Montana Math MT.7.NS.2
The Standard
Multiply and divide rational numbers and use operations of rational numbers to solve problems in context. 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 and divide positive and negative fractions and decimals. They use those calculations to solve problems about costs, distances, and temperature changes.
What Mastery Looks Like
- A student can calculate that a change of −3/4°F repeated eight times is −6°F. They can divide −6°F by −3/4°F per hour to find eight hours, then explain why the quotient is positive.
Common Misconceptions
- Students may think a negative divided by a negative gives a negative answer. When dividing fractions, they may flip both fractions instead of only the divisor. They may also confuse a total temperature change with the final temperature.
How to Assess It
- Exit ticket: A temperature changes by −2.5°F each hour for four hours. Find the total change, then divide by −2.5°F per hour to check the number of hours.
Lesson moves
Ways to Teach It
Give pairs red counters worth −0.5 each; build four groups of five counters to model 4 × (−2.5).
Ask, “A thermometer shows a 1.5°F drop each hour for four hours; what does −6°F describe?”
Make cards marked −3/4, 1/2, −2, and 4; pairs draw two numbers and × or ÷, then check each other’s answers.
Use a public flyer for a Montana tribal college event; calculate round-trip travel cost from map miles at $0.35 per mile.
Free download
Printable MT.7.NS.2 Worksheet
A ready-to-print activity worksheet aligned to MT.7.NS.2, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- MT.7.EE.4
Use variables to represent quantities and construct simple equations and inequalities to solve problems in context. This standard should incorporate cultural co...
- MT.4.OA.3
Solve multistep problems in context with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be...
- MT.5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths using concrete models or drawings. This standard should incorporate designs and cultural context rela...
- MT.5.NF.6
Solve problems in context that involve multiplication of fractions and mixed numbers. This standard should incorporate cultural context relating to Montana Indi...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson