#### Algebraic Fractions 4-in-a-row

Students must add, subtract and simplify algebraic fractions in order to get 4 in a row on the game grid. The students take it in turn to answer a question and are awarded the square if they get the question correct. If they get the question wrong their opponent has the chance to steal. The first player to successfully get 4 in a row is the winner. Solutions are provided.

#### Surds

Lots of questions on surds for students to try. Answers are at the bottom. Please let me know if you like it.

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### Challenge Problems Worksheets 2

Subject: Calculus, Geometry, Algebra 2 Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (6 pages), appropriate for an impromptu quiz This the second worksheet in the Challenge Problems series. Taken from Arithmetic through Calculus, these problems require not only an understanding of the basic concepts but, often, a bit of imagination. Any formula or definition (within reason) that is required to solve the problems will be given, all that the student has to supply is imagination and a little elbow grease. Each problem set is accompanied by a detailed set of solutions for each problem (sometimes more than one).

#### BTEC Assignments (1-3) Unit 7: Using Mathematical Calculations for Science Assignments

These are the assignment briefs of BTEC National Applied Science Unit 7: Mathematical Calculations for Science. All these assignments have been verified internally. Teachers can add the assessor name and their school logo after editing the front sheet. All these briefs have been written in alignment with the BTEC Unit 7 specification or syllabus.

#### Algebra: Remainder Theorem + Worksheet - perfect for AS Level

This is a whole lesson on the different aspects of learning the remainder theorem. 27 slides + worksheet. The lesson includes: A starter linking to solving quadratics and factorising Learning objectives key words 2 AFL activities around the key words (avoids confusion when doing exam questions) quick few examples and activities on factorising (reminder only) Method One: Long Division (1 example and 1 question) Method Two: Introspection (2 examples and 1 question) - my preferred method as I think it makes why it works much clearer and builds a better understanding. WORKSHEET with ANSWERS! Plenary - 3 questions that can fully factorise. NOTE: Feel free to browse my shop for more excellent free and premium lessons and as always please RATE and FEEDACK, thank you!

#### Calculus Quiz - Integration by Alg Sub 2 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes This is the second quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have only algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Calculus Quiz - Integration by Alg Sub 1 - Algebraic Integrands w/ Solutions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Examinations/Quizzes (3 pages) This is the first quiz in the Integration by Algebraic Substitution series. These problems are dealing with integrals that have algebraic integrands. Included is a separate set of very detailed step-by-step solutions.

#### Partial Fractions

Differentiated A level lesson plan and presentation to help students understand Partial Fractions. Starter, task, assessment and plenary for the lesson

#### Calculus Worksheet - Derivatives by Definition 1 - Polynomial and Rational Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheets (4 pages) This is the first worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of polynomial and rational functions by the definition.

#### Calculus Worksheet - Derivatives by Definition 2 - Radical Functions

Subject: Calculus Grade Levels: 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: Worksheet (5 pages) This is the second worksheet in the Calculus - Differentiation Techniques series. It provides practice in calculating the derivatives of radical functions by the definition.

#### The Equilateral Triangle - Simultaneous Equations - Starter Plenary Problem Solving

A problem based on simultaneous equations. This could be used as a starter, plenary or a question on a test. Designed originally for higher ability KS4 or early KS5.

#### Maths A level revision questions

This bundle includes question/answer files aimed at revising the topics from A level maths, and especially the Core 3 and Core 4 topics.

#### FSMQ revision questions

This bundle includes revision files for the FSMQ exam.

#### Sketching Quartic Graphs table

A table which helps pupils to sketch quartic graphs. Some questions where pupils are required to work backwards, such as using the graph to work out equation.

#### 40 slide Powerpoint Advanced Higher Maths Complex Numbers Argand Diagrams Worked Solutions

40 slide Powerpoint for Advanced Higher Maths Unit 2: Complex Numbers. There is a brief revision of the basics of Complex numbers followed by a series of questions. The 24 questions (many of them multi-part) require the construction of Argand Diagrams, use of the quadratic formula, polynomial long division, and simultaneous equations. There are fully worked solutions (including diagrams) for complex number topics relating to: Equating Real and Imaginary Parts; Finding square, cube, fourth, fifth and sixth roots of complex numbers (including unity) and plotting them on an Argand diagram; Verifying and finding roots of complex number polynomials; Expanding and simplifying complex numbers using the Binomial Theorem and De Moivre’s Theorem; Interpreting geometrically loci in the complex plane; Conversions between polar and rectangular forms; Complex Conjugates; Exponential Form; Trigonometric identities, substitutions and simplification. The questions are grouped in approximate order of difficulty and to match the usual order of progress through this topic. *Animated workings come up line by line on mouse clicks.*

#### 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

#### 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.

#### 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)

#### New GCSE Grade 8/9 target

Our three GCSE maths grade 8/9 target packs on algebra, number and geometry. This normally costs £8 but is on offer for the weekend until the 18th March as part of the SpringSavings sale. See more resources like this HERE

#### 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, keywords, 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 free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

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

This is a whole lesson. 20 slides + resources. 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 starter, 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 free and premium resources! As always please RATE and FEEDBACK (comments good or bad) thank you!

#### GCSE 9-1 Exam Question Practice (Rearranging Formulae)

This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/../Exam Question Practice… to download question compilations for more than 50 other topics. 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 focused independent study on a topic. -- 👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page does not work, then go to your ratings page by clicking here 👉tes.com/.../rate-resources…

#### 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

#### 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

#### GCSE 9-1 Exam Question Practice (Algebraic Fractions - Simplifying)

This carefully selected compilation of exam questions has fully-worked solutions designed for students to go through at home, saving valuable time in class. Click 👉 tes.com/../Exam Question Practice… to download question compilations for more than 50 other topics. 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 focused independent study on a topic. -- 👍If you like this resource, then please rate it and/or leave a comment💬. If the rate-resource button on this page does not work, then go to your ratings page by clicking here 👉tes.com/.../rate-resources…

#### Lesson on Remainder and Factor Theorem Applications

This is lesson on remainder and factor theorems application questions, suitable for exam preparations. 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. They are under topics &quot;Polynomial Division&quot;. 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

#### Lesson on Remainder Theorem and Factor Theorem

This is lesson on remainder and factor theorems. 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. They are under topics &quot;Polynomial Division&quot;. 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

#### Lesson on Algebraic Division

This is lesson on algebraic division, learning algebraic division from long division. Also contain example where divisor is quadratic. 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. They are under topics &quot;Polynomial Division&quot;. 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

#### Lesson on Simultaneous Equations where one equation is linear and one quadratic

This is lesson on solving simultaneous equations where one equation is linear and the other is quadratic. 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. They are under topics &quot;Simultaneous Eqn Linear Quad&quot;. 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

#### Lesson on Simultaneous Equations by Elimination and Substitution

These contain two lessons: 1. Solving simultaneous equations by elimination. 2. Solving simultaneous equations by substitution. 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. They are under topics &quot;Simultaneous Equations&quot;. 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

#### Differentiation Tangents and Normals Part 2

This worksheet contains some demanding questions on tangents and normals, suitable for more able students. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

#### Differentiation 1 - Tangents and normals

Two worksheets on tangents and normals, starts off standard, the difficulty increases, later questions can be challenging. As always, detailed solutions are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com

#### Differentiation questions - sum of powers of x and surds with expand

These are suitable for initial practice on differentiation. Detailed typed answers are provided to every question. I hope you find it useful. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com