math
- Interactive Coordinate Plane
Drag a point around the Cartesian grid to read its (x, y) coordinates and quadrant, snap to whole numbers, and reveal its reflections across the x-axis, y-axis, and origin.
- Interactive Multiplication Chart
Hover or arrow-key across a 12×12 multiplication chart to light up any times-table fact, with an area model that shows why a × b is a rectangle of that many squares.
- Interactive Unit Circle
Drag a point around the unit circle to see the angle in degrees and radians, plus sine, cosine, and tangent, with exact values at common angles like 30°, 45°, and 60°.
- Parabola Explorer: Graph Quadratic Functions Interactively
Drag a, b, and c on a live graph of y = ax² + bx + c and watch the vertex, axis of symmetry, roots, and y-intercept respond, with the vertex formula, discriminant, and a full worked example.
- Point-Slope Form: Build a Line From One Point, Interactively
Drag one anchor point and set a slope: the point-slope equation writes itself with live numbers, next to the same line rewritten in slope-intercept form.
- Slope of a Line: Interactive Rise Over Run Explorer
Drag points A and B on a grid and watch the dashed rise-over-run triangle, the slope formula, and the line's equation update live, including the zero and undefined slope cases.
- Slope-Intercept Form: Interactive y = mx + b Grapher
Drag the Slope m and Intercept b sliders and the line y = mx + b redraws live: b pins the y-intercept at (0, b), m sets the rise for every run of 1, with a worked graphing recipe and examples.
- Systems of Equations: Solve by Graphing, Interactively
Steer two lines with slope and intercept sliders; the crossing point is the solution of the system. Make the slopes equal to see the parallel (no solution) and same-line (infinitely many) cases.
- Vertex Form: Shift and Stretch the Parabola, Interactively
Drag the parabola's vertex and h and k follow it in y = a(x - h)² + k; stretch or flip with a against the y = x² ghost, and watch the expanded standard form rewrite itself live.