The Cynthia Jenkins School, P.S. 37Q B. Mitchell, Principal A. Hill, Assistant Principal

4th Grade Winter Recess Packet, December 2014 - January 2015

To our parents, and guardians:

This packet was designed to help your child prepare for the New York State Mathematics and NYC Science tests. Please guide your child by monitoring their daily progress and completion.

All work is due on Monday, January 5, when school resumes. Thank you for supporting your child's success.

Signature: I have read and will monitor my child's daily study schedule. __________________________ ________________________________________________________________________________________

Dear ________________________ , after completing your math lesson each day, record what you've learned.

Use this schedule to record one math fact, and one science fact that you've learned, every day. EXAMPLE: In math, I learned that the number 250 has 25 tens. 25 x 10 = 250 and 250 ÷ 10 = 25

________________________________________________________________________________________ Tuesday, December 23 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Wednesday, December 24 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Friday, December 26 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Saturday,December 27 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Sunday, December 28 In math, I learned _________________________________________________________________________ ________________________________________________________________________________________ ________________________________________________________________________________________ Monday, December 29 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Tuesday, December 30 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________

If you need more space to write, please use loose-leaf paper. The schedule continues on the next page.

Wednesday, December 31 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Thursday, January 1 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Friday,January 2 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Saturday, January 3 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________ Sunday, January 4 In math, I learned _________________________________________________________________________ In science, I learned________________________________________________________________________ ________________________________________________________________________________________

Additional Studies

TIMES TABLES are to be studied daily. Fluency is due by January 5, 2015. Complete your reading and math packets. Continue reading every day for at least 30 minutes.

Science: Prepare for the upcoming science test. Study the notes attached. Have someone test you.

________________________________________________________________________________________

Additional Online Support Access the following web sites on a personal computer, a smartphone, or at your local library. Study at least 1 hour daily.

Choose at least two sites, daily. Complete all of the lessons that you choose:

ps37q.com (comprehensive)

Click on the 4th Grade study page. Click on Use the math and science links that you need.

Splash Math (games) Username: math10 Password: book3 ... have fun!

LearnZillion.com (videos)

QUICK CODE: 4.OA, Create your own search, Click "Grade Level 4th" (on your left)

Mathisfun.com (lessons) In geometry, go to: "Plane Geometry," and "Angles." In Data, go to: "How to Show Data."

StudyJams.Scholastic.com (videos and quizzes)

Review any math or science lesson learned in school this year.

My 4th Grade Science Vocabulary Notes

Life Science

Producers have the greatest amount of energy. They are green plants that make their own food.

Draw, color and label a producer:

Consumers eat the producers or eat other consumers. Example: A beetle eats a leaf then a bird eats the beetle; both are consumers.

Draw, color and label two di�erent kinds of consumers:

Decomposers feed on dead producers, consumers, and wastes. They help to also break it down into the soil. Examples of decomposersinclude worms, �ies, mushrooms (a fungus) and mold.

Draw, color and label three di�erent kinds of decomposers:

_________________________________________________________________________________________In�uence of Human Activity on Ecosystems

Humans can have a major impact on ecosystems. Impacts can be positive or negative:

Negative Impacts:- Pollution is when harmful substances are added to Earth’s water, air, or land.- Water pollution can be too dirty to use. It can make living things sick which could end up killing the plants and animals living in it.- Air pollution can come from forest �res, cars, or factories. They release acids that mix with water in the air and can fall as acid rain. Smog hangs in the air like a cloud and makes it hard to breathe.- Land pollution is caused by trash being thrown to the ground. This can harm plants and animals. It can make the land ugly.

Positive Impacts-Laws that control air and water pollution-Using resources wisely-Public parks and forests to control how land is used-Laws that protect endangered species Illustrate and title an example of pollution.

