Montana Math MT.5.NF.6
The Standard
Solve problems in context that involve multiplication of fractions and mixed numbers. 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 multiply fractions and mixed numbers to solve problems, such as finding the area of a garden bed. They show their work, label the answer, and check that it fits the situation.
What Mastery Looks Like
- Given a garden bed 2 1/2 yards long and 3/4 yard wide, a student finds an area of 1 7/8 square yards. They can show why the answer is less than 2 1/2 square yards.
Common Misconceptions
- Some students add the numbers instead of multiplying, or multiply the whole-number and fraction parts separately. Others think multiplication always makes an answer larger or label area in yards instead of square yards.
How to Assess It
- Exit ticket: A garden bed is 2 1/2 yards long and 3/4 yard wide. Find its area in square yards and explain why your answer makes sense.
Lesson moves
Ways to Teach It
Shade a fictional 2 1/2-by-3/4-yard garden bed on quarter-yard grid paper for a community center on the Confederated Salish and Kootenai Tribes' Flathead Reservation.
Ask, 'Why is the area of a 2 1/2-by-3/4-yard garden bed less than 2 1/2 square yards? Draw it.'
In pairs, draw two cards labeled 1/2, 3/4, 1 1/2, or 2 1/3 yards, then multiply to find a garden bed's area.
Use a mock Montana farmers market sign pricing cherries at $4.50 per pound; calculate the cost of 2/3 pound.
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Printable MT.5.NF.6 Worksheet
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