#### Investigation: Bezier Parametric Curves

A Mathematical Investigation Assessment Item for Mathematics Specialist (WA MAS Units 3&amp;4) looking at Bezier Parametric Equations and including Matrices. It consist of both a Take Home component and Validation Test.

#### AQA Further Pure 1 Jan 2013 Model Solutions

Model solutions for the AQA further maths Further Pure Jan 2013 paper with comments and notes. Great for peer marking after completing the paper to see what their answers should look like. Very clear and concise.

#### AQA Further Pure 1 Jan 2012 Model Solutions

Model solutions for the AQA further maths Further Pure 1 Jan 2012 paper with comments and notes. Great for peer marking after completing the paper to see what their answers should look like. Very clear and concise.

Feedback welcome

#### OCR MEI FP2 & S2 Full SOW + D1&S1 Revision

75% saving! Two resource packs that contain all the PowerPoints required to teach the full modules for FP2 and S2 for MEI OCR. Revision PowerPoints are also contained in these resource packs. I have also included D1 revision questions which can be used for the new maths A Level. I have also included Statistics revision worksheets which can be adapted for the new maths A Level.

#### MEI FP2 SOW

15 PowerPoints that covers every topic for MEI FP2. Revision PowerPoints are also included to revise Hyperbolics, Polar Coordinates and MacLaurin Series Attached also is a PowerPoint that goes through the June 2017 paper and also some very useful last minute revision questions ready for the upcoming FP2 exam on 25th June 2018.

#### FP3 Notes and Examples

You will receive a student booklet with gaps for the solutions to the examples to be filled in and a teacher’s booklet with detailed worked solutions.

#### FP1 Notes and Examples

You will receive a student booklet with gaps for the solutions to the examples to be filled in and a teacher’s booklet with detailed worked solutions.

#### Multiplying matrices

Powerpoint and worksheet for multiplying matrices. Aimed at year 10 looking to do AQA Level 2 Further maths in year 11 and being taught within transformations topic (wil use this to do matrix transformations) Powerpoint has brief explanations and chance for examples (there are many different methods I’ve seen for this, use the one you’re comfortable with) and questions building up from scalar x matrix, matrix x vector to matrix x matrix. Worksheet included is from the AQA resources for teaching the qualification. As its free I think I can include it here legally, if anyone disagrees I will remove it.

#### Edexcel Further Core Pure AS

These notes and examples contain everything you need to deliver the new Edexcel Further Core Pure AS content. There are 6 student booklets and 6 teacher booklets containing detailed solutions to all examples.

#### Edexcel Further Core Pure AS Topic 5: Proof by induction

These notes and examples are designed for the delivery of the new Edexcel A Level Further Maths Linear Specification. You will receive an editable Word document that can be issued to students with gaps for them to fill in the solutions to the examples and make further notes. Full solutions to the examples are provided for the teacher in the form of a PDF document. This could be made available to students if they miss a lesson, reducing teacher workload. Each topic is available as a separate purchase, or you can download the entire set covering all the the Core Pure AS content. To purchase the complete set of notes for the Core Pure AS content, click here: [https://www.tes.com/teaching-resource/edexcel-further-core-pure-as-11890483]

#### Edexcel Further Core Pure AS Topic 4: Matrices

These notes and examples are designed for the delivery of the new Edexcel A Level Further Maths Linear Specification. You will receive an editable Word document that can be issued to students with gaps for them to fill in the solutions to the examples and make further notes. Full solutions to the examples are provided for the teacher in the form of a PDF document. This could be made available to students if they miss a lesson, reducing teacher workload. Each topic is available as a separate purchase, or you can download the entire set covering all the the Core Pure AS content. To purchase the complete set of notes for the Core Pure AS content, click here: [https://www.tes.com/teaching-resource/edexcel-further-core-pure-as-11890483]

#### Basic Matrix Operations Color by Number

With this activity, students will simplify matrices with basic operations and then color the picture according to the specified entry and indicated color 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!

#### Matrix Multiplication Color by Number

With this activity, students will simplify matrices with multiplication and then color the picture according to the specified entry and indicated color 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!

#### Determinants of Matrices Color by Number

With this activity, students will evaluate the determinants of 2x2 and 3x3 matrices and then color the picture using their answers and the indicated color 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!

#### Inverse Matrices Color by Number

With this activity, students will find the inverse of the given matrices (if one exists) and then color the picture according to the given entry and indicated color 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!

#### Matrices - Basics

Lists introductory / basic properties of matrices. Useful as a topic overview / resource for secondary / high school course covering matrices. Designed for Queensland, Australia's senior secondary curriculum unit: General Mathematics - Matrices and matrix arithmetic. Document consists of definitions and examples relating to the following topics. - Matrices in general. - Square matrices, row and column vectors - Dimensions of a matrix - Matrix addition / subtraction / multiplication - The dot product / scalar product - The transpose of a matrix - Identity / zero matrices - Inverse matrices - Determinant of 2x2 and 3x3 matrices - Solving linear equations using inverse matrices - Matrix powers - General formulae for determinants

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

A Further Maths &quot;past paper&quot; for Pure Core 1 on the new syllabus on Edexcel (2017). This is a &quot;past paper&quot; 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.

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

A Further Maths &quot;past paper&quot; for Pure Core 1 on the new syllabus on Edexcel (2017). This is a &quot;past paper&quot; 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.

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

A Further Maths &quot;past paper&quot; for Pure Core 1 on the new syllabus on Edexcel (2017). This is a &quot;past paper&quot; 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.

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

A Further Maths &quot;past paper&quot; for Pure Core 1 on the new syllabus on Edexcel (2017). This is a &quot;past paper&quot; 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.

