• Integers – positive whole numbers, negative whole numbers and zero.

• Absolute Value – the distance of a number away from zero. Symbol | |

• Example: | 2| = 2 ; | -4| = 4

• Opposites – a number that is the same distance away from zero on the other side

• Example: 5 opposite is -5; -7 opposite is 7

-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12

M7A1.2.3 M7A1.2.1

2.1 Integers and Absolute Value

M7A3.2.2 M8A3.3.1

2.2 Addition of Integers

• Adding numbers with the same sign:1. Add the numbers together

2. The answer is the same sign as the numbers• Examples: 3 + 12 = 15; -6 + -3 = -9

• Adding numbers of different signs:1. Subtract the numbers

2. The answer is the same sign as the larger number• Examples: 10 + (-2) = 8; -15 + 4 = -11

• Subtracting Integers:– Change the subtraction to addition– Change the second number to it’s opposite– Follow the addition rules– Examples:– 9 – 12 = 9 + (-12) = -3– -5 –10 = -5 + (-10) = -15

M7A3.2.2 M8A3.3.1

2.3 Subtraction of Integers

•Multiplying numbers with the same sign:–Multiply the numbers–The answer is positive

•Examples: 3 x 12 = 36

•Multiplying numbers with the different signs :–Multiply the numbers–The answer is negative

•Examples: 10 x (-2) = -20

M8A3.3.1

2.4 Multiplication of Integers

2.5 Division of Integers•Dividing numbers with the same sign:

–Divide the numbers–The answer is positive

•Examples: -6 ÷ -3 = 2 15/(3) = 5

•Dividing numbers with the different signs :

–Divide the numbers–The answer is negative

•Examples: 10 ÷ (-2) = -5 -12/3 = 4

• Coordinate system – is a grid created when you cross the x and y axis at zero

• X-axis – the horizontal axis

• Y-axis – the vertical axis

• Origin – the point (0,0)• Ordered pair – (x

coordinate, y coordinate)

• Example: A (2, -3); B (-3, 2)

origin

-1

-3

-2

-4

-1-2-3

3

32

2

1

1

Quadrant IQuadrant II

Quadrant III Quadrant IV● A

● B

M8C3.1.1 M7C3.1.1 M7C3.1.2

2.8 Integers in the Coordinate system

2.7 Distributive property

• 6(2+3) = 6(2) + 6(3) = 12 +18 = 30

• 3(a+2) = 3(a) + 3(2) = 3a + 2

• 2(x+7) + x + 6 =

distribute first: 2x+ 2(7) + x + 6 =

simplify: 2x + 14 + x + 6

combine like terms: 3x + 20

Final answer: 3x + 20

2. 9 Open Ended

Work Explain

Show all your work

Even your things you

did on the calculator

Use Magic Words:

To find To show

Therefore Since