Montana Math MT.4.NF.3

Math4th GradeNumber and Operations – Fractions

The Standard

Understand a fraction a/b with a > 1 as a sum of fractions 1/b by: Understanding addition and subtraction of fractions as joining and separating parts referring to the same whole, Decomposing a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation, Adding and Subtracting mixed numbers with like denominators by replacing each mixed number with an equivalent improper fraction or other efficient strategies, and Solving problems in context that involve addition and subtraction of fractions referring to the same whole or having like denominators. This standard should incorporate cultural context relating to Montana Indigenous Peoples and local communities.

2026 Montana Mathematics Content Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students join and separate equal parts of the same whole, including amounts greater than one. They split fractions into sums in more than one way and add or subtract mixed numbers with matching denominators.

What Mastery Looks Like

A student can write 11/8 as 8/8 + 3/8 and as 6/8 + 5/8, then show both with strips. They can regroup one whole into fourths to solve 2 1/4 − 3/4.

Common Misconceptions

Students may add denominators, turning 2/8 + 3/8 into 5/16. They may treat eighths from different-sized wholes as equal or forget to regroup before subtracting mixed numbers.

How to Assess It

Exit ticket: Draw 7/4, write two different sums of fourths for it, then solve 2 1/4 − 3/4. Show where you regrouped.

Lesson moves

Ways to Teach It

  1. Give pairs paper strips marked in eighths; build 11/8 two ways and record an addition equation for each build.

  2. Read a public Montana tribal food sovereignty garden post; ask, 'Must two garden beds be the same size to combine their eighths?'

  3. Play a card game: draw two mixed numbers in fourths, subtract the smaller from the larger, and check with fraction strips.

  4. Draw a local community garden bed in eighths; assign 3/8 to beans and 2/8 to squash, then find the unplanted share.

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Printable MT.4.NF.3 Worksheet

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A ready-to-print activity worksheet aligned to MT.4.NF.3, with an answer key for the teacher on its own page. No account needed.

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