Velocity Arena — Interactive Math Concepts

Week 1

Unit Rate

How fast is your bot?
Distance ÷ time = cm per second

Week 1

Ratio

Compare two numbers. Speed to Power. 6:4 → 3:2

Week 1–3

Proportional Scaling

Double the input — does the output double? Not always.

Week 1–3

Linear Decay

Your bot loses power over time. How fast? That's the rate.

Week 1–2

Coordinate Geometry

Where is your bot? (x, y) points on the grid. Distance formula.

Week 1

Arc Approximation

Straight lines make curves. More segments = better match.

Week 2–3

Slope = Rate of Change

Rise ÷ run. How fast things go up — or down.

Week 1

Budget Constraint

20 points. 4 stats. Every choice has a cost. S+E+T+P = 20

Week 3

Percent Change

Season 2 reallocation. How much did your stat change? (New − Old) ÷ Old × 100.

Week 2–3

Graphs

Plot your bot's performance over time. Points on a grid. Lines tell a story.

Week 2–3

Linear Equations

y = mx + b. Plug in your stats. Predict the outcome.

Week 3–4

Data & Residuals

Match data. Mean and range. Fit a prediction line, minimize the residuals.

All Weeks

Playground

All 8 concepts in one canvas. Quick visualizations for demos and exploration.