1.6.G
The Standard
partition two-dimensional figures into two and four fair shares or equal parts and describe the parts using words
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split flat shapes into two or four equal-sized shares. They use words such as halves and fourths to describe each share.
What Mastery Looks Like
- Students divide circles, squares, and rectangles into two or four equal-sized pieces. They correctly name one piece as a half or a fourth and explain that all shares are equal.
Common Misconceptions
- Students may count the pieces without checking whether they are the same size. They may call any two pieces halves or confuse fourths with four whole shapes.
How to Assess It
- Give students a rectangle and ask them to show fourths, then circle one fourth. Have them explain how they know the shares are equal.
Lesson moves
Ways to Teach It
Give pairs paper circles and squares to fold and cut into two equal shares, then four equal shares.
Show two divided rectangles and ask, “Which one shows fair shares, and how do you know?”
Play Share Sort by having students place shape cards under halves, fourths, or not equal.
Plan how to share one sandwich equally between two children and one pan of brownies equally among four children.
Keep exploring
Related Standards
- 3.3.E
solve problems involving partitioning an object or a set of objects among two or more recipients using pictorial representations of fractions with denominators ...
- 2.8.E
decompose two-dimensional shapes such as cutting out a square from a rectangle, dividing a shape in half, or partitioning a rectangle into identical triangles a...
- 3.6.E
decompose two congruent two-dimensional figures into parts with equal areas and express the area of each part as a unit fraction of the whole and recognize that...
- 2.3.A
partition objects into equal parts and name the parts, including halves, fourths, and eighths, using words
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