Home Projects
Math for fixing and building around the house
9 live exhibits. Each one already works. Change a number and see what happens.
Open as board Play with these together. Solving one grows related exhibits.
GeometryLadder against a wall: how high will it reach?
A ladder, a wall, and the ground make a right triangle. Pythagoras does the rest.
Linear EquationsHow many amps does it draw?
Watts divided by volts gives amps. That decides the breaker and the wire.
Linear EquationsRoof pitch and ramp slope: rise over run
Slope is one number that decides whether a roof sheds water or a ramp is safe to roll up.
GeometryHow much concrete for a slab?
Length × width × depth, plus a little extra. Get it right and you won’t run short mid-pour.
QuadraticsThe biggest garden from a fixed fence
Same fence, different shapes. A quadratic finds the one with the most room.
TrigonometryHow tall is that tree? Measure its shadow
One shadow and the sun’s angle give you the height, no climbing needed.
Ratios & ProportionsWire resistance: longer and thinner resist more
Resistance grows with length and shrinks with thickness. Pick the wire that keeps it low.
Linear EquationsVoltage drop: what the wire takes before the load gets it
Current times wire resistance is voltage you never get to use.
Systems of EquationsMixing solutions: how much of each?
Two strengths, one target. Two equations tell you exactly how much of each to pour.