4th Grade Math Spiral Homework

Week 1 Day 1 Name __________________________________

1. Is the number 38 an even number or odd number? 2. Compare 5/6 and 3/6 by drawing models to prove

Explain how you know. your thinking.

So, 5/6 is _____ 3/6.

416 – 274 = _________ 4.

Draw a model of 20 ÷ 4.

3. Show work here. Check (verify) using addition.

Write a word problem for 20 ÷ 4.

Week 1 Day 2 Use two different strategies (ways) to find
the product of 8 and 7.
Write in expanded form: 7,893
strategy 1 strategy 2
1. 2.

_____________________________________

Write in standard form:
five thousand, four hundred eight

___________________________________

Write in standard form:
2000 + 30 + 7

___________________________________ So, 8 x 7 = _________

Ms. Roberts’ students want to collect 1000 cans for
3. recycling this month. If they already have 562 4.
Label the following numbers on the number line.
cans, how many more cans are needed by the end of
2/3 0 1/3 1 3/3
the month to reach their goal?

Ms. Roberts’ class needs to collect ______ more cans. Compare the fractions using >, <, =.
1/3 _____0 1 _____ 3/3 2/3 _____ 3/3
Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 1 Day 3 Name _________________________________
2.
1.
Do you remember from 3rd grade? Think “equal groups of”.
Compare using <, >, or =.

534 ______543 8 x 12______12 x 8 3 x 7 = ________ 30 x 7 = __________

9803 ______ 9083 13,162 _____ 13,612 4 x 6 = ________ 4 x 60 = __________

2010 _____2100 7 x 6 _____ 8 x 5 8 x 2 = ________ 80 x 2 = __________

Find the difference and check using addition. Write two multiplication facts related to:

504 – 176 = ________ 8 = 24 ÷ 3

3. solve check (verify) 4.

---------------------------------------
Write the following in standard form:
90,000 + 7,000 + 200 + 8

____________________

Week 1 Day 4 Do you remember from 3rd grade?

1. On Monday 841 books were checked out from the media 2.

center. 579 books were checked out on Tuesday. How 250 is how many times less than 2500?
many books were checked out from the media center
over the two days? A. 1 B. 10 C. 100 D. 1000

350 is how many times greater than 7?

A. 5 B. 10 C. 50 D. 100

__________ books were checked out over the two days. See #1 for more information.

3. Write 3,737 in expanded form. 4. By the end of the week, students had checked

__________________________________________ out 2907 books. How many total books were
What number is 1000 more than 3,737? _________
checked out on Wednesday, Thursday and

Friday?

What number is 1000 less than 3,737? __________ A total of __________ books were checked out
over Wednesday, Thursday, and Friday.
Circle the numbers below that round to 400.
382 423 349 409 451

Write another number that could round to 400.
________________

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 2 Day 1 Name __________________________________

1. Is the number 247 an even number or odd number? 2. Compare 3/3 and 1 by drawing models to prove

Explain how you know. your thinking.

So, 3/3 is _____ 1.

3. 2528 + 4387 = _________ 4. Draw a model of 15 ÷ 3. Draw a model of 15 ÷ 5.

solve check (verify) your answer

Write a word problem for 15 ÷ 3.

Week 2 Day 2 Use two different strategies to find
the product of 3 and 9.
Write in expanded form: 6656
strategy 1 strategy 2
1. 2.

_____________________________________

Write in standard form:
seven thousand, six hundred thirty-nine

_______________________________________

Write in standard form: So, 3 x 9 = __________
3000 + 900 + 4

___________________________________

3. Mr. Asztalos’ class has collected 1273 pennies for 4. Label the following numbers on the number line.
3/4 0 2/4 1 1/4
the Penny War. Ms. Jenkins’ class has collected

359 more pennies than Mr. Asztalos’ class. How

many pennies has Ms. Jenkins’ class collected?

Compare the fractions using >, <, =.
3/4 _____0 1 _____ 3/4 2/4 _____ 3/4

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 2 Day 3 Name _________________________________
2.
1.
From 3rd grade. Think, “equal groups of”.
Compare using <, >, or =.

671 ______617 3 x 4 ______6 x 2 2 x 8 = ________ 20 x 8 = __________

7177 ______ 7717 24,052 _____ 24,502 3 x 5 = ________ 3 x 50 = __________
3208 _____3280 3 x 9 _____ 4 x 8 9 x 3 = ________ 90 x 3 = __________
4 x 1 = ________ 4 x 100 = _________

(7 + 2) + 5 ______ 7 + (2 + 5)

3. Find the difference and check using addition. 4. Write two multiplication facts related to:
5 = 35 ÷ 7
607 – 239 = ________

solve check (verify)

------------------------------------------
Write the following in standard form:

5 ten thousands, 8 thousands, 7 hundred, 38 ones

____________________

Yes, Ms. King really meant 38 ones.
What do you need to do?

Week 2 Day 4 80 is how many times less than 8000?

1. The theater sold 9527 tickets this week. Last week 2. A. 1 B. 10 C. 100 D. 1000

they sold 2049 more than this week. How many tickets

were sold last week?

420 is how many times greater than 6?

A. 7 B. 17 C. 70 D. 700

3. Write 50,246 in expanded form. 4. Solve for x. Use what you know about addition

________________________________________ and subtraction to find the value of x.
x + 4083 = 7145

x = _______

What number is 1000 more than 50,246? _________ Using the numbers above, create a part, part, whole
What number is 1000 less than 50,246? __________ model for the equation.

Circle the numbers below that round to 500.
460 542 483 438 527 551 450

Write another number that rounds to 500.

________________

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 3 Day 1 Name __________________________________

1. Is the number 51 a multiple of three? Explain how 2. Compare 4/4 and 1/4 by drawing models to prove

you know. your thinking.

So, 4/4 is _____ 1/4.

3. 7343 + 896 = _________ 4. Draw a model of 18 ÷ 6. Draw a model of 18 ÷ 3.

solve verify (check) using

addition. (yes, addition)

Write a word problem for 18 ÷ 6.

Week 3 Day 2 Use two different strategies to find
the product of 6 and 8.
Write in expanded form: 4901
2. strategy 1 strategy 2
1.

____________________________________

Write in standard form:
eight thousand, five hundred sixteen

_______________________________________

Write in standard form:
70 + 8 + 3000 + 400

___________________________________ So, 6 x 8 = ______

Ms. Reimer’s class decided to sort their pennies 4. Label the following numbers on the number line.

3. by decades. They recorded the data below. 2/5 0 1/5 4/5 3/5 1

Create a new table that lists the decades in
order of greatest to least number of pennies.

# of decade # of pennies
pennies
decade Compare the fractions using >, <, =.
2389
1960s 2841 1 _____3/5 0 _____ 4/5 5/5 _____ 1
1970s 2485
1980s 5178
1990s 7517
2000s 5710
2010s

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 3 Day 3 Name _________________________________
1. 2.

Compare using <, >, or =. From 3rd grade. Think, “equal groups of”.

828 ______882 5 x 9 ______6 x 8 5 x 8 = ________ 50 x 8 = __________

5535 ______ 5355 23,016 _____ 22,160 6 x 5 = ________ 6 x 50 = __________

1406 _____1460 24 ÷ 4 _____ 3 x 2 7 x 4 = ________ 70 x 4 = __________
8 x 1 = ________ 8 x 100 = _________
12 x 8 ______ (10 x 8) + (2 x 8)

Write two multiplication facts related to:

3. Find the difference and check. 4. 9 = 54 ÷ 6

913 – 329 = ________

solve check (verify)

-----------------------------------------------

What is the VALUE of each underlined digit?

42,387 _________________________________

394,291 ________________________________
403,566 ________________________________
3,127,739 _______________________________

Week 3 Day 4 Study the number 4,444. How many times

1. See Tuesday #3 for needed information. greater is the 4 in the hundreds place than the

So far, Ms. Reimer’s class has collected 26,120 pennies. 2. 4 in the ones place?
While sorting, they found another 289 pennies that were
minted before 1960. Now what is the total number of A. 1 B. 10 C. 100 D. 1000
pennies the students collected?

2700 is how many times greater than 90?

A. 3 B. 13 C. 30 D. 300

4. See Thursday #1 for needed information.

Ms. Reimer’s students set a goal of collecting
30,000 pennies by September 15th. How many

more pennies do they need to reach their goal?

3. Round 54,321 to the nearest:

ten _____________________________

hundred _________________________

thousand ________________________

ten thousand _____________________
What pattern do you notice?

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 4 Day 1 Name __________________________________
2. What is 387 less than 700?
1. Is the number 52 a multiple of four?

Explain how you know.

Find the sum of 10,238 and 6094. Draw a model of 21 ÷ 3. Draw a model of 21 ÷ 7.

3. Show work here. Check your answer using 4.
a strategy you have learned.

Write a word problem for 21 ÷ 7.

Week 4 Day 2 Show two strategies (ways) to find the product of 20 and 7.

Write in expanded form: 5716 strategy 1 strategy 2

1. 2.

