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Chapter 3 Multiplication and Division: Concepts and Facts Lesson 3-1: Meanings for Multiplication: Seatwork Write an addition sentence and a multiplication sentence for each picture ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ ___________________________ __________________ ___

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Page 1: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsLesson 3-1: Meanings for Multiplication: Seatwork

Write an addition sentence and a multiplication sentence for each picture

___________________________

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___________________________

___________________________

_____________________

__________________

_____________________

________________________________________________________________________

________________________________________________________________________

Draw an array for 6 X 3 Draw an array for 4 X 5

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Page 2: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-1: Meanings for Multiplication: Seatwork

Write a multiplication sentence for each addition sentence.

1. 6+6+6+6+6 = 30 ______________________________________

2. 7+7+7+7 = 28 ______________________________________

3. 8+8+8 = 24 ______________________________________

4. 9+9+9+9+9+9+9 = 63 ______________________________________

5. 3+3+3+3= 12 ______________________________________

There are 7 haunted houses on Mockingbird lane. Each house has four ghosts. How many ghosts are there in all?

4 x 5 = _______ 4 x 3 = _______

4 x 6 = _______ 4 x 8 = _______

4 x 7 = _______ 4 x 11 = _______

4 x 10 = _______ 4 x 0 = _______

4 x 2 = _______ 4 x 12 = _______

4 x 6 = _______ 4 x 9 = _______

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Page 3: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-1: Meanings for Multiplication: Homework

Write an addition sentence and a multiplication sentence for each picture

Draw an array for 3 X 7 Draw an array for 9 X 3

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___________________________

___________________________

___________________________

___________________________

___________________________

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Page 4: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsLesson 3-1: Meanings for Multiplication: Homework

Write a multiplication sentence for each addition sentence.

1. 8+8+8+8+8 = 40 ______________________________________

2. 5+5+5+5 = 20 ______________________________________

3. 12+12+12 = 36 ______________________________________

4. 4+4+4+4 = 16 ______________________________________

5. 11+11+11+11= 44 ______________________________________

There are 6 ghosts in each room of Mr. Adlin’s house. He has 7 rooms in his house. How many ghosts are there in all?

7 x 5 = _______ 7 x 3 = _______

7 x 6 = _______ 7 x 8 = _______

7 x 7 = _______ 7 x 11 = _______

7 x 10 = _______ 7 x 0 = _______

7 x 2 = _______ 7 x 12 = _______

7 x 6 = _______ 7 x 9 = _______

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Page 5: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Seatwork

Commutative Property of multiplication: two numbers can be multiplied in any order and the product is the same

3 x 4 = 4 x 3

Identity Property of Multiplication : the product of any number and one is that number

13 x 1 = 13

Zero Property: the product of any number and zero is zero9 x 0 = 0

Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, & Identity Property of Multiplication

1. 12 x 9 = 9 x 12 property used _____

2. 24 x 0 = 0 property used _____

3. 8 x 4 = 4 x 8 property used _____

4. 18 x 1 = 18 property used _____

5. 1 x 98 = 98 property used _____

6. 13 x 0 = 0 property used _____

The product of two numbers is 63. One of the numbers is 63. What is the other factor? What property is being used?____________________________________________________________________________________________________________

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Page 6: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts____________________________________________________________________________________________________________Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Seatwork

Solve

9 x 5 = _______ 5 x 7 = _______

9 x 2 = _______ 5 x 8 = _______

9 x 1 = _______ 2 x 11 = _______

9 x 0 = _______ 5 x 0 = _______

2 x 7 = _______ 5 x 12 = _______

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Page 7: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts2 x 6 = _______ 5 x 11 = _______

Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Homework

Commutative Property of multiplication: two numbers can be multiplied in any order and the product is the same

3 x 4 = 4 x 3

Identity Property of Multiplication : the product of any number and one is that number

13 x 1 = 13

Zero Property: the product of any number and zero is zero9 x 0 = 0

Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, & Identity Property of Multiplication

1. 1 x 9 = 9 property used _____

2. 24 x 13 = 13 x 24 property used _____

3. 78 x 0 = 0 property used _____

4. 18 x 1 = 18 property used _____

5. 0 x 98 = 0 property used _____

6. 113 x 1 = 113 property used _____

One factor of a product is 42 the other factor is 0 . What is the product? What property is being used?

