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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 The number left over after a quotient is found. 24 R 4. 5. 124. DIVIDEND The number being divided. DIVISOR
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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 The number left over after a quotient is found 24 R 4 5 124 DIVIDEND The number being divided DIVISOR The number you are dividing by
4 ways to represent division problems 12 246 246 12 246 / 12 246 12
Division Story: “I have 56 cookies and 8 friends, how many whole cookies can eachfriend have?” Division Problems & Fact Families
Think Aloud: “I have 56 cookies and 8 friends, how many whole cookies can eachfriend have?” Whoa! That looks like a fact family! Division Problems & Fact Families
If you know your fact families, small division problems like this one can be easy. Think Aloud: “8 times ? equals 56.” 8 x ? = 56 Division Problems & Fact Families
Think Aloud: 8 x 7 = 56 7 8 56 Division Problems & Fact Families • ? x 8 = 56 • x ? = 56 • 8 = ? • 56 ? = 8
Division Story: “There are 33 students. Each table can seat 6 students. How many tables are needed?” Division Problems & Fact Families
Think Aloud: “There are 33 students. Each tablecan seat6 students. How many tables are needed?” Division Problems & Fact Families 633 This is similar to a fact family, but not exact.
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.” Division Problems & Fact Families 633
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. Division Problems & Fact Families 5 6 33 30
Think Aloud: “Now I subtract” 33 – 30 = 3 Division Problems & Fact Families 5 6 33 - 30 3
REMEMBER, THE QUESTION ASKED: “How many tables are needed?” I need 6 tables to fit all 33 students! Division Problems & Fact Families This is not my final answer. 5 R 3 5 tables with 3 students left over!
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
5124 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
5124 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
5124 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
2 4 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
2 4 5 124 - 10 24 - 20 4 Now subtract 24 – 20. 24 – 20 = 4 How to Solve a Division Problem
2 4 R 4 5 124 - 10 24 - 20 4 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
2 4 R 4 5124 - 10 24 - 20 4 My final answer is: 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. How to Solve a Division Problem
1. 2 18 3 29 3. 5 430 4. 7 50 5. 4 612 6. 6 200 Practice Problems
1. 9 2 18 9 R 2 3 29 3. 86 5 430 4. 7 R 1 7 50 5. 153 4 612 6. 33 R 2 6 200 Practice Problem Answers