rolling terrace e.s. revised: 5/2015 summer math...

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Rolling Terrace E.S.

SUMMER MATH JOURNAL

for students completing

Grade 4 and entering

Grade 5

First name:_________________

Last name: _________________

Grade 5 Homeroom AM Teacher: __________

Revised: 5/2015

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June 2015

Dear Parents,

Thank you for your support in our Summer Math and Reading Program.

All work should be returned to your child’s homeroom teacher by Friday, September 4, 2015. If you turn in one packet you get, one reward If you turn in both the reading and math packets, you participate in the celebration.

Have a great summer and thanks again for your support!

Sincerely,

Josie Robles & Missy Salvesen

Junio de 2015

Estimados padres, Gracias por su apoyo en nuestro programa de lectura y matemáticas de verano. Todos los trabajos deben devolverse al maestro de su hijo/a el viernes, 05 de septiembre de 2015. Si su hijo/a entrega un paquete recibirá un premio. Si entrega ambos paquetes (paquete de lectura y el paquete de matemáticas) el estudiante participará en una celebración. ¡Que tengan un verano maravilloso y gracias por su apoyo!

Atentamente,

Josie Robles & Missy Salvesen

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1 Times Table 2 Times Table 3 Times Table 4 Times Table 1 x 1 = 1 1 x 2 = 2 1 x 3 = 3 1 x 4 = 4 1 x 5 = 5 1 x 6 = 6 1 x 7 = 7 1 x 8 = 8 1 x 9 = 9

1 x 10 = 10 1 x 11 = 11 1 x 12 = 12

2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2 x 4 = 8

2 x 5 = 10 2 x 6 = 12 2 x 7 = 14 2 x 8 = 16 2 x 9 = 18

2 x 10 = 20 2 x 11 = 22 2 x 12 = 24

3 x 1 = 3 3 x 2 = 6 3 x 3 = 9

3 x 4 = 12 3 x 5 = 15 3 x 6 = 18 3 x 7 = 21 3 x 8 = 24 3 x 9 = 27

3 x 10 = 30 3 x 11 = 33 3 x 12 = 36

4 x 1 = 4 4 x 2 = 8

4 x 3 = 12 4 x 4 = 16 4 x 5 = 20 4 x 6 = 24 4 x 7 = 28 4 x 8 = 32 4 x 9 = 36

4 x 10 = 40 4 x 11 = 44 4 x 12 = 48

5 Times Table 6 Times Table 7 Times Table 8 Times Table 5 x 1 = 5

5 x 2 = 10 5 x 3 = 15 5 x 4 = 20 5 x 5 = 25 5 x 6 = 30 5 x 7 = 35 5 x 8 = 40 5 x 9 = 45

5 x 10 = 50 5 x 11 = 55 5 x 12 = 60

6 x 1 = 6 6 x 2 = 12 6 x 3 = 18 6 x 4 = 24 6 x 5 = 30 6 x 6 = 36 6 x 7 = 42 6 x 8 = 48 6 x 9 = 54

6 x 10 = 60 6 x 11 = 66

6 x 12 = 72

7 x 1 = 7 7 x 2 = 14 7 x 3 = 21 7 x 4 = 28 7 x 5 = 35 7 x 6 = 42 7 x 7 = 49 7 x 8 = 56 7 x 9 = 63

7 x 10 = 70 7 x 11 = 77 7 x 12 = 84

8 x 1 = 8 8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 8 x 5 = 40 8 x 6 = 48 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72

8 x 10 = 80 8 x 11 = 88

8 x 12 = 96 9 Times Table 10 Times Table 11 Times Table 12 Times Table

9 x 1 = 9 9 x 2 = 18 9 x 3 = 27 9 x 4 = 36 9 x 5 = 45 9 x 6 = 54 9 x 7 = 63 9 x 8 = 72 9 x 9 = 81

9 x 10 = 90 9 x 11 = 99

9 x 12 = 108

10 x 1 = 10 10 x 2 = 20 10 x 3 = 30 10 x 4 = 40 10 x 5 = 50 10 x 6 = 60 10 x 7 = 70 10 x 8 = 80 10 x 9 = 90

