Student’s Name:

Summer Math PacketFor Students Entering 5th Grade

Dear Parents,

• FunBrainttp :llwww.funbrain.corn

MATH ENRICHMENT• NRich

https:Ilnrich.maths.orq

• Greg Tang Mathhttp: t/www.p repta pmath.com/summer

M SUMATH

• Quantlles.comhftDs:lIwww.guantiies~comicontentlsummer.matchallenpel

• Summer Math Losshttp:ffwww,pse. arvard.edulnewslukll 6106/summer.math-losslukll6lo6lsummer-math-loss.

+ Kindly direct questions to;Dr. Florla N. MallozziCoordinator of K-S ST MCurriculum DepartmentLong Hill Administration Bpl big(203)452-4336

Summer is a time to have fun, relax, and reflect with your child onall that he/she has learned in the last ten months. There is muchgrowth to celebrate! Let’s keep the growth going by completingthis Summer Math Packet. Research supports the fact that thesummer slide is real, especially for math. As you plan summerevents with your family, we encourage you to take time to supportyour child’s growing mathematical literacy. A few minutes of dailymath practice will keep math concepts and skills current for yourchild as he/she prepares to enter grade 5.Part 1: Basic Fad PracticeUpon entry to grade 5, all students should have mastered basicfacts for all operations. They are also expected to fluently add andsubtract large numbers. Although this section would benefit all, wehighly recommend that students who struggled with basic facts, orreceived a 1 or 2 in Number, Operations and Algebraic Thinking onthe Trimester 3 report card, complete this portion of the packet.Part 2: Problem SolvingThis section is a review of grade 4 numeracy topics and providesappropriate practice for all students to keep their mathematicalthinking sharp over the summer.Part 3: Creative ThinkingThis section offers enrichment extensions for those studentslooking to challenge themselves. Encourage your child to try them!Please remind them that they get to use their math knowledge indifferent ways as they try the Creative Thinking questions.Additionally, you may want to try some of the activities in thecolumn to the left. Check out FunBrain, NRich and Greg Tang Mathfor more math challenges. If you are interested in extra summerpractice, you can access the Quantiles.com site found to the left.Quantiles.com is available to all students across the state ofConnecticut.Although the Summer Math Packet is optional, those whoparticipate should return their completed packets to their 2017-18homeroom teacher by Friday, September 1. Your math specialistwill recognize the hard work of those students who complete thepacket. Your support in helping your child maintain math skills isessential.

Have a safe and wonderful summer.

Mary Santilli, Math Program Leader, and the Math SpecialistTeam

ONLINE PRACTICE• X-Tra Math

https:/Ixtrarnath.org

Parent Signature:

