Wyoming Math 1.G.3c
The Standard
Partition circles and rectangles into two and four equal shares and: Recognize that decomposing into more equal shares creates smaller shares.
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 or four same-size pieces. They compare one piece from each split and notice that making four pieces gives smaller pieces than making two.
What Mastery Looks Like
- Students draw lines that make two or four equal parts in a circle or rectangle. They spot unequal parts and explain why one fourth is smaller than one half of the same whole.
Common Misconceptions
- Students may call any four pieces fourths, even when the pieces differ in size. They may compare pieces from different-size shapes or think more cuts make each piece larger.
How to Assess It
- Give students two identical rectangles. Ask them to divide one into halves and the other into fourths, then circle the larger single piece and explain their choice.
Lesson moves
Ways to Teach It
Have students fold paper circles and rectangles into halves, then fourths, and shade one piece of each.
Show two identical paper rectangles cut into halves and fourths. Ask, "Which single piece is larger? How do you know?"
Sort drawing cards into equal halves, equal fourths, and unequal parts piles, then check each pile with a partner.
Draw two same-size pizzas, slice one for two people and one for four, then compare each person's slice.
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Printable 1.G.3c Worksheet

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Related Standards
- 2.G.3
Partition circles and rectangles into two, three, or four equal shares by:
- 1.G.3
Partition circles and rectangles into two and four equal shares and:
- 1.G.3a
Describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of.
- 2.G.3c
Recognizing that equal shares of identical wholes need not have the same shape.
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