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Chapter 11
Name: ___________________________________ Date: _________________
Relate Multiplication and Division
Division Facts
& Patterns
HW 11.2
Practice to review… I can use fact families to multiply and divide!
Draw an array to show these facts.
I can write a fact family for 2, 3, and 6.
factor
×
=
÷
=
×
=
÷
=
factor
€
product
dividend
divisor
quotient
€the ________________________ names the total amount in the array and the
In multiplication equations,
________________________ name the number of rows and columns in the array.
In division equations, the ________________________ names the total amount in the array and the
________________________ and ________________________ name the number of rows and columns in
the array.
Practice to remember…
Write a complete fact family for each model or set of numbers.
1.
2. 7, 6, 42
Tell if each fact family is complete. Use pictures, numbers, or words to show how you know.
3. 3 × 9 = 27
3 = 27 ÷ 9
9 × 3 = 27
9 = 27 ÷ 3
4. 2 × 2 = 4
4 ÷2 =2
€
€
Find each missing number. Draw a model to prove that your answer is correct.
5.
24 = 6 ×
6.
21÷
=7
€
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division Facts
& Patterns
RE 11.2
Practice for fluency…
7. Round 6,975 to the place of the underlined digit.
a.
Which statement is true?
a. 10 boxes of 10 pencils = 1,000 pencils
6,970
b. 6,980
b. 10 boxes of 100 pencils = 1,000 pencils
c.
6,900
c. 10 boxes of 1,000 pencils = 1,000 pencils
d. 7,000
d. 100 boxes of 100 pencils = 1,000 pencils
Write each number in standard form.
9.
8.
Compare. Write >, <, or = .
two thousand eighteen _______________ 11. 300 + 90
10. 10,000 + 300 + 60 + 8
_______________
12. 100 + 20
39
10,020
Answer the question. Use pictures, numbers, or words to show your thinking in the space provided.
13. Kevin earns $10 each week for mowing lawns. How much money will Kevin earn in 8 weeks?
Show how you know.
14. Ms. Waters has 5 students in a small group. She gave each of her students 2 red pencils and 2 blue pencils.
How many pencils did Ms. Waters give out? Show how you know.
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Division
Facts & Patterns
Name: ___________________________________ Date: _________________
Divide by 3
HW 11.3
Practice to review… I can use different strategies to divide by three!
I know different strategies to show the quotient of 3)12 .
I can use a related fact.
I can draw an array.
Here is another strategy I know…
€
3x
12 ÷ 3 = _____
_____ = 12
3)12
Practice to remember…
Find each quotient.
1.
9 ÷ 3 = _____
4.
3) 24
2.
€
€
3)18
5. _____ = 15 ÷ 3
3.
6.
3 ÷ 3 = _____
3) 30
Solve. Use pictures, numbers, or words to show your thinking.
7. Walter sold 3 CDs at a yard sale for $15. Each CD sold for the same price.
What was the price of each CD? Show how you know.
€
8. Write a division sentence that matches the number line. Show how you know.
© Lincoln Public Schools, 2016
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.3
Practice for fluency…
9.
Which numbers are missing in the pattern?
3, 6, 9, 12, ___, 18, ___
10. Soon-Jin read 17 pages in a book on Saturday.
She read 29 pages on Sunday. Rounded to the
nearest ten, about how many pages did she read?
a. 14 and 20
a. 60
b. 15 and 21
b. 50
c. 15 and 20
c. 45
d. 21 and 24
d. 10
Find each missing number.
11. _____ ÷ 5
=6
13. _____ = 7 × 4
12.
0 ÷ 10 = _____
14.
2 ×_____ = 16
Answer the question. Use pictures, numbers, or words to show your thinking in the space provided.
15. Find the difference. Show your thinking in two ways.
100 − 86 =
© Lincoln Public Schools, 2016
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Divide by 4
Division
Facts & Patterns
HW 11.4
Practice to review… I can use different strategies to divide by four!
I can use strategies to find the quotient of 4) 24 .
I can divide by 2 twice.
÷2
I can use multiplication with related facts
÷2
24
20
4
(4×5)
(4×1)
0
÷4
24 ÷ 4 = _____
4 ×_____ = 24
Practice to remember…
Find each quotient.
1.
16 ÷ 4 = _____
2.
4) 20
3.
36 ÷ 4 = _____
4.
4)12
5.
4 ÷ 4 = _____
6.
40 ÷ 4 = _____
8.