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Page 8: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts________________________________________________________________________________________________________________________________________________________________________________________________________________________

Lesson 3-2: Patterns in Multiplying by 0, 1, 2, 5, and 9: Homework

Solve

5 x 5 = _______ 2 x 7 = _______

5 x 2 = _______ 2 x 8 = _______

5 x 1 = _______ 2 x 11 = _______

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Page 9: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts5 x 0 = _______ 2 x 0 = _______

5 x 7 = _______ 2 x 12 = _______

5 x 6 = _______ 2 x 11 = _______

Lesson 3-3: Using Known facts to Find Unknown Facts: Seatwork

Distributive Property: Shows that you can break apart facts to find the product

13 x 4 = ?????

You know 10 + 3 = 13….. You know that 10 x 4 = 40 and 3 x 14 = 12And 40 = 12 = 52

Therefore 13 x 4 = (10 x 4 ) + (3 x 4) = 52

Use the distributive property to solve the problems below.

15 x 3 = _______ 22 x 7 = _______15 = 10 + 5 so 22 = 20 + 2 so(10 x 3) + (5 x 3) = (20 x 7) + (2 x 7) = _______ (30) + (15) = _______ (140) + (35) = _______

17 x 4 = _______ 34 x 3 = _______17 = 10 + 7 so 34 = 30 + 4 so

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Page 10: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts(10 x 4) + (7 x 4) = (30 x 3) + (4 x 3) = _______ (40) + (28) = _______ (90) + (12) = _______

16 x 9 = _______ 31 x 5 = _______16 = 10 + 6 so 31 = 30 + 1 so(10 x 9) + (6 x9 ) = (30 x 5) + (1 x 5) = _______ (90) + (54) = _______ (150) + (5) = _______Lesson 3-3: Using Known facts to Find Unknown Facts: Seatwork

Now try and solve these one your own. Use the same steps

27 x 5 = _______ 29 x 9 = _______

38 x 5 = _______ 53 x 9 = _______

46 x 5 = _______ 28 x 9 = _______

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Page 11: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

92 x 5 = _______ 35 x 9 = _______

Lesson 3-3: Using Known facts to Find Unknown Facts: Homework

Distributive Property: Shows that you can break apart facts to find the product

13 x 4 = ?????

You know 10 + 3 = 13….. You know that 10 x 4 = 40 and 3 x 14 = 12And 40 = 12 = 52

Therefore 13 x 4 = (10 x 4 ) + (3 x 4) = 52

Use the distributive property to solve the problems below.

22 x 3 = _______ 15 x 7 = _______22 = 20 + 2 so 15 = 10 + 5 so (20 x 3) + (2 x 3) = (10 x 7) + (5 x 7) = _______ (60) + (6) = _______ (70) + (35) = _______

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Page 12: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts34 x 4 = _______ 17 x 3 = _______34 = 30 + 4 so 17 = 10 + 7 so (30 x 4) + (4 x 4) = (10 x 3) + (7 x 3) = _______ (120) + (16) = _______ (30) + (21) = _______

31 x 9 = _______ 16 x 5 = _______31 = 30 + 1 so 16 = 10 + 6 so(30 x 9) + (1 x9 ) = (10 x 5) + (6 x 5) = _______ (270) + (9) = _______ (50) + (30) = _______Lesson 3-3: Using Known facts to Find Unknown Facts: Homework

Now try and solve these one your own. Use the same steps

29 x 9 = _______ 51 x 5 = _______

93 x 3 = _______ 56 x 5 = _______

43 x 9 = _______ 18 x 3 = _______

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Page 13: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

48 x 9 = _______ 53 x 9 = _______

Lesson 3-4: Multiplying By 10, 11, & 12: Seatwork

What are the patterns for multiples of 10, 11, and 12?

