#### Investigation: The Continuity Principle can surprise us.

A Mathematical Investigation Assessment Item for Yr 10 Ext. - Yr 11 Mathematics Specialists (in WA MAS Units 1&amp;2). Enjoy the surprise!

#### The Complex Number System

These notes and examples cover the US Common Core N-CN standards for complex numbers. The student booklet has spaces to fill in the solutions to the examples. The separate teacher booklet has detailed worked solutions. The student booklet is provided in both docx and pdf forms so that it can be edited to suit the needs of your class.

#### Eulers identity fun year 10 lesson

A fun end of term lesson I used with my top set year 10s (after they bugged me to teach them about complex numbers for eons). I wouldn’t necessarily suggest this for anyone other than very capable, extremely engaged mathematicians…

#### Operations with Complex Numbers Color by Number

With this activity, students will simplify complex number expressions and then color the picture according to the directions and color indicated to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Absolute Value of Complex Numbers Color by Number

With this activity, students will find the absolute value of complex numbers and then color the picture according to the color indicated to reveal a beautiful, colorful mandala! As an added bonus, the final products make fabulous classroom decor! This activity is an excellent resource for sub plans, enrichment/reinforcement, early finishers, and extra practice with some fun. It is especially useful for end-of-year practice, spiral review, and motivated practice when students are exhausted from standardized testing or mentally “checked out” before a long break (hello summer!). Teachers and students alike enjoy motivating activities, so engage your students today with these fun coloring activities!

#### Set Theory PowerPoint and Handouts

An extensive introduction to Set Theory, generally aimed at Computer Science A Level students, A Level Mathematicians or first year Undergraduate students in either Computer Science or Mathematics. It is intended to cover two lessons, extra examples and discussion may be required if aiming at a lower ability. Includes: A simple starter to encourage discussion on how to categorise numbers, as well as how many there may be e.g. how many natural numbers are there? A handout featuring all definitions given in the PowerPoint A PowerPoint covering set notation, intersections, unions, set comprehension and set compression. More resources can be added upon request. Please do give feedback/suggestions!

#### 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.

#### 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.

#### 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.*

#### PreCalculus Unit 2 Polynomial Power functions and rational functions Interactive Notebooks Only

This is a complete set of foldables for PreCalculus Unit 2 Quadratic and Rational Functions. Sets include: - Color-coded graphic organizers* - Black-line master graphic organizers - Color coded notes with examples. - Practice problems or activity such as puzzle or card sort, great for homework - Answer key for practice problems Topics include: - Vertex and standard form of quadratic functions - Graphing Quadratic Functions (NEW! Not yet available elsewhere in the store) - Zeros of Polynomial functions (NEW! Not yet available elsewhere in the store) - Polynomial Division Interactive Notebook including long and synthetic division - Complex numbers - Graphing rational functions

#### Complex Numbers Notes and Activities

Save with this set of 3 resources for using complex numbers including operations and graphing complex numbers.

#### Further Maths for Engineers

Powerpoints that cover the BTEC further maths for engineers unit

#### Trigonometry Polar and Rectangular Coordinates

Algebra 2/Trigonometry: 20 page Polar and Rectangular Coordinates includes brief notes, examples, and practice test (with detailed solutions).. Topics cover converting polar to rectangular; plotting polar coordinates; complex number system, and more; Also, imaginary numbers quiz, and 3 comics. Available at mathplane.org. (Or, download here and support mathplane and TES.). Thanks for visiting!

#### Algebra 2 Trigonometry Polar Coordinates

Algebra 2/Trigonometry: 20 page Polar and Rectangular Coordinates includes brief notes, examples, and practice test (with detailed solutions).. Topics cover converting polar to rectangular; plotting polar coordinates; complex number system, and more; Also, imaginary numbers quiz, and 3 comics. Available at mathplane.org. (Or, download here and support mathplane and TES.). Thanks for visiting!

#### Complex Numbers Defining Graphing and Operations for Interactive Notebooks

This comprehensive set of notes introduces students to complex numbers. Students use the color-coded guide to complete notes on complex numbers, graphing complex numbers and operations with complex numbers. Students practice operations with practice problems included in this resource. This resource includes: - Graphic organizer and notes for defining and graphing complex numbers and operations with complex numbers - Practice problems for operations with complex numbers - Color coded notes and blackline master - Answer key Algebra 2 and Precalculus 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 Review 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.

#### Euler's prime number Generator and 163

Presentation showing the solution of Euler's quadratic formula for generating primes and noting its irrational imaginary part of its complex solutions. When Euler's number, e is then taken to the power of pi*square root of 163 one mysteriously ends up with almost an integer-shown in wolfram. Link then to numberphile video that takes a different broader angle.

