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Division 101

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  1. Division 101 Kristi Walker 4th Grade

  2. Today you will need: • Pencil • Paper • White Board • Dry Erase Marker • Multiplication Table

  3. What are we going to learn today? The state of Tennessee says: SPI 406.2.1: Solve problems using whole number division with one- or two-digit divisors.

  4. What are we going to learn today? HUH?

  5. What are we going to learn today? The state of TN is using fancy words to say this… We are going to learn how many times a one-digit number will fit into another number. This process is known as division.

  6. When would I ever need to know that? Tonight for dinner your Mom and Dad are going to order a pizza for you, your little brother, and them to eat. The pizza has 8 pieces. How many pieces would each of you get if everyone gets the same number of pieces?

  7. Lets look at another example: I have a basket of 20 apples that I picked from my apple tree in the back yard. I would like to give 5 of my closest friends some of my apples. I want to give them all the same number of apples because I do not want to hurt any of their feelings. How many apples will each friend get? Ella: Brock: Lexie: Dillon: Knox:

  8. Words To Know: • Dividend • Divisor • Quotient • Remainder

  9. Dividend: The number that is being divided. Examples: 3 18 18 3

  10. Divisor: The number by which the dividend is being divided. Examples: 3 18 18 3

  11. Quotient: The answer to a division problem. Examples: 6 3 18 183 6

  12. Remainder: The number that is left over after one whole number is divided by another. Example: 6 R 2 3 20

  13. 9 6 54 Label this diagram:

  14. Division Rules: • When you divide zero by any number other than zero the quotient will be zero. Example: 0 ÷ 5 = 0 How many cookies can 5 people have if there are zero cookies? 0 cookies divided among 5 people = 0 cookies each

  15. Division Rules: • It is not possible to divide a number by zero. Example: 5 ÷ 0 = Impossible How many cookies can 0 people have if there are 5 cookies? That is impossible to do!

  16. Division Rules: • When you divide any number by 1 the quotient will always be the dividend. Example: 8 ÷ 1 = 8 I have a pie that has 8 slices. I am the only one there to eat it. How many slices could I eat? 8 slices divided among 1 person = 8 slices for me!

  17. Division Rules: • When you divide any number by itself the quotient will always be 1. (Except zero!) Example: 9 ÷ 9 = 1 There are 9 people at the party. There are 9 party favors. How many party favors will each guest get? 9 favors divided among 9 people = 1 favor each

  18. Lets Practice: Answer these division problems on your white boards using what we have just learned about the rules of division. • 42 ÷ 0 = _____ • 56 ÷ 56 = _____ • 0 ÷ 31 = _____ • 15 ÷ 1 = _____

  19. How are Division and Multiplication connected? Think back to our original basket of apples…. We decided that 5 people would each have 4 apples. Ella: 5 = 4 and 4 5 = 20 Brock: Lexie: Dillon: Knox:

  20. Inverse Operations Multiplication and Division are Inverse Operations! This means that they “un-do” each other

  21. Quick Check… • When you hear the Magic Word, take 30 seconds to tell your neighbor what it is that we are learning today….

  22. Using Multiplication to Solve Division: 8 9 72 • Look across the top row of your multiplication chart until you find the divisor. • Follow that column down until you find the dividend. • Follow that row to the far left to find the quotient. What is the answer?

  23. Lets do another: 7 7 49

  24. Lets do another: 12 4 48

  25. You Practice On Your Notes: 7 3 5 4 2 7 35 12 18 56 9 8

  26. Game Time!!!!!

  27. Word Problem Practice: The local baseball team has 54 baseballs available to play 9 games. How many balls are available for each game? 9 54 What information in the problem do I need to know to solve it? What information is “fluff?” 6

  28. Word Problem Practice: Which operation do we use? Medina Middle School students recently sold candy bars to raise money for the school. Each box of candy was worth $50. Mrs. Chelsea had 18 students sell a box of candy, Mrs. Carter had 14, and Mrs. Walker had 22. How much money did Mrs. Carter’s class raise? Multiplication! What information in the problem do I need to know to solve it? What information is “fluff?”

