Halving and Sharing
This week we are going to be learning about halving and sharing. The children will learn to halve quantities by sharing items into two equal groups. The children will probably already have some experience of sharing and will be quick to point out when groups are not shared fairly. The distinction between fair and unfair sharing can be used to emphasise the idea of half as being one of two equal parts.
Once children can confidently halve small quantities, they can explore sharing between 3 or 4 people. They will notice that sometimes there are items left over and may come up with their own suggestions for how to resolve this.
Below is a list of recommended activities linked to halving first, and then sharing into equal groups. Try to complete one activity from the daily list to support your child's growing understanding of halving and sharing.
Introduce the concept of ‘halving’ explaining that this is when we share items into two equal groups.
Show the children a bowl of objects e.g. strawberries, grapes, buttons etc. Explain that you are going to share them into 2 equal groups so there’ll be half for you and half for another family member. Put a handful straight onto each plate without counting - make sure that one plate has much more items than the other. Ask if that is fair. Prompt them to show you how to halve the group into two equal groups. Repeat again, but with other examples.
Explore halving visually through ‘The Story of Halving’ PowerPoint which is attached below. As you are working through, make sure your child has some objects which they can use to halve different amounts into two groups.
Revisit the terminology of halving which was introduced yesterday. Can you explain what this means to someone at home?
Play Teddy Bear Picnic - Provide two bears, two plates, even quantities of loose parts and a set of even number cards. Select a number card e.g. 10 and ask your child to count out that number of objects. Ask your child to share out the loose parts equally so that each teddy gets the same amount.
Representing Halving - Using the attached sheet, can you work with your child to represent their mathematical thinking in relation to halving. Make sure you have some practical items with you to help you with your problem solving
When children become confident in halving objects and numbers, begin providing opportunities for the children to share numbers between larger groups.
Sharing between larger groups is one that can be explored at various points throughout the day. You could even start this during a little snack break! Pop a bowl of grapes, strawberries etc. in the middle of a table and place some plates around the table. Can you ask your child to share the 6 grapes between the three plates, how many do you have on each plate? A useful way to approach this is by chanting; one for me, one for you etc. Repeat this with other amounts e.g. 8 items and four plates; 9 items and 3 plates.
Explore sharing into larger groups visually through the ‘Fairy Tale Party’ PowerPoint attached below. The activity explores sharing an even number of cakes between lots of party guests. As you are working through the PowerPoint, try to have some practical objects available so your child is able to physically manipulate the resources into groups before looking at the answer.
Puppet Problems - Introduce a cheeky puppet or toy. Explain that the puppet/toy is supposed to hand out objects into groups fairly but keeps making mistakes so some groups have more than others. Can you help share the objects equally so that each group has the same amount?
Knock Knock - This activity explores sharing out 12 pretend ‘chocolate chips cookies’ Begin by explaining ‘We’re going to share out these 12 cookies so you and I have an equal number. Can you put them into two equal groups? Once the cookies have been successfully shared into two groups of 6, knock on the table. ‘Someone is at the door and would like to see us. Let’s give them some cookies too! We now need to share the 12 cookies into three equal groups.’ Continue this approach, adding an additional person each time. How many ways can you find to put 12 objects into equal groups?
Representing Sharing into Groups - Using the attached sheet, can you work with your child to represent their mathematical thinking in relation to sharing into equal groups. Make sure you have some practical items with you to help you with your problem solving. As an additional challenge once you have pictorially represented your thinking, you may wish to try to record your answers as repeated addition. For example if you share 6 sweets between three people this would look like 2+2+2=6