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Yr10A Measurement and Geometry (Pythagoras and Trigonometry (Solving trig…
Yr10A Measurement and Geometry
Using Units of Measurement (calculating volume and surface area)
Volume
Right Pyramids
Right Cones
Spheres
Composite Solids
Surface Area
Spheres
Right Pyramids
Right Cones
Composite Solids
Geometric Reasoning
Angle theorems for circles
Central Angle Theorem
Theory
Proof
Thales' Theorem: Angles in semicircle
Theory
Proof
Cyclic quadrilateral
Angles Subtended By Same Arc
Chord theorems for circles
Perpendicular bi-sector of a chord
chord distance to centre theorem
chord arcs theorem
tangent theorem
common chord perpendicular bisector
perpendicular from chord to centre
Intersecting chords, secants and tangents
intersecting chords
intersecting secants
intersecting tangents
intersecting tangent and secant
Problem Solving: lessons applying these theorems to real world problems. Students have to use a combination of these theorems, picking which ones are relevant.
Pythagoras and Trigonometry
Rules (both derive and implement)
Sine Rule
Cosine Rule
Area Rules
Knowing Base and Height (1/2bh) [PROBABLY WON'T INCLUDE AS T SHOULD BE KNOWN]
knowing all 3 side lengths (Heron's Formula)
Knowing 2 sides, and the angle they make (SAS)
Use unit circle to define trig functions and graph them both by hand, and using digital tech.
Sine
Cosine
Tangent
Unit Circle and ASTC mnemonic
Solving trig equations
trig ratios table (recognising sin(30)=1/2 etc)
Approximating solution using graphs
Solving equations exactly using inverse trig functions and algebra
Creating graphs from data, and use them to extract info from that data
Extension lesson on solving tricky equations
Apply Pythagoras' Theorem to solve 3D problems involving right angled triangles
Pythagoras' Theorem in 3D
"authentic situations"
Trigonometry in 3D
Things i'm not sure about where/if they fit in
Radians
Trig identities
Exponentiated trig functions
Wave formula