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Page 14: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Describe a rule to find a multiple of 10. _____________________________

How could use the Distributive Property to solve 12 x 9? __________________ ___________________________________________Solve

11 x 5 = _______ 12 x 7 = _______

11 x 2 = _______ 12 x 8 = _______

11 x 1 = _______ 12 x 11 = _______

11 x 0 = _______ 12 x 0 = _______

Lesson 3-4: Multiplying By 10, 11, & 12: HomeworkSolve: Please study the facts you are not sure about

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Page 15: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts1 x 10 = _____ 1 x 11 = _____ 1 x 12 = _____

2 x 10 = _____ 2 x 11 = _____ 2 x 12 = _____

3 x 10 = _____ 3 x 11 = _____ 3 x 12 = _____

4 x 10 = _____ 4 x 11 = _____ 4 x 12 = _____

5 x 10 = _____ 5 x 11 = _____ 5 x 12 = _____

6 x 10 = _____ 6 x 11 = _____ 6 x 12 = _____

7 x 10 = _____ 7 x 11 = _____ 7 x 12 = _____

8 x 10 = _____ 8 x 11 = _____ 8 x 12 = _____

9 x 10 = _____ 9 x 11 = _____ 9 x 12 = _____

10 x 10 = _____ 10 x 11 = _____ 10 x 12 = _____

11 x 10 = _____ 11 x 11 = _____ 11 x 12 = _____

12 x 10 = _____ 12 x 11 = _____ 12 x 12 = _____

George has 9 coins.

If all of George’s coins are dimes, how much money does he have? __________

If all of George’s coins are nickels, how much money does he have? __________

If George has nickels and five dimes , how much money does he have? ______

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Page 16: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-5: Make a Table: Seatwork

Sometimes making a table can help to solve word problems. Use the tables below to help you represent what you know.

Squidward collected 6 clarinets a day. Patrick collected 4 rocks a day. How many objects did each character collect at the end of the week.

Sunday Monday Tuesday Wed Thursday Friday Saturday TOTAL

Squid6

Pat4

Spongebob can make 7 crabby patties a minute. Squidward can only make 3 crabby patties a minute. How many crabby patties did Squidward make when Spongebob made 35 patties

minutes 1 2 3 4 5 6 7 8Squid

3

Sponge7

Flapjack wants to buy a gumdrop for each day. Each Gumdrop costs $.05. Captain Cannuckles wants to buy chocolate for $.07. How much will each character spend at the end of the week?

Sunday Monday Tuesday Wed Thursday Friday Saturday TOTALFlapjack

5

Cannuckle7

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Page 17: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts Lesson 3-5: Make a Table: Homework

Sometimes making a table can help to solve word problems. Use the tables below to help you represent what you know.

Spongebob can read 8 Mermaid Man & Barnacle Boy comic books a day. Patrick ate 6 comic books a day. At the end of the week how many book did spongebob read and Patrick eat?

Sunday Monday Tuesday Wed Thursday Friday Saturday TOTAL

8

6

How many comic books does Spongebob read by the end of the week?

How many comic books does Patrick eat by the end of the week?

When did each character have 24 comic books finished?

If the project continued for another week, how many comic books would Spongebob have read?What would Patrick have (besides a stomachache !)?

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Page 18: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-7: Relating Multiplication and Division: Seatwork

is the inverse operation of24 = 8 x 3

Just like multiplication, Each number in division has a name too

or

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Page 19: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Lesson 3-7: Relating Multiplication and Division: SeatworkLook at the following problems. Label each term at dividend, divisor, or quotient.

42 ÷ 6 = 7

________________ ________________ __________________

56 ÷ 7 = 8

________________ ________________ __________________

21 ÷ 3 = _____ 18 ÷ 6 = _____ 30 ÷ 5 = _____

24 ÷ 4 = _____ 14 ÷ 7 = _____ 32 ÷ 4 = _____

27 ÷ 9 = _____ 15 ÷ 3 = _____ 33 ÷ 3 = _____

25 ÷ 5 = _____ 12 ÷ 6 = _____ 35 ÷ 5 = _____

24 ÷ 8 = _____ 18 ÷ 2 = _____ 36 ÷ 4 = _____

22 ÷ 11 = _____ 16 ÷ 4 = _____ 36 ÷ 3 = _____

SolveYou want to plant twenty pumpkins in 4 rows. How many pumpkins should you put in each row?