____________________________________

Write in standard form:
sixteen thousand, four hundred five

_______________________________________

Write in standard form:
200 + 7 + 3000 + 50 + 20,000

___________________________________ So, 20 x 7 = ______

3. Miguel and Anna put all their pennies together to 4. Create a number line to show how you would
use it to round 6,789 to the nearest hundred.
buy a birthday present for their dad. Miguel had
848 pennies. Together they had a total of 1554
pennies. How many pennies did Anna have?

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 4 Day 3 Name _________________________________
1. 2.

Compare using <, >, or =. Write a multiplication equation to represent:

983 ______938 36 is 12 times as many as 3.

12 x 7 ______10 x 9

6467 ______ 6764 28,240 _____ 27,900

2101 _____2011 72 ÷ 9 _____ 4 x 2

9 x 13 ______ (9 x 1) + (9 x 3)

3. Find the difference and check using addition. 4. Write two division facts related to:
8 x 7 = 56
10,459 – 8364 = ________

solve check ------------------------------------------------------

What is the VALUE of each underlined digit?

42,387 _________________________________

394,291 ________________________________

403,566 ________________________________

3,127,749 _______________________________

Week 4 Day 4 Study the number 4444. How many times less

1. Leila has three times as many trading cards as Kayla. If is the 4 in the tens place than the 4 in the

Leila has 84 cards, how many cards does Kayla have? 2. thousands place?
Use the model below to find the answer. How else could
you find the answer? A. 1 B. 10 C. 100 D. 1000

Leila = 84 64 is how many times greater than 8?

Kayla = ? A. 1/8 B. 4 C. 8 D. 80

4. How can you use what you know about

multiplication facts to find the quotient for:
91 ÷ 7?

3. Round 47,699 to the nearest:

ten ___________________________
hundred ________________________
thousand _______________________
ten thousand _____________________

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others. ©Debbie King

Week 5 Day 1 Name __________________________________
2. What is 9871 more than 7819?
1. Is the number 46 a multiple of six?

Explain how you know.

Use the standard algorithm to find the Draw a model of 12 ÷ 6. Draw a model of 12 ÷ 2.

difference between 49,157 and 36,748.

3. Show work here. Check your answer using 4.

a strategy you have learned.

Write a word problem for 12 ÷ 2.

Week 5 Day 2 Show two strategies to find the quotient for 96 ÷ 4.

Write in expanded form: 13,408 strategy 1 strategy 2

1. 2.

____________________________________

Write in standard form:
twenty-two thousand, seven hundred sixty-three

_______________________________________

Write in standard form: So, 96 ÷ 4= ______
500 + 60 + 20,000 + 8 + 9,000

___________________________________

3. Sara is training for the Peachtree Road Race. If 4. Create a number line to show how you could
use it to round 756 to the nearest ten.
she ran 23 miles on Monday, 21 miles on each of
the next two days, 22 miles on Thursday, and 29
miles on Friday, ABOUT how many miles did she
run in five days?

a. 90 b. 100 c. 110 d. 120

Week 5 Day 3 Name ____________________________
1. 2.

Compare using <, >, or =. Write a multiplication equation to represent:
16 is 8 times as many as 2.
371 ______317
12x6 ______10x8

__________________

5283 ______ 5382 17,530 _____ 17,503 Write a division equation for:
3232 _____3223 121÷11 _____ 5x2 72 shared equally among 9.

___________________

7 x 24 ______ (20 x 7) + (4 x 7)

Use the standard algorithm to find the sum Write two multiplication facts related to:

3. and then check your work. 4. 63 ÷ 9 = 7

8,368 + 12,077 = ________ What is the VALUE of each underlined digit?
50,891 ________________________________
sum check

830,194 _______________________________

372,185 ________________________________

8,297,015 _______________________________

Week 5 Day 4 Study the number 43,471. How many times
greater is the four in the ten thousands place
1. Ms. Martinez’s students are determined to donate more
2. as compared to the four in the hundreds place?
pennies to the food bank than any other 4th grade class.
Their goal is to have 8000 pennies by the end of Think: As a digit moves from the hundreds
September. They have been keeping track of the place to the ten thousands place, it increases
number of pennies they have donated so far. They know in value ____________ times.
they need 2683 more pennies to reach their goal. How
many pennies has Ms. Martinez’s class donated so far? How many times less is 90 than 900?

A. 1/10 B. 1 C. 10 D. 100

4. How can you use what you know about

multiplication to find the quotient of:
77 ÷ 8?

3. Round 39,754 to the nearest:

ten ___________________

hundred _______________

thousand ______________

ten thousand ____________

Week 6 Day 1 Name __________________________________
2. What is 4372 less than 9050?
1. Is the number 78 a multiple of three?

Explain how you know.

Use the standard algorithm to find the sum of Use the grid below to find the product of
72 and 45.
27,463 and 9,555.
40 5
3. Show work here. Check your answer using 4.

the opposite operation.

70

2

The product of 72 and 45 = _________

Week 6 Day 2 2. Show two strategies to find the quotient for 57 ÷ 5.

Solve using mental math. strategy 1 strategy 2

1.

20 x 10 = _________ 20 x 100 = _________

80 x 10 = _________ 80 x 100 = _________

50 x 10 =_________ 50 x 100 = _________

What do you notice?

So, 57 ÷ 5 = ______

3. 4. Create a number line to show how you would
use it to round 8742 to the nearest thousand.
Sara is still training for the Peachtree Road Race.
She ran 18 miles on Monday, half of Monday’s
amount on Tuesday, 20 miles on Thursday and 25
miles on Friday. If she ran a total of 91 miles
over the five weekdays, how many miles did
she run on Wednesday?

a. 10 b. 13 c. 19 d. 21

Week 6 Day 3 Name ____________________________
1. 2.

Compare using <, >, or =. Write a multiplication equation to represent:
9 times as many as 6 is 54.
17,382 ______17,328
8 x 6 ______4 x 12
__________________

405,060 ______ 460,500 72 ÷ 6 _____ 3 x 4 Write a division equation for:
70 shared equally among 10.
95 hundreds____ 9500 50 tens _____ 50
___________________

34 x 8 ______ (3 x 8) + (4 x 8)

3. Use the standard algorithm to find the difference 4. Write two multiplication facts related to:
between 27,463 and 9555 then check your work. 51 ÷ 3 = 17

difference check

What is the PLACE NAME for each digit?

50,891 ________________________________

835,194 ________________________________

372,589 ________________________________

5,297,018 _______________________________

Week 6 Day 4 Study the number 50,452. How many times
less is the five in the tens place as compared to
1. The Tasty Bakery can display 25 cupcakes per tray. If
2. the five in the ten thousands place? _______
the bakery bakes 242 cupcakes, which is the best
estimate for the number of trays needed to display all Think: As a digit moves from the ten thousands place to
of the cupcakes? the tens place, the value of the digit…?

a. 8 b. 9 c. 10 d. 11 How many times greater is 16 than 4?

A. 2 B. 4 C. 8 D. 64

4. How can you use what you know about
multiplication to find the answer to: 92 ÷ 9?
Think: How could thinking about quarters and dollars help you
figure out the answer?

3. Round 4,705,399 to the nearest:

million ___________________
hundred thousand _______________
ten thousand ______________
thousand ____________

Weekly Homework Name __________________________________
Week 7 Day 1
2. Study the number 361,342. How many times less
1. Is the number 330 a multiple of ten?
is the three in the hundreds place as compared to
Explain how you know. the three in the hundred thousands place?

Think: As a digit moves from the hundred thousands
place to the hundreds place, the value of the digit…

Use the standard algorithm to find the sum of Use the grid below to find the product of
4386 and 7457. 54 and 73.

3. 4. 50 4

Show work here. Check your answer using

the opposite operation. 70

3

The product of 54 and 73 = _________

Week 7 Day 2 Show two strategies to find the quotient for 84 ÷ 7.
Solve using mental math.
2. strategy 1 strategy 2
1. 18 x 10 = _________ 18 x 100 = _________

13 x 10 = _________ 13 x 100 = _________

24 x 10 = _________ 24 x 100 = _________
What do you notice?

3. Jessica has 9 stamps. Kenji has 3 times as many So, 84 ÷ 7 = ______
stamps as Jessica. How many fewer stamps does
Create a number line to show how you would
Jessica have than Kenji? (This might be a great time to 4. use it to round 5463 to the nearest hundred.

draw a diagram to find the solution. I’ll even get you started.)

Weekly Homework 2. Name ____________________________
Week 7 Day 3 Write a multiplication equation for:
4 times as many as 7 is 28
1. Write three million, sixteen thousand, four hundred
__________________
seventy-two in standard form: __________________

Write 31,692 in expanded form.

Compare each using >, <, or =. Write a division equation for:
a. 24 ÷ 6 ____ 32 ÷ 8 48 shared equally among 8 is 6

b. 32,805 ____ 32,850 ___________________

c. 14 x 3 ____ 13 x 4 Write two multiplication equations related to:

Use the standard algorithm to find the difference 4. 96 ÷ 16 = 6

3. between 8,519 and 4,932 then check your work. ------------------------------------------------------------

difference check Round each number to the underlined place.