My Fourth Grade Science Vocabulary Notes

Electricity

Static Electricity

What creates a neutral charge? __________________

_____________________________________________

_____________________________________________

What is a negative charge? ______________________

_____________________________________________

_____________________________________________

Current Electricity In My Own Words

Directions: Use the diagram, and what you knowto de�ne each term.

power source ____________________

________________________________

connector ______________________

________________________________

load ___________________________

________________________________

switch _________________________

________________________________

3-4 Name Date4–3

Vocabulary

arrayrowcolumn

� Explore Arrays

UNIT 4 LESSON 3 Multiplication and Arrays 207

An is an arrangement of objects in and . You can use multiplication to find the

total number of objects in an array.

2 rows of 5 � 2 � 5 � 10

columnsrowsarray

5 columns2-by-5 array

2 rows

� Write Multiplication Equations

Write a multiplication equation for each array.

1. How many flowers?

2. How many stamps?

3. How many mugs?

4. On the Back Write a problem that you can solve by using this array. Show how to solve your problem.

row

column

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3-4 Name Date7–5

Vocabulary

cup (c)fluid ounce (fl oz)quart (qt) gallon (gal)

� Units of Capacity

UNIT 7 LESSON 5 Customary Units of Capacity 519

1. Regina drank 2 cups of milk. Rexdrank 8 fluid ounces of milk.Who drank more milk?

3. Would you rather have a pintand a half of your favorite drinkor 4 cups?

5. There are 2 quarts of tomatojuice in the refrigerator. Mrs.Chavez needs �

34

� of a gallon tomake a stew. Does she haveenough? Explain.

2. Fran spilled a half-gallon ofwater. Mark spilled 3 quarts.Who spilled more water?

4. Would you rather have a cup ora fourth of a pint of a drink youdon’t like?

6. Juana has a 12-cup punch bowl.She uses a 1-quart container tofill it. How many times must shepour a quart into the bowl to fillit? Explain.

Solve.

1 � 8

2 cups � 1 pint

fluid ouncescup 4 cups � 1

4 quarts � 1 gallon

quart

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4–3 Name Date

�Solve Problems Using the Commutative Property

Make a math drawing for each problem. Write a multiplication equation and the answer to the problem.

210 UNIT 4 LESSON 3 Multiplication and Arrays

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Vocabulary

commutative

Multiplication is . This means you can switch the order ofthe factors without changing the product.

commutative

Arrays: 4 � 5 � 5 � 4 Groups: 4 � 5 � 5 � 4

4 � 5 � 20 5 � 4 � 20 4 � 5 � 20 5 � 4 � 20

9. Katie bought some stickers. Sheput the stickers on her folder in6 rows of 2. How many stickersdid she buy?

11. On Monday, Juan helped Ms.Chang clean the art cabinet. Hepacked jars of paint in 3 boxes,with 7 jars per box. How manyjars of paint did Juan put away?

10. Marco also bought somestickers. He put the stickers onhis folder in 2 rows of 6. Howmany stickers did he buy?

12. On Tuesday, Therese helped Ms.Chang. She packed jars of paintin 7 boxes, with 3 jars per box.How many jars of paint didTherese put away?

�Explore Commutativity

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5–6 Name Date

UNIT 5 LESSON 6 Comparison Word Problems 345

1. Martina has more tennis balls than Chris.

2. Chris has fewer tennis balls than Martina.

3. Martina has times as many tennis balls as Chris.

4. Chris has as many tennis balls as Martina.

�Comparison Statements

Use the sentences and pictures below to complete thecomparison statements.

Martina has 6 tennis balls. Chris has 2 tennis balls.

Martina

Chris

5. Write a comparison statement about the hockey pucks using the word more.

6. Write a comparison statement about the hockey pucks using the word fewer.

7. Wayne has times as many hockey pucks as Bobby.

8. Bobby has as many hockey pucks as Wayne.

Use the sentences and pictures below to complete thecomparison statements.

Bobby has 3 hockey pucks. Wayne has 15 hockey pucks.

Bobby

Wayne

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4–4 Name Date

UNIT 4 LESSON 4 The Meaning of Division 215

�Explore Division

Solve each problem.

