Virginia SOL 3.NS.3.a.iii
The Standard
set models (e.g., chips, counters, cubes).
Virginia Standards of Learning for Mathematics · The student will use mathematical reasoning and justification to represent and compare fractions (proper and improper) and mixed numbers with denominators of 2, 3, 4, 5, 6, 8, and 10), including those in context.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students treat one whole as a set containing the number of objects named by the denominator. They mark objects to show the numerator, using more than one set when needed. They name and write the fraction or mixed number shown.
What Mastery Looks Like
- A student can model 3/5 with five objects and mark three. For 1 3/4, the student makes two sets of four, marks one full set and three more, then writes the number correctly.
Common Misconceptions
- Students may count every displayed object as the denominator instead of using the number in one whole set. They may reverse numerator and denominator or model 1 3/4 as four objects out of seven.
How to Assess It
- Give each student eight two-color counters and say, “Show 7/4.” Have students circle each whole set, turn over seven counters, and label the model.
Lesson moves
Ways to Teach It
Give students counters and fraction cards, then have them build each number by grouping counters into wholes and turning over the named amount.
Ask, “Why does the denominator stay 4 when a model of 7/4 uses eight counters?” Have students explain in writing.
Run a match-up race where students pair fraction cards, mixed-number cards, and prepared counter models, then justify each match to a partner.
Use two six-slot egg cartons and plastic eggs to model 8/6, then describe the full carton and the part of the next carton.
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Printable 3.NS.3.a.iii Worksheet
A ready-to-print activity worksheet aligned to 3.NS.3.a.iii, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 2.NS.3.e.i
region/area models (e.g., pie pieces, pattern blocks, geoboards);
- 2.NS.3.e.iii
The 2nd Grade version of this standard.
- 3.NS.3.a.ii
length models (e.g., paper fraction strips, fraction bars, rods, number lines); and
- 2.NS.3.e.ii
length models (e.g., paper fraction strips, fraction bars, rods, number lines); and
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