Virginia SOL 2.NS.3.e.i
The Standard
region/area models (e.g., pie pieces, pattern blocks, geoboards)
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 divide one shape into equal-area parts, then identify selected parts. They name and write fractions involving halves, thirds, fourths, sixths, and eighths. They use region models to show their reasoning.
What Mastery Looks Like
- Students partition circles, rectangles, pattern blocks, or geoboard shapes into equal areas. They correctly shade, name, and write fractions with denominators of 2, 3, 4, 6, or 8. They explain that the denominator counts all equal parts and the numerator counts selected parts.
Common Misconceptions
- Students may count pieces without checking that the pieces have equal areas. They may reverse the numerator and denominator or use the number of shaded pieces as the denominator. They may also think equal parts must have the same shape.
How to Assess It
- Give students this prompt: “A pan is cut into six equal pieces. Four pieces are eaten. Draw the pan and write the fractions eaten and left.”
Lesson moves
Ways to Teach It
Use pattern blocks: call a yellow hexagon one whole, cover it with equal green triangles, then label several covered amounts.
Show two differently partitioned rectangles and ask, “Which shaded fraction is larger, and how do you know the parts are equal?”
Play Fraction Match with cards showing region models, fraction words, and symbols; students collect sets of three representing the same amount.
Draw a tray of eight equal brownies, mark three as sold, and write the fraction sold and the fraction left.
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Printable 2.NS.3.e.i Worksheet
A ready-to-print activity worksheet aligned to 2.NS.3.e.i, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
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Related Standards
- 3.NS.3.a.iii
set models (e.g., chips, counters, cubes).
- 2.NS.3.e.iii
set models (e.g., chips, counters, cubes).
- 1.NS.3.b
Represent and name halves and fourths of a whole, using a region/area model (e.g., pie pieces, pattern blocks, paper folding, drawings) and a set model (e.g., e...
- 3.NS.3.a.i
The 3rd Grade version of this standard.
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