1. Marc bought some bags of limes. There were 5 limes in each bag. He bought 15 limesaltogether. How many bags did he buy?

2. There were 10 photographs on one wall of anart gallery. The photographs were in rows, with5 photographs in each row. How many rowswere there?

Vocabulary

divisiondividend

divisorquotient

The problems above can be represented by multiplication equations or by equations.

Problem 1 Multiplication Division

Problem 2 Multiplication Division

division

numberof groups(factor)

groupsize

(factor)

total(product)

5� � 15number

of groups(factor)

groupsize

(factor)

total(product)

5� �15

numberof rows(factor)

number ineach row(factor)

total(product)

5� � 10numberof rows(factor)

number ineach row(factor)

total(product)

5� �10

Here are ways to write a division. The following all mean “15 divided by 5 equals 3.”

15 � 5 � 3 15 / 5 � 3

The number you divide into is called the . The number youdivide by is called the . The number that is the answer to adivision problem is called the .quotient

divisordividend

�155� � 3

5��1�5�3 quotient

dividend

divisor

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4–4 Name Date

216 UNIT 4 LESSON 4 The Meaning of Division

� Math Tools: Equal-Shares Drawings

Solve each problem.

3. At a bake sale, Luisa bought a lemon square for35¢. If she paid using only nickels, how manynickels did she spend?

4. Mr. Su bought a sheet of 20 stamps. There were5 stamps in each row. How many columns ofstamps were there?

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You can use Equal-Shares Drawings to help solve division problems. Hereis how you might solve problem 1 on Student Activity Book page 215.

Start with the total, 15.

15 � 5 �

You can use a similar type of drawing to find the number of rows orcolumns in an array. Here is how you might solve problem 2.

Start with the total, 10.

10 � 5 �

Draw groups of 5, and connect them to thetotal. Count by 5s as you draw the groups.Stop when you reach 15, the total. Counthow many groups you have: 3 groups.

Total:15

15 � 5 � 355 5155Say: 10

�

Draw rows of 5, and connect them to thetotal. Count by 5s as you draw the rows.Stop when you reach 10, the total. Counthow many rows you have: 2 rows.

Total:10 10 � 5 � 2

10

5

5

5

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opposite sides Sides that are acrossfrom each other; they do not meet at apoint.Example: Sides a and c are opposite.

ordered pair A pair of numbers such as (3, 4) in which one number isconsidered to be first and the othernumber second. They can name a pointon a coordinate grid.

ordinal numbers Numbers used to showorder or position.Example: first, second, fifth

ounce (oz) A customary unit used tomeasure weight.

16 ounces � 1 pound

parallel lines Two lines that areeverywhere the same distance apart.

parallelogram A quadrilateral withboth pairs of opposite sides parallel.

partner One of two numbers that add tomake a total.Example: 9 � 7 � 16 total

sum

partner partneraddend addend

perimeter The distance around theoutside of a figure.

perpendicular Two lines or linesegments that cross or meet to formright angles.

pictograph A graph that uses pictures orsymbols to represent data.

pint (pt) A customary unit used tomeasure capacity.

1 pint � 2 cups

place value The value assigned to theplace that a digit occupies in a number.

place value drawing A drawing thatrepresents a number. Hundreds arerepresented by boxes, tens by verticallines, and ones by small circles.

plane figure A closed figure that hastwo dimensions.

962

9

hundreds

6

tens

2

ones

Favorite Ice Cream Flavors

Peanut Butter Crunch

Cherry Vanilla

Chocolate

Each � 3

d b

a

c

Glossary S9

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1. Altogether, the members of theexercise club drink 900 bottles ofwater each month. Each memberdrinks 10 bottles. How manymembers are there?