4 ×0 = _____
9. _____ ×7 = 28
_____ ÷ 4 = 0
28 ÷ _____ = 7
Complete each equation.
7.
4 ×_____ = 32
32 ÷ 4 = _____
Solve. Use pictures, numbers, or words to show your thinking.
10.
Thirty-two students are on teams at a swimming meet. Four students are on each team.
How many teams are at the swimming meet? Show how you know.
© Lincoln Public Schools, 2015
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.4
Practice for fluency…
11. There are two teams in a math competition. Each
team has 6 players. Rounded to the nearest ten,
how many players are in the competition?
12. Phoebe has $231 in her savings account. She
adds $110 to the account. How much money in
Phoebe’s savings account now?
a. 6
a. $241
b. 10
b. $242
c. 15
c. $331
d. 20
d. $341
Find each product or quotient.
13.
5 × 7 = __________
14.
0 ÷ 6 = __________
15.
__________ = 8 × 3
16.
__________ = 36 ÷ 9
Answer each question. Use pictures, numbers, or words to show your thinking in the space provided.
17. There are 5 rows of marbles. Each row has 4 marbles. If the marbles are moved into 4 rows, how many
marbles will be in each row? Show how you know.
18. Rose puts 15 books on shelves. How many shelves does Rose use if she puts 5 books on each shelf.
Show how you know.
© Lincoln Public Schools, 2015
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Divide by 6
Division
Facts & Patterns
HW 11.5
Practice to review… I can use different strategies to divide by six!
I know different strategies to show the quotient of 6)18 .
I can use a related fact.
I can draw an array.
€
6x
_____ = 18
18 ÷ 6 = _____
Practice to remember…
Find each quotient.
1.
12 ÷ 6 = _____
4.
6) 6
2.
€
6) 30
3.
5. _____ = 24 ÷ 6
6.
42 ÷ 6 = _____
6) 0
Solve. Use pictures, numbers, or words to show your thinking.
7. Thirty gardening books are on 6 shelves in the library. The same number of books are on each shelf.
How many gardening books are on each shelf? Show how you know.
€
8. Janet drew this number line to represent 12 ÷ 6. Is she correct? Show how you know.
© Lincoln Public Schools, 2016
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.5
Practice for fluency…
9.
What is the missing value?
10. What is the missing value?
8 + (8 – ) = 8
20 – 5 =  + 5
a. 0
a. 20
b. 8
b. 15
c. 16
c. 10
d. 24
d. 5
Compare. Write = or ≠ for items 15 and 16.
Compare. Write >, <, or = for items 17 and 18.
15.
100 + 60
160
17.
3,064
3,560
16.
640
600 + 40
18.
5,442
4,452
Answer each question. Use pictures, numbers, or words to show your thinking in the space provided.
19. Marisa built a number with base ten blocks.
What number did Marisa model? Show how you know.
€
€
20. Susie rounded a number to 100. What could Susie’s number have been? Explain your thinking.
© Lincoln Public Schools, 2016
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Divide by 7
Division
Facts & Patterns
HW 11.7
Practice to review… I can use different strategies to divide by seven!
I know different strategies to show the quotient of 7 ) 28 .
I can use a related fact.
7
0
7
7
I can draw an array.
€
14
_____ ÷ _____ = _____
_____ x _____ = _____
Practice to remember…
Find each quotient.
1.
21 ÷ 7 = _____
4.
7 ) 28
€
2.
7 ) 49
3.
5.
_____ = 56 ÷ 7
6.
0 ÷ 7 = _____
7 )14
Choose the correct operation. Write +, −, ×, or ÷ for each .
7 = 7
6 6 = 1
49
7.
10.
8.
11.
 6 = 48
6 6 = 0
8
€
9.
12.
 6 = 24
40  4 = 10
30
Solve. Use pictures, numbers, or words to show your thinking.
13. How could knowing that 35 ÷ 7 = 5 help you find 42 ÷ 7 ? Explain.
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.7
Practice for fluency…
Choose the multiplication sentence that matches.
14. 3 + 3 + 3 + 3 + 3 + 3
15.
a. 3 × 3 × 3 × 3 × 3 × 3
a. 4 × 1
b. 6 × 6 × 6
b. 4 × 12
c. 6 × 3
c. 3 × 12
d. 3 × 3
d. 3 × 4
Write the two tens each number is between.
Write the two hundreds each number is between.
