Math 6 - Colonial School District, Plymouth Meeting, PA

Math 6

Colonial School District

Summer Math Packet

The concepts included in this packet will help reinforce key skills your child has encountered in math this year. Please encourage them to complete as many activities as possible as it will lead to greater success next year. The answer key to this packet is available on the district website ().

Promoting a Culture of Collaboration, Innovation and Inspiration

June

Dear Parents/Guardians, First, we would like to thank you for all of the additional support you offer at home. Education is a true partnership between school and family that is essential to a child's success. As this school year comes to a close, we wanted to again encourage you to continue to reinforce and foster the mathematical skills and practices that have been developed this year by scheduling time for your child to work through this summer math packet. The activities were selected by our grade level experts with the key mathematical concepts of the school year in mind. The ultimate goal is to reinforce and strengthen the skills that will serve as building blocks for future learning. Wishing you a relaxing, yet exciting, math-filled summer! Sincerely,

The Curriculum Department

Serving the students of Conshohocken, Plymouth and Whitemarsh

230 Flourtown Road, Plymouth Meeting, PA 19462 ? Phone (610) 834-1670 ? Fax (610) 834-7535 ?

Integers

Adding

RULE

SAME SIGNS 1. Add.

2. Sum is positive if both are positive; negative if both are negative.

DIFFERENT SIGNS 1. Subtract the absolute values. 2. Answer is sign of the integer with the greater absolute value.

EXAMPLES

5 + 8 = 13 ?5 + (?8) = ?13

5 + (?8) = ?3 ?5 + 8 = 3

Find each sum. 1. ?4 + ( ?8)

2. 14 + 16

3. ?43 + ( ?12)

4. ?16 + 11

5. 28 + ( ?42)

6. 75 + ( ?5)

7. ?49 + (?32)

8. 23 + ( ?23)

9. 86 + ( ?18)

Integers

Multiplying & Dividing

RULE

1. Multiply or divide.

2. The answer is positive if the signs are the same

(both positive or both negative); negative if the signs are different (one positive and one negative).

EXAMPLES

?5 x (?8) = 40 16 x ( ?3) = ?48 40 4 = 10 ?20 10 = ?2

Find each product or quotient.

1. ?3 x (?8)

2. ?5 x ( ?5)

3. ?15 x 3

4. 0 x ( ?121)

5. ?35 ( ?7)

6. ?65 5

7. 240 ( ?4)

8. 36 12

9. (?49 7) x 8

Integers

Subtracting

RULE

1. Change the minus sign to a plus. 2. Find the opposite of the 2nd number. 3. Add; using your rules for adding integers.

EXAMPLES

5 ? 8 = 5 + ?8

= ?3

? 9 ? (?12) = ?9 + 12

= 3

Find each difference. 1. 4 ? 7

2. ?5 ? 3

3. ?8 ? 2

4. ?3 ? 24

5. 10 ? 17

6. 13 ? 9

7. ?41 ? 37

8. 62 ? (?29)

9. ?6 ? ( ?6)

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