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Page 20: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts________________________________________________________________

A graveyard holds 8 skeletons. How many graveyards could you fill with 32 skeletons?

________________________________________________________________

Lesson 3-7: Relating Multiplication and Division: HomeworkLook at the following problems. Label each term at dividend, divisor, or quotient.

72 ÷ 6 = 12

________________ ________________ __________________

72 ÷ 9 = 8

________________ ________________ __________________

40 ÷ 5 = _____ 54 ÷ 6 = _____ 60 ÷ 5 = _____

42 ÷ 7 = _____ 56 ÷ 7 = _____ 64 ÷ 8 = _____

44 ÷ 4 = _____ 55 ÷ 5 = _____ 63 ÷ 7 = _____

48 ÷ 8 = _____ 50 ÷ 5 = _____ 66 ÷ 6 = _____

49 ÷ 7 = _____ 48 ÷ 8 = _____ 72 ÷ 9 = _____

48 ÷ 4 = _____ 36 ÷ 6 = _____ 81 ÷ 9 = _____

Solve

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Page 21: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsYou have 18 goblins to pass out equally to each trick or treater. How many goblins should you give to 6 trick or treaters.

________________________________________________________________

You need to arrange 32 bats equally into their caves. How many bats would you put equally into 8 caves?

________________________________________________________________

Lesson 3-8: Division Facts: Seatwork

Using Multiplication facts can help you to divide. Multiplication and division are inverse operations.

72 ÷ 9 = _____ 32 ÷ 4 = _____ 54 ÷ 6 = _____

81 ÷ 9 = _____ 40 ÷ 5 = _____ 45 ÷ 9 = _____

64 ÷ 8 = _____ 24 ÷ 3 = _____ 63 ÷ 7 = _____

63 ÷ 9 = _____ 56 ÷ 8 = _____ 36 ÷ 4 = _____

35 ÷ 7 = _____ 88 ÷ 8 = _____ 72 ÷ 9 = _____

48 ÷ 6 = _____ 96 ÷ 8 = _____ 27 ÷ 9 = _____

56 = 6

3 = 42 = 2

7 =

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Page 22: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts8 7 6 9

Want to make your own division sign? Hold down the Alt key and then type 0247 on the numeric keypad and you will get a ÷

Is the quotient of 36 ÷ 4 greater than or less than the quotient of 36 ÷ 9? Explain.

Lesson 3-8: Division Facts: Homework

Using Multiplication facts can help you to divide. Multiplication and division are inverse operations.

72 ÷ 6 = _____ 36 ÷ 4 = _____ 24 ÷ 6 = _____

21 ÷ 7 = _____ 45 ÷ 5 = _____ 55 ÷ 9 = _____

54 ÷ 9 = _____ 27 ÷ 3 = _____ 35 ÷ 7 = _____

63 ÷ 7 = _____ 36 ÷ 4 = _____ 32 ÷ 4 = _____

32 ÷ 8 = _____ 48 ÷ 8 = _____ 63 ÷ 9 = _____

42 ÷ 6 = _____ 56 ÷ 8 = _____ 45 ÷ 9 = _____

48 = 3

5 = 24 = 3

6 =

8 7 6 9

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Page 23: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsA mustard pizza has 15 slices. Five people want to share the pizza. How many slices will each person get?

A large box of Cucumber cereal costs $3. How many boxes can you buy for $12?

Lesson 3-9 & 10: Division Facts: Seatwork

...if you have 0 pumpkins and you divide it by 3 people, how many

oranges do 3 people get?You can not divide zero into smaller parts. Therefore zero divided by any number is always zero.

Also remember that any number divided by one is that same number.

Directions: Read the problems and write a multiplication sentence for problem. Then solve each problem.

Tim goes out to lunch with Benny and Joan. The total bill came to 24 dollars. They decided to equally split up the bill, how much will each person have to pay?

Tom has 18 yellow balloons. He wants to give his six friends the same number of yellow balloons, how many will each friend get ?

Sandy was at the beach for five days and found 12 seashells. She plans to give all of her seashells equally to her four friends. How many seashells will each friend get ?

