Montana Math MT.5.NF.1

Math5th GradeNumber and Operations – Fractions

The Standard

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions.

2026 Montana Mathematics Content Standards

Teacher's field guide

What This Standard Means

What Students Need to Do

Students find a common denominator and rewrite fractions as equivalent fractions. They add or subtract, regrouping mixed numbers when needed.

What Mastery Looks Like

A student can show why 2 1/4 minus 5/6 equals 1 5/12, including how they regrouped. They check whether the answer makes sense.

Common Misconceptions

Students may add denominators, writing 1/2 plus 1/3 as 2/5. They may change a denominator without changing the numerator, or forget to regroup before subtracting.

How to Assess It

Exit ticket: Solve 2 1/4 minus 5/6. Show the equivalent fractions you used and any regrouping.

Lesson moves

Ways to Teach It

  1. Cut paper strips into halves and sixths, then use them to model 1 1/2 minus 2/3.

  2. Ask students to draw a picture explaining why 1/2 plus 1/3 cannot equal 2/5.

  3. Put 1/2, 2/3, 3/4, and 5/6 on cards; partners draw two, add 1 to the first, then subtract the second.

  4. Give students a recipe using 1 1/2 cups of flour and 2/3 cup of oats; ask for the total.

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Printable MT.5.NF.1 Worksheet

Preview of the MT.5.NF.1 printable worksheet

A ready-to-print activity worksheet aligned to MT.5.NF.1, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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