Number Sense and Systems
Key Concepts
Aesthetics
Form
Related Concepts
Model
Quantity
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?
Debatable 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?
Content
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)
Equations
- 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)
Trigonometry
- Similarity: Similar figures and ratios of corresponding sides
- SOHCAHTOA
- Solving for Sides
- Solving Angles using inverse trig functions
- Problem solving using right angle trigonometry