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## Division 101

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**Division 101**Kristi Walker 4th Grade**Today you will need:**• Pencil • Paper • White Board • Dry Erase Marker • Multiplication Table**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.**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.**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?**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:**Words To Know:**• Dividend • Divisor • Quotient • Remainder**Dividend:**The number that is being divided. Examples: 3 18 18 3**Divisor:**The number by which the dividend is being divided. Examples: 3 18 18 3**Quotient:**The answer to a division problem. Examples: 6 3 18 183 6**Remainder:**The number that is left over after one whole number is divided by another. Example: 6 R 2 3 20**9**6 54 Label this diagram:**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**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!**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!**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**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 = _____**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:**Inverse Operations**Multiplication and Division are Inverse Operations! This means that they “un-do” each other**Quick Check…**• When you hear the Magic Word, take 30 seconds to tell your neighbor what it is that we are learning today….**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?**Lets do another:**7 7 49**Lets do another:**12 4 48**You Practice On Your Notes:**7 3 5 4 2 7 35 12 18 56 9 8**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**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?”**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?”**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.**Put Your Thinking Caps On…**• Can we have division without multiplication? Why or Why not?**What did we learn today?**Write it down…. We learned how to divide whole numbers that have one-digit divisors.**Let’s Share…**You tell me some real-life situations that you might need to know how to divide.**Independent Practice:**Complete Division Worksheet**Show me what you learned:**Part One: Part Two: 8 48 What would happen if you swapped the dividend and the divisor? Why?**Homework:**Complete Division Facts Worksheet**Long Division**Long division is as simple as memorizing the members of the “Division Family.” Dad Mom Sister Brother Rover**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**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.**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.**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.**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.**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.**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.**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.**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**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**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**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.