A Tarsia activity by Alan Catley. A great way of introducing the Factor Theorem but it took a long time to ensure that this is a unique solution! i.e. (x-1) is only a factor of one of the given functions etc. A wonderful group activity used in conjunction with a paused slow plot of y = 2x³ + x² – 4x – 3 on Autograph (at approx x = -2) where does this graph cut the x-axis? etc. The group will have to share the work out which means they discuss and share each other’s answers but the more they do the easier the puzzle gets. The ‘Start’ is a trivial one deliberately!

A Tarsia activity on negative numbers (level 5). These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

The 50th in Mr Barton's Autograph Video tutorial series. In the final Autograph Video of 2011 we take a look at some of the lovely shapes you can make using Volumes of Revolution. We hint at how it is possible to derive the formulae for some common 3D objects (for more on this see Mr Barton’s “Autograph Activities” textbooks!), how you can create volumes around the y-axis, and finally we look at some of the fascinating shapes you can form with areas between curves and lines. Plenty to keep you busy until the end of the year. Clicking on the web-link you can see all the videos in this series.

Douglas Butler, the creator of Autograph, has produced 7 high quality tutorial videos to help you get the most out of the software. In this tutorial we have a look at Autograph's uniquely useful onscreen keyboard: for controlling Autograph, entering mathematical notation and changing languages. Also available on TES are my own weekly set of Autograph videos, and lots of Autograph Player Activities that don’t even require Autograph to be installed!

A worksheet for the well known knights move investigation. This is suitable for KS3 and KS4 students. The investigation involves looking at patterns and finding a formula to solve the problem. The activity is good revision and practice of knowledge in number patterns. It also develops good thinking skills. An extension is included for those students who are at a higher level ability.

A special video from Autograph creator Douglas Butler. A very large hexagonal structure in Western Australia is grabbed from Google Earth and analysed in Autograph

A Tarsia activity to help practice the use of calculators. These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments, or spot any (non deliberate!) mistakes, please share them below. Many thanks to all the teachers who have helped me assemble these Tarsias over the years.

A brilliant Tarsia activity by Gill Hillitt on the functions e and ln (natural log). These type of activities can be used to consolidate understanding of a given topic, and foster positive group work and co-operative learning. For more ideas on how to use these types of activities (including twists!) and to download the latest version of the wonderful free software to open this resource (and create your own), just click on the web-link. If you have any comments or feedback for Gill, please share them below.

A video tutorial exploring torus in Autograph. What do you get when you rotate the equation of a circle about a line in 3D?... there is only one man to tell you the answer to that - Mr Douglas Butler. To see all the videos in Mr Barton’s Autograph Video series, just click on the web-link below.

A video on how we can use autograph to manipulate continuous data. The thirteenth video in Mr Barton's Autograph tutorial series. In a jam-packed edition we start to look at how Autograph can group raw data for us and how this opens up a whole new set of possibilities in terms of mathematical diagrams, including cumulative frequency curves, histograms and stem and leaf. Below the video you will find an option to download it and play it on a larger screen, or by clicking on the web-link you can see all the videos in this series.

A Collective Memory activity on Equivalent Fractions. This one contains missing answers and a deliberate mistake! For more information and ideas about how to use this resource, and links to my full index of Collective Memory resources, please visit http://www.mrbartonmaths.com/collectivememory.htm

A video tutorial from the Autograph team on using parametric equations in Autograph. Many different types of equation can be entered in Autograph: Cartesian, trigonometric, exponential, hyperbolic, implicit, conics, polar, parametric, piecewise and differential. In this activity we look at a parametric form of the Lissajous equation. Clicking on the web-link below takes you to all the videos in this series.

A Collective Memory activity on Collecting Like Terms and Simplifying. This one contains missing answers and a deliberate mistake! Thanks to Jen Filson for this one! For more information and ideas about how to use this resource, and links to my full index of Collective Memory resources, please More…visit http://www.mrbartonmaths.com/collectivememory.htm

A tutorial video on Poisson & Normal Approximations from the Autograph team. Both the Poisson and Normal distributions can be used as approximations to the Binomial, but for which values of n and p are the approximations any good? Clicking on the web-link below takes you to all the videos in this series.

A Collective Memory activity on Metric and Imperial Measures for KS3. Good activity for group work. This one contains missing answers. For more information and ideas about how to use this resource, and links to my full index of Collective Memory resources, please visit http://www.mrbartonmaths.com/collectivememory.htm

The cards to accompany the above bingo game.

a mini real life activity testing students' ability to substitute numbers in standard form into formulae

A Tarsia activity by Alan Catley. Please Note: This Tarsia contains images and the links to these images are broken when the Tarsia is copied. Before using this jigsaw you will need to paste the images into the correct positions on the Input screen. Further use of images showing graphs of functions plus their corresponding gradient graphs. These are matched to the function but the student then has to provide the derivative.

The 38th in Mr Barton's Autograph Video tutorial series. In this video we take a look at the second of Autograph&'s wonderful Extras pages - the Monte Carlo Method. We see how this can be used to make an estimate for the value of pi, combining together important aspects of geometry and probability. Below the video you will find an option to download it and play it on a larger screen, or by clicking on the web-link you can see all the videos in this series.

MEI has kindly shared the following resources to support the use of ICT in A/AS Level maths. These are practical activities that look at how we can use Geogebra to enhance the study of co-ordinate geometry, predominantly at AS level. These are ideal for use in a computer room or for students to investigate at home. The pdf file contains full instructions and challenges, and the attached Geogebra files can be used to demonstrate and consolidate understanding back in the classroom. Please click on the web-link to find out more about the work of MEI.