Embedded Files
In this standard you will learn applying trigonometric relationships in solving problems.
The key skills are
sine rule
cosine rule
area of a triangle.
length of an arc of a circle
area of a sector of a circle
as91259.pdf
Before you move to applying the sine or cosine rule for Level 2, make sure you understand the foundation of trigonometric ratios at Level 1.
Before you move to applying the sine or cosine rule for Level 2, make sure you understand the foundation of trigonometric ratios at Level 1.
This video recaps all the Year 10 SOH-CAH-TOA learning as well as Pythagoras.
You can use this link to get the overall idea of how we define trig ratios from a right-angled triangle.
Basic navigation spheros activity
Theta Textbook Chapter 29 p413 onwards
(cover page printed in purple - you can borrow from school library for a year)
Ex 29.01 p414
Basic skills on SOHCAHTOA
Ex29.02 p416
Application problems on SOHCAHTOA
Ex29.03 p419
Angles of elevation and depression
Ex29.04 p422
Area of a triangle (connection between SOHCAHTOA and level area of triangles)
From these links, you will learn what is the sine rule and what is cosine rule and how we can apply them to find unknown sides. Work your way through these 4 videos and then answer the questions in the readiness checkers below it. If you would like to see more videos, here is a great playlist from one of Sally's friends at Ormiston College: https://www.youtube.com/watch?v=AiUthkHIbzQ&list=PLGHMh2fiud5cbOf6TG-CE1Bn24wk7z9Ha&index=2
Part one the sine rule: finding the missing side
Part two the sine rule: finding the missing angle
Theta Textbook Chapter 30 p 423
Ex30.01 - 30.02 p 424-425
Getting to know Sine Rule and
Calculating side using Sine Rule
Ex30.03 - 30.04 p 427-429
Calculating angle using Sine Rule
Ex 30.05 - 30.06 p428-432
Word problems on Sine Rule
(Applications including ambiguous case)
Part one the cosine rule: finding the missing side
Part two the cosine rule: finding the missing angle
Theta Textbook Chapter 31 p433
Ex31.01 - 31.02
Basic Cosine Rule and Calculating sides using Cosine Rule
Ex31.03 - 31.04
Basic Cosine Rule and Calculating angles using Cosine Rule
Useful Practical Trigonometry - see
Theta Textbook Chapter 33 p445-451
Area of a non-right-angled triangle:
Area of a non-right-angled triangle:
how to find the area of a triangle when only two sides and the included angle given
Area of a segment - in degrees... For now!
Area of a segment - in degrees... For now!
Area of a segment - in RADIANS - make sure you know how to work in radians before you move onto the questions below. The video should help ;)
Area of a segment - in RADIANS - make sure you know how to work in radians before you move onto the questions below. The video should help ;)
Arc length - these videos below show how to work out arc length in both degrees and radians
Arc length - these videos below show how to work out arc length in both degrees and radians
Mixed Questions and an extended problem
Mixed Questions and an extended problem
Practice Tasks - mark schedules are at the end...
Practice Tasks - mark schedules are at the end...
These tasks will illustrate a need to understand and problem solve around some ideas which are not necessarily ones you have been thinking about recently. None the less, you may be assessed in these areas so worth doing practice activities as early as possible to prepare yourself as best as you can!
91259 Nigel the Designer (extra Practice).pdfCarpet practice task student working.pdf91259 Trig - Mr McGregors Garden REASSESSMENT 2018.odtReport abuse