Advanced pure teaching resources: Roots of polynomials

Resources and ideas for mathematics, advanced pure, roots of polynomials, written by teachers to support teaching and learning

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Quadratics (Factorising, Completing the Square and Formula)

Quadratics (Factorising, Completing the Square and Formula)

Get 3 Pounds credit use JNDD6P55 at TES.com/redeem while it lasts.Written by an Outstanding practitioner from an Outstanding School. This resource contains:1) A 23 slide power point containing explanation, questions and in depth answers/solutions on:a) Drawing quadratics. b) Factorising and solving quadratics. c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula. f) Sketching and using the Discriminant.2) 6 Exercises/questions on the below 6 points: The exercises are on the power point and on a word document for you to choose how to use them. a) Drawing quadratics. b) Factorising and solving quadratics. c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula. f) Sketching and using the Discriminant.3) Full in depth answers to the above 6 exercises, this is fantastic tool for support and extension. The Answers are on a word document,great for you and your students to check answers and use as a guide to support and differentiate. There is 3 hours worth of lesson resources. Kindly review after purchasing. Thanks.

By Shamster

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Algebra Bundle (Simultaneous Equations and Quadratic Equations (7 Lessons)

Algebra Bundle (Simultaneous Equations and Quadratic Equations (7 Lessons)

Special Offer until 31st March. Normally £15.00 Get £3 credit to spend, just enter the code SPRINGSALE17 or R4HW5U91You can use both codes and get 6 pounds credit if you have not used both of these codes before. Enter the codes here: https://www.tes.com/redeemThis Bundle Contains Solving Quadratic Equations (Factorising, Completing Square and Formula), Solving Simultaneous Equations (Elimination, Substitution, Linear and Quadratics) comes with Questions and Solutions. Bonus Hexagon Puzzle for Indices. Read on for full details. Quadratic Equations:Written by an Outstanding practitioner from an Outstanding School.This resource contains:1) A 23 slide power point containing explanation, questions and in depth answers/solutions on:a) Drawing quadratics.b) Factorising and solving quadratics.c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula.f) Sketching and using the Discriminant.2) 6 Exercises/questions on the below 6 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Drawing quadratics.b) Factorising and solving quadratics.c) Completing the squared) Solving after completing the square.e) Solving using the quadratic formula.f) Sketching and using the Discriminant.3) Full in depth answers to the above 6 exercises, this is fantastic tool for support and extension. The Answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.There is 3 hours worth of lesson resources. Simultaneous Equations:Written by an Outstanding practitioner from an Outstanding School.This resource contains:1) A 17 slide power point containing explanation, questions and in depth answers/solutions on:a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).2) 3 Exercises/questions on the below 3 points: The exercises are on the power point and on a word document for you to choose how to use them.a) Solving Simultaneous Equations (Elimination Method).b) Solving Simultaneous Equations (Substitution Method).c) Solving Simultaneous Equations Linear and Quadratic (Substitution Method).3) Full in depth answers to the above 3 exercises, this is fantastic tool for support and extension. The answers are on a word document, great for you and your students to check answers and use as a guide to support and differentiate.4) 3 Exam Questions with Mark Scheme.There is minimum 2 hours worth of lesson resources.Kindly review after purchasing. Thanks.

By Shamster

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Additional Bundle (Recent Bundle)

Additional Bundle (Recent Bundle)

Special Offer until 31st March. Normally £20.00Get £3 credit to spend, just enter the code SPRINGSALE17 or R4HW5U91You can use both codes and get 6 pounds credit if you have not used both of these codes before. Enter the codes here: https://www.tes.com/redeemResources Created Recently. Function Machine2. Simultaneous Equations (Elimination/Substitution) (Exercises come with step by step answers)3. Quadratic Equations (Factorising/Complete the square / formula) (Exercises come with step by step answers)4. Direct Proportions 5. Factor Theorem Dividing Polynomials for Year 12 AS Maths 6. Sine / Cosine Rule (Advanced Trig) (Exercises come with step by step answers)

By Shamster

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C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

C2 AS Level Maths Core 2 - Chapter 1 Factor and Remainder Theorem

AS Level Mathematics (Pearson / Edexcel Exam Board)Chapter 1 Factor and Remainder Theorem Resources are written by an Outstanding Practitioner. - Factor Theorem - Remainder Theorem - Dividing Polynomials- Simplifying Expressions - Exam Questions and Answers There is 3 Lessons (150 Minutes worth of resources)- 2 Power points, full of questions and step by step answers. - Exam Questions with Answers. Kindly review once purchased.

