A short summary worksheet on Pythagoras and simple trigonometry, best used as a starter activity or plenary once the basics have been taught; should take 10-15 minutes.

This worksheet is a good starter activity, or the basis of a longer lesson. The key aim is to apply a consistent understanding of each of the four operations; addition, subtraction, multiplication and division, regardless of the topic area. For addition, subtraction and division, the 'denomination' of each term needs to be the same. For example; 4a + 2a, 4a - 2a, and 4a / 2a are all straight forward provided we understand that + means 'get some more', - means 'take some away' and divide means 'put into groups of... or piles of'. For multiplication, we can use 'logical language'; eg 2a x 3b = 6ab hence 2 'root3' x 3 'root 5' = 6 'root 3' 'root 5', which of course can be simplified to 6 'root 15'. Further explanation of this approach to the four operations is provided in the Maths 'Help Booklet' which I have authored and is available for free from the TES site.

These documents provide detailed teaching pedagogy for Shape, Space and Measure topics taught from ages 11 to 16. They provide learning objectives and explanations of how to approach topics from first principles to secure long term understanding, and to avoid teaching tricks! Area, for example, is commonly associated with length times width, without developing a pure understanding of what area actually means.

These documents provide teaching pedagogy for the majority of Statistics topics taught to ages 11 to 16. They explain first principle approaches to teaching Statistics to ensure long term understanding and to avoid the use of tricks! The mean, for example, is commonly taught as a method (sum the values and divide by the frequency), without exploring the impact of 'making the values all equal in size' and how this relates as an average (or means to describe or quantify "middleness").

This booklet comprises 55 pages of information and support; each page focuses on a different Maths topic area and it provides the means for students to independently research when they need support. The majority of topics studied up to age 16 are included. They provide a summary of each chapter of the learning plans that I have also written for Number and Algebra, Statistics and Geometry.

These rubrics are designed to ensure students check the quality of their statistical diagrams before moving on, or asking the teacher if their diagram is correct and of a suitable standard. They share success criteria, ensure students are applying the models of self and peer assessment with structure, and simplify the process of monitoring the standard of student work when creating statistical diagrams.

If you like these, consider purchasing my full set of 22 papers available through my shop! These are the first 5 papers of my series, best used as SAT homework practice, but easily used to challenge students in class, cover a comprehensive range of the curriculum at Key Stages 2 and 3. Each page contains questions of increasing difficulty, and each page correlates closely to the equivalent grade of work for the new GCSE specifications (Page 2 is grade 2 content). The papers are write-on. I print them as an A3 folded booklet and ask students to choose any 4 consecutive pages - this allows students to differentiate for themselves, although I will sometimes give them guidance. The papers are quick and easy to mark and they evaluate general understanding, ability to interpret, and ability to derive answers using a range of taught methods. They don't cover 'use and application'. My Pure, Statistics and Geometry series, and my topic-based series both do that.

Results can be recorded for each of the 12 assignments for the three categories; Statistics, Pure and Geometry. By inputting results for each question on the paper in the worksheet labelled with the number of each assignment, and specifying whether the student completed the Foundation or Higher paper, overall results are calculated (with a grade based on the new GCSE specification), and topic areas are analysed so that weaknesses can be targeted. Input names for each group in the lead worksheet and these will automatically appear in each subsequent worksheet. Track results over time with this monitoring document. The author has used the series and tracking successfully to ensure sustained success in Mathematics examinations for the students at his College.

This is an example of a Foundation 'Statistics' practice assignment, one of the 12 differentiated assignments available as part of the series on offer. There are both Foundation and Higher versions of each assignment and answer papers.

Suitable either as a short activity, or a lesson or sequence of lessons; the excel document provides two worksheets each with a set of 6 scales and a variety of animals on each. The premise is simple, students must determine the weight of each animal. This is a simple introduction to Algebra, but can be seen as a simple problem solving activity. If the teacher starts by recording the 6 sets of scales as abstract algebra (eg c = 10, 2c = h, 2c + 2h = 2d based on the first set of scales), it is easy to share with students how much easier Algebra is when dealing with concrete (animals and pictures) as opposed to abstract (numbers and letters). To extend the students, and to create an excellent creative activity that is perfectly differentiated, ask students to create their own scales that 'build' towards a final unknown. The challenge is to ensure each scale is sequential, the 'Maths' works and the solution can be found, and the symbols or theme that the student chooses to use is manageable! I have had students create 'Christmas' themes with Father Christmas, reindeer, presents, elves etc, and students who have used simple quadrilateral shapes. They choose according to their artistic ability, and to the complexity of the problem they wish to create. Once created, the students have produced their own puzzles that their peers can attempt to solve at the beginning of the next lesson, evaluate in terms of difficulty, and offer words of advice on how the worksheet could be improved.

This is an example of a Foundation 'Geometry' practice assignment, one of the 12 differentiated assignments available as part of the series on offer. There are both Foundation and Higher versions of each assignment and answer papers.

Resource to allow students to practise finding equivalent fractions and ratios, and to encourage students to apply how the process of finding equivalent fractions is the same as the process of finding equivalent ratios

This is an example of a Higher 'Pure' practice assignment, one of the 12 differentiated assignments available as part of the series on offer. There are both Foundation and Higher versions of each assignment and answer papers.

This is a series of questions which assess understanding of linear graphs, tangents, the equations of a circle, and the ability to find points of intersection. It is a useful summary worksheet for AS level students to complete after studying the first chapter on coordinate geometry as part of the Core course. It also provides a useful guide to the content of the AQA Level 2 Certificate in Further Maths course, and provides extension material for GCSE students.

This simple document proposes a structure or framework for developing a numeracy overview and potential scheme of work. It covers the basic numeracy and applied mathematics skills that students who pursue more vocational routes in the long term are likely to need.

Practice questions covering a range of problems mainly involving compound growth. There are three questions at the beginning specifying 'simple' interest to remind students that there is a difference between simple growth and compound growth, but the bulk of the worksheet asks students to practice compounding interest over a specified number of time periods, and to apply reasoning to reverse the compounded growth in order to find the original amount.

Questions based on simplifying powers and roots with answers. This worksheet provides some summaric practice of the topic.

A student support document to assist with revision and with tackling home assignments independently. The document covers a range of topic areas and specifies stepped approaches for applying mathematical methods such as estimated means, factorising quadratics, applying basic and more advanced Trig, dealing with direct and inverse proportion etc.