Teacher resources

Below I’ve chosen a very small selection out of several hundred resources on my intermathematics.com site. Hopefully this is enough to get a flavour of the type of content available!

1. Worksheets

All worksheets are designed to take 40 mins to 1 hour and can be used very effectively as homework sheets or classroom activities. Worksheets are designed to hit key syllabus points and have full worked solutions.

Integrating factor worksheet:

This worksheet is designed for syllabus point AAHL 5.16. Download WS and MS here.

Screen Shot 2023-08-27 at 7.39.49 AM

Mixed functions worksheet 

This worksheet reviews syllabus points AASL 2.2-2.6. Download WS here and MS here.Screen Shot 2024-05-26 at 4.56.11 PM

Box plots and cumulative frequency:

This worksheet is designed for AASL 4.2-4.3,  AISL 4.2-4.3. Download WS here and MS here .Screen Shot 2024-05-26 at 5.00.17 PM

Stationary points and increasing functions:

This worksheet reviews syllabus points AASL 5.2 and 5.8 Download WS here and MS hereScreen Shot 2024-05-26 at 5.06.18 PM

Modelling quadratics and cubics:

This worksheet is designed for AISL 2.5. Download WS here and and MS hereScreen Shot 2024-05-26 at 5.14.13 PM

Phase portraits:

This worksheet reviews syllabus points AIHL 5.17 Download WS here and MS hereScreen Shot 2024-05-26 at 5.17.42 PM

2. Treasure hunts

All treasure hunts are designed to take 20-30 minutes and to be a classroom based activity. Students can either work in pairs and rearrange papers on their desk, or a single set can be placed around the room. Students have to link up the questions with the correct answers.

Discriminant of quadratics

This treasure hunt is designed for AASL 2.7. Download WS here and MS here. Screen Shot 2024-05-26 at 5.32.25 PM

Arithmetic sequences and series

This treasure hunt is for AISL 1.2 and AA 1.2. Download WS here and MS here.Screen Shot 2024-05-26 at 5.26.57 PM

Integration of polynomials

This treasure hunt is for AISL 5.5 and AASL 5.5. Download WS here and MS here.Screen Shot 2024-05-26 at 5.37.34 PM

Binomial expansion

This treasure hunt is designed for AASL 1.9. Download WS here and MS here.Screen Shot 2024-05-26 at 5.44.56 PM

3. Enrichment investigations and explorations

These are all worksheet led activities which can be done to both gain a deeper understanding of syllabus ideas and also to provide stimuli for possible coursework ideas.

Benford’s Law

This investigation is designed for AASL 1.7. Download WS here and MS here.Screen Shot 2024-05-26 at 6.00.10 PM

Julia Sets

This investigation is designed for AAHL 1.12 and AIHL 1.12. Download WS here and MS here. Screen Shot 2024-05-26 at 6.00.48 PM

Voronoi diagrams

This investigation is designed for AISL 3.6. Download WS here and MS hereScreen Shot 2024-05-26 at 6.06.35 PM

Bridge building

This investigation is designed for AISL 2.5. Download WS here and MS here.Screen Shot 2022-01-22 at 7.24.11 AM

4. Paper 3 investigations

I’ve made over 35 Paper 3 investigations – some of these are designed specifically for HL maths students to help prepare for their Paper 3s, and others are a bridge between Paper 3s and excellent prompt ideas for how good coursework ideas could progress. All of these aim to introduce some new ideas or place syllabus ideas into real life contexts.

Optimisation of a cuboid

This Paper 3 investigation links calculus ideas. Download WS here and MS hereScreen Shot 2022-01-21 at 2.49.21 PM

Who killed Mr Potato?

This Paper 3 links ideas on differential equations Download WS here and MS here.Screen Shot 2022-02-16 at 11.09.00 AM

Finding pi geometrically

This Paper 3 investigation links geometry and calculus. Download WS here and MS hereScreen Shot 2024-05-26 at 7.14.37 PM

Graphically understanding complex roots

This Paper 3 links complex numbers and geometry. Download WS here and MS here.Screen Shot 2022-01-21 at 2.19.25 PM

5. Mock examinations and unit test

I won’t share the unit tests and mock exams for obvious reasons! I have tried very hard to make these look and feel like “real” IB exams – by using a similar layout and creating realistic exam style questions.

