Function Machines and Inverse Functions

Function Machines and Inverse Functions

This worksheet comprises 3 sections over 3 pages with an answer sheet on the fourth page. It can be printed to a single A3 folded booklet. Section A provides 20 function machines with up to 3 operations to be converted into equations. An example is provided first. Section B provides 12 equations with up to 3 steps to be converted into function machines. An example is provided first. Section C provides 18 functions to be converted into function machines so that inverse function machines can be drawn, and finally the inverse function can be written. The sections contain plenty of practice and will provide at least 2 to 3 lessons of independent study. Each section is intended to develop student understanding towards the ability to write inverse functions. The relationship between a function and its inverse can then be discussed.
silvestertim
22 Maths homework or revision papers for Ages 11 to 16 (over 150 pages)

22 Maths homework or revision papers for Ages 11 to 16 (over 150 pages)

This is a series of 22 homework assignments. Each page relates to the new GCSE specification grading structure (Page 6 is equivalent to Grade 6) with 15 marks available on each page and a style of questioning that allows for quick marking. For US users, the increasing complexity of the papers will ensure students can demonstrate what they already have learned while challenging themselves to advance their knowledge and understanding. The papers cover a broad range of topics and are designed to get students practising and extending themselves for examination preparation. They can be used successfully with any age, although younger students will naturally focus on the earlier pages of each assignment. The homework assignments are designed so that students can choose any four consecutive pages, or the teacher can designate which four consecutive pages the student should complete, hence targeting the ability of the student and always promoting the opportunity to challenge oneself. The monitoring document, therefore, allows for 4 consecutive page results to be input for each student, generating a percentage result and a 'Page Progress' result (which effectively determines the grade that the student achieves). These are easy to use, write on papers that have been used successfully to raise the attainment of Mathematics students at all ability levels at the College within which the author teaches.
silvestertim
Bearings

Bearings

This is a series of 6 pages that can be printed as an A3 folded booklet for teaching students how to work out bearings. The first page provides a starter which revisits key angle facts based on parallel lines and a transversal, and based on angles on a straight line, at a point and in a triangle. The second page presents the key learning objectives and a section in which notes can be written. This is followed by a simple Task 1 of using bearings diagrams to work out the bearings of one point from another point using angle calculations, rather than scale drawing. Task 2 then requires students to draw diagrams first based on the information provided, and then to work out the required bearing. The lesson sits comfortable in an hour lesson with time for a plenary.
silvestertim
Maths 12 Foundation and Higher Number and Algebra homework / revision papers for 14 to 16 years olds

Maths 12 Foundation and Higher Number and Algebra homework / revision papers for 14 to 16 years olds

This is a series of 12 differentiated homework or revision resources. They are designed to be used in conjunction with my excel, 'Monitoring' document which allows for all results from the Statistics, Pure and Geometry series to be recorded. There are two versions of each assignment, Foundation (for low to middle ability students) and Higher (for middle to high ability students). They are designed for the new GCSE specification in the UK, and would suit any students within the same age range in other countries. This second series focuses on Number and Algebra. They are easy to mark and provide excellent feedback (the monitoring document allows for results in key topic areas to be analysed, as well as progression as students improve their knowledge and understanding. These assignments have led to sustained improvement of Mathematics results in the College in which the author teaches with students excelling at every ability range.
silvestertim
Maths: 12 Foundation and Higher Geometry homework or revision papers for 14 to 16 year olds

Maths: 12 Foundation and Higher Geometry homework or revision papers for 14 to 16 year olds

This is a series of 12 differentiated homework or revision resources. They are designed to be used in conjunction with my excel, 'Monitoring' document which allows for all results from the Statistics, Pure and Geometry series to be recorded. There are two versions of each assignment, Foundation (for low to middle ability students) and Higher (for middle to high ability students). They are designed for the new GCSE specification in the UK, and would suit any students within the same age range in other countries. This third series focuses on Geometry and Algebra. They are easy to mark and provide excellent feedback (the monitoring document allows for results in key topic areas to be analysed, as well as progression as students improve their knowledge and understanding. These assignments have led to sustained improvement of Mathematics results in the College in which the author teaches with students excelling at every ability range.
silvestertim
Maths: 12 Foundation and Higher Statistics homework or revision papers for 14 to 16 years olds

Maths: 12 Foundation and Higher Statistics homework or revision papers for 14 to 16 years olds

This is a series of 12 differentiated homework or revision resources. They are designed to be used in conjunction with my excel, 'Monitoring' document which allows for all results from the Statistics, Pure and Geometry series to be recorded. There are two versions of each assignment, Foundation (for low to middle ability students) and Higher (for middle to high ability students). They are designed for the new GCSE specification in the UK, and would suit any students within the same age range in other countries. This first series focuses on Statistics and Number. They are easy to mark and provide excellent feedback (the monitoring document allows for results in key topic areas to be analysed, as well as progression as students improve their knowledge and understanding. These assignments have led to sustained improvement of Mathematics results in the College in which the author teaches with students excelling at every ability range.
silvestertim
Purchase all of my paid Maths resources to April 2017

Purchase all of my paid Maths resources to April 2017

This bundle contains all of my paid resources to April 2017, including 3 separate series of homework assignments including nearly 500 pages of differentiated Maths practice for students of all ability levels, and a wealth of other resources.
silvestertim
Maths core skills and extended skills homework or revision resource

