Bell Work:

Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (1) = 0 ).(click to see animation)(This process is known as ZERO PAIRING.)Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (1) = 0 ).

Color Chip Model for Operations of IntegersColor Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 When a black chip is combined with a red chip, they will cancel each other (because 1 + (1) = 0 ).Color Chip Model for Operations of IntegersAddition means combining sets of chips

Example: (3) + 5+++++(click to see animation)Color Chip Model for Operations of IntegersAddition means combining sets of chips

Example: (3) + 5+++++Color Chip Model for Operations of IntegersAddition means combining sets of chips

Example: (3) + 5+

++++Color Chip Model for Operations of IntegersAddition means combining sets of chips

Example: (3) + 5++There are only 2 black chips left, so the answer is +2.Example for Lab1. Use Color chips to perform 3 + 8start with 3 red chipsbring in 8 black chipscancel out blk-red pairs, and there will be 5 black chips left, hence the answer is 5.Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.(click to see animation)Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (-1) + 1.

Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.Color Chip Model for Operations of Integersa black chip represents +1a red chip represents 1 On the other hand, a pair of red & black chips can also appear from thin air, because 0 = (1) + 1.Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 There are not enough chips to take away, so we need to bring in pairs of red/black chips. (click to see animation)Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 Now we have enough black chips to take away. (click)Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 There are 3 red chips left, so the answer to 4 7 is -3Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 There are not enough chips to take away, so we need to bring in pairs of red/black chips. (click to see animation)Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 Now we have enough black chips to take away. (click)Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 Color Chip Model for Operations of IntegersSubtraction means taking away of chips

Example: 4 7 There are 3 red chips left, so the answer to 4 7 is -3Example for Lab2. Use Color chips to perform 4 (2)start with 4 black chipsWant to take away 2 red chip, but there is no red chips, so bring in 2 red-black pairs.Now take way 2 red chips, and the answer is seen to be 6.