46,313 __________________________

517,001 __________________________

1,214,508 ___________________________

Week 7 Day 4 2. How many times greater is
7000 than 70?
1. For the Fall Festival, Rosa donated 15 cases of water.

Each case has 36 bottles. How many bottles of water
did Rosa donate?

Think about: 7,275.
How many times do you move to the left when moving

from the tens place to the thousands place?

4. How can you use what you know about

multiplication to find the answer to: 172 ÷ 8?

Use two different strategies to

find the product of 34 and 55.

3. strategy 1 strategy 2

Weekly Homework Name __________________________________
Week 8 Day 1
2. Study the number 4,602,792.
1. Is the number 143 a multiple of three?
How many times more is the two in the thousands place as
Explain how you know. compared to the two in the ones place? ________ times

Think: As a digit moves from the ones place to the thousands
place, the value of the digit increases by ___________.

As a digit moves from the thousands place to the ones place,
the value of the digit decreases by _______________.

Use the standard algorithm to find the sum of Use the grid below to find the product of
345 and 21.
63,831 and 24,592.

3. 4.

Show work here. Check your answer using 300 40 5

the opposite operation.

20

1

The product of 345 and 21 = _________

Week 8 Day 2 Use two strategies to find the quotient of 135 ÷ 4.

Mental math – using patterns How could knowing 4 x 10, 4 x 20 and 4 x 30 help you

1. 27 x 10 = _________ 27 x 100 = _________ 2. strategy 1 find the quotient?

strategy 2

23 x 10 = _________ 23 x 100 = _________

25 x 10 = _________ 25 x 100 = _________

What do you notice?

3. 5 baseball hats cost as much as 3 t-shirts. Each So, 135 ÷ 4 = ______
hat costs $9. What is the cost of each t-shirt?
4. Create a number line to show how you would
(This might be a great time to draw a diagram to find the
use it to round 6715 to the nearest thousand.
solution. I’ll even get you started.)

When rounding the above number to the nearest thousand, it
can only be 6000 or 7000. So, 6715 rounded to the nearest
thousand is ___________ because ___________________

______________________________________________

Weekly Homework Name ____________________________
Week 8 Day 3
2.
1. Write seventy-two million, six hundred forty-three
Write a multiplication equation for:
thousand, nine in standard form: 63 is 9 times more than 7.

___________________________ __________________

Write 47,005 in expanded form. Write a division equation for:
9 is 54 shared equally among 6.
Compare each using >, <, or =.
a. 435 ____ (4 x 100) + (3 x 10) + (5 x 1) ___________________

b. 15 x 4 ____ 16 x 3 Write two multiplication equations related to:

Use the standard algorithm to find the difference 4. 90 ÷ 18 = 5

3. between 36,721 and 15,389 then check your work. -----------------------------------------------------------

difference check Round each number to the underlined place.

52,813 _______________________________

215,517 ________________________________

301,156 ________________________________

Week 8 Day 4 Uncle Henry bought some pencils at the store. The
pencils were shared equally among his 4 nieces.
1. 4787 + 4877 + 487 + 4878 = _________
2.
When James added the above amounts, he got 19,412.
What mistake did James most likely make when adding? Use  to stand for the total number of pencils Uncle
Henry bought. Which expression could be used to
find out how many pencils each niece received?

a. 4 -  b. 4 ÷ 

c.  x 4 d.  ÷ 4

What is the correct sum? ____________________ How can you use what you know about multiplication to find
the quotient for: 546 ÷ 6? Study the model below.
Use two different strategies to
find the product of 76 and 54. 4.

90 + 1

6 540 6 546

3. strategy 1 strategy 2

So 546 ÷ 6 = ________
Now, you try. Draw a model and use what you know
about multiplication to find the quotient for 728 ÷ 8.

So, 728 ÷ 8 = ___________

Weekly Homework Name _______________________________
Week 9 Day 1
Study the number 939,592. How many times less is the
1. Is the number 632 a multiple of four?
2. nine in the thousands place as compared to the nine in
Explain how you know. the hundred thousands place? __________ times.

Think: As a digit moves from the hundred thousands
place to the thousands place, the value of the digit
decreases by ________________.

As a digit moves from thousands place to the hundred
thousand place, the value of the digit increases by
_________________.

Use the standard algorithm to find the difference Use the grid below to find the product of
706 and 58.
between 36,183 and 29,295.

3. Check your answer using 4. 700 0 6

Show work here.

the opposite operation.

50

8

The product of 706 and 58 = _________

Week 9 Day 2 2. Show two ways to find the quotient for 256 ÷ 6.
How could knowing 6 x 10, 6 x 20, 6 x 30, 6 x 40
Mental math – using patterns.
help you find the quotient?
1.
strategy 1 strategy 2
331 x 10 = ________ 331 x 100 = _________

453 x 10 = ________ 453 x 100 = _________

276 x 10 = ________ 276 x 100 = _________
What do you notice?

3. So, 256 ÷ 6 = _________

Find the sum. 6035 5063 6530 5603 4. Create a number line to show how you would

Jacie got 22,231 as her sum. use it to round 9872 to the nearest ten.
What mistake did she most likely make?

What is the correct sum? ________________ When rounding the above number to the nearest ten the
answer can only be ________ or ________. So, 9872
rounded to the nearest ten is __________ because ______

______________________________________________

Weekly Homework Name ____________________________
Week 9 Day 3
2. A high school football stadium holds 4329 fans. On
1. Write 29,501 in expanded form.
Thursday only 972 tickets were still available for Friday
Compare each using >, <, or =. night’s game. How many tickets had been sold by
a. 381 ____ (3 x 1) + (8 x 1) + (1 x 1) Thursday? ____________
b. 903,472 ____ 903,274 Use the diagram below to show your thinking.
c. 18 x 5 ____ 22 x 4
d. 3/4 _____ 1/2 football stadium holds 4329 fans

3. Use the standard algorithm to find How many sold? 972 still
available
the sum of 36,183 and 29,295.
sum check 4. Ms. Chamberlin made some cookies. If she shared

the cookies equally among six friends, which
expression could be used to show how many cookies
each friend received?

 = the total number of cookies she made.

a. 6 +  b. 6 ÷ 

c.  x 6 d.  ÷ 6

Week 9 Day 4 8 9 10 List the factors for each number below.

1. Circle the composite numbers. 2. 28:

1 23 4 5 6 7 42:

11 12 13 14 15 16 17 18 19 20 19:

21 22 23 24 25 26 27 28 29 30 How can you use what you know about multiplication to find the
quotient for: 546 ÷ 6? Study the model below.
What patterns do you notice?
4.
Use two different strategies to
find the product of 472 and 33. So 546 ÷ 6 = ________
Now, you try. Draw a model can use what you know
3. strategy 1 strategy 2 about multiplication to find the quotient for 364 ÷ 8.

So, 364 ÷ 8 = ___________

Weekly Homework Name _______________________________
Week 10 Day 1
Study the number 939,592. How many times less is the
1. Is the number 632 a multiple of four?
2. nine in the thousands place as compared to the nine in
Explain how you know. the hundred thousands place?

__________ times.

Think: As a digit moves from the hundred thousands
place to the thousands place, the value of the digit
decreases by ________________.

As a digit moves from thousands place to the hundred
thousand place, the value of the digit increases by
_________________.

Use the standard algorithm to find the difference Use the grid below to find the product of
7346 and 8.
between 36,183 and 29,295.

3. Check your answer using 4. 7000 300 40 6

Show work here.

the opposite operation.

8

The product of 7346 and 8 = _________

Week 10 Day 2 2. Show two ways to find the quotient for 256 ÷ 6.
How could knowing 6 x 10, 6 x 20, 6 x 30, 6 x 40
Mental math – using patterns.
help you find the quotient?
1.
strategy 1 strategy 2
331 x 10 = ________ 331 x 100 = _________

453 x 10 = ________ 453 x 100 = _________

276 x 10 = ________ 276 x 100 = _________

What do you notice?

3. Find the sum. 6035 5063 6530 5603 So, 256 ÷ 6 = _________

Jacie got 22,231 as her sum. 4. Create a number line to show how you would

What mistake did she most likely make? use it to round 9872 to the nearest ten.

The correct sum = __________________ When rounding the above number to the nearest ten the
answer can only be ______ or ______. So, 9872 rounded to
the nearest ten is _________ because _______________

______________________________________________

Weekly Homework Name ____________________________
Week 10 Day 3
2. A high school football stadium holds 4329 fans. On
1. Write 29,501 in expanded form.
Thursday only 972 tickets were still available for Friday
Compare each using >, <, or =. night’s game. How many tickets had been sold by
a. 381 ____ (3 x 1) + (8 x 1) + (1 x 1) Thursday? ____________
b. 903,472 ____ 903,274 Use the diagram below to show your thinking.
c. 18 x 5 ____ 22 x 4
d. 3/4 _____ 1/2 football stadium holds 4329 fans

3. Use the standard algorithm to find How many sold? 972 still
available
the sum of 36,183 and 29,295.
sum check 4. Ms. Noell made some cookies. If she shared the

cookies equally among six friends, which expression
could be used to show how many cookies each friend

received?  stands for the total number of cookies

she made.

a. 6 +  b. 6 ÷ 

c.  x 6 d.  ÷ 6

Week 10 Day 4 List the factors for each number below.

