Public Practice Guide
Use this guide to see the type of reasoning MathRoutine expects for grade 7 inequalities word problems. The goal is not worksheet volume; it is helping students read the situation, choose a model, and explain why the answer fits.
What Students Practice
Reasoning Patterns
Sample Problems
These grade-specific examples show the kind of student-visible reasoning MathRoutine is designed to support: identifying the important quantities, choosing the right structure, and checking the final answer against the story.
A school club has at most $240 for a banner order. The design fee is $36, and each banner costs $18. What is the greatest number of banners the club can order?
Reasoning Strategy
Write 36 + 18b <= 240 and choose the greatest whole-number solution.
AI Support Preview
Make 'at most' and whole-number banners both visible.
A student needs at least 450 practice minutes this month. The student already has 165 minutes and plans to practice 35 minutes per day. How many more days are needed?
Reasoning Strategy
Model the remaining minutes with a greater-than-or-equal inequality.
AI Support Preview
Translate 'at least' as meeting or passing the target.
A ride requires riders to be more than 54 inches tall. Jordan is 51.6 inches tall and grows about 0.3 inch per month. After how many whole months can Jordan ride?
Reasoning Strategy
Solve 51.6 + 0.3m > 54 and round up to the first whole month that works.
AI Support Preview
Emphasize the strict 'more than' condition.
Practice Ladder
Modeled after middle-school workbook expectations: combine fluency with ratio, percent, equation, and geometry reasoning rather than only isolated computation.
Translate the language into a mathematical relationship.
Solve while tracking constraints, units, and intermediate quantities.
Check whether the solution makes sense in the original context.
Assessment Signals
A guide is useful only if it clarifies what teachers and parents should look for in student work. MathRoutine tracks these signals during practice instead of treating every miss as the same mistake.
Common Mistakes
Learning Loop
A strong word problem platform should not only say right or wrong. It should notice the pattern: missed unit rate, ignored leftover, reversed comparison, wrong base percent, or equation setup error.
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Attempt
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Diagnosis
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Next practice
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