10 x 10 = 100 10 x 11 = 110

10 x 12 = 120

11 x 1 = 11 11 x 2 = 22 11 x 3 = 33 11 x 4 = 44 11 x 5 = 55 11 x 6 = 66 11 x 7 = 77 11 x 8 = 88 11 x 9 = 99

11 x 10 = 110 11 x 11 = 121

11 x 12 = 132

12 x 1 = 12 12 x 2 = 24 12 x 3 = 36 12 x 4 = 48 12 x 5 = 60 12 x 6 = 72 12 x 7 = 84 12 x 8 = 96

12 x 9 = 108 12 x 10 = 120 12 x 11 = 132 12 x 12 = 144

STUDY MULTIPLICATION TIMES TABLE CHART STUDY

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1 Division Facts 2 Division Facts 3 Division Facts 4 Division Facts 1 ÷ 1 = 1 2 ÷ 1 = 2 3 ÷ 1 = 3 4 ÷ 1 = 4 5 ÷ 1 = 5 6 ÷ 1 = 6 7 ÷ 1 = 7 8 ÷ 1 = 8 9 ÷ 1 = 9

10 ÷ 1 = 10 11 ÷ 1 = 11 12 ÷ 1 = 12

2 ÷ 2 = 1 4 ÷ 2 = 2 6 ÷ 2 = 3 8 ÷ 2 = 4

10 ÷ 2 = 5 12 ÷ 2 = 6

14 ÷ 2 = 7 16 ÷ 2 = 8 18 ÷ 2 = 9

20 ÷ 2 = 10 22 ÷ 2 = 11 24 ÷ 2 = 12

3 ÷ 3 = 1 6 ÷ 3 = 2 9 ÷ 3 = 3

12 ÷ 3 = 4 15 ÷ 3 = 5 18 ÷ 3 = 6 21 ÷ 3 = 7 24 ÷ 3 = 8 27 ÷ 3 = 9

30 ÷ 3 = 10 33 ÷ 3 = 11 36 ÷ 3 = 12

4 ÷ 4 = 1 8 ÷ 4 = 2

12 ÷ 4 = 3 16 ÷ 4 = 4 20 ÷ 4 = 5 24 ÷ 4 = 6 28 ÷ 4 = 7 32 ÷ 4 = 8 36 ÷ 4 = 9

40 ÷ 4 = 10 44 ÷ 4 = 11 48 ÷ 4 = 12

5 Division Facts 6 Division Facts 7 Division Facts 8 Division Facts 5 ÷ 5 = 1

10 ÷ 5 = 2 15 ÷ 5 = 3 20 ÷ 5 = 4 25 ÷ 5 = 5 30 ÷ 5 = 6 35 ÷ 5 = 7 40 ÷ 5 = 8 45 ÷ 5 = 9

50 ÷ 5 = 10 55 ÷ 5 = 11 60 ÷ 5 = 12

6 ÷ 6 = 1 12 ÷ 6 = 2 18 ÷ 6 = 3 24 ÷ 6 = 4 30 ÷ 6 = 5 36 ÷ 6 = 6 42 ÷ 6 = 7 48 ÷ 6 = 8 54 ÷ 6 = 9

60 ÷ 6 = 10 66 ÷ 6 = 11 72 ÷ 6 = 12

7 ÷ 7 = 1 14 ÷ 7 = 2 21 ÷ 7 = 3 28 ÷ 7 = 4 35 ÷ 7 = 5 42 ÷ 7 = 6 49 ÷ 7 = 7 56 ÷ 7 = 8 63 ÷ 7 = 9

70 ÷ 7 = 10 77 ÷ 7 = 11 84 ÷ 7 = 12

8 ÷ 8 = 1 16 ÷ 8 = 2 24 ÷ 8 = 3 32 ÷ 8 = 4 40 ÷ 8 = 5 48 ÷ 8 = 6 56 ÷ 8 = 7 64 ÷ 8 = 8 72 ÷ 8 = 9

