# Advanced pure teaching resources: Matrices

Resources and ideas for mathematics, advanced pure, matrices, written by teachers to support teaching and learning

#### Algebra: Matrices Bundle (5 lesson series) - ideal for IGCSE and A-Level

Lesson 1: adding and subtracting, what are matrices etc... Lesson 2: Multiplying, mainly 2x2, when you can and cannot multiply Lesson 3: zero and identity matrix and the determinant Lesson 4: Inverse matrices intro - using the formula Lesson 5: Inverse matrices further - simultaneous equations All lessons come with starters, plenary, questions with answers, learning objectives, key words and excellent teaching slides. NOTE: Feel free to browse my shop for more excellent free and premium resources. thanks.

#### Matrices FP1 Edexcel Powerpoint collection

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

#### The 3 by 3 Matrix

This lesson introduces the students to the 3 x 3 matrix. Students learn how to calculate the determinant, the adjugate and hence the inverse of a 3 x 3 matrix.

#### Practice Examination Questions

Statistics 1 Further Pure 1

#### AQA Further Maths Level 2: Need to Know booklet

Comprehensive 27-page booklet containing notes and examples designed to cover all the course content of the AQA Further Maths Level 2 syllabus. This qualification is an effective bridge between GCSE and A-level, and as such much of the content overlaps with both A/A* GCSE and AS Mathematics content. An ideal companion to those studying this course, similar Additional Maths courses, or just wanting to become familiar with some of the more advanced mathematics they will encounter in more detail when they begin A-level Maths.

#### Inverse Matrices - Circuit Training

Inverse Matrices - Circuit TrainingFind, where possible, the inverses of the following matrices.Work out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit.There are 12 problems in this product.All answers are included.My students love doing these activities.Thank you for checking my resources.

#### Matrix Multiplication - Circuit Training

Matrix Multiplication - Circuit TrainingWork out the problem in the cell #1. To advance in the circuit, find your answer and mark that cell #2. Work out that problem and then find your answer again. Continue working in this manner until you complete the circuit.There are 16 problems in this product.All answers are included.My students love doing these activities.Thank you for checking my resources.

#### Matrices - Addition, Subtraction and Multiplying and transformations

This pack of resources is aimed as an introduction to matrices it covers adding, subtracting and multiplying matrices and looks at their order. It also investigates matrices transformation in 2D by getting students to plot the result of matrix multiplication. Also included is a matching activity to support adding, subtracting and multiplying matrices and 2 jigsaws that focus on transformations and combined transformationsSMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### Matrices - Inverse, Planes, areas, volume, linear dependency and eigenvectors

This resource pack contains a wide range of matrix work. It contains,How to find the inverses of 2x2 and 3x3 matricesEquations of lines and planesArea of triangles and parallelogramsVolumes of Parallelepipeds, pyramids and prismsScalar and Vector ProductsLinear IndependenceIntersection of 2 planes and the angle between themIntersection of 3 planes including a jigsaw activityEigenvectors and Eigenvalues including invariant lines and pointsSMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

#### Matrix-Inversion

This resource will be very useful for the 'A,' level students. The step by step and easy to follow instructions will enable the students to invert a 3 x 3 matrix with ease and confidence.

#### Transformations with Matrices: Using the unit square

This lesson consists of a series of examples which demonstrate how a unit square can be used to determine which transformation a given 2x2 matrix represents. Also the unit square can be used to create a 2x2 matrix. The lesson concludes with a set of questions for the students to answer. I tend to use this lesson when teaching the Further Mathematics GCSE.

#### Matrices (AQA FP1)

A 'Teach Further Maths' Resource64 slidesTo understand simple matrix terminology e.g. ‘matrix’, ‘order’.To be able add, subtract and multiply compatible matrices.To be able to ascertain whether or not matrix multiplication is commutative/associative.To know and use the properties of ‘square’, ‘identity’ and ‘zero’ matrices.

#### C4 vectors mark scheme

**All questions are completely new and have not been previously published, therefore students will not be able to have access to mark schemes or have seen them before.**A C4 worksheet mark scheme with examination style questions on the topic Vectors. Each question has the value of marks it is worth on the right hand side. The worksheet can be used as homework, in-class or even an assessment.

