Montana Math MT.2.G.3
The Standard
Partition circles and rectangles into equal shares, recognize that equal shares need not have the same shape, and express the shares in two-halves, three-thirds, and four-fourths.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide circles and rectangles into two, three, or four equal shares. They name one share as a half, a third, or a fourth, even when equal shares have different shapes.
What Mastery Looks Like
- A student can draw equal shares in a circle or rectangle and label each share correctly. On a grid, they can count squares to show that differently shaped pieces have the same area.
Common Misconceptions
- Students may call any two pieces halves, even when one is larger. They may think pieces must have the same shape to be equal. Some call one piece of a four-part whole four fourths instead of one fourth.
How to Assess It
- Draw a circle with three equal slices and a 4-by-4 rectangle divided into two 1-by-4 strips and two 2-by-2 squares. Ask, “Name one share in each shape. Are the rectangle shares equal? How do you know?”
Lesson moves
Ways to Teach It
Fold paper rectangles into halves and fourths, then cut and stack the pieces to check whether the shares match.
Show a 4-by-4 grid with two 1-by-4 strips and two 2-by-2 squares; ask, “Why is each piece one fourth?”
Play Share Sort with cards showing circles and rectangles divided into two, three, or four parts; sort equal shares from unequal shares.
Sketch a round pizza cut into three equal slices and a rectangular brownie pan cut into four equal pieces; label one serving from each.
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Printable MT.2.G.3 Worksheet
A ready-to-print activity worksheet aligned to MT.2.G.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MT.4.NBT.6
Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, flexibly using strategies based on place value, the propertie...
- MT.1.G.4
Partition circles and rectangles into two and four equal shares. Describe the shares using the words: halves, fourths, and quarters.
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