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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
Binomial Expansion Edexcel A-level Year 1/AS Pearson Ch 8

Binomial Expansion Edexcel A-level Year 1/AS Pearson Ch 8

Presentation covering the whole of chapter 8 (4-6hrs) from the Pearson Edexcel Pure Mathematics Year 1/AS book. Includes examples and notes for; Pascal's triangle Factorial notation The binomial expansion Solving binomial problems Binomial estimation Suitable for the new A-Level specification year 1 or AS-level. Presentation designed to be used as teaching aid for entire block of lessons. Opportunities for students to work through examples, 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.
domgosli
Binomial Expansion Worksheets

Binomial Expansion Worksheets

This worksheet bundle contains questions on binomial expansion for positive integer power index n. Detailed typed answers are provided to every question. I hope you find it useful. You can get more worksheets on many topics, mix and match, with detailed step-by-step solutions at http://www.onemathsquestions.com
joezhou
Erica's Errors - A Level (Year 2) Bundle

Erica's Errors - A Level (Year 2) Bundle

Erica is struggling with many aspects of the A level mathematics course and needs help from your students. What you have here is 17of her homeworks, each with mistakes in solutions which your students need to find, correct and explain where Erica has gone wrong. These are purely designed to generate discussion and to allow students to demonstrate their understanding, whilst also allowing them to show their own methods of silving problems. These are all based upon the new A level curriculum.
alutwyche
Binomial expansions (1+ax)^n - introductory worksheet

Binomial expansions (1+ax)^n - introductory worksheet

This resource can be used to quickly introduce the method for expanding expressions of the form (1+ax)^n where n is a positive integer. It begins by showing expansions of (1+x)^n for small values of n and highlights the coefficients to introduce Pascal's triangle. It then shows how nCr can be used to find the required coefficients in the expansions and has a few expansions of the form (1+x)^n for students to complete. Next is a worked example expanding (1-x)^n to introduce the technique and the pattern of the signs of the terms in the expansion, followed by a few expansions of the form (1-x)^n for students to complete. Next is a worked example expanding (1+ax)^n to introduce the technique and the best way to set out the working, followed by a few expansions of the form (1+ax)^n for students to complete. The answers to all the expansions are included.
langy74
Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

Can you crack the code? Demanding AS Level revision - perfect for new spec - problem solving!!!

For these lessons, I have a wooden box which I fill full of goodies (fruits, sweets etc). I then have a large metal chain wrapped around the box with a colourful padlock on (all of which builds the tension...). The aim is for the students to work away in pairs to crack the code! If you don't want to purchase the box etc, the worksheet works perfectly well on it's own. Note: the solution for this worksheet is 8224. This worksheet is a real challenge for your KS5 students - perfect for the new AS Level demands.
Mr_Luscombe_Maths
IB Maths HL - Topic 1 Algebra - Notes

IB Maths HL - Topic 1 Algebra - Notes

Handwritten notes that I made for my HL students on Topic 1 of Algebra in the IB. It includes: 1.1 - Sequences & Series 1.2 - Exponents and Logs 1.3 - Binomial Expansion & Permutations/Combinations 1.4 - Proof by Induction 1.5 - Complex Numbers 1.6 - Complex (Polar Form) 1.7 - De Moivre's Theorem/Euler's Theorem 1.8 - Complex Conjugate Roots of Polynomials 1.9 - Solving Systems of Equations with 3 variables
jwmcrobert
Erica's Errors On Binomial Expansion 3

Erica's Errors On Binomial Expansion 3

Erica's teacher thought she needed more practice on the binomial expansion with negative and fractional indices, including estimating a root using an expansion. She has, as ever, got it all wrong so needs your help. Designed to help students prove their understanding.
alutwyche
Erica's Errors On Binomial Expansion 2

Erica's Errors On Binomial Expansion 2

Erica is struggling when she has negative and fractional indices to expand using the binomial expansion. Can your class help her out and explain what she's done wrong please? Designed to demonstrate deep understanding and to encourage discussion in class.
alutwyche