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: [email protected]
Terry Buckingham Program Leader K-5 Language Arts [email protected] (203) 452-4337
Floria N. Mallozzi Program Leader K-5 Science [email protected] (203) 452-4338
Mary E. Santilli Program Leader K-5 Mathematics [email protected] (203) 452-4338
Rita B. Ciarmella District/Curriculum Support Specialist [email protected] (203) 452-4339
Karen Mac Veigh Assistant District Faciliator TEAM Program [email protected] (203) 452-4337
Claudia Konopka Secretary [email protected] (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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