Montana Math MT.6.RP.3
The Standard
Use ratio and rate reasoning to solve proportional problems in context about unit rates, percentages (as a rate per 100), and/or measurement units using tables or equations. 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 use tables or equations to solve problems about unit rates, percentages, and measurement conversions. They label their answers and explain what each rate means in the situation.
What Mastery Looks Like
- Given four tickets for $10, a student finds $2.50 per ticket and uses that rate to price eight tickets. They can find a 20% discount and convert miles to kilometers using a given conversion factor.
Common Misconceptions
- Students may divide in the wrong order and report tickets per dollar when the question asks for dollars per ticket. They may treat 20% as $20, or change miles to kilometers without changing the number.
How to Assess It
- Exit ticket: Four tickets cost $10. Find the cost of eight tickets, then a 20% discount on that cost. Show a table or equation and label your answers.
Lesson moves
Ways to Teach It
Give pairs a meter stick and tape measure; have them measure a desk in centimeters and meters and record both in a ratio table.
Ask students to write: A $15 ticket is 20% off. Why is the discount $3, not $20? Show a per-100 table.
Play rate match: hand out cards showing 3 apples for $6, $2 per apple, and a matching ratio table; students form trios.
Find miles from Pablo to Polson on a map of the Confederated Salish and Kootenai Tribes' reservation; convert using 1 mile ≈ 1.6 kilometers.
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Printable MT.6.RP.3 Worksheet
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