Supporting your child’s mathematical journey at Carnforth High School is a fantastic way to build their confidence and show how classroom learning connects to the real world. This interactive guide is designed to help your family navigate the Year 10 curriculum together. By using the table below, you can stay one step ahead of the school calendar.

We’ve paired the school’s official Substantive Knowledge goals with direct BBC Bitesize search links. Whether you are looking to help with a homework task or want to explore a new topic together on a Sunday afternoon, simply click the hyperlinked terms to find videos, step-by-step guides, and practice quizzes. For an extra challenge, look out for the bold terms—these are the Higher Tier topics that stretch students toward the top grades!

Half Term Key Topics Substantive Knowledge (Bold = Higher Tier)
1
  • Enlarge 2D/3D shapes and interpret map scales.
  • Distinguish between congruent and similar shapes.
  • Use area and volume scale factors to find missing values.
  • Apply Pythagoras' theorem and trig ratios in 2D and 3D.
  • Apply Sine, Cosine, and Area Sine rules for non-right-angled triangles.
2
3
  • Find area/circumference of circles, sectors, and arcs.
  • Calculate volume/surface area of cones, spheres, and pyramids.
  • Identify and use Circle Theorems.
  • Perform vector journeys and scalar multiplication.
  • Use vectors for geometric proofs and arguments.
  • Solve sharing problems and best buy currency conversions.
4
  • Calculate simple and compound interest.
  • Work with repeated percentage change, growth, and decay.
  • Solve equations using iterative processes.
  • Create Venn diagrams, frequency trees, and tree diagrams.
  • Apply conditional probability and the product rule.
5
  • Interpret scatter graphs and correlation.
  • Calculate averages from grouped tables.
  • Criticise and interpret different types of charts and graphs.
  • Construct histograms, box plots, and cumulative frequency diagrams.
  • Work with stratified sampling.
6
  • Simplify surds and work with powers of 10.
  • Find the nth term of arithmetic, geometric, and quadratic sequences.
  • Use standard form and laws of indices.
  • Understand fractional and negative indices.
  • Perform calculations with algebraic fractions and algebraic proof.