Summer Math Learning Packet

Students Entering Grade 6

Dear Students and Families,

Get ready to discover mathematics all around you this summer! Just like with reading, regular practice

over the summer with problem solving, computation, and math facts will maintain and strengthen the

mathematic gains you have made over the school year.

Inside you will find creative mathematics activities you can explore at home. The goal is for you to have

fun thinking and working collaboratively to communicate mathematical ideas. While you are working,

think about how you found the solution and why you chose a particular strategy.

The packet consists of a July and August calendar page. Literature and websites are also recommended

to explore mathematics in new ways. We encourage you to complete at least 16 math days each month.

If you want to keep track of the work that you did, you can create a math journal and bring it to school

the first day to share with your teacher.

Don’t forget that if you read any math books, you can add them to the Governor’s Reading Challenge

List.

Sincerely,

Mrs. Santilli

Trumbull Public Schools Math Program Leader

Some ideas for this math packet taken from: Milford Public Schools, Connecticut (http://www.milforded.org/page.cfm?p=3126)Cambridge Public Schools

(http://www3.cpsd.us/Math/math_summer) and CT Region 4 (http://www.reg4.k12.ct.us)

Entering Grade 6

Summer Math Ideas

Materials you may need

Shoebox for math materials Coins

Notebook for math journal Chalk

Pencils Dice

Crayons/Colored pencils Ruler

Game directions and cards (attached)

Cool Math Books to Read: Chasing Vermeer by Windy Isdell

Math Curse by Jon Scieska and Lane Smith

Sir Cumference Series by Cindy Neuschwander

Number Devil: A Mathematical Adventure by Hans

Magnus Enzensberger

Guiness Book of World Records by TIME Inc.

The Lemonade War Series by Jacqueline Davies

The Great Number Rumble: A Story of Math in

Surprising Places by Cora Lee & Gillian O’Reilly

Math Talk: Mathematical Ideas in Poems for Two

Voices by Theoni Pappas

Can You Count to a Googol? by Robert E. Wells

The Toothpaste Millionaire by Jean Merrill

Fun Websites to Explore: Adapted Mind (Grade 5)

BBC Bitesize Math (AWESOME games!)

Fun Brain Math Arcade (Examples)

Mr. Nussbaum’s Math Lab

Greg Tang’s World of Math

Cool Math (try Lemonade Stand and others)

Illuminations (click on 3-5 activities; press SEARCH)

Math Moves You (many math and science

activities)

Mr. Maloney’s Class (check out “Robot Mission”)

Figure This!

Math Playground

IPad/Android Apps:

Name that Number King of Math

Pick-a-Path Alien Math

Numbler Birds n’ Blocks

Math Party Math Evolve

Prime Smash Ninja Prime

July 2013

Week 1

Express the number 50 in at

least 25 different ways. Use

all four operations and

fractions and decimals.

Try an activity on http://www.coolmath.co

m

Challenge yourself! What

did you choose to do?

Count cricket chirps for 15

sec. Then add 39. This should

give you the outside

temperature. Try it for 4

different days. What did you

notice? Do you think this is an

accurate way to figure out

the outside temp? How do

you know?

Play “Smaller to Larger”.

Directions and cards

attached.

Record the moves in

your journal. How did

you know that the

person who won, won?

A farm has cows and

ducks. There are 78

feet and 27 heads.

How many of each

animal are there. How

do you know?

Week 2 Play “Escape from Fraction

Manor” found at

http://www.mathplaygroun

d.com/games.html

Record the fraction puzzles

that you have to solve.

How did you know the

solutions?

Choose a favorite

professional athlete and

research his/her annual

salary. How much does

he/she earn in a month?

A day? An hour?

Read a math book.

Draw a picture AND write a

retell of your favorite part. Be

sure your picture and retell

includes math!

For summer vacation,

your family plans to drive

to Disney World. If the

car travels 60 mph, how

many hours would it take

to get there if you drove

straight through? (Hint:

Find out how many miles

it is from your home to

Disney.)

Since you are driving to

Disney, you need to

figure out how much

gas money you will

need. If gas costs

$3.99 per gallon, and

you get 25 miles per

gallon, how much

money will it cost you

to drive there?

Week 3 Play “Fill Two”. Directions

and cards attached. Cut

out your grids and write the

fractions that go with the

shaded parts. What is your

final sum? What did you

have left over?

Your summer camp is

going to a Rock Cats

game. Each van carries

23 people. If 167 people

are attending the game,

how many vans will you

need? How do you

know?

If 1,000,000 is the answer, what

could the question possibly

be? Think of at least 10

combinations where the

answer is 1,000,000.

Plan a day’s worth of

meals for your family.

With an adult, write a list

of everything that you

will need, and go

shopping. Write a few

paragraphs about how

you used math to

complete this task.

Play “Who Wants to be

a Math Millionaire?”

http://www.mathplayg

round.com/math_millio

naire.html

How did you do? Did

any questions stump

you? Why?

