Post on 06-Feb-2016
description
What would happen if you divided a mixed number by a fraction? What
would happen if you divided a fraction by a mixed number?
I wonder… _ = ?
In this lesson you will learn how to divide mixed numbers
and fractions by thinking about equal groups.
Let’s ReviewLet’s Review
2 _ = 4 12
1
12
4
12
3
12
2
1 whole 1 whole
_ 2 =
12
14
14
14
14
_ = 21 whole
1 whole14
14
14
14
12
1212
14
14
12
1 2
Let’s ReviewA Common Mistake
A common mistake is to think that dividing a number always leads to an
answer that is smaller than the number being divided.
_ 2 = 2 _ = 4
Dividend < Divisor
Dividend > Divisor
Quotient < 1 Quotient > 1
Let’s ReviewCore Lesson
1 whole 1 whole14
14121 whole
1 _ = ?
1 whole1 whole14
14
14
14
14
14
14
14
14
14
14
34
14
14
14
34
2
My answer should be
more than 1.
1 set of 1 set of
This answer makes sense because it is more than 1.
Let’s ReviewCore Lesson
1 whole 1 whole14
14121 whole
1 _ 2 = ?
1 whole1 whole1 whole 1 whole
One set of 2…
1 2 3 4
My answer should be less
than 1.34
This answer makes sense because it is less than 1.
Let’s ReviewCore Lesson
1 whole
1 whole
1 whole
2 _ = ?
1 whole
1 whole
1 whole
3 My answer should be
more than 1.
14
14121
whole1
whole14
14
14
14
14
14
14
14
14
14
14
14
14
14
14
34
14
14
14
34
14
14
14
34
14
14
14
341 set of
23
1 set of 1 set of
?1
of
This answer makes sense because it is more than 1.
In this lesson you have learned how to divide mixed numbers
and fractions by thinking about equal groups.
Let’s ReviewGuided Practice
_ 1 =
1 whole
1 whole
1 whole
1 whole
131313
Let’s ReviewExtension Activities
Create a division problem using both a fraction and a mixed number that would result in a quotient of 2.
Create a division problem using both a fraction and a mixed number that would result in a quotient of .
Let’s ReviewExtension Activities
Analyze the following division problems. For each problem, estimate if the quotient will be less than 1 or greater than 1.
Dividend < DivisorQuotient >
1
Dividend > DivisorQuotient < 1
1 _ =
_ =
_ 2 =
Let’s ReviewExtension Activities
1 _ = 2
The thought bubble above shows a different way to think about the problem.
of what
number is 1 ?
Use this method of thinking to mentally calculate 2 _ .
Think: of what number
is 2 ?
of 2
is 1 .
(Check by multiplying.)
Let’s Review
Quick Quiz
2 _ =
_ 1 =