Wyoming Math 2.G.3

2.G.3 is a cluster heading. These are the individual standards under it.

• 2.G.3a

  Describing the shares using the words halves, thirds, half of, a third of, etc.

• 2.G.3b

  Describing the whole as two halves, three thirds, four fourths.

• 2.G.3c

  Recognizing that equal shares of identical wholes need not have the same shape.

01

What Students Need to Do

Students split circles and rectangles into two, three, or four equal parts. They name each part as a half, third, or fourth, and describe how the parts make one whole.

02

What Mastery Looks Like

A student can draw equal shares in a circle or rectangle and label one share correctly. They can explain that two halves, three thirds, or four fourths make a whole. They know shares from identical wholes can have different shapes but the same area.

03

Common Misconceptions

Students may count three pieces and call them thirds even when one piece is larger. They may think equal shares must have the same shape, or that a third must be the third piece in order.

04

How to Assess It

Give students two identical rectangles. Ask them to split one into three equal vertical strips and the other into three equal horizontal strips, label one share in each, and explain whether those shares are equal.

1. 01

   Give pairs paper rectangles to fold into halves and fourths, then have them use a ruler to mark three equal strips on another rectangle.

2. 02

   Show two identical rectangles split into vertical and horizontal thirds; ask, "Can differently shaped pieces both be one third? Why?"

3. 03

   Deal cards showing circles and rectangles cut into two, three, or four parts; students sort equal from unequal shares and name the equal shares.

4. 04

   Draw a rectangular brownie pan for four friends and a pizza circle for two friends; have students draw fair cuts and label each share.

• 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.

• 1.G.3c

  Recognize that decomposing into more equal shares creates smaller shares.