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Polynomials- factor theorem and remainder theorem

Polynomials- factor theorem and remainder theorem

Series of lessons on polynomials recommended order Factor Theorem Factor Theorem 2 (completely factorising) Remainder Theorem aimed at KS4 IGCSE Further Pure Maths but usuable with KS5 full worked examples on each with work included within the presentations in most cases. All answers provided. Hope you enjoy please leave feedback
commuter
Algebra with Fractions basics - help for KS5 (or KS4)

Algebra with Fractions basics - help for KS5 (or KS4)

This question sheet is aimed at A Level students who are struggling to do simple algebraic manipulation where fractions are involved. For the most part these are not typical 'algebraic fractions' questions (e.g. adding algebraic fractions), but are more basic than that. For example, I have encountered students who are otherwise working at fairly high grades but are unable to differentiate, say, 3x/4 because they cannot see that it is equivalent to 3/4× x (and hence simply x multiplied by a constant). Another issue is that students quite often ‘simplify’ fractions by trying to cancel in invalid ways.
pand
Exploding Simultaneous Equations

Exploding Simultaneous Equations

This is a set of 6 sheets of increasingly difficult simultaneous equations designed to make students think and discuss how to work through their solutions by giving them different parts of the process. They include simultaneous equations that involve a linear and a non-linear equation. This is also designed to stretch at GCSE or could be used at the start of A level.
alutwyche
50 slide Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

50 slide Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

50 slide Powerpoint on the topic of Logs and Exponentials, which is intended to challenge more able Higher Maths students who may be considering continuing their Maths studies by taking the Advanced Higher course. The Powerpoint begins with a brief revision of the main rules, followed by 30 multi-part questions. Many of these problem solving questions are multi-topic (such as relating to composite functions, transformations of functions, inverse functions, circles, quadratic theory, cubics and synthetic division, straight line theory, proofs, surds, indices etc) and some require changes of log base, the use of exponential substitutions, and the factorising of exponential and logarithmic functions. There are several examples of finding constants and plotting graphs for log-linear functions. Fully Worked Solutions (including many graphs) included.
biggles1230
Factor Theorem 1

Factor Theorem 1

Aimed at KS5 pupils and pupils doing further maths IGCSE an introduction to the factor theorem Starter to remind how to divide polynomials, discussion task on what makes a factor. Full worked example on how to use the factor theorem to show something is a factor Full worked example on how to use the factor theorem to find missing coefficients Follow up tasks for all of this with fully worked solutions hope you find it useful and enjoy please leave feedback (will do one on remainder theorem next)
commuter
Algebra: Proof - Perfect for the new 9-1 GCSE specifications (+ questions)

Algebra: Proof - Perfect for the new 9-1 GCSE specifications (+ questions)

This is a whole lesson on looking at proof. This lesson comes with lots of examples and activities to get pupils thinking and excellent clear teaching slides and this has helped my classes to understand proof. It comes with some exam questions, which are great and exactly what they face in the exams with answers. 17 slides!! It comes with a starter, learning objectives, key words, examples, key tips, questions, answers and two plenaries. Also included an additional starter activity that I often use with weaker groups. NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thank you.
ajf43
GCSE 9-1 Exam Question Practice (Simultaneous Equations with Quadratics)

GCSE 9-1 Exam Question Practice (Simultaneous Equations with Quadratics)

This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home. This can save a lot of valuable time in class. Click -->https://tes.com/.../Exam Question Practice to download question compilations on 40 other topics. --- This particular compilation helps students practice TOPIC. The questions cover the full range of skills expected at GCSE and are ideal for consolidation or revision. I usually print the questions as an A5 'booklet' and issue them in class or give them out as a homework. I also make them available for a student who wants to do independent study.
Maths4Everyone
Algebra: Cubic Graphs & Factor Theorem (+ resources) - perfect for higher tier & AS level

Algebra: Cubic Graphs & Factor Theorem (+ resources) - perfect for higher tier & AS level

This is a whole lesson. 20 slides. It starts looking at drawing cubic graphs, before quickly moving on to looking at sketching them and developing the understanding and skills to do so. It looks at working out the key points needed and using the factor theorem and factorising in order to do so. The lesson comes with a starer, several little MWB activities, worksheet, excellent teaching slides, a handout of all the different graphs and plenary. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thank you.
ajf43
GCSE 9-1 Exam Question Practice (Advanced Formulae)

GCSE 9-1 Exam Question Practice (Advanced Formulae)

This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home. This can save a lot of valuable time in class. Click -->https://tes.com/.../Exam Question Practice to download question compilations on 40 other topics. --- These 'booklets' cover the full range of skills expected at GCSE for each topic. The questions in this particular compilation focus on changing the subject of formulae. The questions start with formulae that can be rearranged in two steps and then progress to ones which take up to five steps. I usually print these questions as an A5 booklet and issue them in class or give them out as a homework. I also make them available for a student who wants to do independent study.
Maths4Everyone
Lesson on Straight Line Equation Applications 2 (Even harder problems)

Lesson on Straight Line Equation Applications 2 (Even harder problems)

This is a lesson on even more demanding straight line equations application problems - perpendicular bisectors, more intersections, triangular areas etc. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe
joezhou
Lesson on Equations of Straight Lines

Lesson on Equations of Straight Lines

These are two starter lessons on equations of straight lines. The first is on sketching, and focus on gradient interpretation and the connection between a line and its equation. The second is on finding line equations in general. The bundle contains both the lesson presentations with 'overlay animations', where steps are reviewed one at a time. There is also an accompanying presenter view pdf for teachers for each lesson ppt. The documents are prepared meticulously with LaTeX, I hope you find these useful. In addition, you can get unlimited number of high quality practice questions and solutions for both lessons on my website: www.onemathsquestions.com. You can generate the worksheets yourself, and each question will come with a set of very detailed step by step solutions, set out in exactly the same way as the lesson presentation examples. Hope you find these useful, and if you have any comments or suggestions, please feel free to contact me through TES or my website. Best wishes, Joe
joezhou