1. Circle the composite numbers. 2. 28:

1 2 3 4 5 6 7 8 9 10 42:
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 19:
What patterns do you notice?
How can you use what you know about multiplication to find the
Use two different strategies to find the product of quotient for: 546 ÷ 6? Study the model below.
472 and 33.
4.
3. strategy 1 strategy 2
So 546 ÷ 6 = ________
Now, you try. Draw a model can use what you know
about multiplication to find the quotient for 364 ÷ 8.

So, 364 ÷ 8 = ___________

Weekly Homework Name _________________________________
Week 11 Day 1
Study the number 785,365. How many times
1. Is the number 526 a multiple of six?
2. more is the five in the thousands place as
Explain how you know.
compared to the five in the ones place?

Think: As a digit moves from the ones place to
the thousands place, the value of the digit
increases by ________________.

Use the standard algorithm to find the difference Use the grid below to find the product of
389 and 7.
between 29,093 and 18,327.

3. Show work here. Check your answer using 4.

the opposite operation. 300 80 9

7

The product of 389 and 7 = _________

Week 11 Day 2 Show two strategies to find the quotient for 189 ÷ 7.
Solve using mental math. How does knowing 7 x 10 or 7 x 20 help you find the quotient?

1. 456 x 10 = _______ 456 x 100 = ________ 2. strategy 1 strategy 2

354 x 10 = _______ 354 x 100 = ________

726 x 10 = _______ 726 x 100 = ________

What do you notice?

Estimate first by rounding to the nearest thousand, So, 189 ÷ 7 = _________

3. then find the exact sum for 38,983 and 5942. 4. Create a number line to show how you would

estimated sum exact sum use it to round 14,603 to the nearest thousand.

When rounding the above number to the nearest thousand
the answer can only be ___________ or ___________.
So, 14,603 rounded to the nearest thousand is ___________
because________________________________________
_____________________________________________

Weekly Homework Name _________________________________
Week 11 Day 3
2. Brian’s grandmother made 350 cookies for the bake sale.
1. Write fourteen thousand, nine hundred nine
Each scout is responsible for selling the same amount of
in standard form. cookies. If there are 50 scouts, how many cookies will
each girl need to sell? Draw a model to show your thinking.
Compare each using >, <, or =.
a. 276 ____ (2x 100) + (87x 0) + (6 x 1) 4. Olivia buys a box of 8 markers. She already has
b. 38,383 ____ 38,338
c. 19 x 6 ____ 17 x 7 some markers. Which expression shows how many
d. 2/3 ____ 23 markers she now has?

Use the standard algorithm to find the sum of

3. 29,093 and 18,327.

sum check

a. 8 + △ b. 8 x △

c. 8 - △ d. 8 ÷ △

Week 11 Day 4 At the regional cheerleading competition last
weekend, the concession stand sold 1751 sodas on
1. Compare the fractions using the model below.
2. Saturday and 2015 sodas on Sunday.
2/3 _______ 3/4
About how many fewer sodas were sold
on Saturday than Sunday?

a. 200 b. 264 c. 300 d. 364

How can you use what you know about multiplication to find
the quotient for: 546 ÷ 6? Study the model below.

Thomas wants to buy 5 packs of baseball cards. Each 4.
pack costs $1.79. He only has $9. What is the quickest
way for Thomas to figure out if he has enough money to So 546 ÷ 6 = ________
Now, you try. Draw a model to use what you know
3. buy all five packs? about multiplication to find the quotient for 273 ÷ 5.

a. round $1.79 and add five

b. round $1.79 and add it five times

c. round $1.79 and multiply by five

d. round $1.79 and subtract it from nine So, 273 ÷ 5 = ___________

Weekly Homework Name ____________________________________
Week 12 Day 1
Use the standard algorithm to find
1. Is the number 218 a multiple 2of. three?
2. the difference between 34,567 and 26,543.
Explain how you know.

What are the next two multiples of three?

__________ ___________

. Mental math – using patterns 4. 4. Study the number 7,074,375. How many times less
3.
is the seven in the tens place as compared to the

567 x 10 = _______ 567 x 100 = __________ seven in the ten thousands place?
_____________ times

289 x 10 = _______ 289 x 100 = __________ Think: As a digit moves from the ten thousands
803 x 10 = _______ 803 x 100 = __________ place to the tens place, the value of the digit
_________________ by _______________.

What do you notice? 2. Estimate by rounding to nearest ten thousand.
Then, find the exact difference.
Week 12 Day 2
Estimate first by rounding to the nearest ten thousand; 375,678 and 79,235
then find exact sum.

1. 375,678 and 79,235

estimated sum: exact sum: estimated difference: exact difference:

Compare each using >, <, or =. 4. Use the grid to multiply: 58 x 33
a. 472 _____ (4x 100) + (7 x 10) + (2 x 1)
The product of 58 and 33 = _______________
3. b. 47,474____ 47, 447 4.

c. 15 x 5 ____ 14 x 6

d. 1/4 _____ 14

Compare the fractions using the model below.

4/5 _______ 3/4

Weekly Homework Name ____________________________________
Week 12 Day 3
Juan read three times as many pages as Charlie on
Brian’s grandmother made 272 cookies for the USO’s bake
2. Tuesday. Juan read 180 pages. How many pages did
1. sale. If she puts 8 cookies in each bag, how many bags will
Charlie read? Draw a bar to represent Charlie’s
she need for all the cookies? _______ pages and solve.

Juan

8 272 180
pages

How does knowing and using 8x30 help you find the answer Charlie
to the above problem?

3. The estimated current population of Georgia is 4. Circle the composite numbers.
31 32 33 34 35 36 37 38
9,919,945. Round this number to the nearest:
thousand ______________________________ 39 40 41 42 43 44 45
ten thousand __________________________ 46 47 48 49 50 51 52 53
hundred thousand ______________________
million________________________________ What patterns do you notice
about composite numbers?

List the factors for 12 and 15. 12 ________________________ 15____________________________
What factors are common (found in both) to 12 and 15?_______________

Week 12 Day 4 The number of car washes at Ace Car Wash when

When Oscar multiplied 26 and 32 he got 58 as the 2. rounded to the nearest hundred was 1,400. What
could be the actual (exact) number of car washes?
1. product. What mistake did Oscar most likely make?

Use the grid model below to find the correct product.

a. 1,472 car washes b. 1,349 car washes

c. 1,389 car washes d. 1,451 car washes

The product of 26 and 32 = _______________ 4. Label 1/2 and 3/4 on the number line.

3. Wyatt studied the pattern: 6, 12, 18, 24, 30, 36 01

and created a table to show the rule for the pattern. What does the 4 in 3/4 tell you?
Complete his table and state the rule.
What does the 3 in 3/4 tell you?
input (x) output (y) The rule is:
1 6 Compare ½ and ¾ using >, < or =.
2 12
3 18 ½ ______ ¾

Weekly Homework Name ____________________________________
Week 13 Day 1
Find the difference between 56,732 and 23,765
1. Is 189 a multiple of 3? __2_.__
2. using the standard algorithm.
Explain how you know.

In the model below ¾ is shaded. 4. Compare 3/4 and 3/8 by using the models below.
¾ is equal to the sum of ¼ + ¼ + ¼.
Three-fourths means “three one-fourths”.

3. 1/4 1/4 1/4 1/4 4.

Create a model and write a number sentence for 2/6.

Two-sixths means __________________________. 3/4 ____ 3/8 because ____________________
_____________________________________
Week 13 Day 2 __
At the regional band competition last weekend, the concession
Use the area model to divide 225 ÷ 5.
1. stand sold 1,781 sodas on Saturday and 2,015 sodas on Sunday.
2. 10 10 10 10 5
Which of the following is the best estimate of the number of
sodas sold on Saturday and Sunday? 5 50 50 50 50 25

a. 3000 b. 3800 c. 4800 d. 5000

Compare each using >, <, or =.
___a_.___9_0_8_______(_9_x_1_0_0_) _+_(_8_x_1. )

b. 4/8 ____ 1/2

c. 12 x 5 ____ 13 x 4 So, 225 ÷ 5 = _______

3. d. 2/5 _____ 5/2 4. 4. Use a strategy (not the standard algorithm)
to multiply: 42 and 34

Use the models below to create
an equivalent fraction for 3/4.

3/4 = ________ The product of 42 and 34 = _______________

Weekly Homework Name ____________________________________
Week 13 Day 3
Charlie wanted to make an input/output table
9 softballs are packaged in each box. How many boxes will
2. that shows the rule: s = m x 3 + 1. Complete
1. it take to package 216 softballs? _______2_.__ Use an
Charlie’s table using the rule.
area model (see # 2 from Tuesday) to find the solution.
ms
9 0
1
2
3
4

3. 4.

