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 of Working with functions.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 144 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:
•144 recorded examples
•A total of 65 quiz questions at the end of each lesson
•A 258 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 69 page exercise booklet with 144 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
How to approach teaching linear functions
Standard forms of a line
Gradient-intercept form of a line
General form of a line
Linear modelling
Extension students
Practice exercises
Lesson 1 Quiz
Lesson introduction
Determining the equation of a linear function
Point-gradient formula
Two-point formula
Intercept formula
Extension students
Practice exercises
Lesson 2 Quiz
Lesson introduction
Parallel lines
Perpendicular lines
Extension students
Practice exercises
Lesson 3 Quiz
Lesson introduction
Solving linear inequalities
Linear modelling and inequalities
Extension students
Practice exercises
Lesson 4 Quiz
Lesson introduction
Quadratic functions
Parabolas
Sketching parabolas
Extension students
Practice exercises
Lesson 5 Quiz
Lesson introduction
Finding the equation of a parabola
Equivalent quadratics
Intersection with a parabola
Extension students
Practice exercises
Lesson 6 Quiz
Lesson introduction
Simultaneous equations
Substitution method
Elimination method
Extension students
Practice exercises
Lesson 7 Quiz
Lesson introduction
Quadratic inequalities
Solving inequalities by sketching a parabola and using concavity
Extension students
Practice exercises
Lesson 8 Quiz
Lesson introduction
Algebraic forms and shapes of cubic functions
Sketching cubic curves
Extension students
Practice exercises
Lesson 9 Quiz
Lesson introduction
Direct variation
Reciprocal functions (hyperbolas)
Extension students
Practice exercises
Lesson 10 Quiz
Lesson introduction
Circles centred at the origin
Semicircles centered at the origin
Practice exercises
Lesson 11 Quiz
Lesson introduction
Piecewise-defined functions
Absolute values
Sketching absolute value functions
Extension students
Practice exercises
Lesson 12 Quiz
Lesson introduction
Solving absolute value equations
Using a number line to solve absolute value equations
Using a Cartesian plane to solve absolute value equations
Splitting the domain to solve absolute value equations
Solving absolute value equations by looking at all possibilities and checking
Other absolute value equations
Extension students
Practice exercises
Lesson 13 Quiz
Conclusion