Fraction Line Equivalence Mat
ALN Fraction Card Deck #1 • Halves, Fourths & Eighths
Name: Date:
Equivalence on a Single Number Line
Sort your cards by value. Follow each number line slash directly down into its column to record equivalent cards.
Equivalence Rule Same Slash = Equal Value
Benchmark Intervals Across the Line (0 to 1) Halves (2 parts) • Fourths (4 parts) • Eighths (8 parts)
1st Half [0 to 1/2]
2nd Half [1/2 to 1]
1/4
2/4 (= 1/2)
3/4
4/4 (= 1)
1/8
2/8
3/8
4/8
5/8
6/8
7/8
8/8
0
0
3 Fractions
Fraction
Fraction
Fraction
Deck Models:
# Card Line
Total: ___
1/8
1/8
1 Fraction
Fraction
Model Sketch
Deck Models:
# Card Line Area Set
Total: ___
1/4
1/4
2 Fractions
Fraction
Fraction
\(\frac{1}{4} = \frac{2}{8}\)
Deck Models:
# Card Line Area Set
Total: ___
3/8
3/8
1 Fraction
Fraction
Model Sketch
Deck Models:
# Card Line Area Set
Total: ___
1/2
1/2
3 Fractions!
Half Card
Fourth Card
Eighth Card
Deck Models:
# Card Line Area Set
Total: ___
5/8
5/8
1 Fraction
Fraction
Model Sketch
Deck Models:
# Card Line Area Set
Total: ___
3/4
3/4
2 Fractions
Fraction
Fraction
\(\frac{3}{4} = \frac{6}{8}\)
Deck Models:
# Card Line Area Set
Total: ___
7/8
7/8
1 Fraction
Fraction
Model Sketch
Deck Models:
# Card Line Area Set
Total: ___
1
1
3 Fractions
Fraction
Fraction
Fraction
Deck Models:
# Card Line Area Set
Total: ___
Equivalence Proofs: Record Your Discoveries
Fill in the missing numerators to complete each true equivalence chain.
Halfway Hub
\(\frac{1}{2}\) = 4 = 8
One Fourth
\(\frac{1}{4}\) = 8
Three Fourths
\(\frac{3}{4}\) = 8
One Whole
1 = 2 = 4 = 8
Zero
0 = 2 = 4 = 8
1. Why do \(\frac{1}{2}\), \(\frac{2}{4}\), and \(\frac{4}{8}\) share the exact same slash on the number line?
2. Look at the pieces in the area and set cards: what pattern doubles each time?
Grade 4 Math • Standard 4.NF.A.1: Fraction Equivalence Using Number Lines & Models Check: Every card in Deck #1 should find a home on the line!
