Transum Maths Software

Vectors

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Vectors. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

Main Page

Vectors Starters:

Red Lines: Either estimate the lengths of the red lines or, if you know how, calculate how long they are.

 

Small images of these Starters ::  Index of Starters


Vectors Advanced Starters:

Quad Midpoints: What shape is created when the midpoints of the sides of a quadrilateral are joined together?

Index of Advanced Starters


Suggested

Vector Maze

Vector Maze

Use vectors to navigate through a maze by the shortest distance.

The short web address is:

Transum.org/go/?to=vectormaze

 

Curriculum for Vectors:

Years 10 and 11

Pupils should be taught to describe translations as 2D vectors more...

Pupils should be taught to apply addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic and column representations of vectors; {use vectors to construct geometric arguments and proofs} more...

Years 12 and 13

Pupils should be taught to use vectors in two dimensions and in three dimensions more...

Pupils should be taught to calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form more...

Pupils should be taught to add vectors diagrammatically and perform the algebraic operations of vector addition and multiplication by scalars, and understand their geometrical interpretations more...

Pupils should be taught to understand and use position vectors; calculate the distance between two points represented by position vectors more...

Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

Feedback:

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Notes:

Vectors usually first make an appearance when pupils learn about transformations. A translation is best described with a vector written as a two by one matrix. Following that pupils learn how vectors can be used to prove geometric relationships in simple line diagrams. Ultimately vectors are studied as a major topic for A Level and International Baccalaureate courses where vectors in three dimensions are included.

You can think of a vector as what is needed to 'carry' the point A to the point B. The Latin word vector means ‘carrier’ and was first used by 18th century astronomers investigating planet rotation around the Sun.

Vectors Activities:

Vector Maze: Use vectors to navigate through a maze by the shortest distance.

Inertia Racetrack: A racing game for two players in which they use vectors to control the movement of their cars.

Vector Connectors: Exercises about vectors and coordinates; using one to find the other.

Vector Cops: Help the cops catch the robbers by finding the vectors that will end the chase.

Vectors: An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors.

Vectors - Magnitude and Direction: Calculate the magnitude and direction of a vector and convert between forms.

Parallel Vectors: Collect together in groups the vectors that are parallel to each other.

Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Vectors.

Vectors Videos:

Vectors video
Transum's Vectors Video


What are Vectors?: The one thing physicists, air traffic controllers, and video game creators all have in common! An animated Ted Ed talk by David Huynh.

Vector Connections Video: Learn how coordinates can be linked with vectors and how these vectors can help you decide if three points are collinear.

Vectors Video: Learn about addition and subtraction of vectors and multiplication of a vector by a scalar.

Vectors External Links:

Links to other websites containing resources for Vectors are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Suggested

Parallel Vectors

Parallel Vectors

Collect together in groups the vectors that are parallel to each other.

The short web address is:

Transum.org/go/?to=parallelvectors

 

Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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