16. 71 is between ___________ and ___________
18. 6,651 is between __________ and __________
17. 665 is between __________ and __________
19. 591 is between __________ and __________
Answer each question. Use pictures, numbers, or words to show your thinking.
20. Annie walked 14 miles in 7 days. She walked the same number of miles each day.
How many miles did Annie walk each day? Show how you know.
21. Terry sells 30 tickets to the school fair. He sells the same number of tickets each day for 6 days.
How many tickets did Terry sell each day? Show how you know.
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Division
Facts & Patterns
Name: ___________________________________ Date: _________________
Divide by 8
HW 11.8
Practice to review… I can use different strategies to divide by eight!
I can use strategies to find the quotient of 8) 40 .
I can divide by 2 three times.
÷2
÷2
I can use an array or a
related multiplication fact.
€
÷2
40
÷8
40 ÷ 8 = _____
8 ×_____ = 40
Practice to remember…
Find each quotient.
1.
0 ÷ 8 = _____
2.
8) 24
3.
48 ÷ 8 = _____
4.
8)16
5.
64 ÷ 8 = _____
6.
56 ÷ 8 = _____
8.
7 ×0 = _____
9. _____ ×8 = 32
_____ ÷ 7 = 0
32 ÷ _____ = 8
€
Complete each equation.
7.
6 ×_____ = 42
42 ÷ 6 = _____
Solve. Use pictures, numbers, or words to show your thinking.
10. Why is the quotient of 40 ÷ 8 less than the quotient of 48 ÷ 8 ? Explain your thinking.
€
© Lincoln Public Schools, 2012
€
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.8
Practice for fluency…
11. Choose the related multiplication fact.
12. Choose the related division fact.
8÷4=2
4 × 10 = 40
a.
4× 2 = 8
a.
4 ÷ 10 = 40
b.
8× 4 = 2
b.
4 ÷ 40 = 10
c.
4× 8 = 2
c.
10 ÷ 4 = 40
d.
8× 2 = 4
d.
40 ÷ 10 = 4
Draw an array for each equation. Then write the fact family for the array.
13.
3 × 4 = 12
14.
9÷3=3
Answer each question. Use pictures, numbers, or words to show your thinking in the space provided.
15. Kim takes 5 pictures of his new cat. Floyd takes twice as many pictures of his new dog as Kim takes of her
new cat. How many pictures do Floyd and Kim take in all? Show how you know.
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Divide by 9
Division
Facts & Patterns
HW 11.9
Practice to review… I can use different strategies to divide by nine!
I can use strategies to find the quotient of 9) 36 .
I can make equal groups.
I can use multiplication with related facts
€ 9
0
36 ÷ 9 = _____
9
9
18
9 ×_____ = 36
Practice to remember…
Find each quotient.
1.
81 ÷ 9 = _____
2.
9) 27
3.
63 ÷ 9 = _____
4.
9) 90
5.
9 ÷ 9 = _____
6.
54 ÷ 9 = _____
8.
9 × 8 = _____
9. _____ ×
€
Complete each equation.
7.
9 ×_____ = 0
0 ÷ 9 = _____
_____ ÷ 9 = 8
9 = 18
18 ÷ _____ = 9
Solve. Use pictures, numbers, or words to show your thinking.
10. Chet builds 9 birdhouses every day. How long will it take him to build 45 birdhouses.
Show how you know.
© Lincoln Public Schools, 2012
3rd Grade Math
Chapter 11
Name: ___________________________________ Date: _________________
Remembering
Division
Facts & Patterns
RE 11.9
Practice for fluency…
Solve. Choose the correct answer.
11. 0 ÷ 4 =
12. 4 ÷ 0 =
a. 0
a. 0
b. 1
b. 1
c. 4
c. 4
d. impossible
d. impossible
Write each product or quotient.
13.
7 ÷ 1 = _____
14.
1 × 8 = _____
15.
64 ÷ 8 = _____
16.
4 × 8 = _____
17.
6 × 6 = _____
18.
42 ÷ 6 = _____
19.
0 × 7 = _____
20.
3 × 9 = _____
Answer each question. Use pictures, numbers, or words to show your thinking in the space provided.
21. Hannah saved $5 every month. She save $45 in all. For how many months did Hannah save $5?
Show how you know.
22. A quilt is made from 48 fabric squares arranged in rows. There are 8 squares in each row.
How many rows of fabric squares are in the quilt? Show how you know.
© Lincoln Public Schools, 2012
3rd Grade Math