1. Resources Home
  2. Whole School
  3. Math
  4. Advanced pure
  5. Functions
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
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
Graph Sketching Discussion Venn Diagram

Graph Sketching Discussion Venn Diagram

Students are to think of a graph that would fit in all the regions of the Venn diagram. Three categories are: 1. Graphs with only 1 stationary point 2. Graphs with a maximum 3. Graphs that go through the point (0,1) This is really useful as a discussion activity for where graphs cross the axes and for differentiation. A sample set of answers is included.
wtongue
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
A-Level Maths - Core 1 - Complete Notes

A-Level Maths - Core 1 - Complete Notes

10 pages of neatly handwritten notes on the whole syllabus of Pure Core 1 (AQA). I usually use these to give to my students if they struggle to take notes and concentrate at the same time. It also acts as a handy detailed syllabus/plan of study, as well as just a revision tool for students: Sections of the notes: 1 - Straight Lines 2 - Quadratics 3 - Surds 4 - Simultaneous Equations 5 - Inequalities 6 - Algebraic Division 7 - Cubic Graphs 8 - Circles 9 - Differentiation 10 - Integration * - With 2 pages of worked exam solutions to go with regular examples throughout. Please have a look at some of my free IB notes if you would like to see the style of notes I am offering here. Hopefully there are none, but please let me know if you do see any errors! Also, let me know if there is any interest in other A-Level modules!
jwmcrobert
C1 Graphs and Transformation

C1 Graphs and Transformation

Self made questions about graphs and transformations for AQA A-Level Maths. Designed to be a little but harder and more strange than those seen in past paper exam questions. Does not come with marks scheme but will be easy to figure out the solutions.
TheWilWheaton