NY Next Generation Math NY-3.G.2
The Standard
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students partition shapes into parts with equal areas. They name each part as a unit fraction of the whole, using the number of equal parts as the denominator.
What Mastery Looks Like
- A student divides a rectangle into six equal-area parts and labels each part 1/6. The student explains that the six parts can differ in orientation but must cover equal areas.
Common Misconceptions
- Students may count parts without checking their areas or use unequal pieces. They may label each part with the numerator equal to the number of pieces instead of using 1.
How to Assess It
- Give students a rectangle and ask them to partition it into four equal-area parts, label each part, and explain the denominator.
Lesson moves
Ways to Teach It
Fold and cut paper shapes into equal-area halves, thirds, fourths, sixths, or eighths, then label each piece.
Ask students how they can prove two differently shaped parts have equal area.
Play unit-fraction match with partitioned shapes, fraction labels, and carefully designed unequal-share distractors.
Divide a garden plan into equal planting areas and name one plot as a unit fraction.
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Printable NY-3.G.2 Worksheet
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