Georgia 2.GSR.7.3
The Standard
Partition circles and rectangles into two, three, or four equal shares. Identify and describe equal-sized parts of the whole using fractional names (“halves,” “thirds,” “fourths”, “half of,” “third of,” “quarter of,” etc.).
Georgia's K-12 Mathematics Standards · Draw and partition shapes and other objects with specific attributes, and conduct observations of everyday items and structures to identify how shapes exist in the world.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide circles and rectangles so every part takes up the same amount of space. They name the shares as halves, thirds, or fourths, and recognize quarter as another name for a fourth.
What Mastery Looks Like
- Given a blank circle or rectangle, a student can make two, three, or four equal shares and label them correctly. The student can reject an unequal partition and explain why the shares are not the same size.
Common Misconceptions
- Students may call any two pieces halves, even when one piece is larger. They may count dividing lines instead of regions, so two lines are mistaken for two shares. They may think equal shares must have matching shapes, not just the same amount of space.
How to Assess It
- On an exit ticket, show shapes with equal halves, unequal thirds, and equal fourths. Have students circle the fair partitions, label one share, and partition a blank rectangle into thirds.
Lesson moves
Ways to Teach It
Give pairs paper circles and rectangles to fold into halves, thirds, and fourths, then open, trace folds, and label each share.
Show two differently partitioned rectangles and have students write whether both show halves, then justify the claim using equal size.
Play Sort the Shares with cards showing halves, thirds, fourths, and unequal parts, then require students to explain one placement.
Examine a sandwich, paper plate, and brownie pan, then draw fair ways to share each among two, three, or four people.
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Printable 2.GSR.7.3 Worksheet
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Related Standards
- 1.GSR.4.3
Partition circles and rectangles into two and four equal shares.
- 3.NR.4.1
Describe a unit fraction and explain how multiple copies of a unit fraction form a non-unit fraction. Use parts of a whole, parts of a set, points on a number l...
- 3.NR.4
Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models.
- 2.GSR.7.4
Recognize that equal shares of identical wholes may be different shapes within the same whole.
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