3.3.C
The Standard
explain that the unit fraction 1/b represents the quantity formed by one part of a whole that has been partitioned into b equal parts where b is a non-zero whole number
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify a unit fraction as one equal share of a whole. They use the denominator to tell how many same-size shares make the whole.
What Mastery Looks Like
- A student can model a given unit fraction with a drawing or object. They can explain that the denominator names the number of equal shares and one share is selected.
Common Misconceptions
- Students may count unequal pieces as valid fraction parts. They may think a larger denominator means a larger piece, or accept zero as a denominator.
How to Assess It
- Give students this exit ticket: Draw a model of 1/6, then explain what the 6 tells you and why all pieces must be equal.
Lesson moves
Ways to Teach It
Fold paper strips into 2, 3, 4, and 6 equal parts, then shade one part and label each unit fraction.
Show models of 1/3 and 1/5, then ask students which piece is larger and how the models prove it.
Play Unit Fraction Match by pairing fraction cards with picture cards showing one shaded part among equal parts.
Share a paper pizza among different numbers of people, then name the fraction each person receives when everyone gets an equal share.
Keep exploring
Related Standards
- 4.3.A
represent a fraction a/b as a sum of fractions 1/b, where a and b are whole numbers and b > 0, including when a > b
- 5.3.L
divide whole numbers by unit fractions and unit fractions by whole numbers
- 3.3.D
compose and decompose a fraction a/b with a numerator greater than zero and less than or equal to b as a sum of parts 1/b
- 6.2.E
extend representations for division to include fraction notation such as a/b represents the same number as a ÷ b where b ≠ 0
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