#### C4 mark scheme bundle

This bundle includes all of the C4 worksheet mark schemes, if you purchase all of the mark schemes together they will be discounted by 50%.

#### Algebra: Matrices 3 - zero, identity matrix and the determinant (intro to inverse)

This lesson is a part of 5 part series that I teach on matrices, that is available as a bundle at a reduced price. Lesson One: adding and subtracting, what are matrices etc...Lesson Two: Multiplying, mainly 2x2, when you can and cannot multiplyLesson Three: zero and identity matrix and the determinantLesson Four: Inverse matrices intro - using the formulaLesson Five: Inverse matrices further - simultaneous equationsThis is a teaching PowerPoint (lesson 3) to go through different what the zero and identity matrix is and to introduce the determinant and what it is... in order to build the foundation to do inverse matrices. This lesson has a starter, examples, key words, questions, answers and plenary etc... NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Algebra: Matrices 2 - Multiplying matrices (2 x 2 matrix) - ideal for IGCSE and A-Level

This is the second of a five part series that I teach on matrices. It is available as a bundle at a slightly reduced price. Lesson One: adding and subtracting, what are matrices etc...Lesson Two: Multiplying, mainly 2x2, when you can and cannot multiplyLesson Three: zero and identity matrix and the determinantLesson Four: Inverse matrices intro - using the formulaLesson Five: Inverse matrices further - simultaneous equationsThis lesson look at how and why to multiply matrices. Looking at mainly 2 x 2 matrices, but does contain a few other examples/question on non square matrices. The PPT contains a starter, various examples, lesson objectives, key words, questions, answers and plenary. I have found this resource to help me structure the lesson effectively, keep the flow and successful in helping pupils progress and get a good foundation for future lessons on matrices. NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Algebra: Matrices 4 - inverse matrices intro (using the formula) ideal for IGCSE & A-Level

This lesson is the last of a five lesson series that I teach on matrices, which is available as a bundle at a reduced price. Lesson One: adding and subtracting, what are matrices etc...Lesson Two: Multiplying, mainly 2x2, when you can and cannot multiplyLesson Three: zero and identity matrix and the determinantLesson Four: Inverse matrices intro - using the formulaLesson Five: Inverse matrices further - simultaneous equationsThis is a whole lesson to go through inverse matrices. It introduces and clearly explains how to use the formula to find the inverse as well as looking at the concept of inverse in mathematics. The PowerPoint is a structured whole lesson with questions and answers, examples, starter, plenary, learning objectives etc... NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Algebra: Matrices 5 - further Inverse Matrices (perfect for IGCSE and A-Level)

This lesson is the last of a five lesson series that I teach on matrices, which is available as a bundle at a reduced price. Lesson One: adding and subtracting, what are matrices etc...Lesson Two: Multiplying, mainly 2x2, when you can and cannot multiplyLesson Three: zero and identity matrix and the determinantLesson Four: Inverse matricesLesson Five: Inverse matrices 2This lesson looks at using the method of using simultaneous equations. This is the second lesson on inverse matrices, where the first lesson concentrates on solving using the formula. This contains a whole lesson, with examples, questions with answers, starters, plenary, lesson objectives etc... NOTE: Feel free to browse my shop for more excellent free and premium resources, thanks.

#### Introduction to Matrices

Power point lesson with worked examples demonstrates to students how we add/subtract matrices. How to multiply matrices together and then several questions for the students to answer.The lesson is aimed at those students covering the Further Maths GCSE

#### Transformations and Matrices

This Power point demonstrates to students that several 2 x 2 matrices can be used to complete certain transformations. Following from the examples there are several questions that the students can attempt.

