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.
- Describe round-robin sharing as repeated steps
- Compare a fair plan with a grab-first plan
- Check that every person got the same count
Finish first
Topic contents
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.
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.
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.
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.
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Check your understanding
Answer each question, then read the explanation. That is where the learning is.
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