Prior Content: Solving Simple Equations, Solving Quadratics, Factorising, Drawing & Using Graphs, Graphical Transformations
Possible Next Steps: Algebraic Proof, Functions, Manipulating Formulae/ Changing the Subject
Contents
- 1.1 Completing the Square when ‘a’ Equals 1
- 1.2 Completing the Square when ‘a’ Does not Equal 1
- 2.1 Solving Quadratics by Completing the Square
- 3.1 Completing the Square to Draw Quadratics
- 4.1 Completing the Square in Proofs
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Completing the Square when ‘a’ Equals 1
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Completing the Square (Up to 4:36)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Maths 4 Everyone
Worksheets
- Dr Austin Maths
- Completing the Square Practice Strips (Editable Word | PDF | Answers)
- Completing the Square Fill In The Blanks (Editable Word | PDF | Answers)
- Corbettmaths
- Completing the Square Practice Questions (Q1-3 & 5-6) & Solutions
- Completing the Square Worksheet (Q1 Only) & Solutions
- Maths 4 Everyone (Ignore Final Row)
Dr Frost Resources
Dr Frost Video
K580: Complete the Square for Quadratics of the Form x2+bx+c.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 580 Complete the Square for Quadratics of the Form x2+bx+c.
Formulae and Simplifying Expressions Key Skills Section (for selecting more than one)
Extension Materials
1.2 Completing the Square when ‘a’ Does not Equal 1
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Completing the Square 2
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Harder Completing the Square Fill In The Blanks (Editable Word | PDF | Answers)
- Corbettmaths
- Completing the Square Practice Questions (Q7) & Solutions
- Completing the Square Worksheet (Q3 Only) & Solutions
- Completing the Square (AQA Level 2) Practice Questions & Solutions
- Maths 4 Everyone (Final Row)
Dr Frost Resources
Dr Frost Video
K581: Complete the Square for Quadratics of the Form ax2+bx+c.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 581 Complete the Square for Quadratics of the Form ax2+bx+c.
- 582 Complete the Square for Quadratics of the Form ax2+bx+c, Where a is an Integer.
- K270c Complete the Square for Quadratics of the Form ax2+bx+c, Where b is Algebraic.
Formulae and Simplifying Expressions Key Skills Section (for selecting more than one)
Extension Materials
2.1 Solving Quadratics by Completing the Square
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Completing the Square (From 4:36)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Solving Quadratic Equations ppt (Slides 34 Onwards)
Worksheets
- Dr Austin Maths
- Solving Quadratics by Completing the Square Practice Strips (Editable Word | PDF | Answers)
- Solving Quadratics Using Different Methods Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Completing the Square Practice Questions (Q4) & Solutions
- Completing the Square Worksheet (Q2 & 4) & Solutions
- Solving Quadratics Using Completing the Square (AQA Level 2 Practice Questions & Solutions
- Pixi Maths
Dr Frost resources
Dr Frost Videos
Dr Frost Slides & Activities
- All in one summary sheet
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
Angles (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
Other Videos & Multimedia
Corbett Maths Deriving the Quadratic Formula
Worksheets
- Corbettmaths
- Quadratic Formula Proof Practice Questions
3.1 Completing the Square to Draw Quadratics
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Finding Turning Points Using Completing the Square
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Corbettmaths
- Completing the Square Practice Questions (Q8-9) & Solutions
- Completing the Square Worksheet (Q4 From Apply Section) & Solutions
Dr Frost resources
Dr Frost Video
K582: Find the Minimum Point of a Quadratic Graph.
K583: Find the Maximum Point of a Quadratic Graph.
K584: Find the Line of Symmetry of a Quadratic Graph.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 582 Find the Minimum Point of a Quadratic Graph.
- 583 Find the Maximum Point of a Quadratic Graph.
- 584 Find the Line of Symmetry of a Quadratic Graph.
- K271a: Find the minimum point of a quadratic graph when given in completed the square form.
- K271b: Find the maximum point of a quadratic graph when given in completed the square form.
- K271f: State quadratic given the maximum or minimum point.
- Combination of All
Curved Graphs Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.1 Completing the Square in Proofs
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Corbettmaths
- Completing the Square (AQA Level 2) Last 2 Qs Practice Questions & Solutions
Dr Frost resources
Dr Frost Videos
- Topic Video
- KS 66 Angles about a point.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 66 Angles about a point.
Angles (for selecting more than one)
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Completing the Square PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Worksheets
- Corbettmaths
- Completing the Square (AQA Level 2) Practice Questions & Solutions
- Maths 4 Everyone