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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
26 slide Powerpoint Advanced Higher Maths Complex Numbers Argand Diagrams Worked Solutions

26 slide Powerpoint Advanced Higher Maths Complex Numbers Argand Diagrams Worked Solutions

26 slide Powerpoint for Advanced Higher Maths Unit 2: Complex Numbers. The 20 questions 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. *Animated workings come up line by line on mouse clicks.*
biggles1230
Personalised Polynomials (Lagrangian interpolation)

Personalised Polynomials (Lagrangian interpolation)

A presentation made for my year 10's on personalised polynomials. Builds from equation between 2 points to equation of curve between 3 points. Doesn't go beyond this to n points. To create their names in polynomials just use your favourite online interpolater (I like wolframs https://www.wolframalpha.com/input/?i=interpolating+polynomial+%7B1,10%7D,%7B2,3%7D,%7B4,7%7D,%7B8,0%7D&lk=3 )
cmlk20
Polynomials- factor theorem and remainder theorem

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
commuter
The Remainder Theorem

The Remainder Theorem

Aimed at KS4 Further Pure IGCSE but easily adaptable for post 16 students. Powerpoint and worksheet (with answers) on the remainder theorem. Fully worked examples and answers given to all questions set. 4th lesson following on from dividing polynomials, factor theorem and factor theorem 2. Hope you like it please leave feedback (have amended it to remove an incorrect slide apologies) (worksheet is adapted by joezhou
commuter
9 GCSE/IGCSE Math worksheets (with solutions)

9 GCSE/IGCSE Math worksheets (with solutions)

9 GCSE/IGCSE Math worksheets on the following topics: percentage increase and decrease, percentages, fractions and decimals, reverse percentage, functions, composite functions, domain of a function, inverse functions, simplifying algebraic fractions, equations with algebraic fractions. Detailed solutions are provided. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html
math_w
Functions worksheet (with solutions)

Functions worksheet (with solutions)

A worksheet on evaluating a function at a given value and determining the domain of a funcction. Solutions are included, Good for GCSE/IGCSE students From https://placeformath.blogspot.com.cy/p/worksheet-shop.html
math_w
3 Worksheets on functions

3 Worksheets on functions

Three worksheets on functions. The following topics are covered: domain of a function, composite functions and inverse functions. Detailed solutions are included. Good for GCSE/IGCSE students. From https://placeformath.blogspot.com.cy/p/worksheet-shop.html
math_w
50 slide Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

50 slide Powerpoint: Challenging Higher Maths Logs Exponentials Questions Worked Solutions

50 slide Powerpoint on the topic of Logs and Exponentials, which is intended to challenge more able Higher Maths students who may be considering continuing their Maths studies by taking the Advanced Higher course. The Powerpoint begins with a brief revision of the main rules, followed by 30 multi-part questions. Many of these problem solving questions are multi-topic (such as relating to composite functions, transformations of functions, inverse functions, circles, quadratic theory, cubics and synthetic division, straight line theory, proofs, surds, indices etc) and some require changes of log base, the use of exponential substitutions, and the factorising of exponential and logarithmic functions. There are several examples of finding constants and plotting graphs for log-linear functions. Fully Worked Solutions (including many graphs) included.
biggles1230
Factor theorem 2 - fully factorising polynomials

Factor theorem 2 - fully factorising polynomials

Second part of Factor Theorem for my IGCSE Further pure maths, although easily adaptable for IB and A Level, this time on using the factor theorem when we have not been given any factor, before fully factorising by factorising a quadratic. Starter task reminds of using the factor theorem to show if (x-a) is a factor full examples given and follow up questions as well as evaluation tasks involving peer assessment. hope you enjoy, please leave feedback (next time I will do remainder theorem)
commuter
Factor Theorem 1

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)
commuter