By Shamster

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AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

AS Maths Bundle (C1: Ch2 & Ch3) and (C2: Ch1 & Ch2)

Get 3 Pounds credit use JNDD6P55 at TES.com/redeem while it lasts. Core 1 - Edexcel / Pearson Exam Board Chapter 2 (Quadratics) - Drawing Quadratics. - Factorising and Solving Quadratics. - Completing the square and Solving Quadratics. - Using the formula and Solving Quadratics. - Sketching Quadratics and Using the Discriminants. - Exercises include Step by Step answers. Chapter 3 (Simultaneous Equations) - Solving by Elimination Method - Solving by Substitution - Solving by Substitution - Linear / Quadratic - 3 Exam Questions with Mark Scheme - Exercises include Step by Step answers. Core 2 - Edexcel / Pearson Exam Board Chapter 1 - Factor Theorem - Remainder Theorem - Dividing Polynomials - Simplifying Expressions - Exams Questions and Answers Chapter 2 - Sine Rule - Cosine Rule - Sine Rule Area - Worked through exam questions. - Exercises include Step by Step answers. Written by an Outstanding Practitioner. Kindly Review after purchasing.

By Shamster

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Everything Bundle Part 3 of 3 (Contains Most Recent Resources)

Everything Bundle Part 3 of 3 (Contains Most Recent Resources)

Special Offer until 31st March. £39.99 Normally. Get £3 credit to spend, just enter the code SPRINGSALE17 here: https://www.tes.com/redeem14 Resources. 35 Lessons worth of resources.You are guaranteed to be happy with what you are buying.Each lesson being 50 minutes worth.Please look at each resource individually for details.

By Shamster

Dividing Polynomials – Circuit Training

Dividing Polynomials – Circuit Training

Dividing Polynomials – Circuit TrainingWork 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.My students love doing these activities.Thank you for checking my resources.

By NewMathWorld

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Factor Theorem and Factorising and solving Cubic equations

Factor Theorem and Factorising and solving Cubic equations

A quick recap of factorising standard quadratics reminds students of GCSE factorising and then goes onto introduce the factor theorem.Several questions with answers on proving factors using the factor Theorem.Then examples on how to use the reverse box method to do algebraic long division - by far the most fool proof and student friendly way of doing it - this is followed by a number of exercises which applies both the factor theorem to find the first root, and then using the reverse box method to factorise fully and solve.

By mettepette

A level maths revision jigsaw

A level maths revision jigsaw

Jigsaw covers calculus, quadratics, coordinate geometry and many other first year A level topics. All 4 sheets can be cut up and then the learners can reassemble them to make a geometric shape.

By al_robinson76

Maths for Engineers - Graphing Techniques

Maths for Engineers - Graphing Techniques

A presentation that shows students how to solve simultaneous equations using a graphical technique involving linear, quadratic and cubic equations. Includes questions for the students to plot and solve and answers

By al_robinson76

Quadratic Equations - solve by finding the square root Interactive Notebook Graphic Organizer

Quadratic Equations - solve by finding the square root Interactive Notebook Graphic Organizer

This set of guided notes and practice problems walks students through how to solve quadratic equations by finding the square root. Students use the color-coded guide to complete notes on one method to solve quadratic equations. Students practice solving with numeric and word problems included in this resource.This resource includes: - Graphic organizer and notes for solving quadratic equations by taking the square root- Practice problems including word problems- Color coded notes- Answer key 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.

By docrunning

Solve Quadratic Equations by Square Root Method Coded Message Activity

Solve Quadratic Equations by Square Root Method Coded Message Activity

This set of 2 coded message activities is a fun way to practice, review or assess solving quadratic equations using the square root method.NOTE: There are not problems for all 26 letters. Each page contains 10 - 14 practice problems.This resource includes:- Two alphabet keys with 10-12 problems each- Two message codes- Two answer keysThis 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.

By docrunning

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Introduction to Calculus, Quadratics, tangents and stationary points

Introduction to Calculus, Quadratics, tangents and stationary points

A large selection of presentations that introduce calculus using the quadratic graph. They cover everything from sketching quadratic graphs to using differentiation to find the min/max points. The presentations also cover equation of tangent and normal and using the second derivative to find the nature of a stationary point. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

Factor Theorem and Remainder Theorem

Factor Theorem and Remainder Theorem

A presentation that shows learners how to use the factor theorem to factorise cubic equations. From the basics up to algebraic division and complete with questions for the students to complete and solutions. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

By al_robinson76

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Quadratics Bundle for Algebra 2

Quadratics Bundle for Algebra 2

This money saving bundle of 6 Quadratics resources includes notebook pages and activities for factorising, vertex and standard form, and graphing functions. Plus put it all together with the design a roller coaster mini-project.

