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Division A way to introduce and practice division number stories Lets review some key vocabulary to warm up. QUOTIENT The answer to a division problem REMAINDER 24 R 4 5 124 The number left over after a quotient is found DIVIDEND DIVISOR The number you are dividing by The number being divided 4 ways to represent division problems 12 246 246 12 246 / 12 246 12 Let’s try some problems together! Division Problems & Fact Families Friends Cookies per friend Cookies in all Division Story: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” Division Problems & Fact Families Friends Cookies per friend 8 Think Aloud: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” Cookies in all 56 Whoa! That looks like a fact family! Division Problems & Fact Families Friends Cookies per friend 8 If you know your fact families, small division problems like this one can be easy. Cookies in all 56 Think Aloud: “8 times ? equals 56.” 8 x ? = 56 Division Problems & Fact Families Friends Cookies per friend Cookies in all 8 7 56 ? x 8 = 56 Think Aloud: 8 x 7 = 56 8 x ? = 56 56 8 = ? 56 ? = 8 8 7 56 Let’s try another problem together! Division Problems & Fact Families Tables Students per table students in all Division Story: “There are 33 students. Each table can seat 6 students. How many tables are needed?” Division Problems & Fact Families Tables Think Aloud: “There are 33 students. Each table can seat 6 students. How many tables are needed?” Students per table students in all 6 33 6 33 This is similar to a fact family, but not exact. Division Problems & Fact Families Tables Students per table students in all 6 33 Think Aloud: “I need to squish 6 into 3 (no fractions allowed). That won’t work so I’ll put a place holder on top.” 6 33 Division Problems & Fact Families Tables Think Aloud: “6 x 5 = 30. That’s close to 33!” I put the 5 next to the place holder. The 30 goes below the 33. Students per table students in all 6 33 5 6 33 30 Division Problems & Fact Families Tables Students per table students in all 6 33 Think Aloud: “Now I subtract” 33 – 30 = 3 5 6 33 - 30 3 Division Problems & Fact Families Tables Students per table students in all 6 6 33 This is not my final answer. 5 R3 REMEMBER, THE QUESTION ASKED: “How many tables are needed?” I need 6 tables to fit all 33 students! 5 tables with 3 students left over! Ready for a challenge! How to Solve a Division Problem 5 124 Whoa! Those are really large numbers, lets take it one step at a time. Think Aloud: “I have one hundred twenty four cookies and five friends, how many whole cookies can each friend have?” How to Solve a Division Problem 5 124 Think Aloud: “I have one cookie and five friends, how many whole cookies can each friend have?” Sadly, I don’t have enough cookies. How to Solve a Division Problem 5 124 Because I don’t have enough cookies to share I have to put the cookie on the shelf. The cookie becomes my place holder. How to Solve a Division Problem 5 124 Think Aloud: “I have twelve cookie and five friends, how many whole cookies can each friend have?” Each friend can have 2 cookies ( 5 x 2 = 10) How to Solve a Division Problem 2 5 124 10 2 x 5 = 10 The 2 is placed above the 2 in the dividend. 10 is written below the 12. Neatness is important! How to Solve a Division Problem 2 5 124 - 10 2 Now subtract 12 – 10. 12 – 10 = 2 How to Solve a Division Problem 2 5 124 - 10 24 Bring down the 4 next to the 2. How to Solve a Division Problem 2 5 124 - 10 24 Now I have another cookie story to ask myself. “I have twenty four cookies and five friends, how many whole cookies can each friend have?” Each friend can have 4 cookies. ( 5 x 4 = 20) How to Solve a Division Problem 24 5 124 - 10 24 20 5 x 4 = 20 The 4 is placed above the 4 in the dividend. 20 is written below the 24. Neatness is important! How to Solve a Division Problem 24 5 124 - 10 24 - 20 4 Now subtract 24 – 20. 24 – 20 = 4 How to Solve a Division Problem 24 5 124 - 10 24 - 20 4 R4 Think Aloud: “I have no more friends to share my five cookies with.” “I have 4 cookies left over.” How to Solve a Division Problem 24 5 124 - 10 24 - 20 4 R4 My final answer is: 24 R 4 When I share my 124 cookies with my five friends, each friend will get 24 cookies. I will have 4 cookies left over. Try some of these on your own! Practice Problems 1. 4. 2 18 2. 7 50 5. 3 29 3. 4 612 6. 5 430 6 200 Practice Problem Answers 1. 9 2 18 4. 7 R1 7 50 2. 9 R2 3 29 5. 153 4 612 3. 86 5 430 6. 6 33 R 2 200