The estimated current population of Lawrenceville is Circle the prime numbers.
29,868. Round this number to the nearest:
31 32 33 34 35 36 37 38
hundred ______________________________
39 40 41 42 43 44 45
thousand __________________________
46 47 48 49 50 51 52 53
ten thousand ______________________

List the factors for 12 and 18. 12 ________________________ 18____________________________
What factors do the numbers have in common (found in both)?_____________________________

Week 13 Day 4 Elisha used 2/5 cup of flour, 2/4 cup of sugar and
2/3 cup of butter for a recipe. Which ingredient
Find the product of 9 and 24. Use the grid to show
2. did she use the most? Use the bar models to
1. one way to find the product.
show which ingredient was used the most.

The product of 9 and 24 = _____________. She used _________________ the most. 1

3. Aden buys a bamboo plant for $14.39, a peace 4. Label 1/3 and 5/6 on the number line.
lily for $8.95 and two rose bushes for $9.25 each.
Using friendly numbers, about how much money did 0
he spend?
What does the 5 in 5/6 tell you?
a. $31 What does the 6 in 5/6 tell you?
b. $35 1/3 is ______ than 5/6. (use >, < or =)
c. $40
d. $45

If Aden paid with an hundred dollar bill, about
how much change will he receive?

Weekly Homework Name ____________________________________
Week 14 Day 1
Find the difference between 83,338 and 29,992
1. A fractiotnherenpurmeesreanttosraadnidvitshioendpernoobmleinma.t2oTr.hme eliannesbetween using the standard algorithm.

“out of” or “divided by” or “shared equally among”. 2.
¾ means 3 out of 4 OR 3 ÷ 4.

So, 2/3 means ____ out of ____ or _____ ÷ ______

. In the model below ¾ is shaded. 4. Compare 2/3 and 2/5 by using the models below.
3.
¾ is equal to the sum of ¼ + ¼ + ¼.

Three-fourths means “three one-fourths”.

1/4 1/4 1/4 1/4 4.

Create a model and write a number sentence for 2/3.

Two-thirds means __________________________. 2/3 ____ 2/5 because ____________________
_____________________________________

Week 14 Day 2 2. Complete the area model to divide 168 ÷ 7.
10
The Empire State Building is 1,252 feet tall. A mile

1. measures 5,280 feet. About how much shorter is the

Empire State Building than a mile?

a. 2000 feet b. 4000 feet 7 70 70 14 14
c. 4028 feet d. 6000 feet

___________________________. So, 168 ÷ 7 = _________
Compare each using >, <, or =.
4. Use a strategy (not the standard algorithm)
3. to multiply: 44 and 29.

a. 108,854 _____ 108,845 4.

b. 5/5 ____ 1

c. 23 x 6 ____ 21 x 7

d. 4/3 _____ 3/4

Use the models below to create
an equivalent fraction for 2/3.

2/3 = ________ The product = _______________

Weekly Homework Name ____________________________________
Week 14 Day 3
2. Charlie wanted to make an input/output table that
8 baseballs are packaged in each carton. How many shows the rule: m = s ÷ 4 - 1.

1. cartons will it take to package 376 base2b. alls? Complete Charlie’s table using the rule.

Use the area model below to find the solution. ms
24
8 12
20
So, it will take ____________ cartons. 4
40

3. 4. Circle the composite numbers.
1 2 3 4 5 6 7 8 9 10
The estimated current population of Gwinnett 11 12 13 14 15 16 17 18 19 20
County is 842,046. Round this number to the 21 22 23 24 25 26 27 28 29 30
nearest:

hundred ______________________________
thousand __________________________
ten thousand ______________________
hundred thousand ________________________

List the factors for 9 and 36. 9 _____________________ 36__________________________________

What factors do the numbers have in common?_______________

Week 14 Day 4 Jaide used 3/5 cup of milk 3/4 cup of sugar and 1/2 cup of
butter for a recipe. Which ingredient did she use the
1. Find the product of 27 and 49. Use the grid to
2. most? Use the bar models to show which ingredient she
show one way to find the product.
used the least.

The product of 27 and 49 is _____________. She used _________________ the least.

3. Leisha has saved $36 from babysitting jobs. 4. Label 2/3 and 3/4 on the number line.
She wants an iPod that cost $99. How much more
money does she need to earn to buy the iPod? 01
Write an equation for this problem and then solve. What does the 2 in 2/3 represent?
Use x to represent the amount she still needs to What does the 3 in 2/3 represent?
earn. 2/3 ____3/4. (use >, <, or =)

Week 3 Day 1 Name __________________________________

1. Is the number 51 a multiple of three? Explain how 2. Compare 4/4 and 1/4 by drawing models to prove

you know. your thinking.

So, 4/4 is _____ 1/4.

3. 7343 + 896 = _________ 4. Draw a model of 18 ÷ 6. Draw a model of 18 ÷ 3.

solve verify (check) using

addition. (yes, addition)

Write a word problem for 18 ÷ 6.

Week 3 Day 2 Use two different strategies to find
the product of 6 and 8.
Write in expanded form: 4901
2. strategy 1 strategy 2
1.

____________________________________

Write in standard form:
eight thousand, five hundred sixteen

_______________________________________

Write in standard form:
70 + 8 + 3000 + 400

___________________________________

Ms. Reimer’s class decided to sort their pennies So, 6 x 8 = ______

3. by decades. They recorded the data below. 4. Label the following numbers on the number line.

Create a new table that lists the decades in 2/5 0 1/5 4/5 3/5 1

order of greatest to least number of pennies. Compare the fractions using >, <, =.

# of decade # of pennies 1 _____3/5 0 _____ 4/5 5/5 _____ 1
pennies
decade
2389
1960s 2841
1970s 2485
1980s 5178
1990s 7517
2000s 5710
2010s

Week 3 Day 3 Name _________________________________
1. 2.

Compare using <, >, or =. From 3rd grade. Think, “equal groups of”.

828 ______882 5 x 9 ______6 x 8 5 x 8 = ________ 50 x 8 = __________

5535 ______ 5355 23,016 _____ 22,160 6 x 5 = ________ 6 x 50 = __________

1406 _____1460 24 ÷ 4 _____ 3 x 2 7 x 4 = ________ 70 x 4 = __________
8 x 1 = ________ 8 x 100 = _________
12 x 8 ______ (10 x 8) + (2 x 8)

Write two multiplication facts related to:

3. Find the difference and check. 4. 9 = 54 ÷ 6

913 – 329 = ________

solve check (verify)

-----------------------------------------------

What is the VALUE of each underlined digit?

42,387 _________________________________

394,291 ________________________________
403,566 ________________________________
3,127,739 _______________________________

Week 3 Day 4 Study the number 4,444. How many times

1. See Tuesday #3 for needed information. greater is the 4 in the hundreds place than the

So far, Ms. Reimer’s class has collected 26,120 pennies. 2. 4 in the ones place?
While sorting, they found another 289 pennies that were
minted before 1960. Now what is the total number of A. 1 B. 10 C. 100 D. 1000
pennies the students collected?

2700 is how many times greater than 90?

A. 3 B. 13 C. 30 D. 300

4. See Thursday #1 for needed information.

Ms. Reimer’s students set a goal of collecting
30,000 pennies by September 15th. How many

more pennies do they need to reach their goal?

3.

Round 54,321 to the nearest:
ten _____________________________

hundred _________________________

thousand ________________________

ten thousand _____________________
What pattern do you notice?

Week 18 Day 1 Name ____________________________________

Ms. King is ordering Witzzle Pro t-shirts for the team. Is 48 ÷ 6 equivalent to 480 ÷ 60? ________

1. Each shirt will cost the school $4.862. . She needs to 2. Why or why not?
order 24 shirts. About how much will the school

spend for the shirts?

Is the exact cost of the t-shirts more than or less than your
estimated cost? ______________ Why? Be ready to explain.

3. 7⅜ + 2⅜ = ____ 9⅞ - 4⅜ = __4_._ Compare 2/3 and 6/9 by using the models below.
4.

2/3 ____ 6/9 because _____________________
_______________________________________

Draw a model of 9/4. Then, rename 9/4 as a mixed number.

Week 18 Day 2 567 oranges are packed in barrels for shipping to the
processing plant. Each barrel holds 33 oranges. How
Use information from Monday, #1 if needed. 2. many barrels are needed to ship all the oranges?

1. The t-shirt company decides to help Baggett by reducing Complete the diagram to find the answer.
the cost of the shirts. For each 6 shirts ordered, the printer 567
will credit the school three dollars. How much money is
this saving Baggett? 10 1

33 330 33

Now, the t-shirts will cost about _______________. _______barrels are needed to ship all the oranges
because __________________________________
Use the model below to solve: 6/6 – 3/6 = ________ __________________________________________
3. __________________________________________

4. Compare using >, < or =. 6/8 ______5/6

Prove it using the models below.

Use the model below to solve: 6/6 + 3/6 = ________

1/6 1/6 1/6 1/6 1/6 1/6

1/6 1/6 1/6 1/6 1/6 1/6

List all the prime numbers <47 but > 23. ____________________________________________________

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others.

Week 18 Day 3 Name ____________________________________
The gas tank in Mr. Payne’s car holds 20 gallons. He
Use two different strategies to find
1. hpuasrc5hagsaelslognassoffogr a$s2r.9em0 paienringgallionnt,hheo2twa. nkm.uIcfhhweill he 2. the product of 38 and 86.
pay to fill the tank?

