A question worth
thinking about.
Build a model. Test a claim. Explain what changed your mind.
Can everyone
get a cup?
Two quantities look similar. One assumption changes the answer.
Who improved
the most?
Choose a rule before you choose a winner.
Which plan
is really cheaper?
A recommendation is only as good as its assumptions.
Your thinking is the work.
These investigations are for supported work in class. AoPS and Problem-Centered Sets also remain in-class challenges.
- 01 · ATTEMPT Commit to an initial idea.
- 02 · MODEL Make the quantities visible.
- 03 · CHALLENGE Find a case that tests the claim.
- 04 · DEFEND & REVISE Explain, then improve.
Notice. Revisit. Explain. Apply.
An assessment gives us evidence for the next step. Students identify a strength, revisit a problem, explain their reasoning, and try a related problem independently. Then they choose a specific action to prepare for the next assessment.
Grade 6 uses a guided reflection and correction routine; eligible corrections may earn partial credit under the teacher’s current school policy. Grades 7 and 8 complete a separate reflection and mathematical-analysis assignment while the original assessment score stays unchanged.