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Leaving Cert Trigonometry - Coggle Diagram
Leaving Cert Trigonometry
Prior Knowledge
Pythagoras Theorem and using in on real world problems
Right Angled triangles and trigonometric ratios
Find the length of a side of a right angled triangle using trig ratios
Find angles in a right angled triangle using trig ratios
the use of trig ratios to solve practical problems
Learning Outcomes (Specification)
use trigonometry to solve problems
in 3D
graph the trigonometric functions sine,
cosine, tangent
graph trigonometric functions of type • f(θ)= a+bSin cθ • g(θ) = a+bCos cθ for a,b,c ∈ R
Solving trigonometric equations such as Sin nθ=0 and Cos nθ= ½ giving all solutions
use the radian measure of angles
derive the trigonometric formulae 1, 2,
3, 4, 5, 6, 7, 9 (see appendix)
apply the trigonometric formulae 1-24
(see appendix)
Resources
Geogebra
Desmos
Calculator
Log tables
OneNote
Youtube
Teaching Methodologies
Student led task
Flipped Classroom
Group discussion/ activities
Guided Discovery through appropriate questioning
KWL
Structure of Lessons
Recap Pythagoras
Trig ratios
Converting from degrees to radians and vice versa
The Unit Circle, Quadrants, references angles, if sin cos and tan are +or-
Graphing trigonometric functions, period and range
Graphing functions in the form of a sin n(theta) and a cos n (theta)
Graphing functions a+b sin c (theta) and a+b cos c (theta)
Special angles
Solving trigonometric equations
Sine Rule and Ambiguous case
Cosine Rule
Area of a triangle
Length of an arc and area of a sector
Three Dimensional Problems