Wyoming Math 2.G.3c
The Standard
Partition circles and rectangles into two, three, or four equal shares by: Recognizing that equal shares of identical wholes need not have the same shape.
2023 Wyoming Mathematics Content and Performance Standards · Reason with shapes and their attributes.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide circles and rectangles into two, three, or four equal parts. They check that equal parts cover the same amount, even when the parts look different.
What Mastery Looks Like
- A student can make equal halves, thirds, and fourths in circles and rectangles. They can explain why a triangular half and a rectangular half from identical rectangles give the same amount.
Common Misconceptions
- Students may count the parts and call them equal without checking their size. Some think parts must have the same shape to give everyone the same amount.
How to Assess It
- Give students two identical printed rectangles. Ask them to divide one into two rectangular halves and the other into two triangular halves, then explain why all four pieces give the same amount.
Lesson moves
Ways to Teach It
Cut two identical paper rectangles, one down the middle and one corner to corner; stack each pair of pieces to check their size.
Show a rectangular half beside a triangular half from matching rectangles and ask, “Would each person get the same amount? How do you know?”
Play Fair or Not with cards showing circles and rectangles divided into two, three, or four parts; students sort and explain their choices.
Draw two identical rectangular sandwiches, cut one straight across and one diagonally, then decide whether each cut shares lunch fairly.
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Printable 2.G.3c Worksheet
A ready-to-print activity worksheet aligned to 2.G.3c, with an answer key for the teacher on its own page. No account needed.
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