# Number Game with Random Digits

## Basic Information

Swati shares a game from Swanirvar/Shikshamitra that assesses number operations and demands higher order thinking skills. Did we tell you that it is a cheating proof game!?

Duration:
00 hours 40 mins
Introduction:

• This game can be used to practice addition, subtraction, multiplication and also division
• This game facilitates higher order thinking in math
• It needs at least 2 players – the more the merrier!!
Objective:

In each case the goal should be to get either the maximum number or the minimum

(Note to the instructor)

1. Grid possibilities

• Keep the total number of boxes at most 9 in any grid
• Ideally have 6-8 boxes in a grid
• Addition grids can have 2-4 rows of same or varying lengths
• Subtraction and multiplication grids can have 2 rows with 2-4 digits each
• In subtraction, a player might encounter negative answer – if that happens before introduction to integer, the player has to abstain from playing that round
• For division, the dividend can be 4-7 digits and the divisor 1-2 digits

2. Why not repeat?

• Using repeated digits may make the game too random to strategize
• The ulterior motive is to develop higher order thinking while strategizing
• If it is too random, this purpose gets defeated
Activity Steps:

How to play

• Each player makes or gets the grid chosen by the facilitator
• (Sample grids are included in last two slides)
• Facilitator announces the goal i.e. maximum or minimum
• Facilitator dictates a digit (from 0, 1, 2, 3 … 9)
• Each player must immediately write it in one of the boxes
• Once written, it can not be changed
• Zero can not be written as a leading digit
• Facilitator dictates more digits without repetition and players keep writing till the grid is filled
• Once the grid is filled each player computes his/her corresponding answer
• Note that since the digits are randomized, copying/cheating from others does not help!!
• Cross check answers and then compare them to find the winner
• It is a good idea to compute the maximum/minimum that would have been possible with the given digits
• It is possible that no player actually got the theoretical maximum/minimum

Here is are some template examples (make your own)

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