Activities
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...
Activities
HL Separation of variables 5.14
Integration(sometimes called ‘anti-differentiation’) is the inverse function of differentiation. We can therefore ‘undo' and solve equations that contain a derivative ('differential equations') using...
Activities
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...
Activities
HL Complex Intro & Geometry 1.12+1.13
What are complex numbers? Are they "imaginary" (in the literary sense of the word), and, if not, how can we use them/in what way are they "real"? How were they discovered/invented?Use the applets in the...
Activities
SL Sampling (4.1)
How do humans gain knowledge about the world we live in? Time, and money, are limited, often, it’s not possible to measure every single example of some object/thing/being. Most of human knowledge comes...
Activities
HL Slope Fields 5.15
Conceptual overview: 'Slope fields' as an introduction to differential equations - what are they? Instead of starting with "data", plotting it, and finding which functions have a similar shape e.g. maximums,...
Activities
Upper Lower Bounds Free
To provide a "hands-on" experience of the concept of upper and lower bounds, this activity from Chris Kacmar: Upper and Lower Measures is a really nice, pair work measuring activity using 1 inch scale...
Activities
Geometric Sequences - An exploration idea
This is a structured activity to help you think about using what you know about geometric sequences in the context of an activity that is like the 'exploration' that you will have to do for your internal...
Number & Algebra
Geometric Sequences
1, 3, 9, 27..... The Geometric sequence is a fundamental bit of mathematics that is an inherent part of exponential growth and decay. Their properties are simple in nature but they are often counter intuitive....
Number & Algebra
HL Diagonalisation 1.15
On this page you can find a set of videos, created by Dr James Tanton, for topic AHL 1.15, raising matrices to large powers using eigenvalues and vectors to diagonalise the matrix (a powerful application...