7 S1c2po1 Integer Operations

Junior High Math

Name (First & Last)

7 S1C2PO1

Class/Hour

Integer Operations

Date

7_S1C2PO1_integer operations.doc

OBJECTIVE: Students can add, subtract, multiply and divide integers



How can integers be represented using manipulatives?



How can the rules for operating with integers be applied?

ADDING INTEGERS Same signs

, and keep the sign. Different signs

keep the sign of the Example: Find -12 + (-26) Same signs? Then

Example: Find -7 + 13 Same signs? Then

number. STEPS 1) Circle the sign to the right of the first integer 2) If addition follow rules of addition, if subtraction, follow rules of subtraction

STEPS 1) Circle the sign to the right of the first integer 2) If addition follow rules of addition, if subtraction, follow rules of subtraction

and

Simplify 1) -2 + 6

2)

-2 + -6

3)

2 + -6

4)

7 + -4

5)

-7 + -4

6)

-7 + 4

7)

-5 + 5

8)

-5 + -5

9)

5 + -6

10) -6 + 5

11) -5 + -6

12) -5 + 6

FIND THE FICTION

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SUBTRACTING INTEGERS Subtraction is Example: Find -18 - 13 Rewrite

the opposite. STEPS 1) Circle the sign to the right of the first integer

Same signs?

2) If addition follow rules of addition, if subtraction, follow rules of subtraction

Then

3) SUBTRACTION – add the opposite then follow addition rules

Example: Find -16 - (-42) Rewrite

STEPS 1) Circle the sign to the right of the first integer 2) If addition follow rules of addition, if subtraction, follow rules of subtraction

Same signs?

3) SUBTRACTION – add the opposite then follow addition rules

Then

Example: Find 37 - (-59) Rewrite

STEPS 1) Circle the sign to the right of the first integer 2) If addition follow rules of addition, if subtraction, follow rules of subtraction

Same signs? Then

3) SUBTRACTION – add the opposite then follow addition rules

Simplify 1) 14 - 20

2)

20 - 14

3)

-20 - 14

4)

- 20 – (-14)

5)

-14 – (-20)

6)

-14 – (-20)

7)

-20 – (-14)

8)

-20 + -14

9)

20 + 14

10)

11)

-20 +45

12)

-20 – (-20)

-22 +47

13) 5 – (-1) + -2 – 3 + 1

14) -2 + -3 – (-4) + 5 – (-1)

15) -4 + -2 – (-6)

16) -2 - -6

17) 2 - -6

18) -6 - -2

19) -2 – 6

20) 6 - -2

21) 2 - 6

22) -6 - 2

SAGE AND SCRIBE

MULTIPLICATION AND DIVISION OF INTEGERS Count the negatives, if the quantity is is positive. If the quantity is Example: Find 8 × -4 Quantity of -?

then the answer , then the answer is negative.

STEPS 1) Circle the negatives 2) Sum the negatives 3) Even – positive / Odd - negative

Then

Example: Find -3 × -5 Quantity of -?

STEPS 1) Circle the negatives 2) Sum the negatives 3) Even – positive / Odd - negative

Then

Example: Find -28 ÷ 4 Quantity of -?

STEPS 1) Circle the negatives 2) Sum the negatives 3) Even – positive / Odd - negative

Then

Simplify 1) (-1)(-2)

2)

(-1)(-2)(-3)

3)

(-1)(-2)(-3)(-4)

4)

(-2)(-1)(-2)(-1)(-2)

5)

-5 x -10

6)

-7 x 3

7)

-16 4

8)

16 -4

9)

-16 -4

10)

-5 5

12)

(-8)(10)(-2)

11) -5

-5

13) (-8)(-10)(-2)

14) 21 ÷ -7

15) 8 ÷ -2

16) -8

-2 17) 10

18)

-5 19)

5 -10

20) -2

-5 -10

8

21) (-4)2

22) -98

-2

Simplify 1) -5 + 3 – 10

2)

-14 – 2 ÷ 2

3)

4)

(-2)(7)(-1) ÷ (-1) – (-6)

-42 ÷ (-2)(-3)

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FIND THE FICTION

Adding Integers – Find the Fiction FIND THE FICTION 1

A

C -3 + 8 = 5

B

5 + (-12) = -7 D

4 + (-2) = 2

-7 + (-8) = 1

FIND THE FICTION 2

A

C 12 + (-9) = 3

B

-16 + (-13) = -3 D

-4 + (-9) = -13

-16 + 30 = 14

FIND THE FICTION 3

A

C 8 + (-5) + 3 = -17

B

D 13 + (-8) + 7 = 12

1) D 2) C 3) A

-16 + (-4) + 10 = -10 -6 + (-5) + (-12) = -23

Subtracting Integers – Sage-N-Scribe Set-up: In pairs, Student A is the Sage; Student B is the Scribe. Students fold a sheet of paper in half and each writes his/her name on one half. 1.

The Sage gives the Scribe step-by-step instructions on how to subtract the numbers in problem one.

2.

The Scribe records the Sage’s solution step-by-step in writing on the Sage’s side of the paper.

3.

If the Sage is correct, the Scribe praises the Sage. Otherwise, the Scribe coaches, then praises.

4.

Students switch roles for the next problem. 1) 9 – (-3)

2) -2 - 6

3) 5 - 7

4) 13 – 16

5) 12 – (-4)

6) -8 – 5

7) 14 – 27

8) -21 - 8

9) -3 – 4 – (-7) 11) -9 - 3 – (-18)

10) 3 – 5 – 12 12) 16 – (-25) – 9

1. 12, 2. -8, 3. -2, 4. -3, 5. 16, 6. -13, 7. -13, 8. -29, 9. 0, 10. -14, 11. 6, 12. 32

Integer Operations– Find the Fiction FIND THE FICTION 1

A

C -4 – 3 + 8 = 12

B

24 ÷ (-3)(-2) = 4 D

-9 – 10(-3) = 21

-15 – (-5) + 6 = -4

FIND THE FICTION 2

A

C 12 ÷ (-2) – 6 = -12

B

3(-2) – 8 = -14 D

-8 – (-9) – 16 = -33

10 – 12 + (-3) = -5

FIND THE FICTION 3

A

C -36 ÷ (-4)(-3) = 3

B

D 19 – 8 + (-7) = 4

1) C 2) B 3) D

13 – 21 ÷ (-3) = 20 3 – (-4) + (-9) = -2