Virginia SOL 2.NS.3.b
The Standard
Describe the relationship between the number of fractional parts needed to make a whole and the size of the parts (i.e., as the whole is divided into more parts, each part becomes smaller).
Virginia Standards of Learning for Mathematics · The student will use mathematical reasoning and justification to solve contextual problems that involve partitioning models into equal-sized parts (halves, fourths, eighths, thirds, and sixths).
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare equal parts made from wholes of the same size. They explain that creating more equal pieces makes each piece smaller.
What Mastery Looks Like
- Students correctly order halves, thirds, fourths, sixths, and eighths by piece size when the wholes match. They justify comparisons using the number of equal parts.
Common Misconceptions
- Students may think eighths are larger than fourths because eight is greater than four. They may count unequal pieces as fractions or compare pieces from different-sized wholes.
How to Assess It
- Show two equal-sized rectangles, one split into thirds and one into sixths. Ask, “Which has larger pieces, and how do you know?”
Lesson moves
Ways to Teach It
Fold equal paper strips into halves, fourths, and eighths, then place one piece from each strip side by side.
Show same-sized paper pizzas cut into thirds and sixths, then ask students to explain which guests receive larger slices.
Play a card sort matching whole models to fraction names, then arrange one-piece cards from largest to smallest.
Compare sharing one sandwich equally among two, four, and eight children, and record how each child’s share changes.
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Printable 2.NS.3.b Worksheet
A ready-to-print activity worksheet aligned to 2.NS.3.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 2.NS.3.d
Using same-size fraction pieces, from a region/area model, count by unit fractions up to two wholes (e.g., zero one-fourths, one one-fourth, two one-fourths, th...
- 2.NS.3.c
Compose the whole for a given fractional part and its value (in context) for halves, fourths, eighths, thirds, and sixths (e.g., when given 1 4 , determine how ...
- 2.NS.3.a
Model and describe fractions as representing equal-size parts of a whole.
- 4.NS.3.g
Represent the division of two whole numbers as a fraction given a contextual situation and a model (e.g., 3 5 means the same as 3 divided by 5 or 3 5 represents...
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