Think, 10 gallons would cost _________.

5 gallons would cost _________.

So, 15 gallons would cost ___________.

Use what you DO know how to do to figure out
what you may NOT know how to do.

3. Write fractions greater than: 1/2, 3/4 and 5/8. Each fraction you create must have a different denominator than
the denominator given. Use the models below to show your thinking.

_____ > 1/2 _____ > 3/4 _____ > 5/8

______ > 1/2 ______ > 3/4 ______ > 5/8

Week 18 Day 4 59 x 27 = _______
1. Find the product of 37 and 63. 2. Find each product below. Then add the products

to check your answer above.

50 x 20 = _____ 50 x 7 = ______

9 x 20 = ______ 9 x 7 = _______

The product of 37 and 63 is _____________.

3. Complete the diagram to find the quotient for: 4. Label 1/2, 3/4 and 3/2 on the number line. 2
383 ÷ 12 = _______
10 ___ ___ __ 01

12 120 _____ _____ 12 Using >, <, or = compare:
3/4 ______3/2
How many equal groups of 12? _______ 3/2 ______1
How many are leftover? ______ 1/2 ______3/4
What is the leftover amount called? ______________

Draw a model of 4. Then rename it as an improper fraction. 4 = _______

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others.

Week 19 Day 1 Name ____________________________________

Ms. Martinez wants to cover her bulletin board 2. Equivalent or Not Equivalent?
1. with red and white paper. She cover2s. 1/4 of the
= or ≠
board with red paper and 2/4 with white paper.
How much of the bulletin board is covered with 360 x 90 _____ 36 x 900
paper?

36 ÷ 9 _____ 360 ÷ 9

3. 6 + 5 = ____ 6 - 5 = ____4. 4.

Compare 3/8 and 3/4 by completing the models below.

3/8 ____ 3/4 because _____________________

_______________________________________

Draw a model of 15/6. Then, rename 15/6 as a mixed number.

Week 19 Day 2 Complete the model below.

Use information from Monday, #1 if needed. 2. 402 posters are packed in tubes for shipping
to movie theaters. Each tube holds 25 posters.
1. How much of the bulletin board is NOT covered with paper? How many tubes are needed to ship all the
Prove your answer by drawing a model. posters? _________ tubes

402
10 1
25 250 25

3. Use the model below to solve: 10/8 – 7/8 r = ______
4. Use the model below to solve: 10/8 + 3/8

10/8 – 7/8 = _______ 10/8 + 3/8 = _____ or ______

List all the prime numbers >51 but < 73. ____________________________________________________

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others.

Week 19 Day 3 Name ____________________________________
2. Use the distributive property to find the product of 27 and 54.
Use the models below to show 20/6.
1.

3. Joshua spent 2/6 of an hour reading and 3/6 of an hour studying
for a science quiz. How long did Joshua spend on homework?

_____ + _____ = _____ of an hour

How many minutes did he spend on homework?
2/6 of hour = ____minutes and 3/6 of hour = ____ minutes.

So, he spent _____minutes on homework.

Week 19 Day 4 63 x 38 = _________
2.
Find the product of 746 and 9.
1. 2. Find each product below. Then add the products to check
your answer above.

60 x 30 = _____ 60 x 8 = ______

The product of 746 and 9 is _____________. 3 x 30 = ______ 3 x 8 = _______

Complete the model to find the quotient. 4. Label 7/2, 5/6 and 2 on the number line.
3. 158 ÷ 11 = _________
01 2 3 4
10 1
11

How many equal groups of 11? _______ Using >, <, or = compare:
How many are leftover? ______
What is the leftover amount called? ______________ 7/2 ____5/6 5/6 _____2 2 ______7/2

Draw a model of 2. Then rename it as an improper fraction. 2 = _____

Created by Debbie King, 2012 Do not save or share electronically or copy/print for others.

Weekly Homework Name ____________________________________
Week 22 Day 1
Diana used 8 color tiles. 3/8 of the tiles were blue.
Rachel is finally organizing her holiday photos taken 2. 2/8 were red. The rest of the tiles were green. What
1. while in Virginia. She has a very old cam2.era (maybe a
fraction of the tiles was green? Use the model below
new digital camera will be a Valentine’s gift) and used 9 to show your thinking.
rolls of film. Each roll of film produces 36 pictures. The
albums she wants to use hold 100 photos. How many
albums will she need to buy to organize all the photos?

3. 17+ 8 = ____ 17 - 8 = ____ 4. ___________ of the tiles were green.

(Did you write your answer as a fraction?)

4. Compare 6/8 and 3/4 by completing the models below.

6/8 ____ 3/4 because _____________________
_______________________________________

Draw a model of 9/5 _______.
Then, rename it as a mixed number.

Week 22 Day 1 84 students were placed into teams of 6.
How many teams were there?
Rachel inspired Morgan to organize her 317 summer
1. vacation photos in a photo album. She places 5 photos on 2.
84
the cover and 6 photos on each page inside the album.
Which expression could be used to determine how many 6
pages she will need?

a. 317 + 5 – 6 b. (317 – 5) x 6

c. (317 – 5) ÷ 6 d. (317 ÷ 5) ÷ 6 There were _________ teams.

3. Use the model below to solve:  +  = _______ 4. Create a model below to solve:  - 

 -  = _______

List all composite numbers > 0 but < 18. ________________________________________________________

Weekly Homework Name ____________________________________
Week 22 Day 3 2. Use any strategy you have learned to divide 648 by 4.

1. Draw a model to show four and two eighths.

Write four and two eighths

as an improper fraction. _____________

3. Think: 6 x 1/3 means: six one-thirds or 6 groups of 1/3. 4. Closer to 0, ½ or 1?

I can think about it as: 1/3 + 1/3 + 1/3 + 1/3 + 1/3 + 1/3.  = _____  = _____  = ______
The product is 6/3 or 2.

Your turn now. Be ready to defend your answer by “constructing a viable
2 x  means _________________________ argument.” Think…what math tool could you use to prove your
The product is __________ or _______.
thinking? (Standards for Mathematical Practice #3 and #4)

Week 22 Day 4 2.
Which expression is shown in the model below?
63 x 27 = _________
1. 2.
Using mental math, find each partial product. Then add
the partial products to find the product of 63 and 27.

60 x 20 = ________ 60 x 7 = ________

a. ⅕ + 10 b. 10 – ⅕ 3 x 20 = _________ 3 x 7 = _________

c. ⅕ x 10 d. 10 ÷ ⅕

Be ready to “construct a viable argument”. 4. Label 4/3, 3 and 1 on the number line.
3. (SMP #3)
0123 4
Shara is sorting 476 coats donated to the Red Cross. She
separates the coats into 7 different piles. If each pile has
an equal amount of coats, how many coats are in each
pile?

Using >, <, or = compare:

4/3 _____ 3 3_____1 1______ 4/3

Draw a model of 3
Then, rename it as an improper fraction.

Weekly Homework Name ____________________________________
Week 23 Day 1

1. Three classes have earned ice-cream 2c.elebrations! 2. Study the model. Then write an equivalent fraction
100% of the students in these three classes are in the for each fraction. Follow the example:
100 Club! Two classes have 26 students each. The
third class has 23 students. How many packages of 3/10 = 30/100
bowls will be needed to serve all students?
9/10 = ________ 50/100 = ________
(each package contains 8 bowls)

a. 6 b. 9 c. 10 d. 12 2/10 = ________ 90/100 = ________

How do you know the fraction pairs are
equivalent?

3. 7+ 4= ____ 7- 4= ____ 4. Compare 3/8 and 3/5 by completing the models below.

Draw a model of 2. 3/8 ____ 3/5 because _____________________
Then, rename it as an improper number. _______________________________________

Week 23 Day 2 Use an area model to find the solution.
Ms. Roberts bought a CD for $15.90 and a book for 2. 168 students were placed into teams of 10.

1. $7. She now has $8.92 in her purse. How much How many teams were there?
money did she have before making the purchase? 168

10

Use the model below to solve: 5/6 + 4/6 r = ________
3.
Create a model below to solve:

4. 5/6 - 4/6 = _____

The sum can be named as _____ or _____ The difference can be named as ____ or ____.

Why was one fraction bar used in this problem, but two
bars were used in problem #3? Be ready to explain.

List all prime numbers < 59 but > 29. ________________________________________________________

Weekly Homework Name ____________________________________
Week 23 Day 3
2. Suzanne spent 3 hours working on a quilt on Friday
1. Draw a model of three and three-fifths. and another 7 hours on Saturday. By Sunday evening
she had spent a total of 15 hours on the quilt. How
much time did she spend quilting on Sunday?

Three and three-fifths = _______. (improper fraction) 3. Closer to 0 or 1?

 = _____  = _____  = _____

Be ready to defend your answer by “constructing a viable
argument.” Think…what math tool could you use to prove your

thinking? (Standards for Mathematical Practice #3 and #4)

Week 23 Day 4 Use the grid model to find the product of 348 and 56.
Which expression could be used to check: 2.

