Maths: Age 16

9 illustrated Maths lessons for Age 16.

The slope of a curve at one point Pick a point on a curve and draw a line through it and a second point. As the second point slides closer, the …
Secant lines close in on the tangent Draw a line through a fixed point on a curve and a second point on the curve, then slide the second point clos…
From secant lines to the tangent A secant line cuts a curve at two points. When the second point slides toward the first, the secant turns unti…
Five Doubling Columns A row of five red columns grows taller from left to right, each one twice the height of the previous column. I…
Upward and downward parabolas A quadratic function y = ax² + bx + c graphs as a parabola. The sign of a decides whether the curve opens upwa…
Tangent Line and Slope At a point on a curve, the tangent line touches the curve and points in the same direction as the curve there.…
Two Vectors on a Grid Two arrows start at the same point on a grid, with an open angle between them. The dot product combines their …
Two Ways to Grow In an arithmetic sequence, each step adds the same fixed amount, so values grow in a straight line. In a geome…
The Tangent Line Shows the Slope The derivative of a function at a point tells you how steep its curve is exactly there. You find it by drawing…