Title: Using Trigonometry to solve puzzles
Challenge Question
How do we know which trigonometric rule to use?
How do we know which trigonometric rule to use?
Learning Targets
Beginning
Understand how to use Trigonometry with to solve problems with right-angled triangles including solving puzzles in 3D.
Understand how to use Trigonometry with to solve problems with right-angled triangles including solving puzzles in 3D.
Developing
To to able to use the Sine and Cosine Rules to find the missing side or angle in any triangle.
Mastering
Use Trigonometry to find the area of a triangle.
Resources
This lesson is designed to help you identify which trigonometric rule to use when solving puzzles involving triangles.
You often know how to use these rules in isolation however many of you find it hard to identify which rule to use in the first place.
This lesson is designed to help you identify which trigonometric rule to use when solving puzzles involving triangles.
You often know how to use these rules in isolation however many of you find it hard to identify which rule to use in the first place.
Starter
Download a copy of this diagram here: Which trigonometric rule do I use?
Sort these questions, workings, formula and answers.
Beginning
This section is designed to help you challenge yourself to fully understand the use of SOHCAHTOA (remember you need to memorise SOHCAHTOA for the exam).
Video help: Intro to Trigonometry, Tan Function, Sin and Cos Function
Sort these questions, workings, formula and answers.
Beginning
This section is designed to help you challenge yourself to fully understand the use of SOHCAHTOA (remember you need to memorise SOHCAHTOA for the exam).
Video help: Intro to Trigonometry, Tan Function, Sin and Cos Function
Developing
This section is designed to help you challenge yourself to fully understand the use of the Sine and Cosine Rules (remember these rules will be given to you in the exam).
Video Help: Sine and Cosine Rules
This section is designed to help you challenge yourself to fully understand the use of the Sine and Cosine Rules (remember these rules will be given to you in the exam).
Video Help: Sine and Cosine Rules
Work through the standard Sine and Cosine questions at your own pace - skipping questions to challenge yourself.
As quick as possible move onto the mixed questions and real world puzzles.
As quick as possible move onto the mixed questions and real world puzzles.
Once you fully understand SOHCAHTOA and the Sine and Cosine Rules this section is designed to help you challenge yourself to fully understand how to find the area of any triangle (remember you need to memorise SOHCAHTOA for the exam).
Video Help: Area of triangles (Trig)
Video Help: Area of triangles (Trig)
Homework
MyMaths (A-A* Boosters)
Further & Additional
Title: Sine and Cosine Graphs
Challenge Question
How can we establish how many solutions any graphs has between 0 and 360 degrees?
Learning Targets
Beginning
To understand the effect of different transformation on Sine and Cosine graphs.
Developing
To be able to find a sequence of solutions to trigonometric functions.
Mastering
To be able to solve complex puzzles involving trigonometric functions.
Resources
This lesson as been designed to build on your understanding of trigonometric graphs and transformation of graphs which were studied last term.
Beginning
Matching Trig Graphs
Developing
Building on your understanding of trigonometric graphs continue with your work on Exercise 7B on page 133.
Mastering
Test your understanding of trigonometric graphs both abstract and in real world contexts.
Trig Graphs (including answers)
Homework
Take your textbook home and complete the investigation on page 135.
Take your textbook home and complete the investigation on page 135.
