Skip to content

Fair Sharing Steps

Sharing fairly is an algorithm with rules. Deal one each, then another round, until the pile is gone. Compare plans so nobody gets shorted.

Class 3 to 5beginner15 min3 lessons
By the end you will be able to
  • Describe round-robin sharing as repeated steps
  • Compare a fair plan with a grab-first plan
  • Check that every person got the same count

Lesson 1 of 3

One for you, one for me

Ten biscuits and five friends need a fair plan. Grab the biggest first is fast but unfair. A better algorithm deals one biscuit to each person, then repeats until the pile is empty.

Round by round, everyone gets the same chance. If two biscuits remain at the end, you might cut them in half or save them for later, but the rule stays clear.

Watch the compare animation. See one big pile versus equal shares dealt in turns.

Continue

Lesson 2 of 3

Check your work

After sharing, count what each person holds. Fair means the same number, or the same size if you cut things in half.

If someone has more, the algorithm broke or someone cheated. Go back to the steps and find where the deal skipped a person.

Odd leftovers happen. Twelve sweets and five people leaves two. The plan should say what to do before you start, not argue after.

Continue

Lesson 3 of 3

Rules in games too

Board games use the same idea. Take turns moving. Roll dice, move, next player. The order is part of the fun and keeps fights away.

When rules are written down, new players can join without guessing. That is why game boxes print a step list inside the lid.

Next you will read game rules as full algorithms. Every turn, every win condition, is a step in the plan.

Continue

Practice

Work these out yourself

No answer key here on purpose: these are the questions worth thinking through before you move on. Open one and work it out.

0/3 attempted

Assessment

Check your understanding

Answer each question, then read the explanation. That is where the learning is.

0/4
  1. Question 1: Round-robin sharing means what?
    Question 1 / 4

    Round-robin sharing means what?

    Select an option first
  2. Question 2: Grab the biggest first is unfair because what?
    Question 2 / 4

    Grab the biggest first is unfair because what?

    Select an option first
  3. Question 3: After sharing, you should what?
    Question 3 / 4

    After sharing, you should what?

    Select an option first
  4. Question 4: Two biscuits left and five people means the plan should what?
    Question 4 / 4

    Two biscuits left and five people means the plan should what?

    Select an option first
4 of 4 questions left.

Finished this topic?

0 of 3 lessons marked done. Marking the topic complete ticks the rest.