Montana Math MT.7.EE.3
The Standard
Write and solve one- and two-step equations including problems in context with rational numbers, convert between forms as appropriate, and assess the reasonableness of answers.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write one- and two-step equations from word problems and solve them with fractions or decimals, including negative numbers. They change between fractions and decimals when useful and check whether their answers make sense.
What Mastery Looks Like
- A student can name the unknown, write an equation for a starting amount and a rate, and solve it. They check by putting the answer back into the equation and explaining whether it fits the situation.
Common Misconceptions
- Students may undo operations in the wrong order or divide only one side of an equation. They may treat a negative answer as automatically wrong or rewrite 0.75 as 3/5 instead of 3/4.
How to Assess It
- A tank starts with 1.5 liters and gains 0.75 liters per minute. How many minutes until it holds 4.5 liters? Write and solve an equation, rewrite 0.75 as a fraction, and check your answer.
Lesson moves
Ways to Teach It
Use fraction strips to build 2x + 1/2 = 2, then remove 1/2 and split the rest into two equal groups.
Post 3x - 1.5 = 6 and ask partners to explain why adding 1.5 comes before dividing by 3.
Give pairs cards for equations, answers, and substitution checks, including 2x + 0.5 = -0.5; pairs race to match sets.
Use a receipt with a $2.50 fee and three identical items totaling $14.50; students find each price and check the total.
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Printable MT.7.EE.3 Worksheet
A ready-to-print activity worksheet aligned to MT.7.EE.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
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Solve two-step problems in context using the four operations, represent these problems using equations with a letter standing for the unknown quantity and asses...
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Solve multistep problems in context with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be...
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