Teach & case
Help a near-peer reason through the idea — when you explain it, you understand it best — then read the real decision it comes from.
Help Sy pick the design
In a minute you'll be the teacher. Get ready to teach Sy: feasibility first.
Screen out designs that break a hard constraint first, then optimise the ones that pass. A top score means nothing if it's over the weight limit.
What you've shown you can teach
A case · you decide
Sy and the bracket that wins on paper
Sy — a student in a design competition where the best strength-to-weight score wins — but any part over the stress limit is disqualified
Sy's bracket has the best strength-to-weight score of every design on the team. It looks like the clear winner. But the rules have a hard line: any part whose peak stress exceeds the material limit is disqualified — and Sy hasn't checked that yet.
A hard constraint is pass/fail, not a score you can trade against. A design that violates it is INFEASIBLE — it doesn't matter how good its objective score is, because it isn't allowed to exist.
So the order matters: first SCREEN every candidate for the hard constraints (does it stay under the stress limit? under the mass cap?), then RANK the survivors by the objective. Optimizing first and checking later can crown a design that was never eligible.
Sy's top-scoring bracket turns out to exceed the max stress at one joint. Should Sy still submit it because it has the best score?
A second design comes in 2% over the mass cap but scores brilliantly. A teammate says "round the mass down, it's basically at the cap." Feasibility-first?
Sy's habit is the whole lesson: screen feasibility first, optimize second. The flashiest design on the board isn't a contender until it's proven it's even allowed to compete.
When two ideas meet: 2 cases with two people
A case · you decide
Tori and Mala: the cheapest material that passes
Tori & Mala — a designer balancing cost and strength, and a friend who reads material specifications
A shelf bracket must hold 50 N. Mala lists three materials: pine holds 40 N for $2, plywood holds 70 N for $3, and aluminium holds 200 N for $9.
Tori wants the best bracket for the budget. Mala asks what "best" has to mean here.
Which material should they choose?
Mala knew what each material could do. Tori knew what the design actually needed.
A case · you decide
Bex and Dagny: break it, then read the break
Bex & Dagny — a builder who tests prototypes until they fail, and a friend who studies how they failed
Bex's cardboard bridge collapses at 30 N. The target is 45 N.
Dagny looks at the wreck. The deck is intact. It tore away where it was glued to the supports.
What should the next prototype change?
Bex broke it. Dagny read where it broke. The next one holds.