Quadratics

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Next Section: Equations & Inequalities

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Dr Frost Video

• Whole Topic Video
• 372 Solve quadratics of the form x²+bx+c=0, solvable by factorisation. Key Skill Video (GCSE)

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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• Dr Frost Slides 1-9

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

• 372 Solve quadratics of the form x²+bx+c=0, solvable by factorisation.
• 375 Solve quadratics of the form ax²+bx+c=0, requiring rearrangement and factorising.
• 378 Solve a quadratic equation to get exact solutions.
• 379 Solve a quadratic equation to get numerical solutions.
• 380 Solve a quadratic equation using the formula or completing the square to give a numerical answer.
• 450 Solve an equation with fractions leading to a quadratic equation.
• Combination of all

Solving Equations GCSE Key Skills Section (for selecting more than one)

Practice Questions

• Practise Questions

Other Videos

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platforms (with Videos & Exercises)

• Khan Academy Solving Quadratics by Factoring
• Khan Academy The Quadratic Formula
• Khan Academy Strategizing to Solve Quadratic Equations

Activities

• Berwick Maths Diagnostic Questions
• Maths Genie Solving Quadratics by Factorising Practice
• Maths Genie The Quadratic Formula Practice

Worksheets

• Maths Genie Solving by Factorising Booklet & Solutions (GCSE)
• Maths Genie Solving with the Formula Booklet & Solutions (GCSE)
• Jethwa Maths Starter Activity (p7-8)
• The Chalk Face Solving Quadratics by Factorising
• The Chalk Face Quadratic Powers Problem
• Solomon C1 Algebra E Questions & Solutions (Q3 Only)
• Solomon C1 Algebra G Questions & Solutions (Q2 Only)
• kutasoftware Worksheets
  • by Taking Square Roots
  • by Factoring
  • with the Quadratic Formula
  • by Completing the Square

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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2C/D Slides (Courtesy of Owen134866)

Dr Frost Video

• 376 Complete the square for quadratics of the form x²+bx+c. Key Skill Video (GCSE)
• 377 Complete the square for quadratics of the form ax²+bx+c. Key Skill Video (GCSE)

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 10-16

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

• 579 Complete the square for quadratics of the form ax²+bx+c, where a is an integer.

Algebraic Techniques Key Skills Section (for selecting more than one)

• 376 Complete the square for quadratics of the form x²+bx+c.
• 377 Complete the square for quadratics of the form ax²+bx+c.
• Combination of all

Formulae and Simplifying Expressions GCSE Key Skills Section (for selecting more than one)

Other Videos

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Online Platforms (with Videos & Exercises)

• Khan Academy Completing the Square Intro
• Khan Academy More on Completing the Square

Activities

• Berwick Maths Diagnostic Questions
• Maths Genie Completing the Square Practice
• Underground Mathematics Quadratic Formula Proof Activity

Worksheets

• Maths Genie Completing the Square Booklet & Solutions (GCSE)
• Maths Genie Completing the Square Booklet & Solutions
• Jethwa Maths Starter Activity (p1-2)
• The Chalk Face Examples & Questions
• Solomon C1 Algebra F Questions & Solutions
• PMT OCR Set 1 Completing the Square PPQs & Solutions (Old Spec)
• SRWhitehouse Completing the square (TES Account Required)
• kutasoftware Worksheets
  • Completing the Square

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (Up to 8:06)

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2E Part 1 Slides (Courtesy of Owen134866)

Dr Frost Video

• Whole Topic Video (From 6:38 to 8:35)

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 17-23

Extra Questions

• Dr Frost Questions

Key Skills

• No Key Skills Yet (Specifically to Quadratics, but a few in the GCSE Functions Section)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Berwick Maths Diagnostic Questions
• Underground Mathematics Pick a Card 

Worksheets

• Jethwa Maths Starter Activity (p3-4)

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (From 8:06)

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2E Part 2 Slides (Courtesy of Owen134866)

Textbook Exercise

Q7-8

Dr Frost Video

• Whole Topic Video (Q5, 7 & 8)

Bicen Maths Live Lesson

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 22

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

• 577 Solve a hidden quadratic of the form xⁿ by substitution.
• 578 Solve a hidden quadratic of the form xⁿ by substitution, that requires multiplying through by x².
• 582 Solve a hidden quadratic involving exponentials (no log solutions). (To use as an extension)
• Combination of all