80 ÷ 8 = 10 88 ÷ 8 = 11 96 ÷ 8 = 12

9 Division Facts 10 Division Facts 11 Division Facts 12 Division Facts 9 ÷ 9 = 1

18 ÷ 9 = 2 27 ÷ 9 = 3 36 ÷ 9 = 4 45 ÷ 9 = 5 54 ÷ 9 = 6 63 ÷ 9 = 7 72 ÷ 9 = 8 81 ÷ 9 = 9

90 ÷ 9 = 10 99 ÷ 9 = 11

108 ÷ 9 = 12

10 ÷ 10 = 1 20 ÷ 10 = 2 30 ÷ 10 = 3 40 ÷ 10 = 4 50 ÷ 10 = 5 60 ÷ 10 = 6 70 ÷ 10 = 7 80 ÷ 10 = 8 90 ÷ 10 = 9

100 ÷ 10 = 10 110 ÷ 10 = 11 120 ÷ 10 = 12

11 ÷ 11 = 1 22 ÷ 11 = 2 33 ÷ 11 = 3 44 ÷ 11 = 4 55 ÷ 11 = 5 66 ÷ 11 = 6 77 ÷ 11 = 7 88 ÷ 11 = 8 99 ÷ 11 = 9

110 ÷ 11 = 10 121 ÷ 11 = 11 132 ÷ 11 = 12

12 ÷ 12 = 1 24 ÷ 12 = 2 36 ÷ 12 = 3 48 ÷ 12 = 4 60 ÷ 12 = 5 72 ÷ 12 = 6 84 ÷ 12 = 7 96 ÷ 12 = 8

108 ÷ 12 = 9 120 ÷ 12 = 10 132 ÷ 12 = 11 144 ÷ 12 = 12

STUDY Division Facts STUDY

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PLACE VALUE

GREATER THAN, LESS THAN, EQUAL TO

> < =

Use the above symbols.

40,567 54,567

100 tens 100

50 hundreds 4,000

15,507 15,566

4 thousands + fifty 40,500

5,067 1,366

1,000 + 400 + 3 2,403

2,567 2,000 + 500 + 60 + 7

6,007 sixty seven

9, 001 9,005

508,567 598,589

15,111 15,011

203,987 20,398

READ THE NUMBERS TO SOMEONE.

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WRITING DECIMAL NUMBERS in Standard Form Read the decimal name.

Write the decimal number in standard form.

Use the place value chart to help you.

one and four tenths

seven and fifty-three hundredths

six tenths

six hundredths

fifty-four hundredths

eight and three tenths

thirty one thousandths

three hundredths

one and five tenths

one and seven tenths

seven and six tenths

four and six hundredths

thirteen and thirteen hundredths

six thousandths

eighty and eight tenths

seven and seven hundredths

fifty-five hundredths

eleven hundredths

ten hundredths

six tenths

seventy-nine hundredths

eighteen thousandths

Hundreds Tens Ones Tenths Hundredths Thousandths

100 10 1 0 .1 0.01 0.001 and

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FACTORS AND MULTIPLES

List the factors for the following numbers. CIRCLE the numbers that are PRIME NUMBERS.

12: _____________________________________

16:______________________________________

11:______________________________________

18:______________________________________

23: ______________________________________

List the first five multiples of the numbers.

4: _______________________________________

8: _______________________________________

Elena bought a box of pencils and erasers. The pencils come in packages of 3. The erasers come in packages of 5. Elena was matching one pencil to one eraser. She did not want to have any leftover pencils or erasers. *How many boxes of pencils and erasers does Elena need to buy so that she has the same amount of pencils and erasers? *How many pencils and erasers will Elena have?

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MULTIPLICATION PATTERNS

PROBLEM SOLVING Ben has 5 marbles. Kate has 7 more marbles than Ben. Tina has 9 more marbles than Kate. Who has the greatest amount of marbles? How many marbles do they have in all?

