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TRUMBULL PUBLIC

SCHOOLS

Terry Buckingham Program Leader K-5 Language Arts buckingt@trumbullps.org (203) 452-4337 Floria N. Mallozzi, Ed.D. 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 Specialist District/Curriculum Support kleinj@trumbullps.org (203) 452-4339 Karen MacVeigh Assistant District Facilitator TEAM Program macveigk@trumbullps.org (203) 452-4337 Claudia Konopka Secretary konopkac@trumbullps.org (203) 452-4336

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

June 19, 2014

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 × 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 100%!

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

• https://www.tenmarks.com Ten Marks Parents can sign students up for a free summer program. Content includes rigorous multi-step problems to review, challenge and enrich student’s math understanding.

I-Pad Apps

• Fractions and Decimals (Mind4Learning 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,

Mary Santilli Program Leader for Elementary Mathematics

TPS

Summer Math Learning Packet

Students Entering Grade 6 Get ready to discover mathematics all around you this summer! Just like reading, regular practice over the summer with problem solving, computation, and math facts will maintain and strengthen the mathematic gains you made over the school year. Inside you will find Common Core linked creative mathematics activities to 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 2 calendar pages, one for July and one for August, and directions for math games to be played at home. Literature and websites are also recommended to explore mathematics in new ways. We encourage you to complete at least 16 math days each month. Our best wishes for a fabulous summer! Mary Santilli and the Trumbull Public Schools Math Specialist Team

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 Prime smash

Materials you will need

Shoebox for math materials Coins Notebook for math journal Chalk Pencils Dice Crayons/Colored pencils Ruler Game directions and cards (attached)

Directions

Do your best to complete as many of these summer math activities as you can! Record your work and/or what you learned in your math journal every day. An adult can help you. In September share your Math Journal with your first grade teacher. Each journal entry should:

Have the date of the entry Have a clear and complete answer Be neat and organized

Here is an example of a “Great” journal entry: July 5, Today I went outside to play at 9:35 a.m. and came in at 11:25 a.m. I was outside for a total of 110 minutes. I know this because it is 60 minutes from 9:35 to 10:35. Then another 30 minutes from 10:35 till 11:05. Then it is 20 min to 11:25. So 60 min. + 30 min.+ 20 = 110 min.. This can also be written 1 hours 50 min or 1 5/6 hr.

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 and press SEARCH) Math Moves You (lots of 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 Motion Math Wings Numbler Birds n’ Blocks

Math Party Math Evolve Prime Smash Ninja Prime

July 2014

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.mathplaygro

und.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.mathplaygro

und.com/math_millionair

e.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.co

m/responsibility/commu

nity/mmu/Initiatives/mat

halive/index.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 2014

Week 1

If you saved $1 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

/Kakooma/Kakooma?ga

meType=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 a

I? Is there more than 1

answer? How do you

know?

Solve “Gifts Galore” on

Figure This.

http://www.figurethis.org/

challenges/c80/challenge

.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 a 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/cha

llenges/c08/challenge.htm

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 1/2 cup to

make French toast. Next,

he uses 1/2 of what is left

plus 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.mathplaygrou

nd.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

can not 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.