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A Tool for Teaching Fractions

New Curriculum for Basic 1

Basic 1 Mathematics

Sub-Strand 3: Fractions

 

B1.1.3.1

Develop an understanding of halves using concrete and pictorial representations

 

B1.1.3.1.1

Understand the fraction one-half as the quantity obtained by taking 1 part when a whole is partitioned into two equal parts

We use pictorial representations to explain the fraction half as the quantity obtained by taking 1 part when a whole object is partitioned into two equal parts.

 

To make Circles, halves and other fractions:

 

1. Use a compass or a round container / lid to draw 6 (or more) Circles on cardboard:

Make the Circles big enough so that children at the back of your class can see them.
Make the Circles big enough so that children at the back of your class can see them.

 

2. Cut out the Circles:

 

 

3. Optional: paint or colour the Circles in different colours:

 

 

 

4. With a ruler, draw the diameter on 1 of the Circles. This is the longest line you can draw between two points on the edge of the circle. If you used a compass, simply draw the line over the small hole that the needle has made:

 

5. Cut the Circle in half:

 

6. Take another Circle; cut it in 3 pieces, like this:

 

 

7. Take some more Circles, and cut them in 6, 4 and 8 pieces, like this:

 

 

 8. Leave at least one of the Circles whole:

 

Make as many sets of Circles as you will need for your lesson. Children could work in groups of 3 or 4, using one set among them.

There should be one whole Circle for each child.

 

 

Steps in Teaching:

 

 

1. Show a whole Circle:

 

 

2. Show the 2 halves. Place one of the halves on the whole, and demonstrate how the 2 halves together make a whole:

 


 

3. Place 2 of the 1/3 pieces on the whole. Ask the children if it is a half?

 

Place any of the other fractions, and ask the same question.

 

 


 

4. Repeat steps 2 and 3 until all children see and understand what a ‘half’ is.

 

 

5. Give each group a set of Circles.

 

 

6. The children make halves with the different fraction pieces. They can each use a whole Circle as base:

 

 


You can use the same set of Circles to also teach other aspects of Fractions.

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