Internal assessment
Managing the Exploration (IA)
Our 12-page Student Guide for the Exploration (version 15) can be downloaded here. An abbreviated version can also be viewed on the Exploration Student Guide page which is categorized as 'student accessible'...
Review/revision
Compound Angle Formulae HL
On this page, we will learn about the compound angle formulae used in trigonometry. These are really important because they open up so many other formulae in trigonometry. In particular, we can derive...
Teaching resources & guidance
Sequence & Series
Preliminary Questions 𝅛 Teaching Notes 𝅛 Teaching Materials 𝅛 Focused Assessments 𝅛 Quizzes & Tests ⭕ Learning Objectives SL and HL students: (no additional HL content) • recognising arithmetic...
External assessment
Original mock exams
∎ 21 original mock exams with full worked solutions for each exams ∎ Important: In an effort to maintain security and value, please do not share any of the mock exams below - either digital or paper copies...
Teaching resources & guidance
Binomial Theorem
Preliminary Questions 𝅛 Teaching Notes 𝅛 Teaching Materials 𝅛 Focused Assessments 𝅛 Quizzes & Tests ⭕ Learning Objectives SL and HL students: HL students only: • expanding binomials with natural...
Start here
Using student access
Student access allows you to share selected parts of the Mathematics: Analysis and Approaches site directly with your students. You can create a class and control which student resources you want your...
Internal assessment
IA idea #6 - Directrix of a parabola
Consider the following property for parabolas. Many students do not know what the directrix of a parabola is - which is a bit of a shame because then they are not aware of the fact that a parabola is...
Internal assessment
IA idea #5 - Area of a parabolic segment
I'm always on the look out for interesting mathematical 'nuggets' that might lead to something suitable for a student Exploration (IA task). Here is a very interesting fact about the area of a parabolic...
Internal assessment
IA idea #4 - Pentagonal tessellations
An SL student asked for my thoughts about her writing an Exploration on tilings of the plane (Euclidean tessellations). I must admit that my initial thought was that it would be easy for a student to...
Internal assessment
IA idea #3 - Choosing with replacement
What is commonly referred to as the Birthday Problem asks the question: What is the minimum number of people in a group so that the probability that at least two people in the group (ignoring leap years)...