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CHAPTER 2
Divide by 1-Digit Divisors
Chapter 2: Vocabulary Words
   Compatible numbers – numbers that are easy
    to compute with mentally
   Estimate – to find a number that is close to the
    exact number
Chapter 2 Lesson 1
                Patterns in Division
   Unlock the Problem
Problem Solving pg. 47
Use the sign to solve 16 - 17


16. A summer camp paid $560 for a group of 15-
  year-olds to ride the tram. How many tickets
  did the camp buy?

Cost of tickets for a 15-year old? ____

Division problem: ___ ÷ ___ = ___
Problem Solving pg. 47
Use the sign to solve 16 - 17


17. Fae paid $280 for youth tickets and $90 for
  children’s tickets. How many of each kind of
  ticket did Fae buy?

Cost of youth ticket? ___ Cost of children’s? ___

Division problem:
Connect to Science
Write Math - Journal

 Explain why there is one more zero in
 the dividend than in the quotient when
 you find 40,000 ÷ 5.
Chapter 2 Lesson 2
  Methods of Division with 1-Digit Divisors
Use partial quotients
  - underline what is being asked
  - circle the information needed to solve the problem


  There are 4 students at each table in the cafeteria. If there are 128
  students sitting at the tables, how many tables are in the cafeteria?
                            Divide: 128 ÷ 4




So there are ___ tables in the cafeteria.
Use the Distributive Property




   Explain why you can write the dividend using a different set of
    addends and still have the same quotient?
Problem Solving pg. 52
Use the table to solve 21 - 23


21. Ross’s school is collecting food for the
  community food bank. Ross and his
  classmates each collected 9 items. How
  many students are in Ross’s class?

Divide & Check:
Problem Solving pg. 52
Use the table to solve 21 - 23


23. In Aidan’s class each student collected one
  less item than Emma’s class. How many
  items did each student in Aidan’s class
  collect? How many students are in Aidan’s
  class?
***hint*** look at questions 22 for additional information

Divide & check
Write Math - Journal

 Explain how to use the Distributive
 Property to find 819 ÷ 9.
Chapter 2 Lesson 3
        Estimate with 1-Digit Divisors
   Compatible numbers – numbers that are easy to compute with
    mentally
   A horse’s heart beats 132 times in 3 minutes.
    About how many times does it beat in 1
    minute.
   Estimate: 132 ÷ 3
     Step 1: Find a number close to 132 that is easily divided by 3
      example: 120 ÷ 3
     Step 2: Use a basic fact and a pattern to divide by 3

      120 ÷ 3 = 4                120 ÷ 3 = 40
    So, a horse’s heart beats about ___ times in minute.
Try This! pg. 53
   Use compatible numbers
Problem Solving pg. 55
Use the table to solve 24 - 27


24. About how many times does a chicken’s
  heart beat in 1 minute?

25. About how many times does a cow’s heart
  beat in 2 minutes?

26. About how many times faster does a cow’s
  heart beat than a whale?
Connect to Reading pg.56
Write Math - Journal
   How can you use compatible numbers
    to estimate quotients?
Chapter 2 Lesson 4
                Model 3-Digit Division
   Investigate
   Complete with a partner
       Materials: base-ten blocks,
          Go Math! pg. 57
Draw a quick picture
use base-ten blocks if needed

   Find 137 ÷ 4
Problem Solving pg. 60 What’s the error?
Write Math – Journal
   How can you use base-ten blocks to
    model division of a 3-digit dividend by
    a 1-digit divisor?
Chapter 2 Lesson 5
               Place the First Digit
   Unlock the Problem
Example:
   Divide: 4236 ÷ 5
Unlock the Problem pg. 66
   Rosa has 125 daisy plants. If she plants an
    equal number in each daisy section, will she
    have any left over? If so, how many plants will
    be left over?




