1. A keynote by Leesa Irwin and Lorena Sutton, CWE
UW.4.M.NF.01
Objective: I can explain why one fraction is equivalent to others, using visual models.
A keynote by Leesa Irwin and Lorena Sutton, CWE

2. even though the two fractions are equal.
Big Ideas
~Equivalent fractions can be represented in
many ways.
~The number and size of the parts differ
even though the two fractions are equal.

3. SET 1/4 1/4 1/2 1/2 1/4 1/4 Take one whole piece of paper
Color in half (1/2)
How many
fourths = 1 whole?
How many
halves = 1 whole?
How many
fourths = 1/2
Fold your paper
in half.
Fold your paper
in half again.
Fold your paper
in half again.
How many
eighths = 1 whole?
How many
eighths = 1/2?
1/8
1/8
1/8
1/8
1/8
1/8
How many
eighths = 1/4?
1/8
1/8

4. Can you make an educated guess how many 16ths = 1/2?
2/2 = /4 = /8 = 1
8/16 =
4/8 = 2/4 = 1/2
Can you make an educated guess how many 16ths = 1/2?
To check, fold your paper in half one more time.
Fraction Rule: When the numerator is half the denominator, a fraction can be renamed as 1/2.
2/8 = 1/4
Look at your paper to see how many 16ths = 1/4
A fraction is an amount less than 1 whole. Fractions can have more than one name while keeping the same value:
4/16 = 2/8 = 1/4

5. VOCABULARY 4 6 Fraction: a number that is less than 1 whole 4/6
numerator
4/6
numerator
denominator
denominator
Denominator: the bottom digit in a fraction, representing the total number of equal parts an item is divided into.
Numerator: the top digit in a fraction, representing how many parts of a whole are being considered.
Equivalent fractions: different fractions that
represent the same value

6. Fraction strips can help you identify and understand equivalent fractions.1
1/2
1/2
1/3
1/3
1/3
1/4
1/4
1/4
1/4
1/5
1/5
1/5
1/5
1/5
1/6
1/6
1/6
1/6
1/6
1/6
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/8
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/9
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/10
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12
1/12

7. What fractions are equivalent to 1/3?
Use your fraction strips (a ruler will help) to find equivalent fractions for the fractions below.
1/6 = ?/3
2/6 = ?/12
3/4 = ?/12
2/3
4/12
9/12
4/5 = ?/10
2/3 = ?/6
2/3 - ?/12
8/10
4/6
8/2
What fractions are equivalent to 1/3?
2/6, 3/9, 4/12

8. In your journal, explain
Closure:
In your journal, explain
what equivalent
fractions are.