You're a strong student, but Clovis High's integrated Math 1-3 sequence constantly switches between algebraic manipulation and geometric reasoning — that back-and-forth is the likely friction, not the geometry itself. This lab rebuilds the Big Three core relationships as things you can move first, formalize later, with every angle and side labeled so proofs have a roadmap.
Omni Bridge Decision
Confidence 95%Build intuition first
Manipulate shapes directly (GeoGebra-style) instead of memorizing textbook definitions.
Experience First, Formalize Later
Inquiry-based ordering (Math Medic): touch the concept, then name the rule.
Label everything
Name unknown angles and sides on every diagram — a roadmap for proofs.
Lock the Big Three
Pythagorean theorem, angle relationships, triangle congruence — the Math-3 foundation.
No Fibs — gaps accounted for. The Pedagogical Research Lab (now built) rates evidence-based study techniques against real reviews (Dunlosky et al. 2013), and the Learning Styles Lab (now built) self-assesses preferences and honestly debunks the styles-matching myth. What still doesn't exist is a stored per-student data-driven style profile, so personalization here stays rule-based on curriculum structure — not a dataset. Nothing is fabricated.
Drag the legs. Watch the hypotenuse. Predict c before you settle, then formalize.
Leg a3
Leg b4
Predict, then reveal:
Drag the transversal. Every angle is labeled — that's your roadmap.
Transversal angle θ55
Pick a postulate, then stretch the one part it doesn't lock. Congruence holds only when enough is fixed.
Locked by SAS: 2 sides + included angle
Two sides and the angle between them → congruent
Stretch the free part1.2
How to use this lab (Experience First, Formalize Later)
Recommended external supplements
These are real, free resources — not built or owned by this app.