FRACTION ACTIVITY:
Contents
On a piece of card board draw a large circle and some smaller shapes such as circles, triangles, rectangles, squares. Allow the child to cut out the shapes and colour them. Use the smaller shapes as toppings for the large circle. Record how many shapes were used to make your pizza.
![Understanding how fractions are represented](http://studyassistant.org/wp-content/uploads/2020/01/pizza0384.png)
Fractions may be challenging, but it is important you develop a good grasp of fractions concepts as these lessons are related to numbers, decimals, percentages, measurement, and ratio and proportion.
![This image has an empty alt attribute; its file name is sharing.png](http://studyassistant.org/wp-content/uploads/2019/10/sharing.png)
In order to get a better understanding of fractions, here are some activities you can do:
- Cut equal strips of paper or show by folding. Cut or fold the first strip in half, the second in thirds, the third in fourths, and so on.
- Draw a number line on a piece of paper. Draw the line 2 cm long. Show by number the points 1, ¼,½, ¾, 1, and so on.
- On a geoboard, show various shapes. Then show the following fractions: ¼,½, and ¾.
- Use grids on a paper to draw various shapes and show the following fractions: ¼,½, and ¾.
- Use pattern blocks to show the following fractions: ¼,½, and ¾.
- Draw various shapes, triangle, rhombus, square, rectangle, pentagon, etc. Show the fractions: ¼,½, ¾, etc. Verbally explain the the fractions.
- Compare and show equal fractions.
REPRESENTING FRACTIONS
The activities above would help you understand the representation of equal parts and the how it is represented.
The fraction below shows the numerator as 3 and the denominator as 4.
![This image has an empty alt attribute; its file name is three-quarter.jpg](http://studyassistant.org/wp-content/uploads/2019/10/three-quarter.jpg)
Can you find the area model showing three-quarter?
![This image has an empty alt attribute; its file name is linear-rep.png](http://studyassistant.org/wp-content/uploads/2020/11/linear-rep.png)
Can you find the linear representation of three-quarter in the picture below.
![This image has an empty alt attribute; its file name is linear-representation.png](http://studyassistant.org/wp-content/uploads/2020/11/linear-representation.png)
FRACTIONS USING SET MODELS
Fraction name part of a set. Below shows 10 food items. 7 carrots and 3 cluster of grapes.
![This image has an empty alt attribute; its file name is sets1.png](http://studyassistant.org/wp-content/uploads/2019/10/sets1.png)
Thus: 7 out of 10 represents carrots. 3 out of 10 represents grapes.
EQUIVALENT FRACTIONS
A fraction is a number that names a part of a whole or group.
There are fraction with different numbers that represent the same part of a whole. Their numerator and denominator are different, but their fractional values are the same.
![This image has an empty alt attribute; its file name is equivalent-fractions.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions.png)
Thus, one-half is the same as two-quarters, or three-sixths, and even four-eights.
![This image has an empty alt attribute; its file name is images-1-1.png](http://studyassistant.org/wp-content/uploads/2020/11/images-1-1.png)
Example 1:
![This image has an empty alt attribute; its file name is equivalent-fractions-ex.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions-ex.png)
The equivalent fractions for two-thirds are:
![This image has an empty alt attribute; its file name is equivalent-fractions-112.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions-112.png)
Example 2: Equivalent fractions for one-half.
![This image has an empty alt attribute; its file name is images-2.png](http://studyassistant.org/wp-content/uploads/2020/11/images-2.png)
REDUCING FRACTIONS
Just as you multiply to get equivalent fractions. You can also divide to get equivalent fractions.
WORKSHEETS
UNDERSTANDING FRACTIONS – HOW FRACTIONS ARE REPRESENTED
FRACTION ACTIVITY:
On a piece of card board draw a large circle and some smaller shapes such as circles, triangles, rectangles, squares. Allow the child to cut out the shapes and colour them. Use the smaller shapes as toppings for the large circle. Record how many shapes were used to make your pizza.
![This image has an empty alt attribute; its file name is pizza0384.png](http://studyassistant.org/wp-content/uploads/2020/01/pizza0384.png)
Fractions may be challenging, but it is important you develop a good grasp of fractions concepts as these lessons are related to numbers, decimals, percentages, measurement, and ratio and proportion.
![This image has an empty alt attribute; its file name is sharing.png](http://studyassistant.org/wp-content/uploads/2019/10/sharing.png)
In order to get a better understanding of fractions, here are some activities you can do:
- Cut equal strips of paper or show by folding. Cut or fold the first strip in half, the second in thirds, the third in fourths, and so on.
- Draw a number line on a piece of paper. Draw the line 2 cm long. Show by number the points 1, ¼,½, ¾, 1, and so on.
- On a geoboard, show various shapes. Then show the following fractions: ¼,½, and ¾.
- Use grids on a paper to draw various shapes and show the following fractions: ¼,½, and ¾.
- Use pattern blocks to show the following fractions: ¼,½, and ¾.
- Draw various shapes, triangle, rhombus, square, rectangle, pentagon, etc. Show the fractions: ¼,½, ¾, etc. Verbally explain the the fractions.
- Compare and show equal fractions.
REPRESENTING FRACTIONS
The activities above would help you understand the representation of equal parts and the how it is represented.
The fraction below shows the numerator as 3 and the denominator as 4.
![This image has an empty alt attribute; its file name is three-quarter.jpg](http://studyassistant.org/wp-content/uploads/2019/10/three-quarter.jpg)
Can you find the area model showing three-quarter?
![This image has an empty alt attribute; its file name is linear-rep.png](http://studyassistant.org/wp-content/uploads/2020/11/linear-rep.png)
Can you find the linear representation of three-quarter in the picture below.
![This image has an empty alt attribute; its file name is linear-representation.png](http://studyassistant.org/wp-content/uploads/2020/11/linear-representation.png)
FRACTIONS USING SET MODELS
Fraction name part of a set. Below shows 10 food items. 7 carrots and 3 cluster of grapes.
![This image has an empty alt attribute; its file name is sets1.png](http://studyassistant.org/wp-content/uploads/2019/10/sets1.png)
Thus: 7 out of 10 represents carrots. 3 out of 10 represents grapes.
PAGE BREAK
EQUIVALENT FRACTIONS
A fraction is a number that names a part of a whole or group.
There are fraction with different numbers that represent the same part of a whole. Their numerator and denominator are different, but their fractional values are the same.
![This image has an empty alt attribute; its file name is equivalent-fractions.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions.png)
Thus, one-half is the same as two-quarters, or three-sixths, and even four-eights.
![This image has an empty alt attribute; its file name is images-1-1.png](http://studyassistant.org/wp-content/uploads/2020/11/images-1-1.png)
Example 1:
![This image has an empty alt attribute; its file name is equivalent-fractions-ex.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions-ex.png)
The equivalent fractions for two-thirds are:
![This image has an empty alt attribute; its file name is equivalent-fractions-112.png](http://studyassistant.org/wp-content/uploads/2020/11/equivalent-fractions-112.png)
Example 2: Equivalent fractions for one-half.
![This image has an empty alt attribute; its file name is images-2.png](http://studyassistant.org/wp-content/uploads/2020/11/images-2.png)
REDUCING FRACTIONS
Just as you multiply to get equivalent fractions. You can also divide to get equivalent fractions.