Question variety
1 full investigation + 6 transfer challenges
3x + 7 = 25
Rigor at this level
Compare routes, verify by substitution, and transfer.
To advance
Meet every mastery check below—not simply finish the questions.
Research prototype · hybrid inquiry
Master linear equations
Begin with balance, build understanding through inquiry, and progress toward unfamiliar applications. Advancement requires more than one correct answer.
Available to use now
Seven working activities
All seven levels of the pathway are interactive student activities.
Your starting point
Begin with a short entry check
The entry check finds the earliest idea that needs attention. It does not lower the destination or permanently label a student.
Learning pathway
Understanding grows in seven levels
Click a level to read its plan. All seven levels have activities.
Mastery check
What counts as mastery? (Level 3)
This reflects what you've actually demonstrated in the Level 3 activity this browser session — not a score, and not evidence usable on its own without real learner testing. Level 2 tracks its own evidence inside its activity.
- At least 5 of the last 6 questions correct
- A correct explanation of why the method works
- Successful correction of an error
- One unfamiliar transfer problem without a full solution guide
After mastery
Continue into connected ideas
Recommendations unlock after the expert application—not merely after viewing every level.
Literal equations →Inequalities →Systems of equations →Linear functions →Equation modeling →Rational equations →Variation →Work problems →Similar triangles (Geometry) →
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