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First five lessons

1. Read binary the way registers store it
2. Use hexadecimal for colors and bytes
3. Find place value and bit positions
4. Use remainders and modulo loops
5. Avoid integer overflow

Used for: types, memory, colors, and timing.

First five lessons

1. Write game rules as expressions
2. Solve for missing speed, time, or damage
3. Model linear growth and difficulty
4. Model projectile arcs and height
5. Scale values with exponents and logarithms

Used for: gameplay formulas and balancing.

First five lessons

1. Decide with AND, OR, and NOT
2. Read truth tables for game input
3. Flag states with bit masks
4. Count outcomes with permutations and combinations
5. Model menus, maps, and states with graphs

Used for: input, states, circuits, and collision layers.

First five lessons

1. Represent position and displacement
2. Normalize movement and aim direction
3. Check facing and projection with dot products
4. Rotate and scale with matrices
5. Convert local, world, and screen coordinates

Used for: sprites, cameras, and physics.

First five lessons

1. Measure position with radians and degrees
2. Create oscillation with sine and cosine
3. Rotate sprites and turrets
4. Aim with angles and inverse trigonometry
5. Control phase, frequency, and amplitude

Used for: orbits, waves, and animation.

First five lessons

1. Work in pixel coordinates and screen space
2. Measure distance and midpoints
3. Draw rectangles, circles, and polygons
4. Test hits with bounding boxes
5. Lay out levels with geometric transforms

Used for: rendering, levels, and collisions.

First five lessons

1. Track velocity as changing position
2. Respond to acceleration and force
3. Accumulate motion across animation frames
4. Ease movement in and out naturally
5. Update on a fixed timestep

Used for: smooth motion and physics tuning.

First five lessons

1. Seed random outcomes fairly
2. Choose uniform versus weighted outcomes
3. Calculate expected loot and damage
4. Sample data with averages and histograms
5. Vary content with procedural noise

Used for: loot, terrain, and balancing.

First five lessons

1. Understand floats and rounding
2. Compare values with tolerances
3. Interpolate and clamp safely
4. Choose units and scales deliberately
5. Avoid unstable calculations

Used for: hardware math and simulations.

First five lessons

1. Relate position, velocity, and time
2. Build gravity and jumping arcs
3. Simulate friction, drag, and springs
4. Detect collisions and calculate bounce
5. Measure timing, frequency, and signals

Used for: game feel and hardware timing.