Mock examinations

An example of the question formatting:  Screen Shot 2024-05-26 at 6.29.23 PM

Unit tests

An example of the front page:Screen Shot 2024-05-26 at 6.27.53 PM

6. Enrichment resources

There are also a lot of enrichment resources – from Maths EE support, TOK in Maths, Stocks and Shares competition, Maths and Python, Codebreaking and a lot more.

Codebreaking Pack

This is the 2023 FOBISIA Maths Codebreaking challenge.  Full of codes! Download here.Screen Shot 2024-05-26 at 6.35.32 PM

TOK and Maths

Some resources to help lead 1-2 TOK sessions on Maths. Download here.Screen Shot 2024-05-26 at 6.36.16 PM

Hopefully this gives an example of the types of resources on the site – there are several hundred of these resources on the site! If you would like to join please visit the site here.

Other useful resources:

Starter puzzles

1. Square Dance

For the unit square shown above with vertices at (0,0), (1,0), (0,1) and (1,1), how many different types of functions can you find that go through at least 2 points?  You can download a pdf solution here.

2. Message in the logs

A nice activity for Christmas time – can students find the hidden message?  You can download a pdf solution here.

3. Make 2023

Using the numbers  in order, the standard arithmetic operations and brackets, can you make the number 2023?  You can download a pdf solution here.

4. Decidedly average

In the grids, each blank square should be filled with the mean of the two numbers in adjacent squares.  You can download the solution pdf here.

5. Circular logic

Find the area of the shaded shape when the radius, r, of the original circle is 1.  You can download a pdf of the solution here.

6. The sum of 3 cubes

How many of the numbers from 1-20 can you form as the integer sum of 3 cubes?  You can download a pdf of the solution here.

7. A reciprocal sum

This is a good introduction to more formal mathematical techniques for finding upper/lower bounds for functions – and also in working with generalized functions.  The pdf solution can be downloaded here.

8. Hunting integers

How many values of n give an integer answer?  You can download the pdf answer here.

9. Disappearing fractions

What is the value of the above product?  You can download the pdf solution here.

10. As smart as Pythagoras

Can you use the diagram, with squares ABCD and EFHG to discover Pythagoras’ Theorem?  You can download the pdf solution here.

11.  The million dollar maths problem

“Every even integer greater than 2 can be written as the sum of 2 prime numbers.”  How many solutions can you find?  Prove it and enter the mathematical history books!  You can download a pdf of the solution here.

12. Time dilation

Students calculate the effects of time dilation in one of the most amazing mathematical discoveries of all time.  You can download a pdf of this solution here.

13. A Penny for thoughts

What is the value of R/r for the model of the Penny Farthing?  You can download a pdf of the solution here.

14. On reflection

Can students reflect the graph of y = x^2 around a straight line?  You can download a pdf of the solution here.

Analysis SL/HL

1) The Analysis and Approaches formula book for SL and HL. (Reworked and in a beautiful one page format).

2) Full Analysis and Approaches lecture notes from Christos Nikolaidis.  (Extremely comprehensive and well written).

3) A beautiful mind-map for the entire Analysis and Approaches SL course produced by the IB.

4) A fantastic 55 page pdf for Paper 3 Investigations from IB teacher Daniel Hwang – these are pretty challenging – great for Level 6/7 HL students!

5) Full Analysis course notes from Mac Maths.  Beautifully handwritten notes.

Applications SL/HL:

1) The Applications and Interpretations formula book for SL and HL. (Reworked and in a beautiful one page format).

2) Full Applications and Interpretations lecture notes from Christos Nikolaidis.  (Extremely comprehensive and well written).

3) A beautiful mind-map for the entire Applications and Interpretations SL course produced by the IB.

4) Full Applications course notes from Mac Maths.  Beautifully handwritten notes.

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