   Rosa has ___ daisy plants. She puts an equal number in each
    of ___ sections. Each section has ___ plants. Rosa has ___
    daisy plants left over.
Write Math - Journal
   How can you tell where to place the
    first digit of a quotient without dividing?
Chapter 2 Lesson 6
            Interpret the Remainder
   There are 3 ways to interpret the remainder of
    a division problem.
       Drop the remainder – if the questions asks for the
        exact amount in each group.
       Add 1 to the quotient – if the entire dividend
        needs to be accounted for.
       Use the remainder as the answer – if the question
        asks how many are left.
Drop the remainder
5. A campground has cabins that can each hold
  6 campers. There are 148 campers visiting
  the campground. How many cabins are full if
  6 campers are in each cabin?
Add 1 to the quotient
Problem Solving pg. 70 #9



  Mr. Field wants to give each of his 36 campers
  a certificate for completing an obstacle course.
   If there are 8 certificates in one package, how
  many packages will Mr. Field need?
Use the remainder
6. A total of 123 fifth-grader students are going
  to Suwanee River State Park. Each minivan
  holds 7 students. All of the minivans are full
  except one. How many students will be in the
  van that is not full?
Write the remainder as a fraction
            and as a decimal.
   Example pg. 68
Write the remainder as a fraction
         and as a decimal.
4. A group of 4 girls go to a bakery after school.
  The girls share 14 cookies equally among
  them. How many cookies did each girl eat?

10. James has 442 feet of rope. There are 6
  teams of hikers. If James gives an equal
  amount of rope to each group, how much rope
  will they each receive?
Write Math - Journal
   How do you use the remainder to
    solve a division problem?
Chapter 2 Lesson 7
           Divide by 1-Digit Divisors
   Jenna’s family is planning a trip to Jamestown, California. The
    family will start in Jacksonville, FL, to travel 2,754 miles over 9
    days. If the family travels an equal number of miles each day, how
    far will each day’s travel be?
Divide: 2,754 ÷ 9                                 Check:
                                   9 2754




So, Jenna’s family will travel ___ miles each day.
Try This! Divide - write the remainder as
a decimal
Problem Solving pg. 74
Use the table to solve 19 - 20


19. If the Welcome gold nugget turned into 3
  equal-sized gold bricks, how many troy
  ounces would each brick weigh?
Problem Solving pg. 74
21. There are 246 students going on a field trip
  to pan for gold. If each van holds 9 students,
  how many vans are needed if all but the last
  van is filled? How many students will ride in
  the van that isn’t full?




They will need ___ full vans. There will be ___ students in the last van.
Write Math - Journal
   How do you solve and check a division
    problem?
Chapter 2 Lesson 8
                Draw a Diagram
   Sean and his family chartered a fishing boat for the
    day. Sean fished for six hours and caught a white
    marlin and an amberjack. The white marlin weighed
    four times as much as the amberjack. Sean caught a
    total of 145 pounds of fish. How much did each fish
    weigh?
   Important information:




    So, the amberjack weighed ___ pounds and the white marlin
    weighed ___ pounds.
Draw a diagram
 use the table to solve 4 - 7


2. What if the tarpon weighed 3 times as much as the
   permit fish and the total weight of the two fish was 108
   pounds? How much would each fish weigh?
Important information:
Diagram:




There was ____ pounds of permit fish & ____ pounds of tarpon.
Draw a diagram pg. 78
use the table to solve 4 - 7


4. Kevin is starting a saltwater aquarium witch 15
  fish. He wants to start with twice as many
  damselfish as clown fish. How many of each fish
  will Kevin buy? How much will he pay for the
  fish?
Important information:
Diagram:




Kevin will buy ___ damselfish and ___ clownfish. He will spend a total of $___.
Draw a diagram pg. 78
use the table to solve 4 - 7


5. Kevin used a store coupon to buy a 40-gallon
  tank, an aquarium light, and a filtration system.
   He paid a total of $240. How much did Kevin
  save by using the coupon?
Important Information:
Diagram:




