Maryland Math 1.NOS.F.14
The Standard
Partition circles and rectangles into equal shares (halves and fourths) recognizing that decomposing into more equal shares creates smaller shares. Determine how many equal shares are needed to make a whole (e.g., two halves).
Maryland College and Career Ready Standards for Mathematics (2025) · UNDERSTAND EQUAL PARTS OF A WHOLE.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split circles and rectangles into two or four equal parts. They name the parts halves or fourths. They show how many parts make a whole and compare shares of the same shape.
What Mastery Looks Like
- A student can fold or draw two equal halves and four equal fourths in a circle or rectangle. They can show that two halves or four fourths make a whole, and that a fourth is smaller than a half of the same shape.
Common Misconceptions
- Students may call four pieces fourths even when the pieces are different sizes. They may think a fourth is larger than a half because four is larger than two, or think two fourths make a whole.
How to Assess It
- Exit ticket: Draw halves on one circle, fourths on an identical circle, and fourths on a rectangle. Write how many shares make each whole and circle which circle share is smaller.
Lesson moves
Ways to Teach It
Fold matching paper circles and rectangles into halves and fourths, then compare one half and one fourth of the same shape.
Show a circle cut into four unequal pieces and ask students to write why the pieces are not fourths and how to fix them.
Sort picture cards of circles and rectangles into halves, fourths, and unequal parts, then explain one tricky card to a partner.
Cut two same-size paper sandwiches, one for two children and one for four, and compare the size of each child's share.
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