Maker Math: Vectors, trig, ratios, interpolation, geometry, and measurement that directly support games, electronics, fabrication, and equipment work.
Topic group
Maker Math
Vectors, trig, ratios, interpolation, geometry, and measurement that directly support games, electronics, fabrication, and equipment work.
Topic goal to ladder route
A topic names the maker goal. A ladder is the route from what you already understand to the next useful proof.
Name the part of the build you cannot explain yet.
Start with Motion Tracking with Vector Velocity, then choose the next related route.
Compare two positions, compute the delta vector, divide by elapsed time, and explain speed and direction without hiding units or uncertainty.
Motion Tracking with Vector Velocity
Turn two position samples into direction, speed, and a useful motion note for games, robots, camera tracking, or sensor logs.
Outcome: Compare two positions, compute the delta vector, divide by elapsed time, and explain speed and direction without hiding units or uncertainty.
Vectors for Maker Projects
Use vectors as arrows with size and direction so game movement, sensor orientation, force sketches, and layout offsets become inspectable.
Outcome: Describe a movement, force, sensor direction, or offset as a vector and explain what the numbers mean.
Dot Product for Facing and Projection
Use dot product to answer practical questions: is one thing facing another, how much motion points forward, or how much light hits a surface.
Outcome: Use dot product as a yes/no or how-much signal for facing, projection, lighting, and control problems.
Trigonometry for Rotation and Layout
Use sine, cosine, tangent, radians, and atan2 to turn angles into positions, rotations, slopes, and repeatable layout checks.
Outcome: Move between an angle, a side length, and a coordinate change without guessing.
Calculus for Game Motion
Use slope, velocity, acceleration, area, and frame time to reason about game motion before tuning jumps, slides, camera movement, projectiles, or drone-style motion values.
Outcome: Connect position, velocity, acceleration, and frame time so a motion change can be predicted before it is tuned.
Scale, Ratio, and Unit Conversions
Use ratios, scale factors, and unit conversions to move between drawings, material lists, sensor readings, and real dimensions.
Outcome: Convert a drawing, measurement, or material estimate into the units the project actually needs.
Interpolation for Motion and Controls
Use interpolation to move between two values in a controlled way: animation, smoothing, servo targets, UI sliders, and parameter changes.
Outcome: Explain what start value, end value, and progress value produce a smooth transition.
Geometry for Cuts, Clearance, and Fit
Use simple geometry to reason about square corners, clearances, hole spacing, diagonal checks, and parts that need to fit before cutting material.
Outcome: Check a physical layout with diagonals, offsets, spacing, and clearance before making a permanent cut.
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