Algebraic Techniques Key Skills Section (for selecting more than one)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Worksheets

• Solomon C1 Algebra E Questions & Solutions (Q6 Only)
• PMT OCR Set 1 Hidden Quadratics PPQs & Solutions (Old Spec)

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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2F Slides (Courtesy of Owen134866)

Dr Frost Video

• Whole Topic Video (Up to 6:35)
• 202 Plot a quadratic graph. Key Skill Video (GCSE)

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 24-31

Topic Tests

• Standard Test (All Sections up to this Point)
• Standard Test (Quadratic Functions and their Graphs)
• Advanced Test (Quadratic Functions and their Graphs)

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 Determine the equation of a quadratic function from its graph.

Algebraic Techniques Key Skills Section (for selecting more than one)

• 420 Find the y-intercept of a quadratic graph.

Quadratic Graphs GCSE Key Skills Section (for selecting more than one)

• 202 Plot a quadratic graph.
• 418 Find the minimum point of a quadratic graph.
• 419 Find the maximum point of a quadratic graph.
• Combination of all

Curved Graphs GCSE Key Skills Section (for selecting more than one)

Practice Questions

• Practise Questions

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• PhET Drawing Quadratics Interactive Resource

• Berwick Maths Diagnostic Questions
• The Chalk Face Graphing Quadratics ppt
• Underground Mathematics Which quadratic
• Important Points on Quadratic Graphs Table Apologies I could not find the Author of this

Worksheets

• Jethwa Maths Starter Activity (p5-6) Some Discriminant Elements
• The Chalk Face Sketching Quadratics from Factorising Worksheet
• Solomon C1 Algebra E Questions & Solutions (Q5 Only)
• Don Steward Quadratic Points
• Susan Wall Quadratic Functions
• MEI Quadratics Two-Way Table
• Standards Unit Quadratics Card Sort
• PMT OCR MEI C1 Factorising & Sketching Quadratics 1 PPQs & MS
• PMT OCR MEI C1 Factorising & Sketching Quadratics 2 PPQs & MS
• PMT OCR MEI C1 Factorising & Sketching Quadratics 3 PPQs & MS
• kutasoftware Worksheets
  • Graphing Quadratic Functions

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Download Blank Notes

Download Slides

2G Slides (Courtesy of Owen134866)

Dr Frost Video

Whole Topic Video

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 32-39

Topic Tests

• Standard 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

• 770 Determine the Number Real Roots of a Quadratic Equation.

Graphs and Functions Key Skills Section (for selecting more than one)

Practice Questions

• Practise Questions

Other Videos

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Berwick Maths Diagnostic Questions
• Underground Mathematics Discriminating (& Teacher Notes)

Worksheets

• Maths Genie Booklet & Solutions (Contains Some Quadratic Inequalities)
• Jethwa Maths Starter Activity (p9-10)
• Solomon C1 Algebra G Questions & Solutions (Q4 Onwards)
• PMT OCR Set 1 Discriminant PPQs & Solutions (Old Spec)
• kutasoftware Worksheets
  • The Discriminant

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Download Blank Notes

Download Slides

2H Slides (Courtesy of Owen134866)

Dr Frost Video

• Whole Topic Video (From 8:35)

Bicen Maths Live Lesson

Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 40-42

Extra Questions

• Dr Frost Questions

Key Skills

No Key Skills Yet

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Berwick Maths Diagnostic Questions

Worksheets

• Mathsaurus Mixed Exam Board PPQs & Video Solutions

Whole Topic Videos

Bicen Maths Exam Questions

External Whole Topic Past Paper Style Questions

• Jethwa Maths Worksheet (p4-9 First 5 Qs Only)
• Dr Frost Topic Test (Teacher Log in Required)
• Mathsaurus Mixed Exam Board PPQs & Video Solutions
• Solomon C1 Algebra H Questions & Solutions
• Naiker Maths Exam Qs (2005-2011) & MS
• Naiker Maths Exam Qs (2012-2017) & MS
• PMT
  • Summary Quadratics PPQs
  • AQA Selected Quadratics PPQs (Old Spec)
  • Edexcel Set 1 Quadratics PPQs (Old Spec)
  • Edexcel Set 2 Quadratics PPQs (Old Spec)
  • Summary Cheat Sheet