# Advanced mechanics teaching resources: Vectors

Resources and ideas for mathematics, advanced mechanics, vectors, written by teachers to support teaching and learning

#### OCR MEI notes (C3, C4 and M1)

Summary of OCR MEI A level Mathematics units, C3, C4 and M1.

#### iGCSE bundle

A selection of my iGCSE resources at a discounted price

#### International Baccalaureate Standard Level bundle

All my published IB Standard Level resources including full revision package at a discounted price.

#### Vectors iGCSE

Everything required to teach the Vectors chapter in the iGCSE. Drawing vectors, finding magnitudes, calculating with vectors, vectors with bearings and solving problems with vectors.

#### Geometry: Vectors 1 - Magnitude (perfect for GCSE and IGCSE)

This is a lesson to teach magnitude in the topic of vectors. It is the first of a three part series to teach vectors and is available as a bundle at a reduced rate.The lesson comes with a starter, lesson objectives, key words, teaching slides, questions with answers and plenary.NOTE: Feel free to browse my shop for more excellent free and premium resources and as always please rate and feedback, thanks.

#### Geometry: Vectors 3 - Geometric Problems (Perfect for GCSE and IGCSE)

This is a lesson to teach using vectors in more complex geometric problems. It includes the use of midpoints and in particular the use of ratio in vectors. It is the LAST of a three part series to teach vectors and is available as a bundle at a reduced rate.The lesson comes with a starter, lesson objectives, key words, teaching slides, exam questions with answers and basic plenary.NOTE: Feel free to browse my shop for more excellent free and premium resources and if you do purchase then please rate and feedback as it is really helpful, thanks.

#### Geometry: Vectors 2 - Movement (perfect for GCSE and IGCSE)

This is a lesson to teach the basic of vectors in geometry. It is the second of a three part series to teach vectors and is available as a bundle at a reduced rate.The lesson comes with a starter, lesson objectives, key words, teaching slides, a worksheet with answers and a plenary.NOTE: Feel free to browse my shop for more excellent free and premium resources and if you do purchase then please rate and feedback as it is really helpful, thanks.

#### Vector-product-cross-product

This resource is suitable for 'A,' level students and provides a comprehensive explantion of the topic of 'Vector Cross Product.' In mathematics and vector algebra, the cross product or vector product (occasionally directed area product to emphasize the geometric significance) is a binary operation on two vectors in three-dimensional space (R3) and is denoted by the symbol ×. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b and therefore normal to the plane containing them.

#### Vector product (dot product)

This is a valuable resource for 'A,' level students. The lesson outlines, 'in three-dimensional space, the dot product contrasts with the cross product of two vectors, which produces a pseudovector as the result.' The dot product is directly related to the cosine of the angle between two vectors in Euclidean space of any number of dimensions

#### Mechanics 1 (Edexcel) Revision

Here is my power point trying to structure questions for M1 from past papers. I have split the paper into 6 sections and tried to group questions together. For use by giving to pupils and leaving them to it, or working through topics as a class. Every question from 2006-present. Also works extremely well on iPads.

#### Cycloid and Hypocycloid Application Task

Vector Calculus with cycloid and hypocycloid application task.

#### Vector Calculus and Kinematics Application Task.

Modelling the motion of the target on the computer screen using vector calculus and kinematics.

#### Vector Cross Product

The lesson is intended for 'A,' level students and is intended to assist the students with the understanding of the vector cross product. In mathematics and vector calculus, the cross product or vector product is a binary operation on two vectors in three-dimensional space (R3) and is denoted by the symbol ×. Given two linearly independent vectors a and b, the cross product, a × b, is a vector that is perpendicular to both a and b and therefore normal to the plane containing them. It has many applications in mathematics.

