# Bigger or smaller (Investigation)

Lesson

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!

## Materials

• 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

and

• 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!

## Variations

• 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.

or

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!