Montana Math MT.6.EE.7
The Standard
Write an inequality of the form x > c or x < c to represent a constraint or condition in problems including problems in context; graph and describe solutions of such inequalities on number line diagrams.
2026 Montana Mathematics Content Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn conditions like 'below 5' and 'more than 5' into inequalities. They graph the solutions on a number line and explain which values work.
What Mastery Looks Like
- For 'the temperature is below 3°C,' a student writes x < 3, marks an open circle at 3, and shades left. They can explain why 2 works and 3 does not.
Common Misconceptions
- Students may draw a filled circle and include the boundary value. They may also reverse the inequality sign or shade the wrong side, especially when the boundary is negative.
How to Assess It
- Exit ticket: 'The temperature is below -2°C. Let x be the temperature. Write the inequality, graph it, and say whether -2°C and -3°C qualify.'
Lesson moves
Ways to Teach It
On a taped floor number line, students place an open-circle marker at 3 and lay string left for 'temperature below 3°C.'
Ask, 'Does -2 work for x < -2? Does -3? Explain your graph to a partner.'
Give pairs inequality cards and number-line graph cards, including x < -2 and x > 4; have them match each pair.
Show a seed packet reading 'plant above 50°F'; have students write x > 50 and graph the qualifying soil temperatures.
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Printable MT.6.EE.7 Worksheet
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