80 x 1 = 80x 10 = 80 x 100 = 80 x 1,000 =

50 x 1 = 50 x 10 = 50 x 100 = 50 x 1,000 =

90 x 1 = 90 x 10 = 90 x 100 = 90 x 1,000 =

30 x 1 = 30 x 10 = 30 x 100 = 30 x 1,000 =

100 x 1 = 100 x 10 = 100 x 100 = 100 x 1,000 =

120 x 1 = 120 x 10 = 120 x 100 = 120 x 1,000 =

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PROBLEM SOLVING

Mrs. Richardson has twice as many yellow blocks than pink blocks. She has 54 yellow blocks in her box. How many pink blocks does Mrs. Richardson have?

Show how you solved the problem. Use pictures, words, and/or numbers to show your work. Write an equation for your problem.

Sra. Castellon has 8 bags on the desks. There are an equal amount of pencils in each bag. Altogether she has 96 pencils. How many pencils are in each bag?


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Mrs. Olson Beck has three times as many books as Mrs. Robles. Mrs. Robles has 38 books. *How many books does Mrs. Olson Beck have?


Dennis was going to get a new rug for his room. *What is the area of the rug for his room? Dennis will also put a trim around the room. *How many feet of trim will Dennis need for his room? The wood trim costs 50 cents per feet. *How much money will the wood trim cost? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

3 ft

6 ft

6 ft

3 ft

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TIME

Draw the hand on the clock to show the time.

2:06 5:32 2:49

8:15 5:40 11:17

6:06 7:27 1:28

2:59 3:15 4:37

Practice telling time using a clock.

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ELAPSED TIME Solve the problems. Use a time line or clock to help you solve the problem.

Emily was baking a cake. She put the cake into the oven at 4:20. It will take 47 minutes for the bake to be done. What time will the cake be done?

Walter needed to be at his friend’s party at 5:00. Walter needs to take a shower and get dressed. It takes him 30 minutes to get ready. It takes 15 minutes to walk to his friend’s house. What time does Walter need to begin getting ready so he gets to the party on time?

Vanessa began to exercise at 4:25. She walked for 45 minutes. She swam for 35 minutes. What time did Vanessa stop exercising?

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WORKING WITH UNITS OF MEASUREMENT 9 feet = _____ yards. 36 inches = _____ feet. _____ gallons = 8 quarts 60 minutes = _____ hour ______ hours = 1 day 1 yard = ____ inches 16 ounces = _____ pound 16 fluid ounces = _____ pint 4 feet = _____ inches I meter = _____ centimeters

PROBLEM SOLVING

Johanna measures how long the rug in her room is. It is 4 feet long. How many inches long is her rug? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

Mrs. Richardson drank 2 pints of milk. Ms. Turner drank 1 quart of milk. Who drank more milk? Explain how you know. Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

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Claudia’s pencil measured 13 centimeters. How many millimeters long is the pencil? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

Ms. Legum’s cat weighs 2 pounds. How many ounces does Ms. Legum’s cat weigh? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

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PATTERNS AND RULES

Look at the number patterns. Continue the pattern. Write the rule. Be sure to tell what the rule operation is.

345, 445, 545, 645, ________, ________, ________, ________. The rule is: Start at 345 add 100 ____ .

1, 2, 4, 8, 16 , ________, ________, ________, ________. The rule is: _________________________________________ .

446, 436, 426, 416, ________, ________, ________, ________. The rule is: _________________________________________ .

100, 125, 150, 175, 200, 225 , ________, ________, ________. The rule is: _________________________________________ .

8, 16, 24, 32, ________, ________, ________, ________. The rule is: _________________________________________ .

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PATTERNS AND RULES

Look at the number patterns. Continue the pattern. Write the rule. Be sure to tell what the rule operation is.

Challenge:

531, 521, 511, 501, ________, ________, ________, ________. The rule is: _________________________________________ .

67, 60, 53, 46, 39 , ________, ________, ________, ________. The rule is: _________________________________________ .

1,250, 1,225 , 1,200, 1,175, _______, _______, _______, _______. The rule is: _________________________________________ .

