1.6.H

Math1st Grade

The Standard

identify examples and non-examples of halves and fourths

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What This Standard Means

What Students Need to Do

Students examine shapes split into two or four parts and check whether the parts are equal in size. They identify fair shares and reject unequal partitions.

What Mastery Looks Like

Students correctly sort shapes with equal shares from shapes with unequal shares. They explain that two or four pieces count only when every share is the same size.

Common Misconceptions

Students may count pieces without checking whether they are equal in size. They may reject diagonal or differently shaped equal shares because they expect matching rectangles.

How to Assess It

Give students six partitioned shapes, including equal and unequal shares. Ask them to circle the fair shares and explain one choice using the word equal.

Lesson moves

Ways to Teach It

  1. Have students fold paper squares into two and four equal shares, then compare their folds with teacher-made uneven cuts.

  2. Ask, “Does cutting a sandwich into four pieces always make fair shares?” Students draw and explain an example and a counterexample.

  3. Play a card sort where pairs race to place partitioned shape cards under “equal shares” or “unequal shares” headings.

  4. Show pictures of pizzas and brownies cut for sharing, then have students decide which groups received fair portions.

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