The Game of Creative Mathematics! Michele Krisher, Supervisor - - PowerPoint PPT Presentation

The Game of Creative Mathematics!

Michele Krisher, Supervisor Trumbull County ESC

OVERVIEW

 Game format designed to allow students to

use math skills and game strategies for successful play.

 Increases student awareness of the power of

mathematical equations.

 Heightens student interest in mathematical

• perations and equation formation.

 Allows for creative manipulation of

mathematical operations and equation formation.

Goal of the Game

To earn points either by:

• 1. correctly challenging
• ther players, or
• 2. being incorrectly

challenged by another player.

Game Requirements

Playing Mat Resource Cubes Timing Device Paper Pencils Score Sheet

RESOURCES

• 24 Cubes—6 of each color;

black, red, blue, & green

• Numerals & operations on

the face of the cubes create the RESOURCES.

• The resources change each

time the cubes are rolled.

• There are no symbols of

grouping on the cubes.

Operation Signs

Addition is indicated by use of the + . Subtraction is indicated by use of the – . Multiplication is indicated by use of the x . Division is indicated by use of the Exponents are indicated by the use of * . Root is indicated by the use of the radical sign. There are no grouping of symbols such as parentheses or brackets; however, when writing solutions, they must be used when necessary.

Playing Mat

 Contains 3 major sections:

Forbidden – indicates that this cube can no longer be used in forming the equation Permitted – indicates that this cube may be used in forming the equation Required – indicates that this cube must be used in forming the equation

 Solution line – cubes should never be moved to this

section during play

 Goal line – cubes are placed here by the goal setter

Playing EQUATIONS

 3 or 4 people may play together.

• Each new roll is called a SHAKE.

 In tournament play, a MATCH may be comprised by

“a few” or “many” shakes. A match is generally determined by the length of time EQUATIONS is played.

 To begin, each player rolls a red cube.  Operation signs are valued less than zero.  If all players roll operation signs, each player must

re-roll a red cube.

 The player with the highest numeral on the red cube,

becomes the first GOAL SETTER.

A player by any other name…

1.

Goal Setter - the person who sets the goal for the shake. The person to the left of a current goal setter becomes the next goal setter.

2.

Mover – the person whose turn it is to make a move in the shake.

3.

Player – the person who is waiting for his/her turn to move. In a 4-player match, there would be two players.

Basic Rules

GOAL Rule MOVE Rule SOLUTION Rule CHALLENGE Rule CORRECTNESS Rule SCORING Rule LAST CUBE Rule FORCE OUT Rule

EQUATIONS

Goal Rule

 The goal setter rolls the cubes for the shake.  Goal setter has up to 2 minutes to set the goal.  The goal may contain as few as 1 or as many as 5

cubes.

 The goal may contain one- or two-digit numerals.  The goal must form a legal expression:

For example: 5 or 1x5+0 or 55-50

 The goal is set when the goal setter states, “Goal”.

3 5 +

Move Rule

 The person to the left of the goal setter

becomes the first mover.

 Once the goal has been set, the mover may

either place a cube on the playing mat or call a challenge.

 The first mover has up to 2 minutes to make

the first move of the shake.

 After the first move of the shake, each mover

has up to 1 minute to make a move.

Solution Rule

 It must contain all cubes in required, may

contain cubes in permitted and none of the cubes in forbidden.

 May not contain two-digit numerals.  It must be written on paper.  Must contain at least two cubes.  Must use parentheses and/or brackets to

show the order of operations!

{5X [3X ( 1+2 ) ] } + 1 = 46

Challenge Rule

There are two kinds of challenges:

• 1. NOW Challenge – using no more than 1 additional

cube from the resources, all the cubes in required, perhaps some cubes in permitted and no cubes from forbidden-a player can create a solutions that satisfies the goal; or

• 2. NEVER Challenge – given the resources in play, it

is not possible to create a solution that satisfies the goal.

Challenge Rule Continued

 A player may make a challenge “out-of-turn” by

picking up the challenge block. Within 15 seconds, he/she must state which type of challenge is being made.

 A player challenges the last mover.  A player cannot challenge himself/herself.  The third or fourth parties must either agree with the

challenger’s choice, or side with the person who has been challenged – the most recent mover. These players must write their solutions independently.

 ALL SOLUTIONS MUST BE WRITTEN ON

PAPER!

Correctness Rule

A player is correct if his/her solution satisfies the goal under the conditions of the stated challenge. A player is correct if his/her move is being challenged and the player who called the challenge is unable to write a correct solution. Solutions must be written on paper & form a legal mathematical expression. Players must agree to the correctness of the solution and indicate their acceptance by initializing the score sheet at the end of the match.

Scoring Rule

 If you are correct, you get 10

points; unless you agree with the Challenger-then you only get 8 points for being correct.

 You get 6 points if you are

incorrect.

Last Cube Rule

 If there is only 1 cube left in the resources,

the only challenge that can be made is a NEVER.

 If a NEVER challenge is not called, the

mover must place the cube on to the mat.

 All players must now write a solution.  Each player with a correct solution receives

8 points; incorrect solutions are worth 6 points.

5

Force Out Rule

 When there are two or more cubes left in the

resources, a mover may call, “force out”.

 This indicates that the mover feels that no matter

where he/she places a cube, a challenge will be called on him/her.

 If the force out situation is valid (no move could be

made) each player who can write a correct solution receives 8 points; incorrect solutions receive 6 points.

 If play should have continued, the mover calling the

force out receives 0 points, others score 6 points.

Tips & Tricks

 Ambiguous Goals

A goal setter must physically separate the cubes when there is more than 1 operation sign in the goal to indicate proper interpretation. Examples: 2x3 +1 = 7 2x 3+1 = 8

• r

2x3+1 = 7 or 8!!

Tip & Tricks Continued

 Once a cube touches the mat, it cannot be moved

until the end of the shake.

 The goal setter may “reorganize” cubes for the

goal once they are placed on the mat, but they cannot be removed from the mat.

 A “2” cube is not necessary in front of the radical

sign to indicate the “square” root; however, any

• ther indexes must be indicated by a numeral in

front of the radical sign.

 Solutions must use parentheses/brackets if the

solution would otherwise be ambiguous.