Warm- Up 10-13-14Use pgs. 199 and 200 in

your workbook.Work on Hands on

Activity 1 and 2

Operations With Integers

-Make sure to add to your TABLE of Contents

Page Number, Title, and Date.

Skip a page and title it Absolute

Value• Write each absolute value.• A. I10 I B. I-8I C.

I0I

What are Integers?

• Integers are just whole numbersNumbers like 1 or

2Even like 2,153

• Integers can be negativeLike -3 or -5Even -3,403,69

• Integers are not decimals or fractions Not 4.5 or 2.1320421 Not 1/2 or 3/4

• Not negative decimals or fractions Not -2.3 or -98.576 Not -4/5 or -5/8

Adding with Color Counters

• Think of each Yellow Chip as positive 1• Think of each Red Chip as negative 1

1 -1

Each red chip cancels out a yellow chip– Think of it like money. A yellow chip is

money you earn (like allowance) and a red chip is money you spend (on Doritos)

+ = Nothin’ (You spent all your money on Doritos)

This goes for each chip. If we have 8 yellows and 8 reds, each red still cancels out a yellow.

+ =Still Nothing

Now you spent all 8 dollars you had on Doritos!

Now if we have 4 yellow chips, and 3 red, we have a yellow left over.

+ =

Now, replace your chips with numbers.

+ =

+ =4 -3 1

How about this one? Can you predict what’s left over?

+ =

Now, replace your chips with numbers.

+ =

+ =-5 3 -2

Now it’s your turn.

1.) Which color chip represents NEGATIVE one?

a.) b.)

Oops… Let’s review

• Think of each Yellow Chip as positive 1• Think of each Red Chip as negative 1

1 -1

a.) 6 b.) 5

c.) -5 d.) -3

Great Job! Next Question

2.) How much is represented in the picture?

Oops… Let’s review

Think of each Yellow Chip as positive 1

1

1 1= 3

a.) OneYellow

b.) Two Yellows

c.) Two Reds

d.) Nothing!

Awesome! Next question…

3.) How much is left?

+ =

Oops… Let’s review

+ =

Each red cancels out a yellow.Only one yellow is left

a.) 3

b.) 9

c.) -9

d.) -3

Nice! Last question…

4.) What is the sum?

+ =

Oops… Let’s reviewRemember… replace your chips with numbers.

+ =-5 3 -2

Adding Integers with a Hiker

• Imagine you are a hiker standing on a number line.

The 3 Things you NEED to know

• The Starting Number• The Direction to face• How much to Walk

Starting Point• The first number in an addition

problem is your starting point• This is where you, the hiker, will stand

Example

3 + -4 = ?

Starting Point

Direction to Face

• The operation symbol tells us which direction to face. – Addition: Face Positive– Subtraction: Face Negative

Example

3 + -4 = ?

Direction to Face

positivenegative

Where to Walk

• The last number tells us how many spaces to walk– Positive: Walk Forwards– Negative: Walk Backwards

Example

3 + -4 = ?

Way to walk

Backward 4

Last Step

• Literally… where did you end up on the number line?– This is your final answer

Example

3 + -4 = -1

Ending Point

Now you give it a try…

1. Given this equation, which hiker is in the correct starting place?

-5 + 6 = ?

Very Good!Next. Using the same equation, which direction should you face?

-5 + 6 = ?

positivenegative

No, that’s not it… but why?

Addition: Face PositiveSubtraction: Face Negative

Hint: Look to see if there is a plus sign or a minus sign between numbers

Question

6 + -9 = ?

a.) 15 b.) -3

c.) 3 d.) -15

Model Question

Test Review

Turn 12.45% into a decimal and a fraction.

•Use place value to determine your denominator for the fraction. •Simplify your answer.

Test Review

Test Review

Test Review

Test Review Compare and Order

Rational Numbers

Test ReviewCompare

and Order Rational Numbers

Test Review

Test Review Question