This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach the Mathematics Advanced 11-12 Syllabus (2024). It covers all of the dot points from Differential calculus & Integral calculus.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 186 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:
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
Differentiating exponential functions with base 𝑒
Differentiating exponential functions with other bases
Extension students
Practice exercises
Lesson 1 Quiz
Lesson introduction
Differentiating natural logarithmic functions
Differentiating other logarithmic functions
Extension students
Practice exercises
Lesson 2 Quiz
Lesson introduction
Differentiating trigonometric functions
Motion and trigonometry
Extension students
Understanding differentiation of trigonometric functions using the unit circle (optional)
Practice exercises
Lesson 3 Quiz
Lesson introduction
Primitive functions
Primitives of polynomial functions
Standard integrals for polynomials
Additivity and linearity of integration
The reverse chain rule
Online integral calculators
Solving for the constant
Extension students
Practice exercises
Lesson 4 Quiz
Lesson introduction
Primitives of exponential functions with base 𝑒
Standard integrals for exponentials with base 𝑒
Primitives of exponential functions with other bases
Standard integrals for exponentials with other bases
Extension students
Practice exercises
Lesson 5 Quiz
Lesson introduction
Integrating functions involving natural logarithms
Standard integrals for functions involving natural logarithms
Integrating functions involving other logarithms
Extension students
Practice exercises
Lesson 6 Quiz
Lesson introduction
Integrating trigonometric functions
Standard integrals for trigonometric functions
Extension students
Practice exercises
Lesson 7 Quiz
Lesson introduction
Area, integral notation and definite integrals
Exact area under a curve using geometric shapes
Estimating the area under a curve using geometric shapes
Trapezoidal rule
Extension students
Practice exercises
Lesson 8 Quiz
Lesson introduction
The Fundamental Theorem of Calculus
Calculating definite integrals
Online integral calculators
Extension students
Practice exercises
Lesson 9 Quiz
Lesson introduction
Areas enclosed by the 𝑥-axis
Extension students
Practice exercises
Lesson 10 Quiz
Lesson introduction
Areas enclosed by the 𝑦-axis
Areas enclosed between two curves
Extension students
Practice exercises
Lesson 11 Quiz
Conclusion
Course Feedback