Welcome! I'm a passionate Mathematics educator with over 25 years of international experience, specialising in KS3, IGCSE, and the IB Diploma Programme. I’ve taught both Analysis and Approaches and Applications and Interpretation at Standard and Higher Level. Here, you’ll find a wide range of carefully crafted resources designed to support students and teachers across all levels of secondary mathematics.
Welcome! I'm a passionate Mathematics educator with over 25 years of international experience, specialising in KS3, IGCSE, and the IB Diploma Programme. I’ve taught both Analysis and Approaches and Applications and Interpretation at Standard and Higher Level. Here, you’ll find a wide range of carefully crafted resources designed to support students and teachers across all levels of secondary mathematics.
This 21 slides PowerPoint presentation is a resource that supports IB Mathematics: Analysis and Approaches Standard Level lessons on optimization using differential calculus.
Firstly, the presentation introduces key steps for solving real-world optimization problems. Then, it guides students through worked examples with clear diagrams and structured reasoning.
Each example builds confidence by reinforcing techniques like deriving equations, finding turning points, and using second derivative tests.
Moreover, the resource includes problems involving area, volume, and maximum/minimum conditions. Therefore, it aligns closely with IB syllabus expectations.
Additionally, the download includes a printable worksheet for students. This worksheet encourages independent practice and deepens conceptual understanding.
Furthermore, answers are provided to support self-assessment or guided correction in class.
Teachers can use this resource for full lessons or targeted revision. It promotes analytical thinking and problem-solving confidence.
Use this resource to strengthen students’ application of calculus in optimization contexts. All content is ready to use and visually engaging.
In summary, this is a comprehensive, time-saving resource ideal for any IB AA SL classroom.
Power Point presentation, 15 slides, Explaining how to use the first and second derivative to draw the sketch of the graph of a function, also, knowing the graph of une function either f, f’ or f" draw the sketch of the other two functions, based on IB Mathematics Standard Level Syllabus. For a preview of the power point copy the following link on your browser:
https://drive.google.com/file/d/0B8z00qLZV7OlTUZONWN6d0RMbjA/view?usp=sharing
Power Point presentation, 9 slides, Explaining how to use the second derivative to determine either a function is concave upwards or downwards on a given interval, and how to calculate the point of inflection (inflexion) based on IB Mathematics Standard Level Syllabus.
Power Point presentation, 9 slides, Explaining with examples what is a relative minimum and an absolute minimum, also what is a relative maximum and an absolute maximum, based on IB Mathematics Standard Level Syllabus.
Power Point presentation, 10 slides, Explaining how to use the derivative to determine either a function is increasing or decreasing on a given interval, based on IB Mathematics Standard Level Syllabus.
Power Point presentation, 10 slides, Explaining how to use the derivative of displacement to calculate the instantaneous velocity. How to use the derivative of velocity to calculate the instantaneous acceleration, based on IB Mathematics Standard Level Syllabus.
Power Point presentation, 7 slides, Explaining with examples how to shade regions in Venn diagrams to verify set identities, based on IGCSE Extended syllabus.
Power Point presentation, 7 slides, Explaining with examples how to use Venn diagrams to represent Union and intersection of sets, based on IGCSE Extended syllabus.
Power Point presentation, 8 slides, explaining how to use coordinate geometry to check the truth of a geometrical fact, or to prove a geometrical fact by using general cases.
Power Point presentation, 10 slides, Explaining with examples how to convert from terminating decimals to fractions, and from recurring decimals to fractions.
