This is a reflection puzzle on coordinate axes in the topic of transformations. Students have to use their understanding of horizontal and vertical lines and the lines y = x and y = -x to reflect the shapes to form a word.

This is a ready to teach lesson on how to implement the Simplex Algorithm and why it works, referring back to graphical and algebraic approaches. It is unclear to many students why the Simplex Algorithm works, what theta values are and why you need to look for the most negative value in the last row. The primary objective of this lesson is to thoroughly explain all of this. First, a simple problem is solved using normal linear programming, then this problem is solved using using the Simplex Algorithm, relating this back to what each and every step represents, both graphically and algebraically. The lesson is 35 PPT slides long, with tableaux for the students to work through at the same time. The lesson is provided in PPT, 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 lastminutemathslesson@gmail.com. Thanks! Chris @ Last Minute Maths

A lesson on correlation and causation designed for mini-whiteboards or RAG responses. Ready to go, but may need to be supplemented with questions.

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

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 revision worksheet for GCSE students on Area of Circles, Semi-Circles and Sectors, but also draw on other areas of mathematics, including percentages, money and trigonometry (for grade 9). The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you. The grids can be: Used in lesson for students to see what grade they can get to Peer/Self/Teacher-assessed Used independently Done for Homework Laminated and given as revision cards. The answers, with full working out are included. 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 revision worksheet for GCSE students on the Volume of Cones, Pyramids and Frustums, but also draw on other areas of mathematics, including Pythagoras and density. The grade 1 question is worth 1 mark, the grade 2 is worth 2 and so on. I facilitate marking by saying it’s all-or-nothing, but that’s up to you. The Higher questions do not include the formula and include the volume of frustums. The Foundation questions have the formula provided. The grids can be: Used in lesson for students to see what grade they can get to Peer/Self/Teacher-assessed Used independently Done for Homework Laminated and given as revision cards. The answers, with full working out are included. 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 detailed lesson of how to find the nth roots of a complex number in modulus-argument form.

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 using bounds an error intervals in calculations for more able students

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

This is a ready to teach lesson on Floyd’s Algorithm, covering: How to implement the algorithm (with an example for students to work through at the same time as you go through it on the board). How to find the shortest route How to find the order of the algorithm The lesson is 57 PPT slides long, with one example for students and one question (with solutions provided). 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 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.

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

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 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

A short lesson on how to find the order of algorithms and use this to calculate the time taken to execute the algorithm. Includes a step-by-step process to find the order of Prim’s algorithm when applied to a distance matrix, based on the number of comparisons required for each step of the process.

This is a full lesson on the route inspection algorithm, covering: (a) The definitions of Eulerian and Semi-Eulerian graphs (b) The route inspection algorithm (with an example for students to work through at the same time) © Adapting the route inspection problem for when we can start and finish at different vertices. The lesson is 20 slides long and is provided in notebook, PPT and PDF forms.

THIS IS A SAMPLE OF THE LESSON ENTITLED: Proof of Addition Formulae and Application (Trigonometry) The full lesson can be found on the Last Minute Maths TES Store.