Summer Math Packet

[Pages:21]Summer Math Packet

Bridgewater/Raynham Regional School District

Grade 5 into 6

This packet is designed to help you retain the information you learned this year in 5th grade.

The packet is due Thursday, September 6, 2018. The first Thursday of school.

If you lose your packet, you can download a new copy from your school's website

If you are stuck on a problem try the list of websites as a resource. You can also use your Everyday math online resources that you used throughout the year.





This will be used as a review for your first quiz grade.

Have a great

Name: ________________________________________ School: ________________________________________

Dear Parents/ Guardians,

As a sixth grade team, we would like to express to you the importance of avoiding the "summer slide" and encouraging your child to review math concepts this summer. Along with this review, we would ask that your child practice their multiplication tables up to the 12s.

On the reverse side of this page, you will find a 100 question fact quiz. Any problems that your child is unable to complete within 5 minutes are not considered rote and should be studied & practiced. Below are some suggestions of how your child may do this. Please check off what your child was able to use and sign before your child returns to school in September.

Thank you for your support. We look forward to meeting you in the fall.

Sincerely,

The Sixth Grade Math teachers

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Multiplication fact flash cards

Multiplication fact websites o (Fact Dash)

User name-

Passwordo o o o (Math Baseball) o o another website:

Multiplication songs (Examples can be found on Itunes, Youtube, etc)

Other strategy (Please describe):

1

Divide Multi-Digit Numbers

2

When one number is divided by another, the result is called a quotient. The dividend is the number that is divided and the divisor is the number used to divide another number.

Find each quotient. 1. 595 ? 25

Example: Find 592 ? 30.

19 R22 30) 592

?30 292

?270 22

Divide each place-value position from left to right.

Since 292 ? 270 = 22 and 22 < 30, 22 is the remainder.

The quotient is 19 R22.

874

2. 38

3. 3,570 ? 85

370

4. 35

Multiplying by Powers of 10

3

Find each product. Use mental math.

1. 10 x 0.06 =

100 x 0.06 =

2. 0.653 x 1,000 =

1.09 x 10 =

1,000 x 0.06 =

10 x 0.6 =

21.3 x 10 =

10 x 0.007 =

3. 1,000 x 0.046 =

0.46 x 1,000 =

0.46 x 100 =

0.46 x 10 =

4. 1.234 x 100 =

0.11 x 1,000 =

0.11 x 10,000 =

0.11 x 100,000 =

Place Value of Decimals

Visual Model

4 Base 10 block model for 1.30

One

Tenths

Skill Examples 1. 156 = "One hundred fifty-six'' 2. 1409 = 0ne thousand four hundred nine" 3. 14.009 = Fourteen and nine thousandths" 4. 2.07 = Two and seven hundredths"

Write the number in words. 6. 27.35 = ____________________

7. 1560 = ____________________ Write the decimal number for the words.

8. F i v e thousand seven hundred forty-nine and thirteen hundredths" = _______ 9. N i n e hundred eighteen and fifty-seven thousandths" = _______

Write the decimal given by the model.

10.

11

Comparing Decimals

5

Mark each decimal on the number line. Then write or = to compare each value.

1. 0.3 0.2

2. 1.7

1.8

3. 2.35 2.4

4. 3.7

3.55

Write or = to compare each set of decimals.

6 5.66

5.91

8. 15.7

15.42

7. 1.36

1.9

9. 0.8

0.49

Multiply Decimals by Decimals

6

When you multiply a decimal by a decimal, multiply the numbers as if you were multiplying all whole numbers. To decide where to place the decimal point, find the sum of the number of decimal places in each factor. The product has the same number of decimal places.

Example 1 Find 5.2 ? 6.13.

5.2 ? 6.13

156 52 +312 31.876

one decimal place two decimal places

three decimal places

The product is 31.876.

Example 2 Find 2.3 ? 0.02.

2.3 ? 0.02 0.046

one decimal place two decimal places Add a zero to make three decimal places.

The product is 0.046.

Multiply. 1. 7.2 ? 2.1

2. 4.3 ? 8.5

3. 2.64 ? 1.4

4. 14.23 ? 8.21

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