Spartanburg School District 5
Summer Math Learning Packet
Students Entering Grade 4
The summer math activities will enable your child to review math concepts and reinforce skills learned this year. Just a few minutes each day spent “thinking and talking math” will help reinforce the math that has been learned and begin to bridge the foundation for extending to the concepts that will be developed next year. The goal is for your child to have fun thinking and working collaboratively to communicate mathematical ideas. While your child is working, ask him how the solution was found and why a particular strategy was chosen.
The math practice in this summer packet addresses 4 critical areas in grade 3:
1. developing understanding of multiplication and division and strategies for multiplication and division within 100
2. developing understanding of fractions, especially unit fractions (fractions with numerator 1)
3. developing understanding of the structure of rectangular arrays and of area
4. describing and analyzing two-dimensional shapes.
The packet consists of 2 calendar pages, one for June and one for July, as well as directions for math games to be played at home. There are problems included for each day of the week, excluding weekends. Literature, worksheets, APPs and websites are also recommended to explore mathematics in new ways. We encourage your child to complete at least 15 math days each month. We hope your child will spend at least 10 minutes a day, 4 to 5 times a week, practicing math. Create a goal with your child to help him stay strong in math over the summer. For example, my child will aim to complete at least 200 minutes of math practice over the course of the summer and keep track of his learning in a math journal.
If the activities suggested don’t seem to “fit your child” or you have your own websites/literature/math practice you would like to do, then feel free to substitute your own activities that better suit your child’s needs or learning style.
Student mathematicians - keep your mathematics skills sharp and have a safe and enjoyable summer. J
Grade 4Summer Math Ideas
Math Tools You Will Need:
Do your best to complete as many of these summer math activities as you can! Record your work in your math journal every day. In August share your Math Journal with your fourth grade teacher.
Each journal entry should:
ü Have the date of the entry
ü Have a clear and complete answer
ü Be neat and organized
Here an example of a “Great” journal entry:
Math Books to Read:
The $1.00 Word Riddle Book by Marilyn Burns
Fraction Fun by David Adler
The Best of Times by Greg Tang
Pigs Will be Pigs: Fun with Math and Money by Amy Axelrod
http://www.aplusmath.com/ http://pbskids.org/cyberchase/math-games/ http://www.gregtangmath.com/ http://www.coolmath4kids.com/
http://bedtimemath.org http://www.playkidsgames.com./ http://www.coolmath.com./ http://www.figurethis.org./index.html
Games To Play: (You will need a deck of cards, with all the face cards removed. Treat the ace as the number 1.)
1. Multiplication War - Deal out all the cards equally between 2 or 3 players. Each player turns over 2 cards and multiplies the numbers together. The person with the higher product wins the pile of cards. If you have the same product, then repeat the procedure. Winner takes all the cards.
2. Close to 1000 - Deal 8 cards to each player. Use any 6 of your cards to make two 3-digit numbers. Try to get a sum that is close to or equal to 1000. Write these 2 numbers in your journal. Your score is the difference between your number and 1000.
Example: Your eight cards are 1, 5, 4, 3, 1, 8, 3, 8
You can combine 148 + 853 = 1001. Your score is 1 since the difference between 1001 and 1000 is 1. Discard the 6 used cards and pick 6 new cards. Whoever has the lowest total score after 5 rounds wins the game.
Other games to play: Monopoly, Othello, Battleship, Connect Four, Mastermind, Mancala, Legos, KʼNex, Simon, Yahtzee
Worksheets to Practice Math:
· Everyday Mathematics, Addition Top It
· Everyday Mathematics, Beat the Computer, Multiplication
· Everyday Mathematics, Divisibility Dash
· Everyday Mathematics, Equivalent Fractions
· Pizza Fractions 1
· My Times Tables
· Tony’s Fraction’s Pizza Shop
· Pearl Diver
· Lobster Diver
· Factor Samurai
· Fraction App by tap to Learn
· Dare to Share Fairly
· Long Division Touch
· Math Ninja HD
· Quick Math
· Wuzzit Trouble
· Sushi Monster
· Deep Sea Duel
· Quick Math – Arithmetic & Times Tables
· Conundra Math
· Thinking Blocks
· Fast Facts Addition, Subtraction
· Fast Facts Multiplication, Division
June 2014 Entering Fourth Grade Mathematics Calendar
Read Fraction Fun by David Adler.
Which is larger, ⅔ or ¾? How do you know? Prove it.
Masha had 120 stamps. First, she gave her sister half of the stamps and then she used three to mail letters. How many stamps does Masha have left?
Try a new game at www.funbrain.com
Read Pigs Will be Pigs: Fun with Math and Money by Amy Axelrod.
Get a menu from a restaurant and add up what it would cost for your family to eat there.
Play the game Close to 1000. (see directions)
When rounding to the nearest ten, what is the smallest whole number that will round to 50? The largest? How many different whole numbers round to 50?
Practice math facts in a fun way at the website www.multiplication.com
What games did you play?
Compare the fractions below. Use the symbols >, =, or < to record your comparisons. Draw a picture to illustrate your answer.
2/6 and 5/6 1/2 and 1/3
Play a game. What strategy did you use? Would you use the same strategy again?
Play the Product Game at www.illuminations.nctm.org
Record the strategy that you used.
Draw a 6-inch number line that begins with 0 and ends with 1. Roll a die. Divide your number line into this number of equal segments. Label the segments. Explain your thinking.
Rosa made 56 cupcakes. She put 8 cupcakes into each box and sold the boxes for $3.00 each. How much money did Rosa receive?