#### 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 .

#### Composite functions + complex numbers

The topics in this resource covers the requirements of the new GCSE Mathematics syllabus and provides an easy to follow explanation of the topics of composite functions and complex numbers. The resource is suitable for the higher GCSE pupils.

#### Advanced Higher Maths Complete Course Resource Bundle

Advanced Higher Maths Complete Course Resource Bundle

#### Conjugate root theorem, sum and product of polynomial roots

Power Point presentation, 12 slides, demonstrating that for a given polynomial that has a complex zero z, then its conjugate z* is also a zero of the polynomial, based on IB Higher level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OldENnRERSZ29PYU0/view?usp=sharing

#### Solving system of equations

Power Point presentation, 10 slides, Explaining how to solve system of equations with two or three unknowns, using the methods of substitutions, elimination and the Gaussian elimination Method, based on IB Higher level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlcW9QalZzSm9JX2s/view?usp=sharing

#### Complex numbers - PowerPoint

Complex numbers - introduction, imaginary number i, addition, subtraction, multiplication and division of complex numbers.

#### complex numbers solved problems

complex numbers solved problems for high schools students contain some good ideas

#### Past paper questions on Complex Numbers

Past paper questions on complex numbers with marking scheme of Cambridge A level Pure Maths 3 (9709)

#### Complex Numbers Selection

Complex Numbers Selection

#### Surds - GCSE Maths - Number (suitable for 9 - 1 specification)

Complete lessons covering all of the requirements within the Surds. Visit weteachmaths.co.uk for - Lessons and worksheets suitable for the 9 - 1 GCSE Specification - A-Level teaching resources for Core 1, Core 2, Core 3, Core 4, Decision 1 and Statistics 1 - Teaching resources for Level 3 Core Mathematics - Schemes of work for Higher and Foundation GCSE Maths (adapted for the 9 - 1 specification) - Topic tests for GCSE Maths and A-Level Maths - Support for the teaching and coursework in GCSE Statistics

#### Treasure Hunts for Matrices topic

This pack consists of two treasure hunts and two true/false trails relating to matrix arithmetic and transformations. There is a standard and more challenging version of each activity.

#### Circle and Trigonometric Apps formulae

This is a formula sheet to be handed out to students at the very beginning of their study of circles, sectors,arcs etc. Emphasise that only the Cosine Rule is a given formula (Edexcel).

#### FP3 - Hyperbolic Functions

A worksheet that covers hyperbolic functions - finding the value, solving equations involving hyperbolic functions, differentiation and integration of hyperbolic functions.

#### Describing Transformations with Matrices

Part of the AQAFurther Maths qualification but also suitable for Further Maths at A level (although probably not challenging enough) this resource just gets them used to creating a matrix from the transformation they have been given. Created using the geogebra chrome app

#### Hilbert's Grand Hotel

Enrichment lesson. Mr Hilbert and his wife own an unusual hotel: it has an infinite number of rooms! Every room is full, but then Mr Two turns up … I wrote these two worksheets for year 7’s, who loved it, but anyone up to Further Mathematicians would be excited by mathematician David Hilbert’s very accessible metaphor for countable infinity. Youtube clip (not mine) is a great introduction. Excel sheet is to record thinking. Using names Mr 1, Mr 2, ... and Miss 1, Miss 2,... for guests helps clarify thoughts. Wikipedia article gives explanation and answers if you've never met this before!

#### Graphing equations by plotting points - part 2

This video shows how to graph equations by plotting points. Part 2 of 2 http://www.mathispower4u.yolasite.com

#### Graphing equations by plotting points - part 1

This video shows how to graph equations by plotting points. Part 1 of 2 http://www.mathispower4u.yolasite.com

#### Compounded interest

http://mathispower4u.wordpress.com/

#### Perpendicular bisector of a segment on the coordinate plane

http://mathispower4u.wordpress.com/

#### The medians of a triangle

This video introduces the medians of a triangle and states the properties of the medians of a triangle. Complete Video List: http://mathispower4u.yolasite.com/

#### Examples: using the properties of the medians of a triangle to solve for unknown values

This video provided example problems of using the properties of the medians of a triangle to solve for unknown values. Complete Video List: http://mathispower4u.yolasite.com/

#### Introduction to the midsegments of a triangle

This video introduces midsegments of a triangle and states the properties of the midsegments of a triangle. Complete Video List: http://mathispower4u.yolasite.com/