This is a sequence of lessons which covers the definitions in graph theory and the planarity algorithm. It includes a definitions crossword and smart notebook files for both sets of lessons.

This is a detailed lesson of how to find the nth roots of a complex number in modulus-argument form.

This is a complete lesson on geometrically proving and then applying the addition formulae. The lesson consists of 30 slides which guide students through a step-by-step proof of sin(A+B) and cos(A+B), then how to prove tan(A+B) and all the subtraction versions from these, plus a further six slides covering three common questions on the application of the formulae (which can be used as examples or as questions). It also includes copies for the students to complete as you go along. Resources included: A PPT and smart notebook file 36 slides long with a detailed step-by-step proof using SOHCAHTOA. A student copy of the initial diagrams for them to work from There is a separate file for PPT and notebook. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslesson@gmail.com. Thanks! Chris @ Last Minute Maths

This is a ready to teach lesson on how to implement the Simplex Algorithm in 3D, showing first how it could be done graphically if we had the right software, then applying the Simplex Algorithm to the same problem. The lesson is 27 slides long, with tableaux for the students to work through at the same time. The lesson is provided in Notebook and PDF format. I will soon be uploading the next lesson for Simplex Algorithm so watch this space. If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com. Thanks! Chris @ Last Minute Maths

This is a complete lesson on introducing equivalent fractions. It is assumed that students are able to shade and recognise fractions. Depending on the ability of the class, it can take between 1 and 3 hours. It makes use of pictorial representations, fraction walls (provided) and develops this into using multiplication to find equivalent fractions. Resources included: A smart notebook and PPT file 76 slides long Two versions of a fraction wall (ideally to be laminated, but an alternative version is provided if this is not possible) 3 activities for the fraction walls 1 activity in which students walk up to the board to find equivalent fractions 1 cut out and match up activity Resources required; Mini-Whiteboards Scissors (and glue if you want the students to stick the matching activity down) Laminator (optional) Powerpoint or Smart Notebook If you have any suggestions or complaints about this resource, or a request for other resources, do not hesitate to contact me via lastminutemathslessons@gmail.com. Thanks! Chris @ Last Minute Maths

A lesson on using bounds an error intervals in calculations for more able students

A lesson on reverse percentages, including a lesson with detailed slides, two worksheets and other activities (which can be done on mini-whiteboards). Objectives are: Get students to recognise when a question is a reverse percentage and when they are normal percentage questions Students to be able to answer reverse percentage increase and decrease questions

This starts with a reminder of differentiation and how it works (which can be skipped if you prefer), then goes into detail about differentiation from first principles, using chords on a curve. It can pretty much be picked up and taught without much preparation, as long as the teacher has an understanding of differentiation and how to find the gradient between two points.

A lesson on what friction is and where the equation for friction comes from. Includes examples, but not exercises for the students.

Full Sequence of lessons in one notebook file for polar coordinates including: Converting between polar and cartesian form Plotting polar equations Integration Differentiaion, Total number of slides = 77

This is an assembly along the theme of ‘if the whole world was condensed down to this room, what would we look like?’ It is a good assembly to speak to younger students about disadvantage, ethnicity, tolerance and respect. Some of the numbers are estimates, but shouldn’t be too far off. I did this with a group of about 200 students. The number may need to be adjusted slightly if your group is a different size.

At the end of every half term, I send this spreadsheet to all Heads of Department for them to nominate students in each year group who have worked particularly well and deserve recognition. The mail merge automatically creates personalised certificates with a different picture for each subject. Instructions Edit the names of the heads of year and heads of department on the right hand side of the spreadsheet. Send this spreadsheet to all Heads of Department for them to fill in the names of students in each year group who have worked particularly well and deserve recognition. Once the spreadsheet is complete, edit the four certificates using the mail merge wizard – when you open each of them, there will be an error message because it can’t find the spreadsheet and you’ll have to redirect it to the correct (completed) spreadsheet. Save picture files for each calling them “subject name”.jpg (e.g. Art.jpg, Biology.jpg etc.) in the same folder as the certificates and the spreadsheet and it should automatically insert them on the certificates (the size needs to be more or less the same for each so it fits on). When you’re done, click on the mail merge wizard and you should now be able to see each of the certificates (the first document will have all the names in the first column, the second document all those in the second etc.) You can now complete the merge and print off the four documents to produce personalised certificates for students with a different picture for each subject and the names of the members of staff.