Kevin saved $___ by using his coupon.
Write Math - Journal
   How can the strategy d ra w a d ia g ra m
    help you solve the division problem?
Chapter 2 - Review

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Math chapter 2

  • 1. CHAPTER 2 Divide by 1-Digit Divisors
  • 2. Chapter 2: Vocabulary Words  Compatible numbers – numbers that are easy to compute with mentally  Estimate – to find a number that is close to the exact number
  • 3. Chapter 2 Lesson 1 Patterns in Division  Unlock the Problem
  • 4. Problem Solving pg. 47 Use the sign to solve 16 - 17 16. A summer camp paid $560 for a group of 15- year-olds to ride the tram. How many tickets did the camp buy? Cost of tickets for a 15-year old? ____ Division problem: ___ ÷ ___ = ___
  • 5. Problem Solving pg. 47 Use the sign to solve 16 - 17 17. Fae paid $280 for youth tickets and $90 for children’s tickets. How many of each kind of ticket did Fae buy? Cost of youth ticket? ___ Cost of children’s? ___ Division problem:
  • 7. Write Math - Journal Explain why there is one more zero in the dividend than in the quotient when you find 40,000 ÷ 5.
  • 8. Chapter 2 Lesson 2 Methods of Division with 1-Digit Divisors Use partial quotients - underline what is being asked - circle the information needed to solve the problem There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria? Divide: 128 ÷ 4 So there are ___ tables in the cafeteria.
  • 9. Use the Distributive Property  Explain why you can write the dividend using a different set of addends and still have the same quotient?
  • 10. Problem Solving pg. 52 Use the table to solve 21 - 23 21. Ross’s school is collecting food for the community food bank. Ross and his classmates each collected 9 items. How many students are in Ross’s class? Divide & Check:
  • 11. Problem Solving pg. 52 Use the table to solve 21 - 23 23. In Aidan’s class each student collected one less item than Emma’s class. How many items did each student in Aidan’s class collect? How many students are in Aidan’s class? ***hint*** look at questions 22 for additional information Divide & check
  • 12. Write Math - Journal Explain how to use the Distributive Property to find 819 ÷ 9.
  • 13. Chapter 2 Lesson 3 Estimate with 1-Digit Divisors  Compatible numbers – numbers that are easy to compute with mentally  A horse’s heart beats 132 times in 3 minutes. About how many times does it beat in 1 minute.  Estimate: 132 ÷ 3  Step 1: Find a number close to 132 that is easily divided by 3 example: 120 ÷ 3  Step 2: Use a basic fact and a pattern to divide by 3 120 ÷ 3 = 4 120 ÷ 3 = 40 So, a horse’s heart beats about ___ times in minute.
  • 14. Try This! pg. 53  Use compatible numbers
  • 15. Problem Solving pg. 55 Use the table to solve 24 - 27 24. About how many times does a chicken’s heart beat in 1 minute? 25. About how many times does a cow’s heart beat in 2 minutes? 26. About how many times faster does a cow’s heart beat than a whale?
  • 17. Write Math - Journal  How can you use compatible numbers to estimate quotients?
  • 18. Chapter 2 Lesson 4 Model 3-Digit Division  Investigate  Complete with a partner  Materials: base-ten blocks, Go Math! pg. 57
  • 19. Draw a quick picture use base-ten blocks if needed  Find 137 ÷ 4
  • 20. Problem Solving pg. 60 What’s the error?
  • 21. Write Math – Journal  How can you use base-ten blocks to model division of a 3-digit dividend by a 1-digit divisor?
  • 22. Chapter 2 Lesson 5 Place the First Digit  Unlock the Problem
  • 23. Example:  Divide: 4236 ÷ 5
  • 24. Unlock the Problem pg. 66  Rosa has 125 daisy plants. If she plants an equal number in each daisy section, will she have any left over? If so, how many plants will be left over?  Rosa has ___ daisy plants. She puts an equal number in each of ___ sections. Each section has ___ plants. Rosa has ___ daisy plants left over.
  • 25. Write Math - Journal  How can you tell where to place the first digit of a quotient without dividing?
