Division A way to introduce and practice division number stories
Lets review some key vocabulary to warm up R 4 REMAINDER The number left over after a quotient is found DIVIDEND The number being divided DIVISOR The number you are dividing by QUOTIENT The answer to a division problem
4 ways to represent division problems /
Let’s try some problems together!
Division Problems & Fact Families Division Story: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” FriendsCookies per friendCookies in all
Division Problems & Fact Families Think Aloud: “I have 56 cookies and 8 friends, how many whole cookies can each friend have?” Whoa! That looks like a fact family! FriendsCookies per friendCookies in all 856
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 FriendsCookies per friendCookies in all 856
Division Problems & Fact Families Think Aloud: 8 x 7 = FriendsCookies per friendCookies in all 8756 ? x 8 = 56 8x ? = = ? 56 ? = 8
Let’s try another problem together!
Division Problems & Fact Families Division Story: “There are 33 students. Each table can seat 6 students. How many tables are needed?” TablesStudents per tablestudents in all
Division Problems & Fact Families Think Aloud: “There are 33 students. Each table can seat 6 students. How many tables are needed?” TablesStudents per tablestudents in all This is similar to a fact family, but not exact.
Division Problems & Fact Families 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.” TablesStudents per tablestudents in all
Division Problems & Fact Families 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. TablesStudents per tablestudents in all
Division Problems & Fact Families Think Aloud: “Now I subtract” 33 – 30 = 3 TablesStudents per tablestudents in all
Division Problems & Fact Families REMEMBER, THE QUESTION ASKED: “How many tables are needed?” I need 6 tables to fit all 33 students! TablesStudents per tablestudents in all tables with 3 students left over! 5 R 3This is not my final answer.
Ready for a challenge!
How to Solve a Division Problem 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 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 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 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 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 Now subtract 12 – – 10 = 2
How to Solve a Division Problem Bring down the 4 next to the 2.
How to Solve a Division Problem 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 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 Now subtract 24 – – 20 = 4
How to Solve a Division Problem 2 4 R 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 My final answer is: 24R 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
Practice Problem Answers R R R