100, 101, 201, 202, 302, 303 , ________, ________, ________. The rule is: _________________________________________ .

1, 1, 2, 3, 5 , 8, ________, ________, ________, ________. The rule is: _________________________________________ .

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MULTIPLIPLYING USING PLACE VALUE

267 x 4 is the same as: 200 x 4 + 60 x 4 + 7 x 4

800 + 120 + 28 = ________


_______ + _____ + ____ = ________


_______ + _____ + ____ = ________


_______ + _____ + ____ = ________


_______ + _____ + ____ = ________

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MULTIPLICATION AND DIVISION

4 5 6 X 4

1, 3 5 6 X 5

6 )5 6 8

3 ) 6, 7 3 5

10

7, 0 7 2 X 3 4

6, 0 0 6 X 3 5

5 )5 6 0

9 ) 2, 3 2 2

11

2 9 6 X 3 4

3, 3 5 0 X 1 5

6 )5, 6 0 8

3 ) 3, 5 8 8

12

7, 0 7 2 X 3 4

1, 3 5 6 X 3 5

8 )1 9 6 0

12 ) 7, 9 4 3

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PROBLEM SOLVING WITH + - X ÷

23 children are going to ride the roller coaster. Each seat holds 3 people. How many seats will be needed so that all of the children can ride? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

There were 15 dogs and 24 birds at the petting zoo. How many legs were there altogether? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

Mrs. Araghi baked 3 trays of 36 cookies. After they cooled she divided the cookies evenly into 4 bags. How many cookies did Mrs. Araghi put in each bag? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

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Mrs. Tredway ordered 200 books for the Media Center. She ordered 16 more for the reading cart. She put the books in piles with 18 books in each pile. How many piles did she make? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

Mrs. Swann made 48 cupcakes. She put 8 cupcakes into each box and sold each box for $4.00. How much money did Mrs. Swann make? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

Marcus has 235 marbles. Michelle has 78 fewer marbles than Marcus. How many marbles does Michelle have? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

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FRACTIONS

Show a fraction that is equivalent to

If this is one whole, color to show one fourth.

This is one fourth, draw one whole.

If this is one whole, partition and color to show one third.

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Partition this number line into fourths.

Partition this number line into thirds.

Circle the fraction that is less.

0 1

0 1

Show

2

Show

2

Which fraction is greater?

Which fraction is the least?

\Draw a picture to show why your answer is correct.

\Draw a picture to show why your answer is correct.

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PROBLEM SOLVING

Tom and Ben ordered a pizza for lunch. They each ate 1/3 of the pizza. How much pizza was eaten? How much pizza was left?

Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

A restaurant uses 1/3 cup of mayonnaise in each batch of salad dressing. How many cups of mayonnaise will be used in 7 batches? Show how you solved the problem. Use pictures, words, and/or numbers to show your work.

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LINE PLOTS

Look at the data below about the heights of some fourth graders. Determine how

you will number the Line Plot.

Heights of Fourth Graders

Ana - 55 inches Olivia - 55 inches

Jason – 53 inches Jose - 57 inches

Emily – 54 inches Allison- 55 inches

Jason – 49 inches Oscar - 55 inches

Frank - 56 inches Debbie - 53 inches

Yuliana - 56 inches Tameka - 50 inches

Nancy - 54 inches John - 54 inches

Finish numbering the scale. Create a line plot to organize the data.

Heights of Fourth Graders

Heights in Inches

Write 2 statements about the data.

* *

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PROBLEM SOLVING WITH MONEY

The Fourth Grade class was selling food at the School fair.

Ivan was going to buy one food item, one drink and one dessert. What could Ivan buy?

Ivan paid with a ten dollar bill. What will Ivan get back in change?

If you only have $5.00 to spend, what food item, drink and dessert can you buy? What will the change be?

MENU FOOD ITEMS DRINKS DESSERTS Hot Dog $3.60 Soda $1.50 Cake $1.75 French Fries $2.20 Chocolate Milk $1.50 Ice Cream $1.50 Hamburger $3.80 Water $1.00 Cookie $0.75 Deluxe Cheese burger $4.50 Pizza Slice $3.25

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Look at the fractions and mixed numbers in the box below.

