#### Cubics: Expanding and factorising

With factorising and removing brackets of cubics being new to the GCSE specifications last year I have introduced these two lesson to my class teaching. Starting with removal of brackets students are able to extend from the two brackets situation to the three brackets. The following lesson looks at the more complicated factorising a cubic. Initially starting with the first factor given style of question before looking at factorising with no hint given. Worksheets are given for both lessons which could be used in class or as a piece of homework.

#### Surds topic

4 full lessons 1 homework lesson 1 - introduction to surds lesson 2 - simplifying surds lesson 3 - rationalising the denominator lesson 4 - conjugate rationalising the denominator Please review and follow For more resources: https://www.tes.com/teaching-resources/shop/osmith25

#### Conjugate rationalising the denominator lesson

Lesson includes Title, date, objective, success criteria, key words Starter Discussion task Definitions and examples AfL quick fire questions AfL true or false AfL misconceptions questions Chilli challenge questions Accessible for lower ability and challenge high ability Plenary FUSE Please leave a review For more resources: https://www.tes.com/teaching-resources/shop/osmith25

A powerpoint introducing using the quadratic formula to solve quadratic equations. A worksheet for students to create their own equations to solve. Students roll dice to choose coefficients, then write the equation in their books and solve. No solutions due to huge amount of possible questions. Need dice for lesson

#### Curve sketching and trig formulae and revision notes

Revision notes with formulae. Can be used for revision or as a formulae sheet. Includes: Standard graphs with descriptions. Continuous and discontinuous functions Finding maxima and minima Division of polynomials Converting between degrees and radians, including common angles in degrees and radians Arc lengths, sectors and segments Sine and cosine rule Double angled and half angled formula

#### 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!

#### Partial Fractions

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

#### 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.*

These three worksheets combined have 180 quadratic equations. On the first page of 'Solving Quadratic Equations 1' the equations are organised by type of factorising: Highest Common Factor, Difference of Two Squares and Product-Sum Method. On the second page, the same three types have been mixed up, and students need to identify which type of factorising to use. 'Solving Quadratic Equations 2' and 'Solving Quadratic Equations 3' are more difficult, and can be used as a differentiated task either done in class or set for homework. 'Solving Quadratic Equations 3' is targeting students who are aiming for a grade 9. All three worksheets have answers. For your convenience, the Word files are included.

#### Roots of Quadratics- Sum and Products

Aimed at KS5 pupils and pupils doing further maths IGCSE full lesson with ppt and worksheets (worksheets are from SRWhitehouse thanks for posting them as the work set in the PPT relates to Edexcel IGCSE Further Pure Maths text book) PPt has full worked examples, starter on finding the descriminant and finding how many roots a quadratic has). Introduces the roots and sums and products. Opportunity for group discussion with full work examples. (amended one slide 03/11)

#### 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!

#### 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

#### Algebra: Quadratic Graphs BUNDLE (3 Lessons) - ideal for years 10 - 12

This is a three lesson sequence of lessons on quadratic graphs, with the first two containing the material needed for GCSE and the third lesson the additional material needed for AS-Level. 1. Introduction 2. Gradients and Other Problems 3. Further Problems 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: Quadratic Graphs 2 - Gradients & Other Problems (+ resources)

This is second of two whole lessons on teaching the various aspects of quadratic graphs containing the various aspects introduced with the new 9-1 GCSE syllabus. The first lesson being the introduction is important to go through before this lesson and this builds on it by looking at problems involving the gradient. 14 slides. This lesson is available with two other lessons on quadratic graphs as a three-lesson bundle and a reduction and is highly recommended as an excellent sequence of lessons. 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!

#### 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

#### 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

#### AS Level 2017 Mathematics Lesson 23 and 24 Curve Sketching

Two lessons which slowly take students through the basics of curve sketching. The powerpoints show students how to get a hold of the shape of each curve (quadratic, cubic, quartic, reciprocal), the role the sign of the dominant terms plays and the effect of repeated roots (tangency). The powerpoints contain a starter of basic material in the A level course so far and the worksheets are fully differentiated. One of these can easily be used with KS4, the other should only be used for high achievers

#### Logarithm Questions Part 2

These are worksheets on logarithms, worksheets 3 and 4, containing more demanding log equations. 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

#### Logarithm Worksheets Part 1

These are worksheets on logarithms, in increasing difficulty. 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

These are tiered questions on factorise quadratic expressions. We start with the type without constant term, moving onto monic quadratic expression where the coefficient of x squared is 1, then negative x squared coefficient, and finally common factor in the three terms. 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

This worksheet contains questions on quadratic discriminant which specifically lead to quadratic inequalities. 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

#### Lessons on Solving Quadratic Equations by Completing the Square

These are two lessons on completing the square. Lesson 1: Start with motivating example that it is in theory possible to find pairs of numbers for factorisation for any solvable quadratic, but in some cases this guessing difficult, as it involves surds, and instead we use completing the square to factorise. Then we go through a few basic examples of monic quadratics, demonstrating completing the square as well as then using the difference of two squares identity to factorise. Lesson 2: Completing the square on non-monic quadratics. Case 1, the coefficient of x squared is itself a square. Case 2, the coefficient of x squared is itself a not square. We give three different ways to deal with the problem in case 2, each time demonstrating completing the square technique. 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;Quadratic Complete Square&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

