Year 9 Mathematics

End-of-semester revision across simple interest, Pythagoras, trigonometry, coordinate geometry, algebra, and number foundations.

Web-ready Year 9 end-of-semester revision using Firebase Realtime Database for live sessions.

A focused trigonometry drill: 40 side-label questions, 40 sine/cosine/tangent ratio-choice questions, and 40 side-length calculations. No inverse trig or angle-finding.

LLL refresher with diagrams: boundary versus area clicks, radius identification, then circumference and area calculations.

A magician's workshop where equations are incantations. Strike each glowing plaque to cast its inverse across the equals sign.

Linear graphs step-by-step: substitution, intercepts, plotting, gradients, and real-world problems.

Ten linear-modelling investigations across positive and negative gradients — runners, savers, water tanks, saplings, water bottles, roller-skaters, library readers, phone batteries, hikers, and theatre tickets. Tables, functions, an interactive plot-the-points stage (scaffolded fading to free), and a decision for each.

Intercepts, gradient, y = mx + c, finding equations & linear modelling.

Four real-world scenarios — gym memberships, streaming services, taxi rides, and savings plans. For each, fill the cost tables (t = 0..10), write the algebraic rule yourself (free-text input — no fill-in-the-blank guiding), and plot all three lines on a shared interactive grid by clicking two points per line.

Circles, composite shapes, surface area & volume of prisms and cylinders.

Index laws, zero & negative indices, scientific notation.

Polygons, congruence, enlargement & similar triangles.

Two-step experiments, tree diagrams, with & without replacement, relative frequency.

Stem-and-leaf plots, histograms, distribution shape & comparing data sets.

Expanding binomials, perfect squares, DOTS & factorising.

Five sequential lessons: identifying axes, reading coordinates, plotting points, reading tables, and drawing line graphs from tables. Strict prerequisite progression.