  • 26. Chapter 2 Lesson 6 Interpret the Remainder  There are 3 ways to interpret the remainder of a division problem.  Drop the remainder – if the questions asks for the exact amount in each group.  Add 1 to the quotient – if the entire dividend needs to be accounted for.  Use the remainder as the answer – if the question asks how many are left.
  • 27. Drop the remainder 5. A campground has cabins that can each hold 6 campers. There are 148 campers visiting the campground. How many cabins are full if 6 campers are in each cabin?
  • 28. Add 1 to the quotient Problem Solving pg. 70 #9 Mr. Field wants to give each of his 36 campers a certificate for completing an obstacle course. If there are 8 certificates in one package, how many packages will Mr. Field need?
  • 29. Use the remainder 6. A total of 123 fifth-grader students are going to Suwanee River State Park. Each minivan holds 7 students. All of the minivans are full except one. How many students will be in the van that is not full?
  • 30. Write the remainder as a fraction and as a decimal.  Example pg. 68
  • 31. Write the remainder as a fraction and as a decimal. 4. A group of 4 girls go to a bakery after school. The girls share 14 cookies equally among them. How many cookies did each girl eat? 10. James has 442 feet of rope. There are 6 teams of hikers. If James gives an equal amount of rope to each group, how much rope will they each receive?
  • 32. Write Math - Journal  How do you use the remainder to solve a division problem?
  • 33. Chapter 2 Lesson 7 Divide by 1-Digit Divisors  Jenna’s family is planning a trip to Jamestown, California. The family will start in Jacksonville, FL, to travel 2,754 miles over 9 days. If the family travels an equal number of miles each day, how far will each day’s travel be? Divide: 2,754 ÷ 9 Check: 9 2754 So, Jenna’s family will travel ___ miles each day.
  • 34. Try This! Divide - write the remainder as a decimal
  • 35. Problem Solving pg. 74 Use the table to solve 19 - 20 19. If the Welcome gold nugget turned into 3 equal-sized gold bricks, how many troy ounces would each brick weigh?
  • 36. Problem Solving pg. 74 21. There are 246 students going on a field trip to pan for gold. If each van holds 9 students, how many vans are needed if all but the last van is filled? How many students will ride in the van that isn’t full? They will need ___ full vans. There will be ___ students in the last van.
  • 37. Write Math - Journal  How do you solve and check a division problem?
  • 38. Chapter 2 Lesson 8 Draw a Diagram  Sean and his family chartered a fishing boat for the day. Sean fished for six hours and caught a white marlin and an amberjack. The white marlin weighed four times as much as the amberjack. Sean caught a total of 145 pounds of fish. How much did each fish weigh?  Important information: So, the amberjack weighed ___ pounds and the white marlin weighed ___ pounds.
  • 39. Draw a diagram use the table to solve 4 - 7 2. What if the tarpon weighed 3 times as much as the permit fish and the total weight of the two fish was 108 pounds? How much would each fish weigh? Important information: Diagram: There was ____ pounds of permit fish & ____ pounds of tarpon.
  • 40. Draw a diagram pg. 78 use the table to solve 4 - 7 4. Kevin is starting a saltwater aquarium witch 15 fish. He wants to start with twice as many damselfish as clown fish. How many of each fish will Kevin buy? How much will he pay for the fish? Important information: Diagram: Kevin will buy ___ damselfish and ___ clownfish. He will spend a total of $___.
  • 41. Draw a diagram pg. 78 use the table to solve 4 - 7 5. Kevin used a store coupon to buy a 40-gallon tank, an aquarium light, and a filtration system. He paid a total of $240. How much did Kevin save by using the coupon? Important Information: Diagram: Kevin saved $___ by using his coupon.
  • 42. Write Math - Journal  How can the strategy d ra w a d ia g ra m help you solve the division problem?
  • 43. Chapter 2 - Review