#### Scalar product of two vectors.

Power Point presentation, 10 slides, Explaining how to use the scalar product to determine whether two vectors are perpendicular, parallel or neither, and find the angle between two vectors, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlTlZVbnBHRWw2WDg/view?usp=sharing

#### Position vectors

Power Point presentation, 7 slides, Explaining how to identify position vectors, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlMzhMX253ZmdFeTg/view?usp=sharing

#### Addition and subtraction of vectors.

Power Point presentation, 8 slides, Explaining how to add and subtract vectors, represent graphically the addition and subtraction of vectors, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlY09kS1BIRnY4TkU/view?usp=sharing

#### Vector equation of the line

Power Point presentation, 7 slides, Explaining how to find the vector equation of a line passing through two points, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlbUJJTTgyOHppeHM/view?usp=sharing

#### Geometrical proofs.

Power Point presentation, 7 slides, Explaining how to use vector addition, subtraction and scalar multiples to deduce some geometrical results, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlcTRBb3hVY2ozV3c/view?usp=sharing

#### Distance between two points in the space

Power Point presentation, 4 slides, Explaining how to calculate the distance between two points in the space, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7Ola0hWd3BPMHhETEk/view?usp=sharing

#### Vectors, basic concepts

Power Point presentation, 14 slides, Explaining how to use the correct notation of vectors, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlbU9mRXR5cDJ6WHc/view?usp=sharing

#### Unit vectors.

Power Point presentation, 6 slides, Explaining how to identify unit vectors, based on IB Standard Level Syllabus. For a preview of the power point copy the following link on your browser: https://drive.google.com/file/d/0B8z00qLZV7OlNy1BVERqbGRlQnc/view?usp=sharing

#### Vectors GCSE

Four to five lessons worth of work on vectors. Tasks include: determining column vectors from drawn vectors, drawing vectors from column vectors, finding resultant vectors, vector arithmetic, determining the magnitude of vectors, solving vector equations, solving vector simultaneous equations and working with position vectors.

#### Vectors - International Baccalaureate standard level Mathematics. Whole vectors unit.

Over 100 slides to cover the entire Vectors section of the Standard Level Course. Easy to use resource with all questions, exercises and answers all included on the PowerPoint.

#### Vectors and Scalars

Designed for senior physics this presentation outlines the difference between vectors and scalars. The addition, subtraction and multiplication of vectors. Additionally the use of geometry to resolve components of vectors is also included with examples employed to test understanding.

#### Vectors and scalars

A lesson made for 6th form but I have used with year 10 and year 11 and it has worked well.The starter is a recap for my Y11s so is probably not relevant!***keep TES resources free!***

#### Vector Proof

Linked to the defining vectors activity, using the vectors defined in the image to prove standard results like ratios of line segments, whether points lie on straight lines, etc. For extra challenge take out the image with the pre-defined vectors and add the image from my vector definition activity so that pupils have to define the vectors before using them. Answers can be found on the prezi at link https://prezi.com/lenmenrpi1li/vector-proof/

#### C4 Vectors (A2 Maths)

Help your students problem solving in C4 vectors questions. Try out the step-by-step method it goes through. Getting an answer wrong gives immediate targeted feedback!

#### Introduction to M1 or C4 vectors LOOP

Simple starter activity: introduction to column vector notation, vector diagrams, modulus of a vector and angle vector makes with vertical or horizontal. My classes can use mini-whiteboards for working out. Takes about 10 minutes. Useful revision of SOHCAHTOA and Pythagoras too.

#### Defining vectors

Adapted from an image in Back to Back activities, 2 vectors are defined as a and b and the activity asks how many further vectors can be defined in terms of a and b. The image gives all of the other lines defined as vectors in terms of a and b.

#### Inspector Vector - Solve a crime using 2D and 3D vectors

A powerpoint-activity to learn and revise about vectors.There's been a robbery! Can you help Inspector Vector solve the crime by collecting clues? This is a fun activity for groups that includes:- adding and subtracting 2D and 3D vectors- finding the magnitude of 2D and 3D vectors- adding and subtracting vectors like a and b- some practice with surds for magnitude of vectors- visualizing vectors in 3D- using some logic to solve the crimeSolutions to each clue included in the Power Point notes.Takes a very good class about 1 hour 30 minutes.