fourth. How many fourths make up a whole? Four fourths make up the whole. Let's suppose Tank ate three part of the sushi. How much sushi is left? You would say there is a fourth of the sushi left! Now the food has successfully been partitioned for the party, let's review! Remember, partition means to divide into parts. You can partition shapes such as circles, squares, and rectangles into equal parts such as halves, thirds, and fourths. You can also say a half of, a third of, or a fourth of when talking about each equal part. Two halves make up a whole. Three thirds make up a whole. And four fourths make up a whole. All their hard work partitioning the food into equal parts has paid off and now EVERYONE is having fun dancing the night away!
Partitioning Shapes into Equal Parts exercise

How many equal parts make a whole?
HintsThink about how many equal parts you need to make one whole.
This image shows halves. How many make one whole circle?
Solution2 halves make a whole.
3 thirds make a whole.
4 fourths make a whole.

How many equal shares?
HintsLook at how many equal parts the food is partitioned into.
Make sure the food is partitioned into equal parts.
If the food isn't partitioned, then it is a whole.
Solution The pie is 1 whole.
 The strawberry cake is divided into 2 halves.
 The brownie is divided into 3 thirds.
 The pizza is divided into 4 fourths.

How many equal shares are there?
HintsLook at how many equal parts the shape is partitioned into.
Remember:
 2 equal shares = 2 halves
 3 equal shares = 3 thirds
 4 equal shares = 4 fourths
Make sure the shape is partitioned into equal parts. If the pieces aren't equal than it will be assigned to the none category.
SolutionLooking at the image:
 The rectangle is partitioned into halves because there are 2 equal parts.
 The circle and square are partitioned into thirds because there are 3 equal parts.
 The circle is partitioned into fourths because there are 4 equal parts.
 The circle and square are none of these because they are partitioned into unequal parts.

Equal shares.
HintsRemember:
 3 equal shares = 3 thirds
 4 equal shares = 4 fourths
To figure out how many pieces are left subtract the amount eaten from how many equal parts that make the whole.
For example, if there are 2 equal parts and 1 piece was eaten then 21 = 1.
SolutionAxel, Tank, and Nia decide to divide their brownie into 3 equal parts, which means each part is one third or a third of the whole brownie.
They know that 3 thirds make up one whole.
If Tank ate 1 equal part of the brownie, then 2 thirds are left.
Axel, Tank, Nia, and Nico decide to divide their cake into 4 equal parts, which means each part is one fourth or a fourth of the whole cake.
They know that 4 fourths make up one whole.
If Nico ate 1 equal part of the cake, then 3 fourths are left.

Which shape is partitioned into three equal shares?
HintsLook for a shape partitioned into 3 pieces.
Make sure all 3 pieces are equal in size and take up the same amount of space.
SolutionThis square is partitioned into three equal shares because there are 3 pieces of equal size and shape.

Order the equal shares.
HintsThe more you partition a shape, the smaller your piece will be.
Look at the image. Which piece is larger?
Which is larger?
 a whole piece
 a piece of the whole that is partitioned equally into 6 parts
SolutionThe more you partition the shape, the smaller the piece becomes.
The order from largest to smallest is:
 whole
 half of
 a third of
 a fourth of
 a sixth of
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