Transcript the big ideas of multiplication and division

THE BIG IDEAS OF
MULTIPLICATION
AND
DIVISION
WHAT IS MULTIPLICATION?
WHEN DO WE USE MULTIPLICATION?
WHAT IS MULTIPLICATION?
WHEN DO WE USE MULTIPLICATION?
• To find the total in a number of equal groups – “a
quick way to add”
• There are 4 children at a table. They each
have 3 cookies. How many cookies do
they have in all?
There are 4 children at a table. They each
have 3 cookies. How many cookies do
they have in all?
In our classroom there are 3 rows of
desks. Each row has 5 desks. How many
desks are there?
In our classroom there are 3 rows of
desks. Each row has 5 desks. How many
desks are there?
In our classroom there are 3 rows of desks.
Each row has 5 desks. How many desks
are there?
3 x 5 = 15
5
3
3 X 5 = 15 sq units
y
x
We are going on a trip. It will take four hours
if we drive at 60 miles per hour. How far
will we drive?
We are going on a trip. It will take four hours
if we drive at 60 miles per hour. How far
will we drive?
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
4 x 60 = 240 miles
60
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
WHAT IS DIVISION?
WHEN DO WE USE DIVISION?
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?
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?
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?
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
Does this drawing look like multiplication or
division?
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?
Nikki has 15 stickers. She puts 5 stickers on
each page of her sticker book. How many
pages will she use?
Nikki has 15 stickers. She puts 5 stickers on
each page of her sticker book. How many
pages will she use?
Nikki has 15 stickers. She puts 5 stickers on
each page of her sticker book. How many
pages will she use?
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?
Nikki has 15 stickers. She puts 5 stickers on
each page of her sticker book. How many
pages will she use?
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?
Nikki has 15 stickers. She puts 5 stickers on
each page of her sticker book. How many
pages will she use?
Children need to know their
basic facts in order to do mental
math, to estimate, and to do
higher level math thinking.
42
6
7 X
6 X
42 ÷
42 ÷
6 = 42
7 = 42
6 =7
7 =7
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).