1. 480 ÷ 9

a. 9 x 480 b. 53 x 9 + 3
d. 9 ÷ 480
c. 53 x 9 - 3

Which property of multiplication are you using when using
a grid model to organize your work?

Which expression is shown in the model below? A. associative property B. commutative property
3. C. distributive property D. multiplicative property

4.

a. 5 +  b. 5 x  5 678
c.  ÷ 5 d. 5 - 
Label 17/3, 8/1, and 5 on the number line above.
Then use the number line to compare. (>, <, =)

Be ready to “construct a viable argument”. 17/3 _____ 8/1 8/1_____5 5______ 17/3

Rename each mixed number as a sum of the parts and as an improper fraction. Example: 5 = 40/8 + 3/8 = 43/8

2 = _______________________ 3 = _______________________ 4 = ______________________

Weekly Homework Name ____________________________________
Week 24 Day 1
2. Study the model. Then write an equivalent fraction
1. 14 people can ride in one of the boats2a. t Water for each fraction. Follow the example:
World. If there are 85 boats, how many people
can ride at one time? 7/10 = 70/100

3/10 = ________ 30/100 = ________

5/10 = ________ 50/100 = ________

3. 3 + 1 = ____ 3 - 1 = ____ How do you know the fraction pairs are
equivalent?

4. Compare 6/9 and 2/3 by completing the models below.

11 6/9 ____ 2/3 because _____________________
_______________________________________
Draw a model of 6 .
Then, rename it as a mixed number. 2. Create an area model to find the solution.
180 donuts are packed in boxes by the dozen.(dozen = 12)
Week 24 Day 2 How many boxes are needed to pack the donuts?

1. Circle the best buy 180
when comparing cost of one ream of paper.
12
10 reams of paper for $42
or

5 reams of paper for $25

Why?

There are 4 more gray marbles than red marbles in a How does knowing multiplication facts help you find the
quotient?
Ream means a package of 500 sheets of paper all of the same size.
Create a model below to solve:
3. box. Which expression shows the number of gray
marbles if  represents the red marbles? 4. 15/8 – 7/8 = _____

A. gray = 4 x  B. gray =  ÷ 4

C. gray = 4 +  D. gray =  - 4 The difference can be named as ____ or ____.
Why are two fraction bars needed?

List all odd, composite numbers > 12 but <35. ______________________________________________

Weekly Homework Name ____________________________________
Week 24 Day 3 2. Compare by using >, <, or =.

Study the model below. A) 3.18 _____ 33 B) .07 ____ .7
1. What are two ways to name this amount?
C) .4 _____ .40 D) .19 ____ 19
________ or __________
3. Draw a model of: 3 x . So, 3 x  = _______ What math tool would be helpful to use in determining the answer?

4. Closer to 0 or 1?

 = _____  = _____  = _____

Are three circles needed to model this problem? Be ready to defend your answer by “constructing a viable
argument.” Think…what math tool could you use to prove your

thinking? (Standards for Mathematical Practice #3 and #4)

Week 24 Day 4 2. Place the following numbers on the number line:

Which expression has the same quotient as 2050 ÷ 50? 21 6 3 5
3 4 1
1.

a. 205 ÷ 5 b. 205 ÷ 50

c. 2050 ÷ 5 d. 2050 ÷ 500

___________________________________________________________

Which expression has the same product as 750 x 20?

a. 75 x 2 b. 750 x 2

c. 7500 x 20 d. 75 x 200

3. Ms. Young ordered 20 pencils from Ace Pencil Shop to 4. The Peele Toy Company has 6 factories located in the
sell in the school store. ¼ of the pencils are red and the northeastern United States. Eighty-seven people work at
rest are blue. each factory. Which of the following is the CLOSEST
ESTIMATE of the number of people working for the
How many red pencils did she receive? Peele Toy Company?

a. 480 b. 522 c. 540 d. 560

How many blue pencils did she receive? Would the exact answer be less than or greater than
your estimated answer? ________________ Why?

Weekly Homework Name ____________________________________
Week 25 Day 1
Use any strategy you have learned this year to
1. Write as a decimal. 2. 2. divide 108 into 6 equal groups.

3/10 _______ 3/100 _______

Write as a fraction.

0.4 ________ 0.04 __________

5 + 2 = ____ 5 - 2 = ____

3. 4. Compare 4/6 and 4/5 by completing the models below.

4/6 ____ 4/5 because _____________________
_______________________________________

Rename each fraction with an equivalent fraction. 1/6 = ______ 6/8 = ______ 2/5 = _____

Week 25 Day 2 Create an area model to find the solution.

1. Add the following numbers to the number line below: 2. 146 brownies are packed in boxes of 10. How many
.9 1.5 .09 boxes are needed to pack all the brownies? ________

012 146

Compare using >, < or =. 10

.9 _____ 0 0_____ 1.5 1 _____.9

.09 _____.9 2 _____.9 1.5 _____ 2 r = _______

3. Use the base ten model Use the base ten models 4. Create a model below to solve:
to show: .27 to show: 1.7
1 - = _____

The difference can be named as ____ or ____.
Why are two circles needed?

Weekly Homework Name ____________________________________
Week 25 Day 3 2. Compare by using >, <, or =.
1. Draw a model of: 9/4.
A) .50 _____ .5 B) .85 ____ 85
9/4 = _______ (mixed number)
3. Complete the model to show  of 3. C) .30 _____ .03 D) .17 ____ 1.7

4. Jorge shipped 26 boxes of light bulbs to the
Snellville Wal-Mart. Each box contained 148 light
bulbs. How many light bulbs did Wal-Mart receive?

So,  x 3 = _______.

Week 25 Day 4 Dana volunteered to make fruit punch for the
2. family reunion picnic. Her recipe calls for ¾ cup
Which expression has the same quotient as 36 ÷ 4?
of sugar for each gallon of punch. She needs to
1. a. 36 ÷ 40 b. 360 ÷ 40 make 5 gallons of punch. How much sugar will

c. 360 ÷ 4 d. 3600 ÷ 40 she use in making the punch?

Find each product.

68 x 100 = _________ 680 x 10 = _________

68 x 1000 = ________ 680 x 100 = _________

What do you notice?

3. Use either = or ≠ to complete each statement. 4. Which expression could be used to check: 149 ÷ 7
(5 x 20) + (5 x 3)____ 5 x 23

a. (20 x 7) + 7 = 149 b. (21 x 7) + 9 = 149

502.8 ____ 500 + 2 + 8

c. (20 x 7) + 9 = 149 d. (21 x 9) + 7 = 149

482 ÷ 6 _____ (48 ÷ 6) + (2 ÷ 6)

36 So, 149 ÷ 7 = _________
4 ______ 8

Rename each as a mixed number. 11/6 ______ 8/3 ______

List the first ten prime numbers. ________________________________________________________________

Weekly Homework Name ____________________________________
Week 26 Day 1 Use any strategy or model you have learned to

1. Write as a decimal. 2. 2. divide 119 by 7.

8/10 _______ 80/100 _______ 4. Compare 3/6 and 3/4 by completing the models below.

24/10 _______ 24/100 _______

Write as a fraction OR mixed number.

0.3 ________ 0.03 __________

3.9 _________ .13 ___________

3. 5 + 3 = ____ 5 - 3 = ____

3/6 ____ 3/4 because _____________________
______________________________________

Rename each fraction with an equivalent fraction. 2/4 = ______ 3/4 = ______ 1/4 = ______ 5/15 = _____

Week 26 Day 2 There are 188 students in 4th grade. There are 22
1. Place the following numbers on the number line below: 2. more girls than boys. How many boys are in the 4th

.8 0 .5 1 .08 grade? How many girls?

Remember: Write your answer statements first, then
solve.

Compare using >, < or =.

.8 _____ 0 0_____ .5 1 _____.8
.5 _____ .08
.08 _____.8 .8 _____.5

3. Use the base ten Use the base ten models to 4. Create a model below to solve:
model show: 3.4
 + 1 = _____
to show: .83

The sum can be named as ____ or ____.

Weekly Homework Name ____________________________________
Week 26 Day 3
1. Draw a model of: 12/3. 2. Compare by using >, <, or =.

12/3 = __________. A) .60 _____ .06 B) 3.5 ____ 0.35
Complete the model to 4 x 2/3.
3. C) 4/6 _____ 8/12 D) 3/7 ____ 3/5

4. Use two different strategies to show:
305 x 27 = _____

So, 4 x 2/3 = _______ Why did Mrs. King
create only three bars divided into thirds and not
four bars?

Week 26 Day 4 Try using a bar model to find the solution
to the following math riddle.
1. Label each of the angles below as acute, right, or
obtuse. 2. The sum of 2 numbers is 36. The first number is
twice the second number. What is the 2nd number?

Remember to begin with an answer statement.

A BC

D 4. Which fraction is equivalent to 3/9?
A. 9/3 B. 1/3 C. 1/9 D. 6/27
Angle A ___________
Angle B____________ Which fraction is NOT equivalent to 12/20?
Angle C ___________ A. 2/10 B. 6/10 C. 3/5 D. 24/40
Angle D ___________
Compare using >, < or =.
Use either = or ≠ to complete each statement. 3.8 _____ .38 38 _____ 38.0 .03 _____.30
3. Do you notice any properties?

