Number (order and place value)
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Bigger or smaller (Investigation)


In this chapter you have been choosing whether numbers are

$<$< (less than) or $>$> (greater than) other numbers.  

Find a partner and try this game for practice. The winner is the last person to write down a number!


  • An empty playing board (you can make this yourself or use a template like this one)
  • a coin, where heads means less than and tails means greater than


Get Ready

  • Pick a maximum number ($100$100 or $1000$1000 might be best the first time you play) and a minimum number ($0$0 might be best at first).
  • Find the number half way between the maximum and minimum.  This is the middle number.
  • Write all three numbers on their squares in the race track.  Put the minimum number at the start and the maximum number at the finish.

Game Rules

  • Take turns tossing the coin.
  • If you toss heads - write a number less than the last number written (or the middle number if you're starting off)
  • If you toss tails - write a number greater than the last number written
  • All numbers on the track must go in order.
  • The last person who can write down a number is the winner!


  • Change the maximum and minimum numbers.  
  • Try new rules like "no even numbers," or "all numbers must be multiples of $5$5."
  • Give it a fun spin, like "the winner is the player who puts $4$4 of their own numbers in a row."

Example Game

Player one tosses heads,  and would have to write a number that is less than the middle number. They write the number $30$30.

Player two tosses a tail.  They have to write a number that is bigger than $30$30, they could write in the $60$60 or $40$40 for example. 



would both be acceptable.

Play continues until...

Player 2 just wrote down the number $46$46, player $1$1 tosses a smaller than, but there is no space for them to write in a number smaller than $46$46. So Player $2$2 is the winner!


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