Week 4 Go to the CT Science

Center and visit the Math

Alive! Exhibit.

http://www.raytheon.com/r

esponsibility/community/m

mu/Initiatives/mathalive/ind

ex.html Don’t forget to take

some pictures! What are

some cool math related

activities that you did?

Write an article similar to

the Time for Kids article

http://www.timeforkids.c

om/news/math-

madness/33301

Be sure to use descriptive

writing to explain what

you saw and what you

learned!

Carl Gauss quickly solved this

problem when he was 10

years old: "Find the sum of the

first 100 counting numbers." Try

it. How long does it take you

to solve the problem? Look up

information about Carl Gauss

and see if you can find out

how he solved the problem.

Can you solve it using his

strategy?

Play “Weigh the

Wangdoodles”.

http://www.mathplaygro

und.com/wangdoodles.

html

What did you have to

keep in mind as you

were working through

the puzzles?

Visit the website

“Figure This” and look

for a real life math

challenge. Do all of

your work in your

journal.

August 2013

Week 1

If you save $1 on the first

day of August, then save $2

more dollars the second

day and it doubles every

day, how much will you

have saved by the end of

the month?

(July 1 - $1, July 2 - $2

July 3 - $4, July 4 - $8 etc)

Find the quantities of each

color of candies in a bag of

M&Ms or Skittles. Write a

fraction for each color. Can

you figure out the percents?

Compare it to another bag.

Complete “Table for 19”

on the website Figure This.

http://www.figurethis.org/

challenges/c44/challenge

.htm

Use your journal to record

your findings.

Play “Smaller to Larger”.

Directions and cards

attached.

Record the moves in

your journal. How did

you know that the

person who won, won?

Play “Kakooma”

http://gregtangmath.com/K

akooma/Kakooma?gameTy

pe=Addition

Week 2 You and your family go out

to dinner at De Franco’s. If

the bill comes to $53.42,

and you have a 10% off

coupon, how much will you

pay?

Play “Fill Two”. Directions and

cards attached. Cut out your

grids and write the fractions

that go with the shaded parts.

What is your final sum? What

did you have left over?

Number Puzzle:

I am a number less than

50. When divided by 5,

my remainder is 4. Who

am I? Is there more than 1

answer? How do you

know?

Solve “Gifts Galore” on

Figure This.

http://www.figurethis.or

g/challenges/c80/chall

enge.htm

Show your work in your

journal.

Create your back to school

shopping list.

Go shopping with an adult.

As you place each item into

your cart, ESTIMATE the cost.

Write it in your journal. At

the end of your trip, ABOUT

how much will your total

be?

Week 3 Count the number of times

that your heart beats in 1

minute. How many times

will it beat in an hour? A

Day? A week? A year?

Marvin works in the summer for

his dad's lawn service, 5 days a

week for 4 weeks. His dad offers

to pay him $125 per week.

Instead, Marvin offers to work

for $0.01 the first day, $0.02 the

second day, $0.04 the third

day, $0.08 the fourth day, and

so on. Should Marvin's dad

accept his offer? Explain.

Find a recipe for a favorite

food like chocolate chip

cookies. Now double it.

Write the new recipe in

your journal. For fun, bake

the recipe with an adult.

Take the “Stamp”

challenge on Figure This.

http://www.figurethis.org/c

hallenges/c08/challenge.h

tm

Think about the best

way to attack this

problem.

Create a plan and

follow through. Show

your work in your journal.

Chef Fracto has 9 cups of

milk. He uses 1/2 of the milk

plus 1/2 cup to make

pancakes. He uses 1/2 of

what is left plus a 1/2 cup to

make French toast. Next, he

uses 1/2 of what is left plus a

1/2 cup to make muffins.

How much milk does he use

for each of the three

recipes? How much milk is

left?

Week 4 Play “Make 24” using order

of operations and

parenthesis.

http://www.mathplaygroun

d.com/make_24.html

How many jumping jacks can

you do in 30 sec? If you didn’t

get tired, how many could you

do in 1 minute? How long

would it take you to do

1,000,000 jumping jacks?

I am an even, 3 digit

palindrome (ex: 464). The

product of the digits is 8.

What number am I?

Show your trial and errors

in your journal.

If you roll two dice, how

many different number

combinations could you

have? Make a chart to

help you figure this out.

Take two sheets of 8 ½ by

11 in. paper. Roll one into a

short cylinder and the other

into a tall cylinder. Predict-

which one holds more

popcorn? Design a way to

test out your theory and

what the actual answer is.

Fill Two You need

Decimal Cards, Set A

Hundredths Grids for Fill Two (1 sheet

per player – you will need to make

extra copies)

Crayons or markers (2 or more colors

for each player)

Journal

Play with a partner.

1. Mix the cards and turn the deck facedown. Turn

over the top four cards and place them face-up in

a row for both players to use.

2. The goal is to color in two of your grids as completely

as possible.

3. Players take turns. On your turn, chose one of the

face-up cards, color in that amount on either grid,

and write the decimal under the grid. You may not

color in an amount that would more than fill a grid,

and you may not split an amount to color in parts of

two grids.