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Page 24: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

There were a total of 9 hockey games during the three month season. If the games are equally divided, how many hockey games are played a month ?

Tom, Fred, and Mike have 24 pencils all together. If the pencils are equally divided, how many will each person get ?

Mary has 15 dollars in five dollar bills. How many five dollars bills does she have ?

Lesson 3-9 & 10: Division Facts: Homework

...if you have 0 pumpkins and you divide it by 3 people, how many

oranges do 3 people get?You can not divide zero into smaller parts. Therefore zero divided by any number is always zero.

Also remember that any number divided by one is that same number.

Directions: Read the problems and write a multiplication sentence for problem. Then solve each problem.

Melanie goes out to lunch with Sara and Alyssa. The total bill came to 18 dollars.They decided to equally split up the bill, how much will each person have to pay?

A restaurant sold 21 hamburgers last week. How many hamburgers on average were sold each day ?

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Page 25: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsJason has 18 black balloons. He wants to give his six friends the same number of black balloons, how many will each friend get ?

Alyssa worked 15 hours in the last five days. Assuming that she worked the same amount of hours each day, how long did she work each day ?

Sally has 30 cents in her bank. How many nickels does Sally have ?

Fred has 42 candy bars. He wants to give his six friends the same number of green balloons, how many will each friend get ?

Lesson 3-11: Multi-stepped problems: SeatworkIndentifying hidden questions helps you to solve multiple stepped problems.

Tucker has 5 blue envelopes. He has 3 fewer yellow envelopes than blue envelopes. He has 3 times as many green envelopes as yellow envelopes. How many envelopes does Tucker have in all?

There are 4 bicycles and 13 cars in the garage at Sean's apartment building. How many wheels are there in the garage?

Sidney has 6 white buttons. She has 2 fewer brown buttons than white buttons. Sidney has 18 more gray

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Page 26: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Factsbuttons than brown buttons. How many buttons does Sidney have in all?

Ashlee saved $36 in September. She saved $10 in October and $32 in November. Then Ashlee spent $22 on a video game. How much money does Ashlee have left?

Lily and Kirsten had breakfast at a cafe. Muffins cost $3 each, and fruit cups cost $5 each. Lily had 1 muffin and 2 fruit cups. Kirsten had 2 muffins and 2 fruit cups. How much did their breakfast cost?

Lesson 3-11: Multi-stepped problems: Homework

Indentifying hidden questions helps you to solve multiple stepped problems.

Sara has 6 red beads, and she has 2 fewer yellow beads than red beads. Sara also has 5 more green beads than red beads. How many beads does Sara have in all?

The swimming club went to a swim meet in another town. They took 3 cars and 4 vans. There were 2 people in each car and 6 people in each van. How many people went on the trip?

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Page 27: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and FactsVivian wants to ride the bumper cars 5 times and the Ferris wheel 2 times. It costs 3 tickets to ride the bumper cars and 2 tickets to ride the Ferris wheel. How many tickets does Vivian need?

Charlie bought 9 books about plants and 1 book about fish. He also bought 2 science magazines. Each book cost $6 and each magazine cost $6. How much did Charlie spend in all?

In Ying's toy bin there are 24 red blocks. There are 17 more yellow blocks than red blocks. There are also 14 more blue blocks than red blocks. How many blocks are there in all?

Lesson 3-12: Evaluating Expressions: SeatworkSolve:

1 ) y= 3 6 ) y = 6(12 ÷ y) x 5 +10 (9 – 1) ÷ 4 x y

2 ) y = 3 7 ) y = 620 ÷ 4 – (1 + y) (16 – y) x (14 ÷ 2)

3 ) y = 4 8 ) y = 6

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Page 28: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

25 – (12 ÷ y) x 5 16 - 18 ÷ y + 6

4 ) y = 8 9 ) y = 1816 ÷ (4 x 4) + y 2 + y ÷ 2 - 1

5 ) y = 6 10 ) y = 74 + 12 ÷ 3 x y 2 + 4 x y - 9

Lesson 3-12: Evaluating Expressions: Homework

1 ) y = 8 6 ) y = 6(2 + y ) x 8 + 4 2 x y x ( 2 + 3 )

