VCE Vault

Year 10 Mathematics

Year 10 Mathematics on VCE Vault: 16 lessons written for Year 10 (Victorian Curriculum), each with worked examples, practice questions and Aari, an AI tutor. The first 4 lessons are free; the whole subject is a one-off A$10.99.

Lessons

Number and Algebra

  • Quadratic Equations — Solving and Factorising (free) — Solve quadratic equations by factorising, completing the square and using the formula.
  • Parabolas — Graphing Quadratic Functions (free) — Sketch, analyse and interpret parabolas in multiple forms.
  • Surds and Exact Values (free) — Simplify and perform operations with surds, leaving answers in exact form.
  • Polynomials and Higher-Degree Functions — Identify, sketch and analyse polynomial functions of degree 3 and above.
  • Exponential Functions — Sketch, transform, and model with exponential functions.
  • Financial Mathematics Deep Dive — Analyse loans, investments, and financial decisions using compound interest and annuities.
  • Logarithms — Introduction (10A) — Convert between exponential and logarithmic form, apply the log laws and solve simple exponential equations.
  • Applications and Problem-Solving — Apply Year 10 mathematics to complex, multi-step, and unfamiliar problems.
  • Pathways to VCE Mathematics — Understand the VCE mathematics pathway options and consolidate Year 10 foundations.

Measurement and Geometry

  • Advanced Trigonometry (free) — Apply the sine rule, cosine rule, and area formula to non-right-angled triangles.
  • Circle Geometry — Prove and apply circle theorems to solve geometry problems.
  • Surface Area and Volume — Pyramids, Cones and Spheres — Calculate the surface area and volume of pyramids, cones and spheres, and solve related problems.

Statistics and Probability

  • Measures of Spread — Standard Deviation — Calculate and interpret standard deviation as a measure of spread.
  • Bivariate Data and Correlation — Analyse relationships between two variables using scatter plots and lines of best fit.
  • Probability — Conditional and Independence — Apply conditional probability and the definition of independent events.

Algorithms and Computational Thinking

  • Algorithms for Solving Equations — Bisection, Iteration and Exponential Models — Design and test iterative algorithms that approximate solutions to equations (including the bisection method) and that model exponential growth and decay, and evaluate their accuracy.