#### PreCalculus Units 1 - 3 Foldables Bundle

SAVE with foldables for units 1 - 3 of your Pre-Calculus course. Sets include: - Color-coded graphic organizers* - Black-line master graphic organizers - Color coded notes with examples. - Practice problems or activity such as puzzle or card sort (good for homework) - Answer key for practice problems This purchase is for one teacher only. This resource is not to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses. If you are interested in a site license, please contact me for a quote at docrunning@kulikuli.net. This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

#### Completing the Square ¦ Key Stage 4 ¦ Maths ¦ Quadratics (1) ¦ Lesson Presentation

A detailed key stage 4 maths lesson presentation. Lesson title: completing the square. This document was created with Microsoft Office Home and Student 2013 in widescreen (16:9) format. It is important that PowerPoint is set to widescreen (16:9) before opening this file. Failure to do so will result in errors in graphics alignment. Earlier versions of PowerPoint may also result in suboptimal performance. This document should be used in conjunction with the related lesson presentation, lesson plan, activity sheet and computer model files, which are also available for download. Detailed teacher's notes and homework activity sheets are also available. Any videos referenced in this document are not available for download but can be provided on request. Please email Aspen Resources if video content is required. This file and its content are to be used by the party that has paid for and downloaded the document only and must not be disseminated to other parties without the consent of Aspen Resources. Aspen Resources is a provider of high quality teaching resources. With a growing reputation for excellence, Aspen Resources is becoming a byword for progress in education. Make Aspen Resources your preferred provider for educational content.

#### Quadratics Edexcel A-level Year 1/AS Pearson Ch 2

Presentation covering the whole of chapter 2 (4-6hrs) from the Pearson edexcel Pure Mathematics Year 1/AS book. Includes examples and notes for; Solving quadratic equations by factorising and using the quadratic formula. Completing the square. Function notation and functions. Quadratic graphs. The discriminant. Suitable for the new A-Level specification year 1 or AS-level. Also suitable for able GCSE students. Presentation designed to be used as teaching aid for entire block of lessons. Opportunities for students to work through examples on whiteboards, and notes on key points. All learning objectives included and maintained throughout the presentation. Editable for you to select you own questions or add consolidation work. OTHER CHAPTERS AVAILABLE

#### Topic 2: Functions and equations (IB Standard level)

Including all the Power point presentations for the Topic 2 -Functions and equations, based on the IB Mathematics SL Syllabus. The sub topics are: Introducing functions The Domain and the Range Function Notation Composite functions Inverse functions Transforming functions Solving quadratic equations The quadratic formula Roots of quadratic equations Quadratic graphs y=ax2+bx+c Quadratic graphs y=a(x-h)2+k Quadratic graphs y=a(x-p)(x-q) Finding the equation of a quadratic function from a graph The reciprocal function Rational functions Exponential functions Transformations of Exponential functions Logarithmic functions Applications of exponential and logarithmic functions

#### Algebra Bundle 20% off

A bundle of my algebra premium resources, Algebraic Fractions, Compositie Functions, Iterations, Equations of Linear Graphs,, Substitution, Roots and Turning Points. All fully differentiated and suitable for new curriculum with plenty of problem solving, reasoning ect. Soltions for all tasks included.

#### A level maths - 1st year

Selection of presentations that cover most of the 1st year pure maths in the A level maths course

#### Further Maths for Engineers

Powerpoints that cover the BTEC further maths for engineers unit

#### Maths for Engineers

Powerpoints cover all areas of the BTEC maths for engineers unit

#### Roots and Turning Points

A series of lessons (2-3) on finding the roots and turning points equations. It recaps the skills required such as solving, factorising and completing the square on a quadratic and then develops these skills to find roots and turning points of an equation. There are plenty of reasoning tasks suitable for the new curriculum and this stretches the more able to understand the properties of graphs. There are also algebraic questions and links it to sketching graphs. All tasks are differentiated to 3 or 4 levels to allow the skill to be practiced and then to stretch and challenge the more able. All tasks have either worked solutions or typed solutions so that the pupils can self mark. This has been used with top set year 11, all pupils engaged and made good progress.

#### Polynomial Equations – Circuit Training

Polynomial Equations – Circuit Training Work out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit. There are 16 problems in this product. All answers are included. My students love doing these activities. Thank you for checking my resources.

#### Equations Inequalities Bundle

£20 pounds worth of resources at a bargain price. Brilliant Equations Bundle. Great for Revision or Whole Lessons. Contains the tried and tested resources of Equations, Inequalities, Simultaneous Equations, Quadratic Equations and Function Machines. Lots of questions with in depth answers.

#### AS Roots and the discriminant

A powerpoint for C1 that covers using the quadratic formula, what roots are and how the discriminant can be used to determine the number of roots a function has.