This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Advanced 11-12 Syllabus (2024). It covers half of the dot points from Trigonometry and measure of angles & Trigonometric identities and equations.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 146 examples have been recorded, so that you can watch an experienced maths teacher talk through the examples and any important points to note.
New and existing content is explored in detail, including interesting and more efficient techniques that experienced teachers may not have seen before. Important points to be covered with students are noted, and the limits of the syllabus are discussed.
The course includes:
•146 recorded examples
•A total of 75 quiz questions at the end of each lesson
•A 288 page course handout in two formats – one with blank space for you to complete the examples and a second with completed solutions to the examples.
•A 67 page exercise booklet with 146 optional practice questions matching the examples from the course, with fully worked solutions.
The Mathematics Advanced 11-12 Syllabus (2024) will be covered in eleven courses. The courses are:
This course is suitable for teachers with any level of previous experience.
2.1.2 Proficient Level - Know the content and how to teach it - Content and teaching strategies of the teaching area: Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities
Course information and introduction
2024 Syllabuses
Advanced scopes and sequences
How is teaching Advanced different to teaching Standard?
General hints for student success in Advanced
Summary of the content in this course
What has changed from the 2017 syllabus?
List of lessons
Lesson introduction
Understanding trigonometry
Defining intervals around the unit circle
Introducing the angle at the centre of the circle
Linking trigonometric ratios and intervals in the unit circle
The hexagon mnemonic
Examples
Extension students
Summary & Practice exercises
Lesson 1 Quiz
Lesson introduction
Pythagoras' theorem
Right-angled trigonometry
Degrees, minutes and seconds
Using the calculator for trigonometry
Complementary ratios
Extension students
Practice exercises
Lesson 2 Quiz
Lesson introduction
Finding unknown sides or angles
Extension students
Practice exercises
Lesson 3 Quiz
Lesson introduction
Exact trigonometric ratios
Finding unknown sides or angles by scaling the exact ratio triangles
Extension students
Practice exercises
Lesson 4 Quiz
Lesson introduction
Applications of right-angled trigonometry in 2D
Angles of elevation and depression
Bearings
Extension students
Practice exercises
Lesson 5 Quiz
Lesson introduction
Non-right-angled triangles
Trigonometric ratios of obtuse angles
Sine rule
Extension students
Practice exercises
Lesson 6 Quiz
Lesson introduction
Cosine rule
Extension students
Practice exercises
Lesson 7 Quiz
Lesson introduction
Area of a triangle
Extension students
Practice exercises
Lesson 8 Quiz
Lesson introduction
Radians
Converting between degrees and radians
Extension students
Practice exercises
Lesson 9 Quiz
Lesson introduction
Arc length
Area of a sector
Area of a segment
Extension students
Practice exercises
Lesson 10 Quiz
Lesson introduction
Trig ratios of reflex angles
Angles of any magnitude
Extension students
Practice exercises
Lesson 11 Quiz
Lesson introduction
Trigonometric graphs
Extension students
Practice exercises
Lesson 12 Quiz
Lesson introduction
Simple trigonometric equations
Extension students
Practice exercises
Lesson 13 Quiz
Lesson introduction
Trig identities
Trigonometric proofs & simplifying expressions
Extension students
Practice exercises
Lesson 14 Quiz
Lesson introduction
Harder trigonometric equations
Extension students
Practice exercises
Lesson 15 Quiz
Conclusion
Course Feedback