### Unit 1: Architecture

 Number Sense and SystemsKey ConceptsAestheticsFormRelated ConceptsModelQuantityGlobal ContextPersonal and cultural expressionGlobalization and sustainabilityStatement of InquiryArchitecture has a solid basis in mathematics.Factual Concept QuestionsWhat is the surface area of buildings?What is the only rigid polygonConceptual Concept QuestionsWhat is the relasionship between mathematics/ architecture and aesthetics/ form?Debatable Concept QuestionsWhat makes 'the best' building?Which structure is bigger? e.g. Mayan Pyramid and Pyramid of Giza?Why do we compare the size of buildings?Content3D Solids and MeasurementKnow definitions of simple 3D shapes: eg- Tetrahedron, Icosahedron, etc.Platonic SolidsEuler’s rule and other patterns in vertices, edges and facesConstruct 3D shapes from nets.Pythagoras' Intro, 2D & 3D3D Measurement: Surface Area and Volume of simple 3D shapes (e.g. pyramids, cone, prisms, cylinder, sphere, cuboid, regular 3D solids)percentage errorSignificant Figures and Decimal PlacesPythagoras' TheoremPythagoras' Theorem including surd and decimal approximation solutionsSolving for unknowns including word problemsSolution of Simple Quadratics with no linear term and awareness of no real solution to negativeNumber and AlgebraReview - Four operations (with integers), order of operationsReview of algebraic vocabularyReview of adding/subtracting like termsAlgebraic productsDistributive law (single and double brackets)EquationsSolving Simple Linear Equations with a single variableLinear Inequalities including graphing solutions on a number lineLinear equations involving simple algebraic fractions and finding common denominatorsWord problems – translating words to linear equationsSubstituting into formulae and evaluatingEquations involving expansion (into linear expressions only)TrigonometrySimilarity: Similar figures and ratios of corresponding sidesSOHCAHTOASolving for SidesSolving Angles using inverse trig functionsProblem solving using right angle trigonometry