2 ) y = 6 7 ) y = 9(15 +17 ) ÷( y - 2 ) (13 +17 ) ÷( y - 3 )

3 ) y = 5 8 ) y = 8

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Page 29: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

(21 - 14 ) x 10 + y 3 x y x ( 10 - 10)

4 ) y = 2 9 ) y = 4(14 + 28 - 2 ) ÷ y (11 + 4 ) + 12 ÷ y

5 ) y = 4 10 ) y = 8(11 - y ) + 8 ÷ 2 (12 + 32 - 4 ) ÷ y

Lesson 3-13: Find a Rule: Seatwork

A Rule can tell how one quantity is related to another

Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)

IN OUT6 38

1216

RULE n ÷ 2

IN OUT5 356 4278

RULE n

IN OUT22 11

1220

4RULE n ÷ 2

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Page 30: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

IN OUT63 9494256

RULE n ÷

IN OUT2 8468

RULE n x 4

IN OUT49 7423528 4

RULE n

IN OUT2 246

367

RULE n x 12

IN OUT3612

818

RULE n ÷ 3

IN OUT2114354

RULE n ÷ 7

IN OUT11 441210 409

RULE n

IN OUT1 54 20

257

RULE n

IN OUT4 1656

32RULE n

Lesson 3-13: Find a Rule: HomeworkA Rule can tell how one quantity is related to another

Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)

IN OUT6 28

1216

RULE n ÷ 3IN OUT5 40

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Page 31: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

6 4878

RULE n

IN OUT9 18

127

4RULE n x

IN OUT63 04942 056

RULE n

IN OUT2 16468

RULE n x 8

IN OUT56 7483224 3

RULE n

IN OUT24 2

636

7RULE n ÷ 12

IN OUT32 412

116

RULE n ÷

IN OUT24332736

RULE n ÷ 3

IN OUT11 221210 209

RULE n

IN OUT11 114 4

257

RULE n

IN OUT8 1656

24RULE n x

Lesson 3-14: PLACE VALUE REVIEW SEATWORK

1) Round to the nearest tenth. 8.54 8.

_________________

2) Round to the nearest thousandth. 99.5926 100

_________________

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Page 32: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

3) Round to the nearest tenth. 310.286 310.3

_________________

4) Round to the nearest thousandth. 6.4233 6

_________________

5) Round to the nearest thousandth. 6.8056 7

_________________

6) Round to the nearest tenth. 9.725 9.7

_________________

7) Round to the nearest hundredth. 118.380

118.38_________________

8) Round to the nearest tenth. 90.69 90.7

_________________

9) Round to the nearest tenth. 65.85 65.9

_________________

10) Round to the nearest thousandth. 70.5929 71

_________________

11) Round to the nearest hundredth. 76.684 76.68

_________________

12) Round to the nearest hundredth. 815.755

815.7_________________6

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Page 33: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

13) Round to the nearest tenth. 877.71 877.7

_________________

14) Round to the nearest hundredth. 12.261 12.26

_________________

15) Round to the nearest thousandth. 16.4 16

_________________

16) Round to the nearest thousandth. 95.8161 96

_________________

17) Round to the nearest hundredth. 2.408 2.41

_________________

18) Round to the nearest hundredth. 3.993 3.99

_________________

19) Round to the nearest thousandth. 76.377 76

_________________

20) Round to the nearest hundredth. 716.514 716

_________________

Lesson 3-14: PLACE VALUE REVIEW HomeWORK

1) Round to the nearest hundredth. 416.424 416.

_________________2

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Page 34: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

2) Round to the nearest tenth. 8.68 8.7

_________________

3) Round to the nearest tenth. 9.641 9.

_________________

4) Round to the nearest tenth. 6.81 6.8

_________________

5) Round to the nearest thousandth. 3.5232 4

_________________

6) Round to the nearest hundredth. 44.522 44.

