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Binomial Theorem, Partial Fractions, Complex Numbers

Binomial Theorem, Partial Fractions, Complex Numbers

Three homeworks and a set of extended questions on the topics of Expansions with the Binomial Theorem Using Partial Fractions Complex Numbers, operations, polynomials, Argand diagrams and De Moivres Theorem All provided with comprehensive solutions
dh2119
Multiplying Complex Numbers – Math puzzle

Multiplying Complex Numbers – Math puzzle

Multiplying Complex Numbers – Math puzzle Use conjugates to rationalize a denominator. I’ve included three different sizes of the same puzzle. The smaller size is only two pages and is great if you are going to print of individual (or to work in pairs) copies for students to practice in class or at home. The larger size requires 3 pieces of paper and quite a bit of space to solve – fun for centers and group work. The extra-large size requires 8 pieces of paper. Cut out the puzzle pieces (or even better if your students do it themselves) and students are to solve the puzzle so that it matches the solution provided. If your students are going to cut out the pieces then no prep is needed – the puzzle is not in order. I’ve been using these puzzles for years with great success! I recommend printing the puzzles on colourful paper and laminating them. This way you only have to cut them out once and they will last for years! What is included in this product? • The solution to the puzzle – Page 3 • The normal size puzzle – Pages 4 – 5 • The large size puzzle – Pages 6 – 8 • The extra-large size puzzle – Pages 9 – 16 • Questions and Answers in a table format for easy grading or you can cut these out to play a matching game – Pages 17 – 19 My students love doing these types of puzzles. This product can also be used as a perfect revision of the school work to do at home. All answers can be easily checked thanks to the included solution to the puzzle or questions and answers shown in a table. Thank you for checking my resources.
NewMathWorld
MathDBase Desktop Math Reference

MathDBase Desktop Math Reference

Subjects: Algebra, Geometry, Trigonometry Grade Levels: 7th, 8th, 9th, 10th, 11th, 12th, Higher Education, Adult Education, Homeschool Resource Type: E-books A handy reference with useful math facts from Arithmetic, Algebra, Geometry and Trigonometry. Revised version with additional Binomial Expansion information. Note: Trying to download and open this e-book on a phone usually causes a problem...there is no password required.
MathDBase
Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2012"

Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2012"

A Further Maths "past paper" for Pure Core 1 on the new syllabus on Edexcel (2017). This is a "past paper" that takes questions from the June 2012 exam session, and adds in a few other questions from the textbook that are new to the syllabus this year. Great for preparing students for summer exams. All with solutions given.
samfletch18
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
Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2013"

Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2013"

A Further Maths "past paper" for Pure Core 1 on the new syllabus on Edexcel (2017). This is a "past paper" that takes questions from the June 2013 exam session, and adds in a few other questions from the textbook that are new to the syllabus this year. Great for preparing students for summer exams. All with solutions given.
samfletch18
Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2014"

Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2014"

A Further Maths "past paper" for Pure Core 1 on the new syllabus on Edexcel (2017). This is a "past paper" that takes questions from the June 2014 exam session, and adds in a few other questions from the textbook that are new to the syllabus this year. Great for preparing students for summer exams. All with solutions given.
samfletch18
Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2015"

Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2015"

A Further Maths "past paper" for Pure Core 1 on the new syllabus on Edexcel (2017). This is a "past paper" that takes questions from the June 2015 exam session, and adds in a few other questions from the textbook that are new to the syllabus this year. Great for preparing students for summer exams. All with solutions given.
samfletch18
Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2016"

Pure Core 1 (Further Maths - Edexcel) "Past Paper June 2016"

A Further Maths "past paper" for Pure Core 1 on the new syllabus on Edexcel (2017). This is a "past paper" that takes questions from the June 2016 exam session, and adds in a few other questions from the textbook that are new to the syllabus this year. Great for preparing students for summer exams. All with solutions given.
samfletch18
Complex numbers - polar form, calculations and geometrical applications

Complex numbers - polar form, calculations and geometrical applications

The first resource introduces the technique for writing a complex number z=a+bi in (trigonometric) polar form, r(cos (theta)+ i sin(theta)), there are few examples of converting from one form into the other (to do as a class), and then an exercise of 30 questions for students to do. The next section introduces the exponential polar form re^(i theta), a few examples of converting from one form into the other (to do as a class), and then an exercise of questions for students to do. The exercise includes questions that get students to consider what z* and -z look like in both polar forms, as well as investigating multiplying and dividing complex numbers in polar form. Answers to the exercises are included. The second resource begins with a reminder of how to multiply/divide complex numbers in polar form, followed by an exercise of questions to practise. The remaining 3 pages cover the geometrical effect of multiplying, with several examples for students to learn from. Fully worked solutions are included. The final resource focuses on examination-style questions that consider the geometric effect of multiplying by a complex number in polar form. Fully worked solutions are included.
langy74
Complex numbers

Complex numbers

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1, which is called an imaginary number because there is no real number that satisfies this equation. For the complex number a + bi, a is called the real part, and b is called the imaginary part. This lesson is suitable for the AS and A level pupils and is written in a pupil friendly manner in order to help the students easily master the topic and go on to solve all of the relevant questions with ease and confidence.
nouchinjohn