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🍪 Sharing Equally

Dividing is really just sharing fairly. Learn what 'equal' means, then two easy ways to do it: deal things out one by one onto plates, or gather them into equal groups and count the groups.

5
lessons
~15 min
to learn
🔢 Math
subject
Adults
level
Start the course →

What you’ll learn

  1. What Fair MeansUnderstand that a fair share means everyone gets the same amount, and that this is called dividing.Sharing fairly means each person gets the same amount. Splitting a set into equal shares is called dividing. An unfair split (one person gets more) is not dividing; a fair split gives every share the same size.
  2. Share One by OneDivide by dealing objects out one at a time into equal shares and reading the answer from one share.One way to divide is to deal objects out one at a time, like cards, until they are gone; the shares stay equal. Because every share is the same, you can count just one share for the answer. For example, 6 shared between 2 is 3 each, and 8 shared between 2 is 4 each.
  3. Make Equal GroupsDivide by making equal-sized groups and counting how many groups you made.A second way to divide is grouping: put the same number in each group and count how many groups you made. For example, 6 apples in bags of 2 makes 3 bags. Sharing and grouping look different but both make equal amounts.
  4. Sharing StoriesSolve simple everyday sharing problems and understand that some shares leave a leftover.Dividing appears everywhere, from slicing pizza to handing out grapes. Everyday problems like 10 shared by 2 (5 each) or 12 shared by 3 (4 each) use the same equal-sharing idea. Sometimes a share does not come out evenly and one is left over, which is normal.
  5. You're a Sharer NowRecall both methods of dividing and apply them to share fairly in real life.Dividing means making equal amounts. You can share one by one onto plates, or make equal groups and count the groups; both give a fair result. Leftovers can be cut up or saved. These tools let a child share snacks or toys fairly.

Questions this course answers

What does it mean to share something fairly?

A fair share, or dividing, means everyone gets the same amount.

You share 6 grapes between 2 plates, one at a time. How many grapes are on each plate?

Dealing 6 grapes one by one onto 2 plates gives 3 on each plate. 6 shared between 2 is 3 each.

After you deal everything out equally, what is the quick way to find the answer?

Because every plate has the same amount, counting one plate tells you the answer for each.

You have 8 apples and put them in bags of 2. How many bags do you make?

Filling bags with 2 apples each uses 4 bags to hold all 8 apples. 8 grouped in 2s is 4 groups.

What is the same about sharing onto plates and making equal groups?

Both ways of dividing do the same big job: they make equal amounts.

You share 12 stickers equally among 3 friends. How many stickers does each friend get?

12 shared between 3 friends is 4 each — deal them out and each pile has 4.

Grounded in trusted sources

  • NRICH, University of Cambridge — Let Us Divide! (division problems built from stories of sharing and grouping) (https://nrich.maths.org/problems/let-us-divide)
  • NRICH, University of Cambridge — Difficulties With Division (sharing 12 between 3 gives 4 each; division as sharing and as grouping) (https://nrich.maths.org/5450)

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