THE BIG IDEAS OF MULTIPLICATION AND DIVISION

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THE BIG IDEAS OF MULTIPLICATIONANDDIVISION
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WHAT IS MULTIPLICATION?WHEN DO WE USE
MULTIPLICATION?
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WHAT IS MULTIPLICATION?WHEN DO WE USE
MULTIPLICATION?

• To find the total in a number of equal groups
  a quick way to add

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• There are 4 children at a table. They each have 3
  cookies. How many cookies do they have in all?

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• There are 4 children at a table. They each have 3
  cookies. How many cookies do they have in all?

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• In our classroom there are 3 rows of desks.
  Each row has 5 desks. How many desks are there?

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• In our classroom there are 3 rows of desks.
  Each row has 5 desks. How many desks are there?

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• In our classroom there are 3 rows of desks.
  Each row has 5 desks. How many desks are there?

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• 3 x 5 15

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• 5
• 3
• 3 X 5 15 sq units

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y x
ALGEBRA
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• We are going on a trip. It will take four hours
  if we drive at 60 miles per hour. How far will we
  drive?

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• We are going on a trip. It will take four hours
  if we drive at 60 miles per hour. How far will we
  drive?

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• We are going on a trip. It will take 4 hours if
  we drive at 60 miles per hour. How far will we
  drive?
• 60 60 60 60
• 4 x 60 240 miles

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• The store sells vanilla, chocolate, and
  strawberry ice cream. You can have a sugar or
  biscuit cone. How many different types of ice
  cream cones can you buy at the store?
• 3 X 2 6 different ice cream cones

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WHAT IS DIVISION?WHEN DO WE USE DIVISION?
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WHAT IS DIVISION?WHEN DO WE USE DIVISION?

• 5 friends have 15 stickers. They are going to
  share them fairly so that each child gets the
  same number of stickers. How many stickers will
  each child get?

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• 5 friends have 15 stickers. They are going share
  them fairly so that each child gets the same
  number of stickers. How many stickers will each
  child get?

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• 5 friends have 15 stickers. They are going share
  them fairly so that each child gets the same
  number of stickers. How many stickers will each
  child get?

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• 5 friends have 15 stickers. They are going share
  them fairly so that each child gets the same
  number of stickers. How many stickers will each
  child get?
• 15 5 3

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• Does this drawing look like multiplication or
  division?

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• 5 friends have 15 stickers. They are going share
  them fairly so that each child gets the same
  number of stickers. How many stickers will each
  child get?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?
• 15 5 3
• Does this look like multiplication or division?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?

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• 5 friends have 15 stickers. They are going share
  them fairly so that each child gets the same
  number of stickers. How many stickers will each
  child get?

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• Nikki has 15 stickers. She puts 5 stickers on
  each page of her sticker book. How many pages
  will she use?

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GUZINTA
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Children need to know their basic facts in order
to do mental math, to estimate, and to do higher
level math thinking.
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• 42
• 6
• X 6 42
• X 7 42
• 6 7
• 42 7 7

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What we want students to know about
multiplication and division

• When to use multiplication and division to solve
  real problems. There are different models
  (pictures, diagrams) for these situations.
• Multiplication and division are related. They
  both involve groups of equal size
• Multiplication involves finding the total in all
  the groups.
• Division finds the missing part (factor), when we
  know one part and the total (product).