1. Resources Home
  2. Middle School
  3. Math
  4. Advanced pure
  5. Roots of polynomials
Sketching Quartic Graphs table

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

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.*
biggles1230
Solving Quadratic Equations

Solving Quadratic Equations

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.
mathsmuscateer
Roots of Quadratics- Sum and Products

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)
commuter
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
Lesson on Remainder Theorem and Factor Theorem

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 "Polynomial Division". 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
Algebra: Quadratic Graphs 2 - Gradients & Other Problems (+ resources)

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 excellent free and premium resources, and as always please rate and feedback, thank you.
ajf43
Lesson on Simultaneous Equations where one equation is linear and one quadratic

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 "Simultaneous Eqn Linear Quad". 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
Differentiation Tangents and Normals Part 2

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
joezhou
AS Level 2017 Mathematics Lesson 23 and 24 Curve Sketching

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
Weltmeister7
Logarithm Questions Part 2

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
joezhou