#### 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.

#### OCR FP1 Complex Number Practise

This is a collection of revision questions for OCR FP1 adapted from AQA papers FP1 and FP2. It covers mainly solving equations and loci as these are the sections my students tend to struggle on.

#### Method for Multiplying Complex Numbers

This is a worksheet for students to practice using the box method for multiplying complex numbers. It includes a clear example at the top as well as three exercises with blank boxes already provided for students to fill.

#### 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

#### Perform linear regression using matrices

This video explains how to use matrices to perform least squares linear regression. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

#### Ex: average rate of change application - hot air balloon function

This video explains how to find the average rate of change given the equation of a function rule that models the height of an air balloon as it rises. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

#### Maths Keynote and Powerpoint Presentations

You can access FREE math PRESENTATIONS and WORKSHEETS for your lesson. You can even edit your presentation that would suit your teaching style. numberbender will be your teacher assistant online. www.numberbender.com is mobile device ready. You can easily view all the math lessons using your smartphones and mobile tablets. You can use numberbender to catch up on the math lessons that you missed in class. Plus there are VIDEO TUTORIALS that will help you review on your math test the next day.

#### Introduction to matrices

What a matrix is. How to add and subtract them.

#### Matrix multiplication (part 1)

Multiplying two 2x2 matrices.

#### Inverting Matrices (part 3)

Using Gauss-Jordan elimination to invert a 3x3 matrix.

#### Inverting matrices (part 2)

Inverting a 3x3 matrix

#### Matrix multiplication (part 2)

More on multiplying matrices.

#### Inverse Matrix (part 1)

Taking the inverse of a 2x2 matrix

#### Matrices to solve a system of equations

Using the inverse of a matrix to solve a system of equations.

#### Matrices to solve a vector combination problem

Using matrices to figure out if some combination of 2 vectors can create a 3rd vector

#### Singular Matrices

When and why you can't invert a matrix.

#### Matrices: Reduced Row Echelon Form 1

Solving a system of linear equations by putting an augmented matrix into reduced row echelon form

#### Matrices: Reduced Row Echelon Form 3

And another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form

#### Matrices: Reduced Row Echelon Form 2

Another example of solving a system of linear equations by putting an augmented matrix into reduced row echelon form

#### Null Space 2: Calculating the null space of a matrix

Calculating the null space of a matrix

#### Matrix Vector Products

Defining and understanding what it means to take the product of a matrix and a vector

#### Column Space of a Matrix

Introduction to the column space of a matrix

#### Introduction to the Null Space of a Matrix

Showing that the Null Space of a Matrix is a valid Subspace

#### Null Space 3: Relation to Linear Independence

Understanding how the null space of a matrix relates to the linear independence of its column vectors

#### Dimension of the Column Space or Rank

Dimension of the Column Space or Rank

#### Showing relation between basis cols and pivot cols

Showing that linear independence of pivot columns implies linear independence of the corresponding columns in the original equation

#### Visualizing a Column Space as a Plane in R3

Determining the planar equation for a column space in R3

#### Proof: Any subspace basis has same number of elements

Proof: Any subspace basis has same number of elements

#### Null Space and Column Space Basis

Figuring out the null space and a basis of a column space for a matrix

#### Dimension of the Null Space or Nullity

Dimension of the Null Space or Nullity

#### Showing that the candidate basis does span C(A)

Showing that just the columns of A associated with the pivot columns of rref(A) do indeed span C(A).

#### Matrix Vector Products as Linear Transformations

Matrix Vector Products as Linear Transformations

#### Sums and Scalar Multiples of Linear Transformations

Sums and Scalar Multiples of Linear Transformations. Definitions of matrix addition and scalar multiplication.

#### More on Matrix Addition and Scalar Multiplication

More on Matrix Addition and Scalar Multiplication

#### Expressing a Projection on to a line as a Matrix Vector prod

Expressing a Projection on to a line as a Matrix Vector prod

#### Matrix Product Associativity

Showing that matrix products are associative

#### Linear Algebra: Matrix Product Examples

Example of taking the product of two matrices

#### Distributive Property of Matrix Products

Showing that matrix products exhibit the distributive property

#### Linear Algebra: Matrix condition for one-to-one trans

Showing that the rank of the of an mxn transformation matrix has to be an for the transformation to be one-to-one (injective)

#### Linear Algebra: Simplifying conditions for invertibility

Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix

#### Interactive Programs.Visual display of ideas.KS3.

The material presented in the following pages are for KS3, GSCE and ALevel students. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas. Topics iclude gemoetry, trigonometry and revision. The games and animations can be used for the interactive whiteboard. New address: http://www.ies-math.com/math/java/