Part 1: Basic Fact Practice

x10=100 9x =72 64= x8 35= x7

36= x9 x7=42 6x =24 6x =18

x2=24 12=3x x4=28 x9=45

32= x4 x9=18 24= x4 42= x7

x3=27 35=7x x3=18 x7=14

54=6x x8=40 15=3x 60=6x

lOx =70 30= xG x9=63 x8=48

90=lOx x3=24 20=4x 72=9x

x9=81 28=7x x8=56 x6=30

36=6x x8=72 18=6x 54=9x

Summer 2017 Entedng Grade 5

Part 1: Basic Fact Practice

x9=45 24= x4 x9=18 x2=24

42= x7 x4=28 12=3x 32= x4

x7=14 >3=18 35=7x x3=27

15=3x 60=6x 54=6x x8=40

lOx =70 30= x9=63 x8=48

90=lOx x3=24 20=4x 72=9x

x9=3l 28=7x x8=56 x6=30

36=Gx x8=72 l8=6x 54=9x

x10=lOO 9x =72 64= x8 35= x7

36= x9 x7=42 6x =24 6x =18

Summer 2017 Entering Grade 5

Part 1: Basic Fact Practice

x5=30 7x =49 56= x8 20= x4

54= x9 x6=43 5x =45 5x =36

x7=63 54=6x xS=40 x4=32

40= x5 x864 24= x4 42= x7

x3=27 35=7x x3=13 x7=14

36=4x x3=6 30=6x 56=7x

7x =7 18= x9 x9=72 x3=30

24=6x x3=9 25=5x 273x

x10=90 28=7x x3=15 x9=81

16=4x x8=72 18=6x 90=lOx

Summer 2017 Entering Grade 5

Part 1: Basic Fact Practice

12=3x 32= x4 x9=45 x2=24

x4=23 6x =24 42= x7 x9=13

x3=13 35=7x x7=14 x3=27

6O=6x 54=6x 15=3x x8=40

30= xG x9=63 lOx =70 xg=48

x3=24 20=4x 9010x 72=9x

28=7x x8=56 x98l x6=30

x8=72 l8=Gx 36=6x 54=9x

9x =72 64= x8 xlO=lOO 35= x7

x7=42 24= x4 36= x9 6x =18

Summer 2017 Entering Grade 5

Part 1: Basic Fact Practice

7x =7 18= x9 x9=72 x3=30

24=6x x3=9 25=Sx 27=3x

x10=90 28=7x x3=15 x9=81

16=4x x8=72 18=6x 90=10>c

xS=30 7x =49 56= x8 20= x4

54= x9 x6=48 5x =45 6x =36

x7=63 54=6x x8=40 x4=32

40= x5 x8=64 24= x4 42= x7

x3=27 35=7x x3=18 x7=14

36=4x x3=6 30=6x 56=7x

Summer 2017 Eritedng Grade 5

Part 1: Basic Fad Practice

6x =24 2x =24 x9=45 x3=18

x9=18 xlO=50 42= x7 lOx =70

l2=3x 32= x4 x7l4 24= x4

35=7x x3=27 lS=3x 60=6x

54=6x x840 x953 30= x6

x8=48 xlO=lOO 90=lOx x3=24

20=4x 72=9x x9=8J. 28=7x

xS=56 x6=30 366x xS=72

l8=Gx 54=9x x4=28 9x =72

64= x8 35= x7 36= x9 x7=42

Summer 2017 Entering Grade 5

Part 2: Problem Solving

1. Write the number 85,708 in expanded form.

2. The sale prices for 3 homes are $212,599, $209,699, and $220,499. Writethe home prices in order from greatest to least.

3. The height of the Willis Tower is 1,450 feet. The Petronas Towers inMalaysia are each 1,482 feet tall. Which is taller? Explain how you know. Usecomplete sentences and the correct math vocabulary.

4. Emily read a 210 page book in 7 days. She read the same number of pageseach day. Write the number sentence that shows how to find the number ofpages Emily read each day. Then solve and label the answer.

June 2017 Entering Grade 5

5. Marcie’s horse weighs 1,460 pounds. Sue’s horse weighs 943 pounds. How muchmore does Marcie’s dog weigh than Sue’s dog?

6. Vera went on a 3 day trip in which she traveled 336 miles the first day, 423 milesthe second day, and 357 miles on the third day. Is 300 or 400 a more reasonableestimate for about how far she went on each of the 3 days? Explain your reasoningin complete sentences.

7. If you grow ~ of an inch each month for a year. How many inches did you grow in ayear? If you are 3 ft. 6 inches now, how tall are you at the end of the year?

8. Maria knows there are 24 hours in one day and 7 days in one week. So, shefigured out that there are 168 hours in one week. Is her answer reasonable? Explainwhy or why not.

Entering Grade 5

9. Use the following information to answer the following 2 questions. You are goingon a three-day camping trip in the Grand Crayon. The chart shows the weights ofsome equipment you may need. Each person must take at least 2 water canteens and3 food tins on the trip.

water canteen 1

food tin 2

compass 1

shovel 5

binoculars 3

tent 8

chair 10

pillow 2

extra clothes 7

cooking pots/pans 30

sleeping cushion 4

10. You are going to hike alone & carry a backpack. The backpack can hold up to 25lbs. What equipment will you take on the trip? Remember what you have to take.

Entering Grade 5

11, You and 4 friends are taking a donkey on the trip. The donkey can carry 180 lbs.You will not take backpacks. You will need 2 tents. What equipment will you take onthis trip?

12. You need 2 1/2 cups of raisins for a recipe. If you want to double the recipe,how many cups of raisins will you need?

bRA:MObEL

WRIit THE(EQUATIQN 7HAT REPRESENT OWR~MQbEL

Entering Grade 5

13. Ben has 4 jars that he wants to fill with pennies. tf he puts 231 pennies in eachjar, how many pennies does he have all together?

14. 3 x 1,789.

15. a.) Find the product of 6 and 4,296

b.) Explain how you would estimate to check if your answer is reasonable.

16. Write t~ solve your own problem multiplying a 4-digit by 1-digit number with aproduct between 8,000 and 9,000.

Entering Grade 5

17. Four friends bought a present for Joan which was $36. How much less wouldeach friend pay if 6 friends shared the cost equally rather than 4?

