Division of Fractions (1 of 3)
Missy Bristol
1
Agenda and Objectives
Learning Objective: Students Will Be Able To… interpret the rationality of quotients and apply this skill
to “real-world” problems.
Language Objective: SWBAT define and identify Dividend, Divisor, and Quotient as they relate to
division of fractional quantities.
10
1) Warm Up
independent
2) Launch 1
independent and partner
3) Launch 2
independent and partner
4) Explore
independent and partner
5) Summary
“key to leave” check
Lesson Vocabulary and Language Objectives
Word
Definition
Dividend
A number to be divided
Divisor
The number a dividend is
divided by
Quotient
The number that results from
division, solution of division
Example/Symbol
10
10 ¸ 2 or
2
10
10 ¸ 2 or
2
=5
Agenda
11
Launch 1 – Division: Larger Dividend
4¸2= 2
Dividend
Divisor
Quotient
Once
Twice
Concept 1
When the dividend is larger than the divisor,
the quotient is always greater than 1.
Agenda
12
Student Work (SW #1)
*On the lines below, write what you think Concept 1 means in your own
words. If needed, you can use the number example, 4 ÷ 2, to help in your
explanation. Please use either the words "fits into" or "holds" in your
explanation. Once finished, share your explanation with a table partner.
(Everyone must share)
5 Minutes of Work Time !
Click on the timer for internet
timer window to open!
Agenda
13
Launch 2 – Division, smaller dividend
1
2¸4=
2
Dividend
Divisor
Quotient
Concept 2
When the dividend is smaller than the divisor,
the quotient is always less than 1.
Agenda
14
Student Work (SW #2)
*On the lines below, write what you think Concept 1 means in your own
words. If needed, you can use the number example, 2 ÷ 4, to help in your
explanation. Please use either the words "fits into" or "holds" in your
explanation. Once finished, share your explanation with a table partner.
(Everyone must share)
5 Minutes of Work Time !
Click on the timer for internet
timer window to open!
Agenda
15
(SW #3) Don’t freak out if not whole numbers…
… the concepts still apply to fractions and decimals !!
1 1
¸
2 4
Dividend
Dividend
Greater than/Less than
Concept 1 or 2 (write out)
is __________
because _____________
Divisor
Divisor
3.01 ¸ 5.65
Greater than/Less than
Concept 1 or 2 (write out)
is __________
because _____________
Agenda
16
Explore – Rational Quotients
Circle the larger number (Dividend or Divisor). Then, write greater than or less than,
you may use inequality symbols ( < or > ). #1 is answered for you.
1)
2)
5¸7
Less than
<
1
11.3 ¸ 8
Greater than
>
1
3)
1
3 ¸2
3
>
1
4)
1
2 ¸3
2
<
1
4.33 ¸ 4.32
>
1
6) 1.001¸1.0009
>
1
5)
1 4
¸
3 5
8)
1
1
2 ¸5
4
2
7 2
9)
¸
8 9
1 1
10)
¸
3 6
3 2
11)
¸
2 3
12) 9 10
¸
8 3
7)
<
1
<
1
>
1
>
1
>
1
<
1
Agenda
17
Summary & Key to Leave
Name
1)
Problems 2 & 3 involve division to solve: Place a box around
the dividend and circle the divisor. Write a numerical
expression or equation. Then write whether the quotients will
be greater than or less than 1.
Explain whether the quotient to the problem
below is greater than or less than 1. Use the
words “Dividend” and “Divisor” in your
explanation.
2) How many halves, (1/2), are there in an
eighth, (1/8)?
An Italian sausage is 8 inches long. How many pieces of sausage can be cut from the 85inch piece
2 of sausage if each piece is to be
6
¸
3) A hotdog is 7 ½ inches long. How many
pieces can be cut from the hotdog if each
piece is to be two-thirds of an inch?
3
Agenda
18