Ghost One Slides GHOST ONE MATH
Revealing the Invisible Denominator
The Secret Identity
Every whole number is secretly a fraction.
5
\[ \frac{5}{1} \]
Why a "1"?
Fractions are division .
Any number divided by 1 stays the same!
How to Reveal the Ghost
01
Start Strong
12
02
Add the Bar
12
03
Place the Ghost
\[ \frac{12}{1} \]
Power of Conversion
Multiplying whole numbers by fractions is tricky...
Hard Form
\[ 4 \times \frac{2}{3} \]
Ghost Form
\[ \frac{4}{1} \times \frac{2}{3} \]
The Golden Rule
1
Multiply the Numerators (Tops)
2
Multiply the Denominators (Bottoms)
\[ \frac{4}{1} \times \frac{2}{3} = \frac{8}{3} \]
Ghost Hunters Practice
Reveal the ghost, then multiply:
\[ 7 \times \frac{1}{2} \]
1. Reveal the Ghost
2. Multiply Across
Result: \( \frac{7}{2} \)
Ghost One Notes Ghost One Notes
Identity of Whole Numbers
Name:
Date:
1. The Secret Identity
Every whole number is secretly a .
WHOLE
8
FRACTION
\[ \frac{8}{1} \]
2. How to Multiply
Step 1: Reveal
\( 5 \times \frac{2}{3} \rightarrow \frac{5}{1} \times \frac{2}{3} \)
Step 2: Solve
\( \frac{5 \times 2}{1 \times 3} = \) \( \frac{10}{3} \)
Guided Practice
PRACTICE A: \( 6 \times \frac{1}{5} \)
CONVERT
\( \frac{6}{\phantom{1}} \)
RESULT
\( \frac{\phantom{00}}{\phantom{00}} \)
PRACTICE B: \( 3 \times \frac{4}{7} \)
CONVERT
\( \frac{3}{\phantom{1}} \)
RESULT
\( \frac{\phantom{00}}{\phantom{00}} \)
Ghost One Drill Ghost One Drill
Skill Drill Practice
Name:
HOW-TO: Every whole number \( n \) can be written as \( \frac{n}{1} \). Reveal the ghost, then multiply straight across!
Part A: Reveal the Ghost
9
\( \frac{\phantom{0}}{\phantom{0}} \)
14
\( \frac{\phantom{0}}{\phantom{0}} \)
25
\( \frac{\phantom{0}}{\phantom{0}} \)
100
\( \frac{\phantom{0}}{\phantom{0}} \)
1
\( \frac{\phantom{0}}{\phantom{0}} \)
?
\( \frac{50}{1} \)
Part B: Multiplication Hunt
#7
\( 5 \times \frac{3}{4} \)
\( \frac{\phantom{0}}{\phantom{0}} \times \frac{3}{4} \)
\( \frac{\phantom{00}}{\phantom{00}} \)
#8
\( 2 \times \frac{2}{9} \)
\( \frac{\phantom{0}}{\phantom{0}} \times \frac{2}{9} \)
\( \frac{\phantom{00}}{\phantom{00}} \)
#9
\( 10 \times \frac{1}{3} \)
\( \frac{\phantom{0}}{\phantom{0}} \times \frac{1}{3} \)
\( \frac{\phantom{00}}{\phantom{00}} \)
#10
\( 4 \times \frac{5}{6} \)
\( \frac{\phantom{0}}{\phantom{0}} \times \frac{5}{6} \)
\( \frac{\phantom{00}}{\phantom{00}} \)
Master Challenge
Multi-Step Mystery
\( 12 \times \frac{3}{10} = \)
\( \frac{\phantom{000}}{\phantom{000}} \)
Ghost One Key ANSWER KEY
Ghost One Drill | Teacher Resource
TEACHER USE
Part A: Ghost Conversions
9 → \( \frac{9}{1} \)
14 → \( \frac{14}{1} \)
25 → \( \frac{25}{1} \)
100 → \( \frac{100}{1} \)
1 → \( \frac{1}{1} \)
50 ← \( \frac{50}{1} \)
Part B: Multiplication Hunt
PROBLEM #7
\( 5 \times \frac{3}{4} = \frac{15}{4} \)
Step 1: \( \frac{5}{1} \times \frac{3}{4} \)
PROBLEM #8
\( 2 \times \frac{2}{9} = \frac{4}{9} \)
Step 1: \( \frac{2}{1} \times \frac{2}{9} \)
PROBLEM #9
\( 10 \times \frac{1}{3} = \frac{10}{3} \)
Step 1: \( \frac{10}{1} \times \frac{1}{3} \)
PROBLEM #10
\( \frac{20}{6} \rightarrow \frac{10}{3} \)
\( 4 \times \frac{5}{6} \)
Challenge Reveal
Ghost Master Status
\( \frac{36}{10} \) \( \frac{18}{5} \)
Ghost One Teacher Guide Ghost One Teacher Guide
Lesson Facilitation & Pacing
Duration
45-60 min
Grade Level
Grades 4-5
Learning Objective
Students will understand that any whole number \( n \) can be represented as the fraction \( \frac{n}{1} \), allowing them to multiply whole numbers by fractions accurately.
1 Introduction (10m)
Use Ghost One Slides to hook students. Discuss how many whole items (like pizzas) can be written as fractions of "wholes" (1/1).
2 Guided Notes (15m)
Distribute Ghost One Notes . Model the step-by-step conversion. Check for students placing the 1 in the numerator (common error).
3 Practice Drill (20m)
Students complete Ghost One Drill . Ensure they show the conversion step clearly before multiplying across.
4 Closing (5m)
Quick recap: "Tops with Tops, Bottoms with Bottoms!" Have students shout it out.
Common Misconceptions
Mistake: The Inverse Ghost
Putting 1 in the numerator (e.g., \( 5 \rightarrow \frac{1}{5} \)).
Fix: "1/5 is a tiny slice; 5/1 is 5 whole cakes!"
Mistake: Addition Confusion
Trying to find common denominators (unnecessary for multiplication).
Fix: Remind them multiplication is simpler: just go straight across!
Extension Ideas
Visual Proofs
Draw 3 groups of 1/2 to show why \( 3 \times \frac{1}{2} = \frac{3}{2} \).
Word Problems
"If 4 friends each eat 2/3 of a bag of chips..."
Simplification
Challenge students to convert answers to mixed numbers.
