Prior Content: Algebraic Proof, Transformations of Shapes, Pythagoras, Ratio & Basic Proportion (Including Conversions)
Possible Next Steps:
Contents
- 1.1 Vector Notation & Finding its Bearing & Magnitude
- 1.2 Parallel Vectors
- 1.3 The Addition Rule of Vectors
- 2.1 Using Ratios in Vectors
- 2.2 Constructing Proofs
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Vector Notation & Finding its Bearing & Magnitude
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Vectors (Up to 3:38)
Corbett Maths Column Vectors
Online Platforms (with Videos & Exercises)
- Khan Academy
- Intro to vectors: Videos & practice
- Magnitude of vectors: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Ben Sparks (GeoGebra)
- Vector Game: GeoGebra
- Transum
- Interactive Maths
- Vector Basics: Vectors & Scalars | Vector Notation | Magnitude
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Column Vectors Practice Questions & Solutions
- Column Vectors Worksheet & Solutions
- Pixi Maths
- Mathshelper (Jon Stone)
- MME
- Mr Morley Maths
- Vector Notation: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
K650: Find the Magnitude of a Vector Written in Column Vector Form.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 372a: Identify the vector associated with a movement.
- 372b: Identify the column vector from a given diagram.
- 372c: Draw a vector from a given column vector.
- 472a: Understand that a vector can be defined by its magnitude and direction, or its components. (not yet active)
- 472b: Calculate the magnitude of a 2D column vector.
- 472c: Determine the magnitude of a scalar multiple of a 2D column vector.
- 472d: Determine an unknown value in a 2D column vector given the magnitude.
- 472e: Determine the direction or bearing of a vector. (not yet active)
- 472f: Determine the components of a vector given its magnitude and direction. (not yet active)
- 472g: Determine the magnitude of the sum or difference of vectors given in component form. (not yet active)
- 472h: Determine the direction of the sum or difference of vectors given in component form. (not yet active)
- 372: Exam Practice: Column vector notation
- 472: Exam Practice: Converting a vector between component form and magnitude and direction form
Further Practice
- Practise Questions
Extension Materials
Other Videos
Worksheet
1.2 Parallel Vectors
Teaching Videos, Exercises & Activities
Tutorial Videos
Vectors How to determine parallel vectors by Irrational Mathematician
How to Find a Scalar when Two Vectors are Parallel by Cowan Academy
How to Prove Two Vectors are Parallel by The Complete Guide to Everything
Online Platforms (with Videos & Exercises)
- Khan Academy
- Scalar multiplication of vectors: Videos & practice
Activities & Resources
- Transum
- Interactive Maths
- Scalar Multiplication: Video
- BossMaths
Worksheets
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 474a: Determine if two vectors are parallel.
- 474b: Determine an unknown constant in a vector that is parallel to another.
- 474c: Determine the ratio of two vectors that are parallel to each other.
- 474: Exam Practice: Parallel vectors and straight line proofs using vectors
Further Practice
- Practise Questions
Extension Materials
Worksheet
1.3 The Addition Rule of Vectors
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Vectors (From 3:38 to 11:55)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Adding & subtracting vectors: Videos & practice
Activities & Resources
- Poxi Maths
- Andy Lutwyche
- PhET Interactive Simulations
- PhET Vector Addition: Equations Interactive Simulation (embedded below)
- Transum
- Interactive Maths
- Resultant Vectors: Resultant Vectors | Column Vectors
- Go Teach Maths
- BossMaths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Vectors Practice Questions (Q1-2) & Solutions
- Pixi Maths
- Physics & Maths Tutor
- Pret Homework (@missaneill)
- Vectors (@missaneill, pptx)
Dr Frost Resources
Dr Frost Video
K649: Add or Subtract Two Vectors Written in Column Vector Form.
K651: Appreciate Scalar Multiplication of Vectors.
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 373a: Multiply a column vector by a positive scalar.
- 373b: Draw a positive scalar multiple of a vector.
- 373c: Multiply a column vector by a negative scalar.
- 373d: Draw a negative scalar multiple of a vector.
- 373e: Add or subtract vectors written in column vector form.
- 373f: Draw the addition or subtraction of column vectors.
- 373g: Add or subtract scalar multiples of vectors.
