This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Advanced 11-12 Syllabus (2024). It covers all of the dot points from Introduction to differentiation.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 111 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:
•111 recorded examples
•A total of 50 quiz questions at the end of each lesson
•A 203 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 60 page exercise booklet with 111 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
Average and instantaneous rates of change using distance-time graphs
Average and instantaneous rates of change of functions
Extension students
Practice exercises
Lesson 1 Quiz
Lesson introduction
Gradients of tangents
Notation for the gradient of a function
Sketching the gradient function
Extension students
Practice exercises
Lesson 2 Quiz
Lesson introduction
Calculating the gradient of secants and tangents
Differentiation from first principles
Extension students
Practice exercises
Lesson 3 Quiz
Lesson introduction
Techniques for differentiation
Extension students
Practice exercises
Lesson 4 Quiz
Lesson introduction
Tangents and normals
Extension students
Practice exercises
Lesson 5 Quiz
Lesson introduction
Differentiating with negative and fractional Indices
Extension students
Practice exercises
Lesson 6 Quiz
Lesson introduction
Product rule
Extension students
Practice exercises
Lesson 7 Quiz
Lesson introduction
Quotient rule
Extension students
Practice exercises
Lesson 8 Quiz
Lesson introduction
Chain rule
Extension students
Practice exercises
Lesson 9 Quiz
Lesson introduction
Motion in a straight line
Other practical applications of differentiation
Extension students
Practice exercises
Lesson 10 Quiz
Conclusion