> 352 bjbjqq 4eenVXXXXXX$Ej||"VVNTB0QQQ$||Q : The structure of division problems
Partitive division problems
You have 24 cookies and want to share them equally with 6 people. How many cookies would each person get? 24 6 = 4 cookies
40 marbles are divided equally among 8 friends. How many marbles does each friend get?
You are reading a book with 120 pages. If you want to read the same number of pages each night, how many would you have to read each night to finish in 10 days? 120 10 = 12 pages (sharing the pages equally among the nights)
A class is taking a field trip. There are 30 students in the class. 6 parents volunteer to drive. How many students have to fit in each car? (sharing the students equally among the cars)
Measurement division problems
A cereal box holds 18 cups of cereal. Each serving is 2 cups. How many servings are in the whole box? 18 2 = 9 servings (The question can be restated as How many times does 2 go into 18?)
An airplane hangar is 300 feet long. How many planes can fit into it, end to end, if each plane is 50 feet long? 300 50 = 6 planes
A box of books weighs 42 pounds. Each book weights 3 pounds. How many books are there in the box? 42 3 = 14 books (How many things of 3 pounds each are there in 42 pounds?)
Sues mother made 75 cookies. She put the cookies in bags, with 3 cookies in each bag. How many bags could she fill up?
Remainder problems
The remainder means an extra is needed
20 people are going to a movie. 6 people can ride in each car. How many cars are needed to get all 20 people to the movie?
The remainer is simply left over and not taken into account (ignored)
It takes 3 eggs to make a cake. How many cakes can you make with 17 eggs?
The remainder is the answer to the problem
Ms. Baker has 17 cupcakes. She wants to share them equally among her 3 children so that no one gets more than anyone else. If she gives each child as many cupcakes as possible, how many cupcakes will be left over for Ms. Baker to eat?
The answer includes a fractional part
9 cookies are being shared equally among 4 people. How much does each person get?
Problems need to be used over and over to develop meaning of remainders. Develop meaning for the shift from remainders to fractional parts.
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