Montana Math MT.6.NS.1

Math6th GradeThe Number System

The Standard

Represent, interpret, and compute quotients of fractions and solve problems in context involving division of fractions by fractions.

2026 Montana Mathematics Content Standards

Teacher's field guide

What Students Need to Do: Students use fraction strips or sketches to show how many groups of one fraction fit in another. They calculate the answer and explain what it means in a word problem.
What Mastery Looks Like: With 3/4 cup of oats and 1/2 cup per batch, a student shows 1 1/2 batches on a fraction strip. They calculate the quotient and check it by multiplying.
Common Misconceptions: Students may flip the first fraction instead of the divisor. Some think division must make a number smaller, so they reject a larger answer. Others count a leftover piece as a full group.
How to Assess It: Exit ticket: A recipe needs 1/2 cup of oats per batch, and you have 3/4 cup. Draw a fraction strip, find how many batches you can make, and explain what the half batch means.

Lesson moves

Give pairs paper fraction strips to show how many 1/2-cup servings fit in 3/4 cup, including the half serving.
Ask, 'Why is 3/4 divided by 1/2 greater than 3/4?' Have students explain with a drawing and a sentence.
Make cards showing 2/3 ÷ 1/6, the answer 4, and a matching number line; have pairs find the three-card match.
Show a recipe using 1/3 cup of rice per serving; ask how many servings 3/4 cup of rice can make.

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$Preview of the MT.6.NS.1 printable worksheet$

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