1

9

41

5

1

3

7

5

8

5

1a. Which of these fractions or mixed numbers is both greater than 1

2and less than

31

5?

Answer = ____________

1b. Use what you know about comparing fractions to explain how you determined

your answer. 2. A group of friends are drinking milk at lunch.

Diego drinks 3

4of a glass.

Jen drinks 11

4 glasses.

Shaun drinks 7

4 glasses.

Meg drinks 1 whole glass.

Put the friends in order from least to greatest by the amount of milk they drink. Show your work.

___________, ___________, ___________, ____________

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Spot and Fluffy are cats.

Spot is 13

12 feet tall.

Fluffy is 2

112

feet tall.

a. Which cat is taller? (Circle one) Spot Fluffy b. Use what you know about fractions to explain how you found your answer. Use

words, pictures, and/or numbers in your answer.

3. Four children bike to an ice cream store. They decide to race there. Look at their times below.

24

6 min.

22

6min.

44

6 min.

24

6 min.

List the times in order from greatest to least:

____________ ____________ ____________ __________

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PROBLEM SOLVING WITH DECIMALS

1. Mr. Bond walked 3.45 km on Saturday and 1.78 km more on Sunday. What was the total distance that he walked on both days?

2. Mrs. Richardson bought 4.03 pounds of potatoes. She used 1.8 pounds of potatoes for dinner. How many pounds of potatoes did Mrs. Richardson have left?

3. Use the information from the table to answer the questions. Liters of water Red bucket 1.3 Green bucket 0.67 Blue Bucket 0.9

How many liters more liters of water does the red bucket have than the blue bucket? What was the total amount of liters in the buckets?

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DECIMAL PUZZLES

9.3 6. __ +2.__ - __ . 3

__ __.6 1. 3

1.3 + 0.56 =

3.46 – 0.08 =

82.04 + 2.05 =

4.05 – 1.93 =

25

Cut out the cards. Practice the facts.

2 x 2 2 x 3 2 x 4 2 x 5

2 x 6 2 x 7 2 x 8 2 x 9

2 x 10 2 x 11 2 x 12 3 x 2

3 x 3 3 x 4 3 x 5 3 x 6

27

3 x 7 3 x 8 3 x 9 3 x 10

3 x 11 3 x 12 4 x 2 4 x 3

4 x 4 4 x 5

4 x 6 4 x 7

4 x 8 4 x 9

4 x 10 4 x 11

29

4 x 12 5 x 2 5 x 3 5 x 4

5 x 5 5 x 6

5 x 7 5 x 8

5 x 9 5 x 10

5 x 11 5 x 12

6 x 2 6 x 3

6 x 4 6 x 5

31

6 x 6 6 x 7

6 x 8 6 x 9

6 x 10 6 x 11

6 x 12 7 x 2

7 x 3 7 x 4

7 x 5 7 x 6

7 x 7 7 x 8

7 x 9 7 x 10

33

7 x 11 7 x 12

8 x 2 8 x 3

8 x 4 8 x 5

8 x 6 8 x 7

8 x 8 8 x 9

8 x 10 8 x 11

8 x 12 9 x 2

9 x 3 9 x 4

35

9 x 5 9 x 6

9 x 7 9 x 8

9 x 9 9 x 10

9 x 11 9 x 12

10 x 2 10 x 3

10 x 4 10 x 5

10 x 6 10 x 7

10 x 8 10 x 9

37

10 x 10 10 x 11

10 x 12 11 x 2

11 x 3 11 x 4

11 x 5 11 x 6

11 x 7 11 x 8

11 x 9 11 x 10

11 x 11 11 x 12

12 x 2 12 x 3

39

12 x 4 12 x 5

12 x 6 12 x 7

12 x 8 12 x 9

12 x 10 12 x 11

12 x 12

rolling terrace e.s. revised: 5/2015 summer math...

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