By docrunning

Mathematical Ambiguity & topic relationships

Mathematical Ambiguity & topic relationships

A presentation exploring ambiguity in the operations and objects of Maths and a set of concept maps that connect various topics of GCSE and IB/A level syllabuses. Quadratic, Log, Trigonometric and Functions are mapped in detail. Useful crossover introductory material that can provide some meaning and context in helping to make some connections between otherwise disparate fields. The presentation develops five areas in which the terms and processes of mathematics are inherently ambiguous: from the irrationals and infinity, the variable as a receptacle, the filling of the number line, forming operations with numbers to the notion of equality and sameness. That is from a number being both a noun (a fractional object) and a verb (process of adding a convergent series of rationals). That algebraic formulations using a variable x, allow for x in one sense to have any value ( before the equation is solved) to a specific value when it has been solved. As five separate chapters each one can serve as nonstandard provocative discussion/starter/plenary material .

By leeleemacjames

Vertex and Standard Form of Quadratic Functions Puzzle Activity

Vertex and Standard Form of Quadratic Functions Puzzle Activity

This puzzle activity is a fun way for students to practice Converting between Standard and Vertex Form of Quadratic Functions. Students convert vertex form functions into standard form and standard form functions into vertex form. They use the solutions to form a puzzle. Two versions included. Great for self-checking.This resource includes: - Two levels of puzzles- Answer key Algebra 2 and Precalculus Function resources include:- Functions: Piecewise Functions Interactive Notebook Notes and Activity- Variations for Precalculus Notes and Activity- Evaluate Functions Task Card Activity- Functions: Inverse Functions Practice and Review Math Detective- Representing Functions Interactive Notebook and Card Sort Activity for PreCalculus- Domain of Functions Math Detective Activity- Functions: Operations with Functions Practice and ReviewThis 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.

By docrunning

Vertex Form and Standard Form of Quadratics Interactive Notebook for Algebra 2

Vertex Form and Standard Form of Quadratics Interactive Notebook for Algebra 2

This set of interactive notebook pages engages students in how to convert from vertex form to standard form and from standard form to vertex form of Quadratic Functions. Students take notes and practice with foldable included in this resource.These notebook pages include: - Converting from standard form to vertex form foldable graphic organizer- Converting from vertex form to standard form foldable graphic organizer- Notes for both topics- Practice activity for bothStudents can practice this concept with the Converting forms of quadratic functions Color by Number Activity and Converting forms of Quadratic functions puzzle activity.Algebra 2 and Precalculus Function resources include:- Functions: Piecewise Functions Interactive Notebook Notes and Activity- Variations for Precalculus Notes and Activity- Evaluate Functions Task Card Activity- Functions: Inverse Functions Practice and Review Math Detective- Representing Functions Interactive Notebook and Card Sort Activity for PreCalculus- Domain of Functions Math Detective Activity- Functions: Operations with Functions Practice and ReviewThis 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.

By docrunning

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All about cubic roots

All about cubic roots

This resource is carefully prepared to help the higher GCSE pupils with the understanding of the cubic roots. The easy to follow contents of the lessons will help the pupils to understand what they need to do in order to solve the relevant given problems with ease and confidence.

By nouchinjohn

Polynomial Division Interactive Notebook for Long Division and Synthetic Division

Polynomial Division Interactive Notebook for Long Division and Synthetic Division

This set of interactive notebook foldables for Polynomial division includes steps for long division and synthetic division of polynomials. These notebook pages include notes and practice problems. These pages are intended for Pre-Calculus students.This resource includes: - Color coded Foldable and notes for long division of polynomials- Color coded Foldable and notes for synthetic division of polynomials- 6 Practice problems for long division PLUS 6 Practice problems for synthetic division- Answer key 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.

By docrunning

Polynomial Division Task card for Synthetic and Long Division

Polynomial Division Task card for Synthetic and Long Division

This set of 16 problem cards and 16 solution cards on Polynomial divisionare a great way to practice and assess students’ understanding of dividing polynomials using synthetic division or long division. Skip the worksheet…but still get the practice. One set of cards has problems. The other set of cards has solutions. Students match the problem to the solution. You can designate the method students use or let students choose the method. These cards are intended for Algebra 2 or Pre-Calculus students.This resource includes: - 16 Polynomial Division Task Card Problems and 16 Solution Cards- A notebook-sized set of the task cards for interactive notebooks- Student Response Sheet- Answer key 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.

By docrunning