NY Next Generation Math NY-1.G.3
The Standard
Partition circles and rectangles into two and four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split circles and rectangles into two or four equal shares. They name the shares as halves, fourths, or quarters and explain that fourths are smaller than halves of the same whole.
What Mastery Looks Like
- A student divides a rectangle into four equal shares and labels each share one fourth. The student explains that four fourths make the whole and two halves also make the whole.
Common Misconceptions
- Students may make pieces that look similar but are not equal in size. They may think fourths are larger than halves because four is a larger number than two.
How to Assess It
- Give the student a paper circle and ask for four equal shares. Have the student label one share and explain how the shares make one whole.
Lesson moves
Ways to Teach It
Fold paper circles and rectangles into halves and fourths, then trace the fold lines and label every equal share.
Ask students why fourths are smaller than halves when both come from the same rectangle.
Play equal-share sort with correct partitions and near-misses that contain unequal pieces.
Plan how to share a rectangular pan of cornbread equally among two or four students.
Keep exploring
Related Standards
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Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of op...
- NY-3.G.2
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- NY-2.G.3
Partition circles and rectangles into two, three, or four equal shares. Describe the shares using the words halves, thirds, half of, a third of, etc. Describe t...
- NY-4.NBT.6
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