4. After one of the four cards has been picked,

replace it with the top card from the deck.

5. Change colors for each turn so that you can see the

different decimals. As you write the number below

each square use a + (plus) sign between each of

the numbers, making an equation that will show the

total colored in on each grid.

6. If all the cards showing are greater than the spaces

left on your grids, you lose your turn until a usable

card is turned up.

7. The game is over when neither player can choose a

card.

8. Players add all of the numbers they have colored in

on each grid and then combine those sums to get a

final total for both grids. The winner is the player

whose final sum is closer to 2.

Variation: Play Fill Three or Fill Four. Follow the same rules,

except the winner is the player whose final sum is

closer to 3 or 4

Use Sets A and B together to play any of the games.

© Pearson Education Inc. All Rights Reserved.

Smaller to Larger

You need

Fraction Cards , Sets A and B (1 set for 2 players, 2

sets for 3-4 players)

2 Tic-Tac-Toe board

Journal

Play with a partner or in a small group.

1. Mix together all of the decimal cards.

2. Each player draws a 3 x 3 grid (tic-tac toe) board,

with spaces large enough to fit the Decimal Cards

inside.

3. Mix the combined deck and place it facedown

between the players.

4. Players take turns. On your turn, draw the top card

from the pile and decide where to place it on your

game mat. The numbers must be in increasing

order from left to right in each row AND from top to

bottom in each column. (For a challenge, also

include BOTH diagonals.)

5. If you draw a card that you can not place because

of the numbers already on your board, you must

keep the card and you lose your turn.

Example: Suppose that after six turns, your

board looks like this. You draw 0.15 and it

cannot be played because 0.375 is already

in the lowest place on the board. Put the 0.15

card in your pile of cards that can not be played.

6. If you are unsure which two numbers is larger, discuss

them with other players, or use one of the grids

attached to help you decide.

6. The game is over when each player has filled all

nine spaces.

7. The winner is the player who has fewer cards that

can not be played. If no player fills all nine spaces

of the game board, the player with more spaces

filled on the game board is the winner.

© Pearson Education Inc. All Rights Reserved

Hundredths and Thousandths Grids

© Pearson Education Inc. All Rights Reserved.

TRUMBULL PUBLIC

SCHOOLS

CURRICULUM DEPARTMENT 6254 Main St., Trumbull, CT 06611 (203) 452-4336 Fax: (203) 452-4342

Linda S. Paslov, Ed.D. Director of Curriculum, Instruction,

& Assessments e-mail: paslovl@trumbullps.org

Terry Buckingham Program Leader K-5 Language Arts buckingt@trumbullps.org (203) 452-4337

Floria N. Mallozzi Program Leader K-5 Science mallozzf@trumbullps.org (203) 452-4338

Mary E. Santilli Program Leader K-5 Mathematics santillm@trumbullps.org (203) 452-4338

Rita B. Ciarmella District/Curriculum Support Specialist ciarmelr@trumbullps.org (203) 452-4339

Karen Mac Veigh Assistant District Faciliator TEAM Program macveigk@trumbullps.org (203) 452-4337

Claudia Konopka Secretary konopkac@trumbullps.org (203) 452-4336

June 17,2013

Dear Parents and Guardians of Grade 5 Students,

Congratulations! Your child is preparing to enter middle school and we send our very best wishes for a successful experience. "As students enter Grade 6, they must continue to reinforce multiplication and division facts through .12 x 12 = 144 and 144 + 12 = 12. These essential skills will be utilized immediately as they enter the middle school.

The Trumbull School District has provided an online Summer Math Review packet to help your child retain these important skills. Both the math packet and the answers are available on the Trumbull Public School website at www.trumbullps.org. Follow the steps provided below to access this packet:

Click on "Curriculum" -> "Summer Enrichment" -> "Summer Math" ~~~Elementary"

An answer key is provided in this same section for self-correcting. You may request a copy of the Summer Math Packet from your school's office if you are unable to download it from a computer. It is essential that math skills be reinforced over the summer months as they are critical walk-in-skills.

We also recommend the websites and apps below for additional practice:

• http:{/resources.oswego.org/games/mathmagician/cathymath.html Math Magician allows you to practice your facts with a timer. You can even print out a certificate when you reach 1 00%!

• Http://www.arcademicskillbuilders.com ArcademicSkiiiBuilders Choose the fun games that provide practice with multiplication and division as well as addition and subtraction.

1-Pad Apps

• Fractions and Decimals [Mind4Leaming Inc FREE) • Math Doodles [Carstens Studios Inc $2.99) • Motion Math Fractions HD [Motion Math $2.99)

Simple board games such as Battleship, Cribbage, Chess, Jenga, and Backgammon all promote mathematical thinking. Additional games and websites can be found on the Trumbull Public Schools District website. Your support in helping your child retain his or her math skills is greatly appreciated. Have a wonderful summer!

Sincerely,

IYlw~ SotN-1'1 ~r Mary sb'ntilli Program Leader for Elementary Mathematics

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