18. Solve 23 x 46

19. Use mental math to multiply:

aj30x70: bj600x7:

c.)500x30: dj4OxSOt

20. To win a game, you need a product that is as close to 1,600 as possible. You canchoose 2 factors from the numbers 18,42, 56, and 81. Which numbers can youselect so that the product is closest to 1,600?

Entering Grade 5

21. Miss Smith has 12 weeks to practice for a running race. Over the course of oneweek, she plans to run 17 miles. How many miles will Miss Smith run all together?

22. There are 52 weeks in 1 year. How many weeks are in 12 years?

23. bave plans to tile his floor. He wants to buy 25 black tiles and 23 white tiles.Each tiles costs $16. How much money will it cost bave to tile his floor?

24. Jim has 3,000 tickets for rides at the school carnival. Jim needs to pack smallplastic bags with 8 tickets in each bag. About how many bags will he need?

25. Jay has 147 trophies and 4 shelves. He wants to put the same number oftrophies on each shelf. How many trophies will be on each shelf? How many trophieswill be left over?

Entering Grade 5

26. Jim has 46 bVbs. He wants to buy 5 cases that hold 8 bVbs each. Is hecorrect? Why or why not?

27. The class decides to have a picnic at an amusement park. Four students buy 35tickets for rides. If the students get the same number of tickets, how many ticketsdoes each student get? How many more tickets should they buy to evenly distributewhat is left?

28. 60 people will be attending a dinner party. Each table at the party can Seat 8people. How many tables are needed to seat everyone? Write an equation and solve.

29. Tigerville Elementary has 585 students. All 3 grades have the same number ofstudents. How many students are in each grade?

Entering Grade S

30. solve:

417 +8: 769 +3:

31. Max skated of a mile. Carol skated of a mile, and Pat skated of a mile.

Write these distances in order from least to greatest. Explain how you decided.

32. Alicia wants to cut this board in 4 equal parts. She cut off the shaded part

first. bid Alicia cut off of the board? Explain.

N I I

33.) List all the factors of 36

Entering Grade 5

34. Lynn says that all numbers that are multiples of 4 have a factor of 2. rs Lynncorrect? Explain.

3 735.~+

36. Write 3 equivalent fractions for 5/6

37. Mark is making banana bread and muffins for a party. He uses of a bag of

walnuts for the bread and of a bag of walnuts for the muffins. How much did heuse in all?

ite an equation and solve.

How many bags of walnuts should Mark buy?

Entering Grade 5

38. Find the perimeter of a square with a side of inches in length. Draw the squareand label sides.

Perimeter: _________

39. You use of a sheet of construction paper to make decorations. How much ofthe sheet is left? Simplify if you can.

40. dare had of a pound of almonds. She used of a pound to make a cake. How

many pounds of almonds were left? Simplify if you can.

41. One lap around a race track is 440 yards. If you ran around the track 3 times,how many feet would you run?

Entering Grades

42. Mary is studying the layout of the zoo. She sees that of the zoo is animals,

-~ is food courts, and of the zoo is reserved for picnic areas. What fraction of thezoo is left for the new bino exhibit.

• b•AW& Ott

vvarsANEQATToWFOSa

EXPLAIN YOUR REA5Q~JIN& ________

Entering Grade 5

Addition 1. 1Find the sum of the two numbers in each problem.Show all work. Examp e:

+188

636652 203 726

÷345 + 525 +268

Decimal AdditionRemember to line up the decimals before adding. Bring the decimal straight down in your answer.

$7.75 $51.40 + $2.86 $12.74 + $8.254 1.46

3 13

SubtractionFind the difference between the two 2 1 8numbers in each problem. Show all work. Example:

525

407 7,007 3,414- 198 -2.426 -1.218

33,838 80,401 - 4,423 7,589 - 94- 1.497

MultiplicationFind the product of the two numbers in each problem. Show all work.

bivisionFind the quotient in each problem.

605 432 384x4 x8 x9

3710 4851 1028x3 x 2 x 5

591 + 7: 264 ÷ 12 2815 ÷4

Round to the nearest....

Prime Number: A whole number greater than I that has only two factors, 1 and itself.Examples; 2, 3, 5, 7, 11, 13, 17, and 19 are all prime numbers.

Composite Number: A whole number greater than 1 that has more than two factors.Example: 8 is a composite number since its factors are 1, 2,4, 8.

betermine if the following numbers are prime or composite. If the numbers are composite,

please list all of the factors.

