Calculus
HL Related Rates 5.9
Use the simulations below to gain a concrete experience of some related rate problems, then use the Teacher presentation for an analytical, and strategic, approach to solving them. Applying mathematics...
Calculus
HL Lotka Volterra 5.16+5.17
Biologists studying a single species, call it X in isolation, like a bacteria in a Petri dish, have observed that in the initial phase the population increases in proportion to size of the population...
Calculus
HL Kinematics Exam Qu 5.13
On this page you can find a set of IB style questions for this topic that covers 52 marks. The SOLUTIONS are linked below. Use the questions as examples or set them as an assignment. The SOLUTIONS can...
Calculus
HL Integration by substitution 5.11
The integration of functions is used for summing revenues, productions costs, probabilities, displacement travelled, areas etc.Which of the functions, in the slideshow below, can be integrated using the...
Calculus
HL Functions & Calculus Exam Qus
Modelling is one of the central themes of the IB applications subject. HL(SL) Functions helps develop students’ conceptual understanding and intuition into the behaviour of the different HL functions....
Calculus
HL Euler's Method 5.16
There is no "general solution” for all differential equations. As such, they are classified by whether they are “linear” or “non-linear”, the “methods” that can be used to solve them etc. etc. Analytical...
Calculus
HL Definite, negative & indefinite 5.11&5.12
On this page you can find a set of IB style questions for this topic that covers 50 marks. The SOLUTIONS are linked below. Use the questions as examples or set them as an assignment. The SOLUTIONS can...
Calculus
HL Coupled Diff Eq & Phase Portraits 5.17
On this page you can find a set of videos, created by Dr James Tanton, for topics AHL 5.17 that provide a deep, conceptual insight into how/why matrices eigenvalues and vectors can be used to solve an...
Calculus
HL 2nd Order Differential Eq 5.18
On this page you can find a video introduction to 2nd order differential equations, created by Dr James Tanton, for topic AHL 5.18. Exam Style Questions (site membership is required for the exam style...
Calculus
HL 2nd Derivative 5.10
Students experiment, in pairs/groups, with the applets below. The aim is to formulate, and test, their hypothesis concerning the gradient just before, and just after, maximum and minimum turning points....