- 373h: Solve equations formed in vector notation.
- 373i: Solve linear simultaneous equations/systems of equations formed with vector notation.
- 373j: Solve problems involving vectors where the points form a given shape.
- 473a: Determine a vector between two points using an appropriate path.
- 373: Exam Practice: Adding, subtracting and scaling column vectors
- 473: Exam Practice: Vectors using variables
Further Practice
- Practise Questions
Extension Materials
Videos & Other Multimedia
Worksheet
2.1 Using Ratios in Vectors
Teaching Videos, Exercises & Activities
Tutorial Videos
Ratios in Vectors by Jacob Sichamba Online Math
Vectors Tutorial (4/4) – Midpoints and ratios by Owen
Vectors – Finding Ratios (IGCSE Exam Question) by NT Maths
Online Platforms (with Videos & Exercises)
Activities & Resources
- Andy Lutwyche
- Don Steward
- Goal Free Problems
Worksheets
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 473b: Determine a vector involving a midpoint.
- 473c: Determine a vector involving a fraction of the distance between two points.
- 473d: Determine a vector involving half of a subroute.
- 473e: Determine a vector involving a fraction of a subroute.
- 473f: Determine a vector when one vector is extended out by a ratio.
- 475a: Determine a vector by equating coefficients for two different scalars/routes.
- 475b: Determine a ratio by writing a vector using two different scalars/routes.
- 475c: Determine a ratio of vectors by extending out a vector.
- 473: Exam Practice: Vectors using variables
- 475: Exam Practice: Solving vector problems by introduction of a scalar
Further Practice
- Practise Questions
Extension Materials
Worksheet
2.2 Constructing Proofs
Teaching Videos, Exercises & Activities
Tutorial Videos
Harder Vector Questions 1 by Maths Genie
02 Show Points Form Collinear Vectors – EDEXCEL – GCSE by Anil Kumar
Vector Proofs Without Diagrams (New Style 2023!) by The GCSE Maths Tutor
Corbett Maths Vectors (From 11:55)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Don Steward
- Go Teach Maths
- BossMaths
- Peter Mattock
Worksheets
- Dr Austin Maths
- Corbettmaths
- Vectors Practice Questions & Solutions
- Maths Genie
- Vectors Proof Questions: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Vector Proof Questions: Worksheet
- Physics & Maths Tutor
- MadAsMaths (T. Madas)
- Vectors Practice Part A Vector Algebra & Geometry Q1 (difficulty 2 of 5)
- Mr Morley Maths
- Vector Proof: Notes jotter/worksheet · Exam questions · Mark scheme
Dr Frost Resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Topic Tests
- Standard Test
- Advanced Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 473g: Prove that points form a parallelogram or rectangle using vector variables. (not yet active)
- 474d: Prove that two vectors in a diagram are parallel.
- 474e: Prove that points form a trapezium using vector variables.
- 474f: Prove that three points are collinear using vector variables.
- 474g: Prove that three points are collinear using column vectors.
- 473: Exam Practice: Vectors using variables
- 474: Exam Practice: Parallel vectors and straight line proofs using vectors
Further Practice
- Practise Questions
Extension Materials
Worksheet
Whole Topic Summary Resources (Including Past Paper Questions)
Download Vectors PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Vectors as PowerPoint or PDF
Worksheets
- Maths 4 Everyone
- MathedUp
- Vectors: Worksheet · Practice · Quiz · Question Gallery
- Vectors & Proof: Worksheet · Practice · Question Gallery
- Maths Genie
- Vectors: Booklet · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Access Maths
- MME
- THarman
- Dr Frost
- 1st Class Maths
- teachingmaths.net
- Vectors exam questions✦ (original by teachingmaths.net; original teachingmaths.net site no longer online; copy hosted on Jo Morgan’s Drive)
Activities
- NRICH (student problems)
- Don Steward
- Jumping
- Vectors
- Vectors resources (folder)✦ (original by Don Steward; copy hosted on Jo Morgan’s Drive)
- MathsPad
- Dan Walker
- Peter Mattock
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Vectors
- NCETM
- AQA (All About Maths)
- Bridging the Gap Pocket 9: Vectors (AQA KS3-4 Bridging the Gap)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.