2. Juan ran 270 minutes in 6 days. Heran the same number of minuteseach day. How many minutes didhe run each day?

Name Date4–4

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278 UNIT 4 LESSON 4 Find Just-Under Quotient Digits

� Choose Between Calculation and Mental Math

Some problems have numbers that are easy to work with mentally. Other problems are easier to solve using pencil and paper or a calculator.

Use Mental Math

Some problems may contain numbers that are easy to work with mentally.

Example: There are 150 ribbons to be handed out at the school Field Day. There are 30 events, and the same number of ribbons will be awarded at each event. How many ribbons will be given out at each event?

The numbers in this problem are multiples of 10. Think: 150 � 30 is the same as 15 � 3, so the anwer is 5. Also, 30 � 5 � 150.

Use Calculation

If the problem asks for an exact answer and there is no noticeable pattern, then you will have to do the calculation.

Example: Last month Mandy was in school for 132 hours. She spent 6 hours in school each day. How many days did she go to school?

We need to find 132 � 6. This is difficult to do mentally, so use paper and pencil or a calculator: 132 � 6 � 22.

Solve. Then write the method you used.

CA Standards: KEY NS 3.0 ; MR 1.0

5–6 Name Date

348 UNIT 5 LESSON 6 Comparison Word Problems

�Use a Venn Diagram to Show Relationships

A is the product of a number and anyother number.

For example, 6, 12, 18, and 24 are multiples of 6.

Find the rule that was used for sorting the data. Thenlabel the Venn diagram.

1.

multiple

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1416

8

2221

3

924

1812

6 15410 2

20

Multiplesof

Multiplesof

Multiples ofand

2.

212

6

10

15

5

70

2814

20

30

7

35

Multiplesof Multiples

of

Multiples ofand

Multiples ofand

Multiples ofandMultiples of

Multiples of, and

Vocabulary

multiple

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230 UNIT 4 LESSON 7 Multiply and Divide with 9

4–7 Name Date

� Math Tools: Quick 9s MultiplicationYou can use the Quick 9s method to help you multiplyby 9. Open your hands and turn them so they are facingyou. Imagine that your fingers are numbered like this.

To find a number times 9, bend down the finger forthat number. For example, to find 4 � 9, bend downyour fourth finger.

The fingers to the left of your bent finger are thetens. The fingers to the right are the ones. For thisproblem, there are 3 tens and 6 ones, so 4 � 9 � 36.

Why does this work? Because 4 � 9 � 4 � (10 � 1) � 40 � 4 � 36

You could show 3 tens quickly by raising the first 3fingers as shown above.

1 10

2 93 84 75 6

� Math Tools: Quick 9s DivisionYou can also use Quick 9s to help you divide by 9. For example, to find 72 � 9, show 72 on your fingers.

Your eighth finger isdown, so 72 � 9 � 8.8 � 9 � 80 � 8 � 72

7 tens 2 ones

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3 tens

�

6 ones

3 tens

6 ones

fourth finger down4 � 9 � 36

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3-4 Name Date7–10

�Temperature in FahrenheitCircle the better estimate of the temperature.

UNIT 7 LESSON 10 Temperature 533

1.

20°F 80°F

2.

32°F 84°F

3.

0°F 53°F

10

20

30

40

50

60

70

80

90

100

–20

–10

–30

0

C F

0

10

20

40

50

60

80

100

–20

–10

110

120

130

140

150

160

170

180

190

200

210

220

30

90

70

COLD32°F

waterfreezes

COLD–10°Fa very

cold day

COOL50°Fa day

when youneed ajacket

HOT212°Fwaterboils

HOT104°FA very

hot day

WARM70°Froom

temperature

4. 5. 6.10

–10

0

10

20

40

50

60

30

C F

–20

–10

–30

C F

0

10

–20

–10

10

20

0

C F

40

50

60

80

70

7. 8. 9.

–20

–10

–30

C F

0

10

–20

–10–20

–10

–30

C F

0

10

–20

–10

20

30

40

50

80

100

110

120

90

70

C F

Write the temperature using °F. Then write hot,warm, cool, or cold to describe the temperature.

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