Fraction Twins Teacher Guide
Fraction Twins
Teacher Facilitation Guide
Grade 3 • Math
Objective
Define and identify equivalent fractions using visual area models.
Duration
45-50 Minutes
Materials
- Paper Squares Template
- Match-Up Mania Cards
- Crayons & Scissors
1
Warm-up: The Great Fold (5 min)
Distribute the Square Snap Template. Give half the class "Group A" and half "Group B".
- Group A: Fold the square once to make two halves. Color 1 part.
- Group B: Fold the square twice to make four quarters. Color 2 parts.
Visual Comparison:
"Hold up your squares! Does one person have more color than the other? Why do they look the same size if the numbers are different?"
2
Video & Discussion (10 min)
Watch the Fraction Twins Slides (embedded video). Use the following pause points:
0:40 Pause
Ask students to count the third square's parts before the narrator says "3/6".
0:53 Discussion
"Why does the fraction name change even though we didn't color any more area?"
Key Insight: As the number of pieces (denominator) increases, the size of each individual piece decreases, keeping the total colored area the same.
3
Activity: Match-Up Mania (20 min)
Give each student one Match-Up Mania Card. They must find their "Fraction Twin."
- Students look at their card and identify the fraction shown.
- They walk around the room comparing their shaded area to others.
- When they find a partner whose shaded area matches exactly (even if cut into more/fewer pieces), they sit down together.
- Pairs must be prepared to explain: "Our fractions are twins because they cover the same amount of space."
4
Closure: Pizza Problem (10 min)
Draw a large circle on the board and cut it in half (1/2).
"I have half a pizza, but I want to share it with 4 friends. How can I turn this into 4 pieces without erasing any lines?"
Wait for student to suggest drawing a horizontal line across. Write the equation: \( \frac{1}{2} = \frac{2}{4} \).
Distribute the Slice and Share Exit Ticket to wrap up.
Fraction Twins Slides
FRACTION TWINS
Finding the same amount with different names
1/2
is
2/4
The Great Fold
A Group A
Fold your square once. Color 1 part.
B Group B
Fold your square twice. Color 2 parts.
Do they look the same?
Visual Proof
PAUSE AT 0:53
Embedded media
Why does the fraction name change if we didn't color any more area?
1/2
One Half
=
2/4
Two Quarters
=
3/6
Three Sixths
Match-Up Mania!
1
Look at your card. What fraction do you see?
2
Walk around. Find a partner with the exact same amount of color.
3
Once you find your "twin," sit down together!
Hint: Your numbers might be different, but your "pizza slice" sizes should match!
Square Snap Template
Square Snap Template
Fold, color, and compare to find your twin!
GROUP A
Instructions:
- Cut out the square.
- Fold it once to make 2 equal parts.
- Unfold and color in 1 part.
- Write your fraction:
GROUP B
Instructions:
- Cut out the square.
- Fold it twice to make 4 equal parts.
- Unfold and color in 2 parts.
- Write your fraction:
Think: Why do these different fractions look the same when we hold them up together?
Slice and Share Exit Ticket
Slice & Share
Exit Ticket: Equivalent Fractions
Name:
Date:
1
Circle the two fractions that are "twins" (equivalent).
\(\frac{1}{2}\)
\(\frac{1}{3}\)
\(\frac{2}{4}\)
2
Draw a line to turn this 1/2 pizza into 2/4. Then write the equation below.
\( \frac{1}{2} = \)
3
In your own words, what is an equivalent fraction?