#### Algebra: Matrices 1 - adding and subtracting matrices plus scalars - ideal for IGCSE and A-Level

This is part of a series of five lessons that I teach on matrices. It is available as a bundle at a slightly reduced price. Lesson One: adding and subtracting matrices, also a look at what are matrices etc...Lesson Two: Multiplying, mainly 2x2, when you can and cannot multiplyLesson Three: zero and identity matrix and the determinantLesson Four: Inverse matrices intro - using the formulaLesson Five: Inverse matrices further - simultaneous equationsThis PowerPoint contains a whole lesson introducing the topic of matrices, specifically what matrices are, order of matrices and how to put data in matrix form. Then starting to look at some basics, such as how to add and subtract matrices. It also looks at how a scalar is used, and goes through examples of questions like 3a + b.The PPT contains a starter, various examples, lesson objectives, key words, questions, answers and plenary. I have found this resource to help me structure the lesson effectively, keep the flow and successful in helping pupils progress and get a good foundation for future lessons on matrices. NOTE: Feel free to browse my shop for more excellent free and premium resources, and as always please rate and feedback, thanks.

#### Applications of matrices.

Matrices and simultaneous equations exploration.Transition matrices and Markov chains.

#### trigonometry and matrices

test on trigonometry and matrices

#### FP3 Matrices Notes (Full Edexcel Spec)

This is a set of revision notes for Matrices in Edexcel's FP3 spec. It contains a complete overview of the different processes needed for manipulating matrices (including, but not limited to, the inverse of a matrix, diagnosing a matrix and transformations).These are very brief bullet pointed notes which give an idea as to how to tackle the question. Any processes are clearly set out.

#### Inverse Matrices and Determinants (AQA FP4)

A 'Teach Further Maths' Resource54 SlidesTo understand what is meant by the ‘inverse’ of a matrix.To understand what is meant by the ‘determinant’ of a matrix.To be able to find the determinant of a 2x2 or 3x3 matrix.To be able to find the inverse of a 2x2 or 3x3 matrix.To be able to consider determinants of 2x2 matrices and 3x3 matrices geometrically.

#### Matrices and Linear Transformations (AQA FP4)

A Teach Further Maths' Resource73 SlidesTo understand what is meant by a ‘transformation’.To understand what is meant by a ‘linear transformation’.To be able to show that a given transformation is linear.To understand what is meant by an ‘inverse transformation’.To be able to find the inverse of a given linear transformation.To be able to find matrices that represent given linear transformations.To be able to find matrices that represent composite linear transformations.To understand what is meant by ‘invariant points’ and ‘invariant lines’.To be able to find invariant points/lines for a given transformation matrix.To be able to find matrices representing inverse linear transformations.To be able to find matrices representing inverse of composite linear transformations.To understand how to find the transpose of a matrix.

#### Matrix Solution of Simultaneous Equations (AQA FP4)

A 'Teach Further Maths' Resource24 SlidesTo be able to solve linear simultaneous equations by finding the inverse of a matrix.To appreciate that the determinant can be used to determine the existence (or not) of a unique solution for a system of linear simultaneous equations.

#### Diagonalisation of a Matrix (AQA FP4)

A 'Teach Further Maths' Resource40 SlidesTo understand what is meant by ‘diagonal matrices’ and ‘symmetric matrices’.To understand what is meant by ‘diagonalising’ a matrix.To be able to deduce diagonalisability for simple 2x2 and 3x3 matrices.To be able to diagonalise a given symmetric matrix.To apply the method of diagonalisation to evaluate the power of a given symmetric matrix.

#### Eigenvalues and Eigenvectors (AQA FP4)

A 'Teach Further Maths' Resource54 SlidesTo understand what is meant by ‘eigenvalues’ and ‘eigenvectors’.To understand how to find the ‘characteristic equation’.To be able to find eigenvalues and eigenvectors for given 2x2 and 3x3 matrices.Understand what is meant by the terms ‘normalised eigenvectors’, ‘orthogonal eigenvectors’ and ‘orthogonal matrices’.To be able to show that a given matrix is orthogonal.

#### Composite Geometric Transformations Using Matrices (AQA FP1)

A 'Teach Further Maths' Resource28 SlidesTo recall the rules of simple transformations.To be able to find matrices representing simple composite transformations.To know that composite transformation matrices are pre-multiplied.To be able to describe simple composite transformations represented by some matrices.