Sharing | Year 3 Mathematics PDF Download

How sharing equally relates to division

• The concept of sharing is often used to illustrate division.
• When a quantity is divided equally among individuals, it determines the size of each portion that each person receives.

Sharing Equally

• Sharing equally ensures that everyone receives the same amount, while unequal sharing results in different amounts for each individual.
• This presentation will guide you through distributing quantities equally in sets of 10s, 2s, and 5s.

Practice Sharing Equally:

You can practice sharing equally by following the examples. To start, gather 20 small items like blocks or buttons and draw 10 circles on a blank sheet of paper.

• We will explore sharing equally in groups of 10, 2, and 5.
  
• When 20 number blocks are shared equally among 10 circles, each circle gets 2 number blocks.
  
• When 10 number blocks are shared equally among 10 circles, each circle gets 1 number block.
  
• You can see how 10 and 20 are shared equally among 10 circles. What happens when we share 30 and 40 equally among 10 circles?
  
• When 30 number blocks are shared equally among 10 circles, each circle gets 3 number blocks. When 40 number blocks are shared equally among 10 circles, each circle gets 4 number blocks.
  
• Let's share in groups of 2. When 4 number blocks are shared equally among 2 circles, each circle gets 2 number blocks. When 8 number blocks are shared among 2 circles, each circle gets 4. When 12 number blocks are shared among 2 circles, each circle gets 6. When 16 number blocks are shared among 2 circles, each circle gets 8.
  
• Now let's share in groups of 5. When 5 number blocks are shared equally among 5 circles, each circle gets 1 number block. When 10 number blocks are shared among 5 circles, each circle gets 2. When 15 number blocks are shared among 5 circles, each circle gets 3. When 20 number blocks are shared among 5 circles, each circle gets 4.

Division symbol

The division symbol (÷) shows how numbers can be shared equally among a group.

For instance:

• Here are 20 slices of cake and 5 children. If they share out the cake equally, how many slices does each person get?
  
• Each person gets 4 cupcakes because 20 shared between 5 is 4. Shared between means divided by. Writing this mathematically we would write 20 ÷ 5 = 4

What does the ÷ symbol mean?

• Meaning of the Symbol: The divide symbol (÷) signifies 'shared between'. For instance, 20 ÷ 5 = 4 implies that 20 'shared between' 5 equals 4.
• Example: Consider two similar division questions: 20 ÷ 10 and 20 ÷ 2. We find that 20 ÷ 10 = 2 and 20 ÷ 2 = 10. Despite the slight variation, both questions yield different outcomes due to the division operation.
• Correlation: When dealing with identical numbers in different division problems, knowing the solution to one equation can facilitate solving the other.