  29. Word Problem Practice: Which operation do we use? I have one dozen candy bars and half a dozen cookies. There are 4 students that have earned a reward for displaying good citizenship at school and 6 students who earned a reward for making an A on their math test. If I want to give all my candy bars to the students who made and “A,” how many candy bars will each one get? Division! What information in the problem do I need to know to solve it? What information is “fluff?”

  30. Word Problem Practice Write your own word problem that requires the use of division to solve. Swap papers with a neighbor and solve their problem. Swap back and check their work.

  31. Put Your Thinking Caps On… • Can we have division without multiplication? Why or Why not?

  32. What did we learn today? Write it down…. We learned how to divide whole numbers that have one-digit divisors.

  33. Let’s Share… You tell me some real-life situations that you might need to know how to divide.

  34. Independent Practice: Complete Division Worksheet

  35. Show me what you learned: Part One: Part Two: 8 48 What would happen if you swapped the dividend and the divisor? Why?

  36. Homework: Complete Division Facts Worksheet

  37. Long Division Long division is as simple as memorizing the members of the “Division Family.” Dad Mom Sister Brother Rover

  38. Each person represents a step in the long division process. Sister Dad Mom 3. Subtract 1. Divide 2. Multiply Brother Rover 4. Bring down 5. Repeat or Remainder

  39. Step 1 in Long Division 4 1. Divide • Divide 2 into first number in the dividend. 2 ) 9 4 Dad How many 2’s will go into 9? • Think how many 2’s will fit into 9. • Write that number directly above the number you divided into.

  40. Step 2 in Long Division 4 2. Multiply • Multiply the divisor times the first number in the quotient. 2 ) 9 4 Mom 8 2 x 4 = 8 • Write your answer directly under the 9 or the number you just divided into.

  41. Step 3 in Long Division 4 3. Subtract • Draw a line under the 8. 2 ) 9 4 Sister 8 • Write a subtraction sign next to the 8. 1 • Subtract 8 from 9. • Write your answer directly below the 8.

  42. Step 4 in Long Division 4 4. Bring down • Go to the next number in the dividend to the right of the 9. 2 ) 9 4 Brother 8 1 4 • Write an arrow under the 4. • Bring the 4 down next to the 1.

  43. Step 5 in Long Division 4 5. Repeat or Remainder • This is where you decide whether you repeat the 5 steps of division. 2 ) 9 4 Rover 8 1 4 • If your divisor can divide into your new number, 14, or if you have numbers in the dividend that have not been brought down, you repeat the 5 steps of division.

  44. Step 1 in Long Division 4 7 1. Divide • Divide 2 into your new number, 14. 2 ) 9 4 Dad 8 1 4 • Place your answer directly above the 4 in your quotient.

  45. Step 2 in Long Division 4 7 2. Multiply • Multiply your divisor, 2, with your new number in the quotient, 7. 2 ) 9 4 Mom 8 1 4 1 4 • Place your answer directly under the 14.

  46. Step 3 in Long Division 4 7 3. Subtract • Draw a line under the bottom 14. 2 ) 9 4 Sister 8 1 4 • Draw a subtraction sign. 1 4 • Subtract & place answer under the line. 0

  47. Step 4 in Long Division 4 7 4. Bring down • We do not have any more numbers to bring down from the dividend so we can go to the next step. 2 ) 9 4 Brother 8 1 4 1 4 0

  48. Step 5 in Long Division 4 7 5. Repeat or Remainder • Don’t need to repeat because the new number is less than the divisor. 2 ) 9 4 Rover 8 1 4 1 4 0

  49. Lets try another… 1 1. Divide • Divide 5 into first number in the dividend. 5 ) 65 Dad How many 5’s will go into 6? • Think how many 5’s will fit into 6. • Write that number directly above the number you divided into.