Maths: Age 14

11 illustrated Maths lessons for Age 14.

Measuring a tree with its shadow In a right triangle, sine, cosine and tangent are ratios of two side lengths that depend only on the size of a…
Parallel Bars Across Two Rods When two parallel lines cut across two rays that start at the same point, the pieces they cut are in proportio…
Thales's theorem in nested triangles When a line parallel to the base of a triangle cuts the two other sides, it creates a smaller triangle with si…
Working out body mass index Body mass index (BMI) is your mass in kilograms divided by your height in metres multiplied by itself. The ans…
Thales and the nested triangles When two lines start from the same point and two parallel lines cut across them, you get a small triangle insi…
Parallel Lines Cutting Two Lines Two straight lines cross at a point. Two parallel lines cut across them and form two triangles; each side of o…
Scaling a Model Distances from fixed reference points are multiplied by the same factor. The new point lies where three distan…
Parallel Lines Across a Triangle A line drawn parallel to one side of a triangle cuts the other two sides so that the pieces keep the same prop…
Straight-Line Growth An affine function starts at a value where its line crosses the vertical axis. Then it adds the same amount fo…
Ramp with Right Triangles A ramp and upright posts make several right-angled triangles that share the same acute corner. For that angle,…
Level Balance Pans A level balance holds two identical cloth pouches and two wooden cubes on the left, and one identical pouch an…