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Integers

Objectives

- To learn what is meant by
- the word integer.

2. To learn a visual representation of adding

integers.

Integers

Real Numbers

Rational numbers -6,0,-2/3, 25/7,

7 1/12

Algebraic Numbers

in the Number System

Integers -2,-1,0,1,2,3,

Whole numbers 0,1,2,3,4,

Natural numbers 1,2,3,4,

Integers

- Judith has a cell phone plan that allows her to

talk 25 anytime minutes. - She uses her cell phone to speak to Nestor for 15

minutes. - She uses it again to talk 20 minutes to Markus.
- How many minutes did Judith talk on her cell

phone? - Does Judith have minutes left on her plan?
- Why?

Integers Real World Connections

- Judith has a cell phone plan that allows her to

talk 25 anytime minutes. - She uses her cell phone to speak to Nestor for 15

minutes. - She uses it again to talk 20 minutes to Markus.
- How many minutes did Judith talk on her cell

phone? - How many minutes are left on her plan (without

rollover) or how many minutes did she go over her

allowed minutes? - How can this number be labeled on the graph?

35

10 minutes over

Integers Real World Connections

- Team Peitgen and Team Voss are playing a game of

football. - Team Peitgen throws a pass from their 5 yard line

and the pass is completed for 40 yards. - If their quarterback is sacked and loses 20

yards, how many total yards were gained on the

two plays combined?

Integers Real World Connections

- Team Peitgen and Team Voss are playing a game of

football.

Integers Real World Connections

Team Peitgen throws a pass from their 5 yard line

and the pass is completed for 40 yards.

If their quarterback is sacked and loses 20

yards, how many total yards did they gain on the

two plays combined?

Integers Real World Connections

- Ana enters the elevator from the basement of the

parking garage and takes it to the 11th floor for

lecture. - She takes the elevator two floors down for a

workshop. - On what floor will Ana be if she then goes down

seven floors for a snack. - How many flights did she travel in total (up and

down)?

Integers Real World Connections

- Ana enters the elevator from the basement of the

parking garage and takes it to the 11th floor for

lecture. - She takes the elevator two floors down for a

workshop. - On what floor will Ana be if she then goes down

seven floors for a snack. - How many flights did she travel in total (up and

down)?

Adding Integers Number Line

4 4

Answer 8

Adding Integers Number Line

3 (-5)

Answer -2

Number Line - Rules

- Counter starts at zero (0)
- Counter moves right for each positive number
- Counter moves left for each negative number
- The answer is where the counter ends on the

number line.

Integers Number Line

- Worksheet and Board Activities

(No Transcript)

Integers with Counter

3 (-6)

3

-6

-3

Counter - Rules

- Green represent positive numbers
- Red represent negative numbers
- One color cancels out the other
- Ex. One red cancels out one green
- The number of the items left is the answer and

the color represents the sign.

Integers Counter

- Worksheet and Board Activities

Integers with Counter

Adding Integers Same Sign Rules

- When adding numbers of the same signs, add the

numbers, and keep the sign. - Example 1 3 4 7 Since the signs of both

numbers are positive, the answer is positive. - Example 2 (-4) (-2) -6 Since the signs

of both numbers are negative, the answer is

negative.

Adding Integers Different Sign Rules

- When adding numbers of the opposite signs, take

their absolute values, subtract the smaller from

the larger, and give the result the sign of the

number with the larger absolute value. - Example 1 7 (-4) 7 - 4 3 Since the

larger absolute value was 7, give the result the

same sign as 7, which is positive. Answer is 3. - Example 2 2 (-6) 6 - 2 4 Since the

larger absolute value was 6, give the result the

same sign as -6, which was negative. Answer is

-4.

Adding Integers

- Dynamic Worksheet Activity
- (GeoGebra)