27:

39:

43:

49:

Comparing FractionsCompare each pair of numbers, Write thecorrect comparison symbol (<,>,: ) in eachcircle. Make sure you have commondenominators before comparing numerators.

2~~J8

1 4 1 6 75 5 10 10 -iö~

1 5 2 8 12 4 3 8 ~

rn3I c~_) ;j:

~1~12

Example:

38

56

34

8 4

CN 1 3\‘%___) 4 5

Ordering Fractions

Order the following fractions from least to greatest.

3 5 4 2 78 8 8 8 8

1 1 1 1 12 4 6 35

Adding Fractions and Mixed NumbersAdd the following fractions. Make sure you have common denomina ors before a my.Remember, you only add the numerator (topnumber) and you keep the denominator (bottom number) the same! Simplify your finalanswers.

I÷i. —+ —:

10 10 8 8 9 9 12 12

Subtracting FractionsSubtract the following fractions. Make sure you have common denominators beforesubtracting. Remember, you only subtract the numerator (top number) and you keep thedenominator (boftom number) the same! Simplify your final answers.

1Z 341_66 12 12 1010 55

Geometry-WhoUse the followingquestions below.

amPshapes to answer the

/ /CA~

I am a 2 dimensional shape that has four sides. I have four 90 degree angles. I havetwo sets of parallel lines. I also have two sides that are one length, and my other twosides are a different length.

Who am I?____________________

ram a 2 dimensional shape that has three acute angles. All of my sides are the samelength. I have no parallel sides.

Who am I? ____________________

I am a 2 dimensional shape that has four sides. I have two obtuse angles and twoacute angles. I have two different sets of parallel sides. I also have two sides that areone length, and my other two sides are a different length.

Who am I? ____________________

I am a 2 dimensional shape that has 5 obtuse angles. I do not have any sides that areparallel.

Who am I? ____________________

I am a 2 dimensional shape that has four 90 degree angles. I have four sides thatare all the same length, I have two different sets of parallel lines.

Who am I? ____________________

I am a 2 dimensional shape. My perimeter is also known as a circumference.

Who am I?

Part 3: Creative Thinking

1.

Movie Master

2.

Last month. I was the Movie Master for my Movie-of-the-Month Club. Ibought some adults’ tickets at $7 each and some children’s tickets at $5each. I spent a total of $104.

How many of each kind of ticket did I buy?

Coin Quest

Arrange one or more coins on each spot so that the total value of allthe coins along each line is 42’t

Use the followingcoins:

• 1 quarter• 3dimes• 5 nickels• 4 pennies

Entering Grade 5

F—

2

Fred. Ned. and Ted

Fred, Ned, and Ted each have a whole number of dollars.Together

• Fred and Ned have $20• Fred and Ted have $25• Ned and Ted have $27

How much money do the three of them have altogether?

Entering Grades

And the Winner is...

Three thousand people voted in a town election. The winner beat the loserby 2~OOO votes. How many votes did the winner get?

Fish Facts

Use the numbers in the box to complete the story so it makes sense.

11 25 298

199 23

100 99

• The pet shop has goldfish and guppies.• There are ___________ more guppies than goldfish,• Or ___________ guppies and ___________goldfish.• Each tank holds ___________ fish.• There are ________ full tanks and

one tank that holds just __________ fish.

Entering Grade 5

7.

Which One is Wrong?

Suppose you have $5 in quarters and dimes. Which of thefollowing could not be your total number of coins?

2337264735

8.

What’s TAT Worth?

Each letter below stands for one digit.Same letters stand for the same digits.bifferent letters stand for different digits.

If BxAxTz8

AndCxA x T= 12

Then Tx AxT=?

Entering Grade 5

9.

New Address

We just moved up the street. Here’s how to find our new house number.

• Our house number has two digits, both of which are the some.• The sum of my parents’ ages is our house number.• Reverse the digits of one parent’s age and you get the other parent’s age.• Our house number is 11 times the difference in my parents’ ages.

What are my parents’ ages?

What is our new house number?

Syd’s Cycle Shop~

Enter the contest at Syd’s Cycle Shop!

Syd has three kinds of cycles in his shop. He has tricycles, bicycles, andunicycles.

There are a total of 150 wheels and 70 seats on cycles in Syd’s shop.

There are twice as many bicycles as tricycles.

How many of each kind of cycle is in Syd’s shop?

Entering Grade 5