Unit 1: Architecture

Number Sense and Systems

Key Concepts



Related Concepts



Global Context

Personal and cultural expression

Globalization and sustainability

Statement of Inquiry

Architecture has a solid basis in mathematics.

Factual Concept Questions

What is the surface area of buildings?

What is the only rigid polygon

Conceptual Concept Questions

What is the relasionship between mathematics/ architecture and aesthetics/ form?

Concept Questions

What makes 'the best' building?

Which structure is bigger? e.g. Mayan Pyramid and Pyramid of Giza?

Why do we compare the size of buildings?


3D Solids and Measurement

  • Know definitions of simple 3D shapes: eg- Tetrahedron, Icosahedron, etc.
  • Platonic Solids
  • Euler’s rule and other patterns in vertices, edges and faces
  • Construct 3D shapes from nets.
  • Pythagoras' Intro, 2D & 3D
  • 3D Measurement: Surface Area and Volume of simple 3D shapes (e.g. pyramids, cone, prisms, cylinder, sphere, cuboid, regular 3D solids)
  • percentage error
  • Significant Figures and Decimal Places

Pythagoras' Theorem

  • Pythagoras' Theorem including surd and decimal approximation solutions

  • Solving for unknowns including word problems

  • Solution of Simple Quadratics with no linear term and awareness of no real solution to negative

Number and Algebra

  • Review - Four operations (with integers), order of operations
  • Review of algebraic vocabulary
  • Review of adding/subtracting like terms
  • Algebraic products
  • Distributive law (single and double brackets)


  • Solving Simple Linear Equations with a single variable
  • Linear Inequalities including graphing solutions on a number line
  • Linear equations involving simple algebraic fractions and finding common denominators
  • Word problems – translating words to linear equations
  • Substituting into formulae and evaluating
  • Equations involving expansion (into linear expressions only)


  • Similarity: Similar figures and ratios of corresponding sides
  • Solving for Sides
  • Solving Angles using inverse trig functions
  • Problem solving using right angle trigonometry