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

A Further Maths &quot;past paper&quot; for Pure Core 1 on the new syllabus on Edexcel (2017). This is a &quot;past paper&quot; 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.

#### FP4 Determinants of 3*3 Matrices

A sheet with 50 computer generated determinant questions. Coded in Python, typeset in LaTeX.

#### Matrix Transformations Dog

Transforming the dog is great as an enthusiastic starter to a lesson on Matrix Transformations. Alternatively give each student a copy of the file and let them investigate the different transformations. They will also learn about Excel. If you have cat lovers, see the separate resource. If you are teaching at Christmas or Easter, there is also a transformation Santa and Bunny! beats just using the unit square.

#### A ten page worksheet to introduce matrices

This worksheet covers the types of calculations that are possible with matrices and provides students with plenty of practice of each calculation. For each type of calculation there is an introduction, some examples to do as a class and then an exercise for students to work through. In total there are over 60 questions for students to complete, all answers to the exercises are provided. Note that this resource was designed specifically for the Level 2 Further Maths qualification, but can still be used an introduction to calculations with matrices.

#### Homeworks (Pure) - New AS Further Maths Syllabus

I have included 3 sections as a free sample which you be able to find towards the bottom of this page. Split into 15 sections 1. Complex Numbers 1 2. Complex Numbers 2 3. Conic Sections 4. Hyperbolic Functions 5. Maclaurin’s Series 6. Matrices 1 7. Matrices 2 8. Method of Differences 9. Polar Coordinates 10. Proof by Induction 11. Rational Functions 12. Roots of Polynomials 13. Summation Series 14. Vectors 15. Vol. of Rev. and Mean Value Each section has 4 documents 1. Homework 2. Full worked solutions for homework 3. Challenge Questions for gifted students 4. Full worked solutions for Challenge Questions • Includes both the PDF’s and word documents which are fully editable. • They are written for the AQA syllabus but can be adapted for other exam boards. • The homework’s are intentionally quite difficult and written in an exam style. • Each homework has ~50% of the answers provided, this is to allow students to check they’re getting the first few questions correct. You can remove this if you want. Note: As there is a lot of content here there may be a few typos, I’ll be sure to update any mistakes as soon as I’m aware of them. The questions and solutions should be close to 100% accurate though.

#### Homeworks (Pure) - New AS Further Maths Syllabus

These are 3 free sample sections from my Further Maths Homework collection. You should be able to find the full 15 sections at the bottom of the page.

#### Matrix Equations Match Up worksheet

Solving Matrix equations Match Up worksheet. (Or you could buy my Matrices bundle) Pupils must complete a number of questions to find the solutions on the worksheet. Three matrices will be unused and they can be added together to find a final solution. Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solution included.

#### Matrices Match Up Worksheets Bundle

Four Matrices Match Up worksheets. In each worksheet pupils must complete a number of questions to find the solutions on the worksheet. Three solutions will be unused and they can be added together to find a final solution. Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solutions included. 1. Adding and Subtracting 2. Multiplying 3. Calculating Determinants 4. Matrix Equations

#### Adding or Subtracting Matrices Worksheet

Adding or Subtracting Matrices Match Up worksheet. (Or you could buy my Matrices bundle) Pupils must complete 15 questions to find the solutions on the worksheet. Three matrices will be unused and they can be added together to find a final solution. Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solution included.

#### Calculating determinants Matrices Worksheet

Calculating determinants Matrices Match Up worksheet. (Alternatively you could buy my Matrices Bundle) Pupils must complete 15 questions to find the solutions on the worksheet. Three values will be unused and they can be added together to find a final solution. Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solution included.

#### Multiplying Matrices Match Up worksheet

Multiplying Matrices Match Up worksheet. Pupils must complete 15 questions to find the solutions on the worksheet. Three matrices will be unused and they can be added together to find a final solution. Can be used as practice or revision of the topic. Also if pupils get the final solution teachers can be happy the topic is understood without the need for marking. Solution included.

#### Transformation Matrices Summary

List of the Transformation Matrices for revision.

#### Matrix Transformations

Transforming the cat is great as an enthusiastic starter to a lesson on Matrix Transformations. Alternatively give each student a copy of the file and let them investigate the different transformations. They will also learn about Excel. If you have dog lovers, let me know and I'll set up the dog spreadsheet(dog only available for plotting coordinates at the moment). If you are teaching at Christmas or Easter, there is also a transformation Santa and Bunny! beats just using the unit square.

#### Solving 3 x 3 Equations; elimination & matrices summary sheet.

Summary sheet with a visual representation of the different plane positions and corresponding outcomes for solving by elimination or using matrices.

#### Proof by Induction Template

Great for revision, to reinforce good layout and the steps necessary to achieve full marks. Includes questions and answers for the four different types.

#### Further maths A level

Presentations that covers areas of the further maths A level units

#### Inverse of a 3 by 3 Matrix

This is an Excel Spreadsheet that will find the Inverse of a 3 by 3 matrix showing the determinant, Minor Matrices and Cofactors. Using the &quot;show formulas button&quot; will also show more of the process.

#### Gaussian elimination

A PowerPoint presentation leading through the process of Gaussian elimination. The first time, all the steps are show. The second example is the more succinct method.

#### The resource is a 'real-world' application of 2-by-2 determinants

This resource is for an introduction to matrix algebra, such as CIE's IGCSE Mathematics 0580. (E7 Matrices and transformations). The resource shows that a series of MS Paint transformations can be modeled as a matrix product. Students calculate the determinant of each matrix. The product is unity- the transformed shape has the same area as the original.

#### FP3 Chapter 6 - Further Matrix Algebra

Covers the Edexcel syllabus. Contains a number of exam questions.

#### Matrices FP1 Edexcel Powerpoint collection

This is a set of 4 powerpoints full of examples for matrices in Edexcel FP1