Flip the Script Slides
FRACTION FLIP
Mastering Division & Conversions
Divide
Keep
Change
Flip
Today's Mission
DIVISION SKILLS: Divide whole numbers by fractions using the Keep, Change, Flip method.
CONVERSION STRATEGY: Convert improper fractions to mixed numbers using Long Division and Decomposition.
Warm-Up Challenge
Quick! Write down the first 5 multiples for each number:
3
__, __, __, __, __
4
__, __, __, __, __
5
__, __, __, __, __
Tip: These multiples will help us "decompose" fractions later!
Watch & Learn
PAUSE AT 0:15
Embedded media
"How do we write a whole number as a fraction?"
KEEP • CHANGE • FLIP
Step 1
KEEP
The first fraction stays exactly the same.
Step 2
CHANGE
Turn the division sign into multiplication.
Step 3
FLIP
Flip the second fraction upside down (Reciprocal!).
CHALLENGE TIME
We've reached 1:05 in the video...
32
3
Convert this into a Mixed Number!
Use your whiteboards. Show your work.
Two Ways to Convert
1
Long Division
Divide the numerator by the denominator.
- The Quotient is the whole number.
- The Remainder is the new numerator.
2
Decomposition
Find the highest multiple of the denominator.
- Break the numerator into (Multiple + Leftover).
- Divide the multiple to get your whole number.
MISSION DEBRIEF
Which conversion method did you prefer? Why?
When might Decomposition be faster than Long Division?
Why do we put whole numbers over 1 before we start?
Fraction Flip Anchor Chart
FRACTION FLIP
Mastering Whole Number Division
1 THE ALGORITHM: K.C.F.
KEEP
8
Write as 8/1
CHANGE
×
Division to Mult.
FLIP
4
3
The Reciprocal
\( \frac{8}{1} \times \frac{4}{3} = \frac{32}{3} \) (Improper!)
METHOD A: LONG DIVISION
10
3 32
- 30
R: 2
1. Quotient (10) = Whole Number
2. Remainder (2) = New Numerator
3. Denominator (3) = Stays the same
10 \(\frac{2}{3}\)
METHOD B: DECOMPOSITION
"Find the highest multiple of the denominator just under the numerator."
32
3
30 + 2
3
\( \frac{30}{3} = 10 \)
\( \frac{2}{3} \)
10 \(\frac{2}{3}\)
Vocabulary
RECIPROCAL
The "flipped" fraction
Vocabulary
IMPROPER
Numerator > Denominator
Vocabulary
MULTIPLE
Skip counting by the denominator
Fraction Flip Worksheet
FRACTION FLIP
Student Mission Log
Agent Name:
Mission Date:
1. WARM-UP: Multiple Power-Up
List the first 5 multiples for each number to prepare for decomposition.
3:
4:
5:
2. VIDEO CHALLENGE (Pause at 1:05)
The video shows the improper fraction 32 / 3. Convert it to a mixed number using any method below before the narrator shows you how!
3. TWO WAYS TO SOLVE
Solve each division problem to get an improper fraction. Then, show both methods for converting it to a mixed number.
Problem #1 5 ÷ 2 / 3 = ______
Method A: Long Division
Method B: Decomposition
Final Mixed Number:
Problem #2 4 ÷ 3 / 5 = ______
Method A: Long Division
Method B: Decomposition
Final Mixed Number:
Problem #3 6 ÷ 4 / 5 = ______
Method A: Long Division
Method B: Decomposition
Final Mixed Number:
Problem #4 9 ÷ 2 / 7 = ______
Method A: Long Division
Method B: Decomposition
Final Mixed Number:
Problem #5 7 ÷ 3 / 4 = ______
Method A: Long Division
Method B: Decomposition
Final Mixed Number:
4. MISSION REFLECTION
Which conversion method (Long Division or Decomposition) did you prefer? Why?