_________________5

7) Round to the nearest thousandth. 60.6278 61

_________________

8) Round to the nearest tenth. 55.757 55.8

_________________

9) Round to the nearest tenth. 4.510 4.5

_________________

10) Round to the nearest tenth. 53.27 53.3

_________________

11) Round to the nearest hundredth. 18.890 18.89

_________________

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Page 35: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

12) Round to the nearest thousandth. 44.3236 44

_________________

13) Round to the nearest hundredth. 140.132

140.1_________________3

14) Round to the nearest hundredth. 672.513 672.

_________________

15) Round to the nearest thousandth. 23.2325 23

_________________

16) Round to the nearest hundredth. 2.449 2.45

_________________

17) Round to the nearest thousandth. 799.7373 80

_________________0

18) Round to the nearest tenth. 33.75 33.8

_________________

19) Round to the nearest thousandth. 6.2448 6

_________________

20) Round to the nearest hundredth. 30.410 30.4

_________________

1 Lesson 3-14: PLACE VALUE REVIEW HomeWORK

Rounding Numbers

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Chapter 3 Multiplication and Division: Concepts and Facts

Remember Rounding means reducing the digits in a number while trying to keep its value similar. The result is less accurate, but easier to use.

Example: .73 rounded to the nearest tenth is .70, because .73 is closer to .70 than to .80.

Estimating is an important part of mathematics and a very handy tool for everyday life. Get in the habit of estimating amounts of money, lengths of time, distances, and many other physical quantities. Rounding off is a kind of estimating.

To round off decimals:

1. Find the place value you want (the "rounding digit") and look at the digit just to the right of it.

2. If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.

3. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.

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Page 37: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Still having trouble? Try the link below.

http://www.virtualnerd.com/middle-math/decimals/estimating/round-decimal-place-value-exampleStudy Guide for the end of unit test.

Write an addition sentence and a multiplication sentence for each picture

Do not solve! Name the property used. Choose from the following properties: Zero Property of Multiplication Commutative Property of Multiplication, Associative Property of Multiplication& Identity Property of Multiplication

1. 10 x 9 = 10 x 12 property used _____

2. 14 x 0 = 0 property used _____

3. 8 x 5 = 5 x 8 property used _____

4. 15 x 1 = 15 property used _____

5. (2 x 6) x 5 = (2 x 5) x 6 property used _____

37

____________________

____________________

____________________

Page 38: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Use the distributive property to solve the problems below.

21 x 6 = _______ 15 x 5 = _______22 = 20 + 1 so 15 = 10 + 5 so (20 x 6) + (2 x 6) = (10 x 5) + (5 x 5) = _______ (120) + (12) = _______ (50) + (25) = _______

29 x 9 = _______ 51 x 5 = _______

Look at the following problems. Label each term at dividend, divisor, or quotient.

56 ÷ 8 =7

________________ __________________________________

Solve using your times tables.

48 ÷ 6 = _____ 96 ÷ 8 = _____ 27 ÷ 9 = _____

40 = 2

8 = 36 = 3

6 =

8 7 6 4

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Page 39: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

Directions: Read the problems and write a math sentence for the problem. Then solve each problem.

Melanie goes out to lunch with Sara and Alyssa. The total bill came to 18 dollars.They decided to equally split up the bill, how much will each person have to pay?

There are 4 bicycles and 13 cars in the garage at Sean's apartment building. How many wheels are there in the garage?

Solve:

1 ) y=6 2 ) y = 4(12 ÷ y) x 4 +2 (5 – 1)

÷ 2 x y

Look at the tables below. Start with the number in the IN column. What rule tells you how to find the number in the OUT column? Find the rule and then complete each table. (n stands for the number in the in column)

IN OUT12 6141822

RULE n ÷ 2

39

Page 40: Lesson 3-1: Meanings for Multiplication: Seatwork · Web view4. 15 x 1 = 15 property used _____ 5. (2 x 6) x 5 = (2 x 5) x 6 property used _____ Use the distributive property to solve

Chapter 3 Multiplication and Division: Concepts and Facts

IN OUT7 496 4278

RULE n

1) Round to the nearest thousandth. 325.5357 416.

_________________2

2) Round to the nearest hundredth. 9.793 8.7

_________________

3) Round to the nearest tenth. 9.641 9.

_________________

AND DON’T FORGET TO STUDY YOUR TIMES TABLES!!!!!!!!

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