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CFU - PowerPoint PPT Presentation

Learning Objective Name _____________________ Today, we will add integers. CFU What are we going to do today? Activate (or provide) Prior Knowledge

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Presentation Transcript

• Learning Objective Name _____________________

• Today, we will add integers.

• CFU

• What are we going to do today?

• Activate (or provide) Prior Knowledge

• Jack owes \$10 to his brother. How much will he owe if the following happens?

• Jack receives \$5 from his mom 2. Jack receives \$7from his mom

• and uses it to pay his brother. and uses it to pay his brother.

• Jack borrows \$4 more 4. Jack borrows \$8 more

• from his brother. from his brother.

\$10

\$5

=

\$5

\$10

\$7

=

\$3

\$10

+

\$4

=

\$14

\$10

+

\$8

=

\$18

CFU

In math, money that we receive is considered a positive amount and money that we owe is considered a negative amount. Today, we will use this idea to add integers.

An integer is a positive whole number or a negative whole number.

Positive Integer

NegativeInteger

• Positive integerscan be shown with a (+) sign or with no sign at all.

•Negativeintegersmust be shown with a (-) sign.

+3 and 3

-3

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(-Neg)+ (-Neg) =-Neg

(+Pos)+ (-Neg)

(-Neg)+ (+Pos)

+1 + (+3) =+4

-2+ (-5) =-7

+1 + (-5) =-4

-2+ (+3) =+1

CFU

On your whiteboard, write a positive integer. How do you know it is a positive integer?

On your whiteboard, write a negative integer. How do you know it is a negative integer?

Using Addition Integer Rules, will-3 + +5 benegativeorpositive? How do you know?

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

+

+

+

+

6

+

8

-

-

5

9

+

+

-

4

-

1

+

+

0 is not positive or negative

+

2

0

CFU

(#1) How did I/you know how to read the problem?

(#3) How did I/you know which addition integer rule to use?

Sample Test Question

42. -4 + (-3)

A -7

B -1

C 1

D 7

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

• Adding integers helps businesses determine whether they are gaining or losing money.

CFU

Does anyone else have another reason why it is relevant to add integers? (pair-share) Why is it relevant to add integers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Skill Closure

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

-

12

+

2

Constructed Response Closure

James is adding -7 and 5. He thinks that he will have a negative answer. Do you agree with James? Explain your answer.

__________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Name __________________________

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

+

+

+

+

11

+

10

-

-

9

13

+

+

+

7

+

2

+

+

-

1

+

1

Name __________________________

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

+

+

+

+

10

+

15

-

12

-

6

+

+

+

5

-

4

+

+

+

4

-

3

Name __________________________

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

+

+

+

5

1

+

-

+

13

5

+

+

0 is not positive or negative

-

0

4

+

-

+

3

5

Name __________________________

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

+

-

+

8

6

+

-

-

10

4

+

+

5

-

14

+

0 is not positive or negative

-

0

8

Name __________________________

An integer is a positive whole number or a negative whole number.

The additioninteger rules are determined by the signs of the integers to be added.

Same Sign

Different Sign

Find the Sum and keep the sign.

Find the Difference and keep the sign of the larger number.

(+Pos)+ (+Pos) =+Pos

(+Pos)+ (-Neg)

(-Neg)+ (-Neg) =-Neg

(-Neg)+ (+Pos)

+

-

-

9

16

-

16

-

12

+

+

-

16

+

4

+

-

40

-

5