Maths core skills and extended skills homework or revision resource

These worksheets are designed as general practice for the basic Grade 4 (core skills) and more advanced Grade 6 (extended skills) ability ranges. There is no 'Use and Application', and they are designed purely to get students to practise the broad range of methods and knowledge required to 'do' Mathematics. They are ordered in respect of Number, Algebra, Statistics and Geometry. The 8 pages are designed to be printed onto A3 folded sheets so that students have a write on resource with minimal printing required. The Mathematics 'Help Booklet' that I offer for free, and the 'Steps for Success' document, provide guidance to students to help with the completion of these papers. The back page of the 'Help Booklet' directly references each question of Core Skills into the booklet; for example, question 1b on the Algebra page is referenced to pages 21 and 26 respectively of the Help Booklet where structured models are available to show the process of factorising linear and quadratic expressions.
silvestertim
Statistics Learning Plans

Statistics Learning Plans

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").
silvestertim
Probability homework or revision resource

Probability homework or revision resource

This resource is accompanied by an answer document. It is aimed at students who have been taught probability and relative frequency. The questions include a wide range of contexts (with Venn diagrams, pie charts and various other diagrams requiring correct interpretation to derive relative frequency) and challenge students to calculate simple probabilities, and probabilities for dependent and independent events. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
silvestertim
Angles homework or revision resource

Angles homework or revision resource

This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving recognising, measuring and drawing angles, working with bearings, angle calculations, circle geometry, and some basic trigonometry work. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
silvestertim
Transforming Functions homework or revision resource

Transforming Functions homework or revision resource

This resource is accompanied by an answer document. It is aimed at Higher ability students who have been taught to recognise graphs of other functions and to translate, stretch and reflect functions. The questions are challenging and progress throughout the 4 pages in terms of difficulty, and they provide comprehensive practice for the new Curriculum. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
silvestertim
Ratio and Proportion homework or revision resource

Ratio and Proportion homework or revision resource

This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving ratio and proportions, proportional change, and successive proportional change. The questions include proportions within real life contexts, such as taxation, and other cross-curricular contexts including scale factor enlargement. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
silvestertim
Algebraic Expressions homework or revision resource

Algebraic Expressions homework or revision resource

This resource is accompanied by an answer document. It is aimed at students who have been taught algebraic expressions, including collecting terms, multiplying out brackets, factorising and simplifying quotients. The questions include work on perimeter, area, volume and arithmetic sequences. A grading system based on the new GCSE specification is suggested, but this resource would be equally useful in the US. The paper can be printed onto a single A3 folded sheet and there are a total of 60 marks. It can be used as a homework or a revision resource, or to assess general understanding at the end of the topic with plenty of extension and differentiated content available.
silvestertim
Mathematics learning objectives for self assessment and teacher assessments

Mathematics learning objectives for self assessment and teacher assessments

This excel document summarises the key learning objectives for Mathematics from ages 11 to 16; the objectives are carefully organised and allow for students to self-assess and teachers to record their progress in a simple, visual way. Each topic area can be printed as a single sheet to share objectives with students, evaluate prior knowledge, and evaluate progress at the end of a taught topic.
silvestertim
Maths Department Handbook proforma

Maths Department Handbook proforma

This is a comprehensive Maths Department Handbook proforma containing 66 pages that can be easily adapted for the needs of any secondary Maths department. It has been reviewed as part of my school's external inspection process and was cited as exemplary. I hope you find it useful. Obviously many sections, such as assessment, homework, behavioural policy, available resources, are specific to my school, and would need some amendment. Other sections, such as G&T policies, Calculation policy, Literacy policy, Use of ICT and Calculators, use of learning support etc should provide a good foundation for departments to personalise. It includes descriptors for the new GCSE specification 9 -1 grades.
silvestertim
Worksheet to practise Simple and Compound interest, and reverse proportion

Worksheet to practise Simple and Compound interest, and reverse proportion

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.
silvestertim
GCSE Religious Studies self-assessment rubrics for writing extended responses

GCSE Religious Studies self-assessment rubrics for writing extended responses

These rubrics allow students to review and evaluate their own work. The 'RS Checklist for Success' is more appropriate for Key Stage 3 and Key Stage 4 learners who are middle to lower ability, and need to learn to scaffold their own work and check for completeness, SPAG, and general presentation. We use the rubric as a support for those students who are prone to making the same basic literacy errors, and who need to develop their basic written responses. The 'RS GCSE Checklist for Success provides two tables; one for Edexcel GCSE Part c) style responses (usually requiring two points that are clearly expressed and sufficiently developed, and where a source of authority is referred to); and one for Part d) style responses which require greater depth of argument with points FOR, points AGAINST and a general balanced conclusion. While developed for RS Edexcel Specification B, the tables can easily be edited and adapted to suit any essay writing needs, to encourage self-assessment and ensure students have a framework that will support progress and success.
silvestertim
Maths Practice for ages 10 to 14 Bundle

Maths Practice for ages 10 to 14 Bundle

This bundle contains a wealth of revision work including write-on practice papers with SAT-style questions and worksheets that cover the full range of the Curriculum. A useful pack for students preparing for summer assessments and wishing to hone their skills, knowledge and understanding!
silvestertim
PE Theory test for Years 7 and 8

PE Theory test for Years 7 and 8

This paper comprises 50 marks with 20 multiple choice questions based on anatomy and physiology, fitness, healthy eating, and sport facts and tactics, and longer questions covering a broad range of general understanding about Physical Education. It produces a good spread of results from highest to lowest ability students, therefore allowing you to normalise the data if used to assess a year group or class group. There is no mark scheme.
silvestertim