Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 183

Giving Raises

A small company wants to give raises to their 5 employees. They have $10,000 available to distribute. Imagine that you are in charge of deciding how the raises should be determined.


  1. What are some variables you should consider?

  2. Describe mathematically as many different methods you can think of to distribute the raises. (We came up with nine; can you beat that?)

  3. What information will you need to compute those raises according to your various methods?

  4. Which of your methods do you feel is the most fair?

Use an atbash cipher decoder: http://rumkin.com/tools/cipher/atbash.php

  1. zm vjfzo znlfmg, gdl gslfhzmw vzxs.

  2. vjfzo kvixvmgztv yzhvw lm hzozib.

  3. mvklgrhn: 1p, 1p, 1p, 1p, Ldmvi'h hlm: 6p.

  4. R'n lmv lu gsv vnkolbvvh: 0p, 0p, 0p, 0p, nv: 10p

  5. kilwfxgrergb tlzoh: 1p, 1p, 2p, 2p, 4p

  6. olggvib, zoo li mlgsrmt.

  7. olggvib, 0p, 1p, 2p, 3p, 4p.

  8. zokszyvgrxzo liwvi, 0p, 1p, 2p, 3p, 4p.

  9. vnkolbvv'h xsrow'h gvhg hxlivh rm gsv olxzo hxsllo ... ru gsviv'h ml rnkilevnvmg, ml ylmfh.


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Source: Illustrative Math
source: illustrativemathematics.org
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