(6 + 9) + 11 ____ (6 + 9) + (6 +11)

(12 x 14) – (12 x 13) _____ 12 x 1

543 + 973 _____ (500+900) + (40 + 70) + 6

7 x 23 _____ (7 x 2) + (7 x 3)

4 x (5 x 8) _______(4 x 5) x (4 x 8)

48 ÷ 12 ______ ( 24 ÷ 12) + (24 ÷ 12)

Rename each as an improper fraction. 8 ______ 9 ______

List the first ten composite numbers. ________________________________________________________

Weekly Homework Name ____________________________________
Week 27 Day 1 Use any strategy or model you have learned

1. Write as a decimal. 2. 2. to divide 9046 divided by 8.

3/10 _______ 30/100 _______ 4. Compare 3/6 and 4/8 by completing the models below.

9/10 _______ 9/100 _______

Write as a fraction or mixed number.

7.3 ________ 1.05 __________

.04 _________ .17 ___________

3. 6 + 2 = ____ 6 - 2 = ____

3/6 ____ 4/8 because _____________________
______________________________________

Rename each fraction with an equivalent fraction. 7/8 = ______ 2/3 = ______ 4/5 = _____

Week 27 Day 2 2. Create an area model to find the solution.
1. Place the following numbers on the number line below:
Tennis balls are packed in boxes of 12. How many
.05 1 .25 0 1.5 .5 boxes are needed to pack all 160 tennis balls?

160

Compare using >, < or =.

12

1.5 _____ .5 1_____ .25 .25 _____1.5

.05 _____.25 .25 _____.5 0 _____ .25

r = _________ So, ________ boxes are needed.

3. 4. Create a model below to solve:
Use the base ten model Use the base ten models
to show: .29 2 - 1 = _____
to show: 1.5

The sum can be named as ____ or ____.

Weekly Homework Name ____________________________________
Week 27 Day 3 2. Which is the best estimated product of: 87 and 54
1. Draw a model of: 4/1.
A. 4000 B. 4500 C. 4698 D. 5400
Complete the model to 3 x 4/5.
3. How can this information be used to determine
if the exact answer is reasonable?

4. Find the product of 4287 and 6.

So, 3 x 4/5 = _______ as a mixed number but can Explain how division or addition could be used to
also be named as _______ as an improper fraction. check your answer.

Week 27 Day 4 Try using a bar model to find the solution.

1. Label each of the angles below as acute, right, or 2. Remember to begin by writing an answer statement first.
obtuse. The distance around the neighborhood track is 0.6
miles. If Shana walked around the track 3 times,
AB how far did she walk?

C
D

Angle A ___________
Angle B____________
Angle C ___________
Angle D ___________

Write 5 equivalent fractions for: 4. Which fraction(s) listed below is(are) NOT
equal to the shaded part of the rectangle?
3.  = ______ ______ ______ ______ ______

Tybee Surf School has registered 56 boys and girls for
June camps. 18 more boys have registered than girls.
How many boys have registered? How many girls?
Begin by writing an answer statement first.

A. 4/5 B. 6/10 C. 16/20 D. 1/5

Rename each as a mixed number. 41/4 ______ 9/2 ______ 17/3_____

List the next ten prime numbers after 23. ________________________________________________________

Weekly Homework Name ____________________________________
Week 28 Day 1
Use two different strategies to find the quotient for

1. Write as a decimal. 2. 2. 238 divided by 9.

strategy 1 strategy 2

36/10 _______ 70/100 _______

2/10 _______ 2/100 _______

Write as a fraction or mixed number.

8.4 ________ 2.09 __________

.05 _________ .19 ___________

3. 5 + 1 = ____ 5 - 1 = ____ Michael bought some potatoes. He used 8 pounds to make
4. potato salad. He gave his brother 4 pounds. He has 5

pounds left. How many pounds of potatoes did Michael buy?

Begin by writing an answer statement then solve.

Week 28 Day 2 Create an area model to find the solution.
A flower shop ordered 140 roses for a wedding. Nine
1. Place the following numbers on the number line below: 2. roses are to be placed in each vase. How many vases
2, 1, , 1, 0 will be needed? Will there be any roses not used?

Use what you know about fractions and the number
line above to compare using >, < or =.

_____ 0 1_____ 1 2 _____1

1 _____ 1_____2 0 _____  So, ________ vases are needed.

3. What decimal is shown by the model below? _______ 4. Create a model below to solve:

1 -  = _____

The difference can be named as ____ or ____.

Weekly Homework Name ____________________________________
Week 28 Day 3 2. Which is the best estimated product of 72 and 38?

Draw a model of: 13/3. A. 2100 B. 2736 C. 2800 D. 3200
1.
How can this information be used to determine if your exact answer
13/3 can also be named as ____________. is reasonable in problem #4?
3. Complete the model to 7 x 1/4.
4. Find the product of 72 and 38 using two strategies.

strategy 1 strategy 2

So, 7 x 1/4 = _______ (as a mixed number) and
_______ (as an improper fraction).

How could repeated addition be used to find the
product?

Week 28 Day 4 2. Which of the following shows one way
to find the product of 4 and 2/5?
Label each of the angles below as acute, right, or
1. obtuse.

A. 4/5 + 4/5 B. 2/5 + 2/5 + 2/5 + 2/5

AB

C. 2/5 x 2/5 x 2/5 x 2/5 D. (4 x 2/5) + (4 x 2/5)

C 4. For each figure below, draw the lines of
D symmetry. Record the number each has.

Angle A ___________ __________ __________
Angle B____________
Angle C ___________
Angle D ___________

Write 5 equivalent fractions for:

3.  = ______ ______ ______ ______ ______

Edina has 6 baskets of apples. Each basket is  full of
apples. How many full baskets of apples does she have?

Draw a model to show your thinking.

___________ ____________

Circle all the fractions equal to 1/2. How can you tell by studying the numerator and denominator?
5/10 4/8 4/12 3/6 10/16 25/50 10/30 2/4 6/15

If the numerator is equal to ______________ of the denominator, the fraction is equal to 1/2.

Weekly Homework Name ____________________________________
Week 29 Day 1

Show two ways to divide 208 divided by 6.

1. Write as a decimal. 2. 2. strategy 1 strategy 2

17/10 _______ 25/100 _______

6/10 _______ 8/100 _______

Write as a fraction or mixed number.

7.3 ________ 1.78 __________

.01 _________ .1 ___________

3. 3 + 2 = _____ 3 - 2 = ______ 4. Monica fills 8 plastic cups with orange juice. Each cup
holds  cup of juice. She has 1 cups of orange juice
leftover. How much orange juice did she have before
she began filling the 12 plastic cups?

Rename each fraction with an equivalent fraction.  = ________  = ________  = ________  = ________

Week 29 Day 2 2.
A bakery made 2572 sugar cookies for the troops
Place the following numbers on the number line below: overseas. To keep the cookies from breaking, only 8
1. cookies are packed in each box. How many boxes
will be needed to ship all the cookies to the troops?
.5 1 1.5 .25 0 .75 1.25

Compare using >, < or =.

.5_____ 1.5 1.5_____ .25 .25 _____2
0 _____ .5
.75 _____2 1.25_____1.5

What number did you add to your number line that wasn’t in the list ________ boxes will be needed to ship all the cookies.
that helped you figure out where to place numbers > 1?

3. What decimal is shown by the shaded area? _______ 4. Create a model below to solve:

Add .27 to the model. 3 - 1 = ______ or ______
What amount does it
now show?

__________

Weekly Homework Name ____________________________________
Week 29 Day 3 2. Which is the best estimated product of: 63 and 27?

Draw a model of: 10/6. A. 1800 B. 1701 C. 1700 D. 1500
1.
How can this information be used to determine if your answer is
10/6 can also be named as ____________. reasonable in problem 4?
3. Complete the model to show 3 groups of 2/5.
4. Find the product of the factors in problem #2.

So, 3 x 2/5 = _______ (as a mixed number) and 2. Selena estimates that each guest invited to her
_______ (as an improper fraction). party will eat 3/4 cup of popcorn. If 6 people attend
the party (including Selena) how much popcorn does
How could repeated addition be used to find the Selena estimate will be eaten? Begin by writing an
product?
answer statement then solve.
Week 29 Day 4
Use the drawing and clues below to label the streets.

1.

-Lane Street intersects Smith Court. 4. For each figure below, draw the lines of
-Smith Court is perpendicular to Lane Street. symmetry. Record the number each has.
-Orange Avenue and Lane Street are parallel to each other.

3.

AB C DE

1. I have 4 right angles and 4 congruent sides. _____ __________ __________

2. I have 3 acute angles. _____

3. I have 1 right angle. ______

4. I have 2 pairs of parallel sides and no right angles. ___ ___________ ____________
5. I have exactly 1 pair of parallel sides. ______

Circle all the fractions equal to 1/4. How can you tell by studying the numerator and denominator?
4/16 4/8 3/12 3/8 5/20 5/24 10/20 10/40 8/32

If the numerator is equal to ______________ of the denominator, the fraction is equal to 1/4.