Virginia SOL 3.NS.3.a.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 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 divide shapes into equal parts and shade a given amount. They name and write the amount as a fraction or mixed number. They also represent amounts greater than one whole across multiple shapes.
What Mastery Looks Like
- Students correctly label shaded area models with fractions or mixed numbers. They can draw equal parts, show amounts greater than one whole, and explain what each number represents.
Common Misconceptions
- Students may count shaded parts as the denominator or use parts that are not equal in size. They may stop counting at one whole instead of continuing the numerator across several wholes. Some confuse an improper fraction with its mixed number form.
How to Assess It
- Give this exit ticket: “Draw and shade an area model for 7/4. Write the same amount as a mixed number and label each whole.”
Lesson moves
Ways to Teach It
Give students paper circles to fold into equal parts, then have them shade and label proper fractions, improper fractions, and mixed numbers.
Display a shaded model and ask, “How do the numerator and denominator describe this picture?” Students write and share one explanation.
Create matching cards with shaded area models, fractions, and mixed numbers, then have pairs build matching sets and check each other.
Use paper pizza pans to model customer orders such as 7/4 pizzas, then label each order as a fraction and mixed number.
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Printable 3.NS.3.a.i Worksheet
A ready-to-print activity worksheet aligned to 3.NS.3.a.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
- 2.NS.3.e.i
The 2nd Grade version of this standard.
- 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...
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