Public Practice Guide
Use this guide to see the type of reasoning MathRoutine expects for grade 9 similar triangles 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.
Two similar triangles have corresponding sides 8 cm and 20 cm. The smaller triangle has area 48 square cm. What is the larger triangle's area?
Reasoning Strategy
Square the side scale factor before scaling area.
AI Support Preview
Separate linear scale from area scale.
Practice Ladder
Modeled after Algebra 1/Algebra 2 workbook expectations: interpret a function or equation in context, solve or compare it, then justify the meaning of the answer.
Name the figure, measurement, or relationship required by the story.
Choose the correct formula, similarity relationship, or coordinate model.
Check that the final unit matches the question: length, area, volume, angle, or count.
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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