Write a story problem that can be solved using the number sentence
9 x 3 = .
I am a number between 20 &
30. When you divide me into 6 equal groups, there is an even number in each group and 2 are left over. What number am I? Write your own division riddle.
Read The Best of Times
By Greg Tang.
Make a set of flash cards and practice the multiplication facts.
Play Chairs at www.illuminations.nctm.org If you have 8 tables, whatʼs the greatest number of people you can seat in a line?
Arrange the fractions in order, beginning with the least. Explain your answer with a picture.
1/5, 1/7, 1/3
Use the numbers 3, 5, and 15 to write a multiplication number story. Write a related division story. Write a number sentence for each story.
Find a newspaper and cut the articles or pictures out. Organize them by area from least to greatest.
Figure your age in months. How many months old are you?
Roll 2 dice and multiply to find the product. Record the products. Do this 25 times. Create a bar graph with the results. What do you notice?
July 2014 Entering Fourth Grade Mathematics Calendar
Choose one activity for a day and record the start and stop time. Calculate the elapsed time for the activity (ex. time you wake up and go to sleep).
Challenge: convert all of your times into minutes or hours.
Choose an activity from www.gregtangmath.com
Draw a picture of a quadrilateral. Draw a picture of a rhombus.
How are they alike? How are they different?
Find 4 numbers larger than 1,000 in a newspaper. Put them in order from least to greatest. What is the difference between the smallest and the largest?
Play Concentration at www.illuminations.nctm.org Choose cards: fractions games: face down
Draw pictures that represent some fractions.
Select ten items from a grocery flyer and find the total cost of the items. Calculate how much change you would receive from a one hundred dollar bill.
The product of two numbers is
30. The sum of the two numbers is less than 20. What might the two numbers be? Show all possible solutions and explain your thinking.
Write multiplication and division combinations for 6, 7, and 42. Can you write a word problem to go with these equations?
When rounding to the nearest hundred, what is the smallest whole number that will round to 500? The largest? How many different whole numbers will round to 500?
Write a word problem whose answer is 12. Have someone solve the problem. Choose another answer and make up a problem.
There are 6 tables in Mrs. Potter's art classroom. There are 4 students sitting at each table. Each student has a box of 10 colored pencils. How many colored pencils are at each table? How many colored pencils in total?
A farmer has chickens and cows. What combination of animals could total 24 legs? Is there more than one combination?
Play Multiplication War.
(see direction page)
Play a game. What strategy did you use? Would you use the same strategy again?
Family fun! Go on a road trip. Write down the miles on the odometer when you leave. Write down the miles when you get home. How many miles did you travel?
Try a new activity at www.coolmath4kids.com
Read The $1.00 Word Riddle Book by Marilyn Burns.
What is your name worth? What is the most expensive word you can make?
Choose 1 number: 2, 3, 5, or 6. Double the number you chose. Double the sum. Keep on doubling until you get a sum that is greater than 1,000. How close to 1,000 is the number you reached?
Plan a meal for your family. With an adult, make a list of the ingredients, go shopping, and then follow the recipes. Are there fractions in your recipes?
Have a scavenger hunt for real-world examples of right angles (ex. the corner of a book).
Gather 3 store receipts. Find the total amount that was spent.
Go to the website www.setgame.com
Play and enter to win a prize!
YOU DID IT! Please bring your journal to your fourth grade teacher on the first day of school!
Answers will vary for many of the activities depending on the choices students make. Here are the answers for activities with specific solutions.
¾ is larger than 2/3.
Masha had 57 stamps left.
Total number that round to 50: 10
The numbers are 45, 46, 47, 48, 49, 50, 51, 52, 53, 54.
2/6 < 5/6 ½ > 1/3
7 boxes of cupcakes. She made $21.00.
There were 9 tricycles at the park. How many wheels were there altogether? (9 groups of 3 wheels=27)
1/7, 1/5, 1/3
Example story problems:
Multiplication number story: Kellen has 3 bags with 5 apples in each bag. How many apples are there in all?
Number sentence: 3 X 5 = 15
Division number story: If 15 apples are to be packaged 5 to a bag, then how many bags does Kellen need?
Number sentence: 15 ÷ 5 = 3
A quadrilateral has 4 sides and 4 angles.
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
A rhombus is a parallelogram with equal sides.
A rectangle is a parallelogram with 4 sides and 4 right angles. Opposite sides have the same length.
A square is a rectangle and a rhombus with 4 equal sides and 4 right angles.
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
They are alike because they each have 4 sides and four angles. They are different because they have different side lengths and different angle measures.
2 x 15 = 30
3 x 10 = 30
5 x 6 = 30
When the factors are added together they add up to less than 20.
2 + 15 = 17
3 + 10 = 13
5 + 6 = 11
6 X 7 = 42
7 X 6 = 42
42 ÷ 7 = 6
42 ÷ 6 = 7
Total number that round to 500: 100
All of the numbers from 450 to 549 will round to 500.
Each student has a box of 10 pencils, which is one group of 10. There are 4 students at each table, so there are 4 groups of 10 pencils or 4 × 10 pencils at each table. We also know that the "4" in the number 40 means "4 tens" so we know there are 40 pencils at each table.
Since there are 6 tables, and 40 pencils at each table, there are 6 × 40 pencils in total. There are 240 pencils in total.
1 cow and 10 chickens
2 cows and 8 chickens
3 cows and 6 chickens
4 cows and 4 chickens
5 cows and 2 chickens
Start like this:
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
And so on.