51ºÚÁÏ

A worksheet intended as a plenary to check understanding of function machines, and the order of operations implicit within equations. A short check on the understanding of inverse operations is included. This worksheet should take around 10 minutes for students to complete.

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.

A range of questions designed to assess a student's understanding of perimeter, area and volume.

A variety of worksheets covering the four operations with integers and decimals, collecting terms and solving equations (including equations with quotients), angle calculations, measure, basic coordinate geometry, perimeter, area and volume, circles, and equivalent fractions, decimals and percentages.

This resource is accompanied by an answer document. It is aimed at students who have been taught to understand vector geometry and vector analysis. Students are required to work with column vectors and vectors expressed using letter notation, to understand parallel and perpendicular vectors, to calculate lengths and angles between vectors, to express unit vectors, and to apply an understanding of vectors within a range of geometric contexts. 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.

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.

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.

This resource is accompanied by an answer document. It is aimed at students who have been taught to solve problems involving Transformations including translations, reflections, rotations and enlargements. The problems include work on basic column vectors, fractional and negative scale factors, combinations of transformations, an understanding of congruent and similar shapes, and construction of rotations involving other angles. 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.

This resource is accompanied by an answer document. It is aimed at students who have been taught to simplify expressions involving surd form, to convert decimals from and to standard form, and to apply the rules of indices. Applied contexts in the paper include work on prime factor decomposition, application of Pythagoras where lengths are expressed in surd form, and some algebraic applications including completing the square. 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.

This is a series of 12 Foundation homework or revision assignments. 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. These foundation papers are aimed at low to middle ability students. The set can alternatively be purchased to include both Foundation and Higher (for middle to high ability students) versions. 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.

This paper provides a range of practice questions covering coordinate geometry and equations of lines, perimeter, area and volume, circles, equivalent fractions, decimals and percentages, fractions and the four operations, averages and range, and real life graphs and use of formulae. The paper provides an opportunity to assess understanding of the topics covered in my Mathematics ages 11 to 14 worksheets Compilation 5.

This is a series of 12 Foundation homework or revision assignments. 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. These foundation papers are aimed at low to middle ability students. The set can alternatively be purchased to include both Foundation and Higher (for middle to high ability students) versions. 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 Geometry and Algebra and are calculator papers. 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.

This resource is accompanied by an answer document. It is aimed at students who have been taught to understand how to find equivalent fractions, decimals and percentages and how to work with ratios. Students are required to use their understanding of equivalence within a range of different contexts, including basic equivalence questions, measures, frequency density, and basic trigonometry. There are a total of 60 marks available over 4 pages of increasing complexity, with a suggested grading scheme based on the new GCSE specification. This resource forms part of a large collection of topic-based papers designed to assess and challenge student understanding.

This resource is accompanied by an answer document. It is aimed at students who have been taught to solve simultaneous expressions for two linear, and one linear and one quadratic, equations. Problems also require a geometric understanding of simultaneous equations. 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.

This resource is accompanied by an answer document. It is aimed at students who have been taught to understand inequality notation, represent inequalities on a number line, express inequalities graphically and interpret shaded regions using inequalities, form inequalities from wordy problems, and deal with quadratic inequalities. 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.

This resource is accompanied by an answer document. It is aimed at students who have been taught to understand Pythagoras and Trigonometry applications. Students are required to work with sine rule, cosine rule, the area formula for a triangle, the basic Trigonometric identities and Pythagoras's Theorem with a range of different problem-solving contexts. There are a total of 60 marks available over 4 pages of increasing complexity, with a suggested grading scheme based on the new GCSE specification. This resource forms part of a large collection of topic-based papers designed to assess and challenge student understanding.

This paper provides a range of practice questions covering decimals and the four operations, collecting terms and solving equations, angle calculations and measure. The paper provides an opportunity to assess understanding of the topics covered in my Mathematics ages 11 to 14 worksheets Compilation 4.