Prior Content: GCSE/IGCSE Simultaneous Equations, GCSE/IGCSE Linear Inequalities, GCSE/IGCSE Quadratic Inequalities
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Contents
- Whole Topic Notes
- 3A Linear Simultaneous Equations
- 3B Non-Linear Simultaneous Equations
- 3C Simultaneous Equations Graphically (Including Using the Discriminant)
- 3D Linear Inequalities
- 3E Quadratic Inequalities
- 3F Interpreting Graphical Non-Linear Inequalities
- 3G Shading Inequality Regions
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Equations & Inequalities Section
- Dr Frost Equations & Inequalities Slides
- Blank Notes to Follow Slides Word Doc & PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
3A Linear Simultaneous Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- 283 Solve simultaneous equations where one unknown has equal positive coefficients. Key Skill Video (GCSE)
- 284 Solve simultaneous equations where one unknown has equal coefficients with different signs. Key Skill Video (GCSE)
- 285 Solve simultaneous equations with unequal coefficients where the unknowns have the same signs. Key Skill Video (GCSE)
- 286 Solve simultaneous equations with unequal coefficients where the second unknowns have different signs. Key Skill Video (GCSE)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (Up to 10:11)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra 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 Solve simultaneous linear equations requiring rearrangement.
Algebraic Techniques Key Skills Section (for selecting more than one)
- 283 Solve simultaneous equations where one unknown has equal positive coefficients.
- 284 Solve simultaneous equations where one unknown has equal coefficients with different signs.
- 285 Solve simultaneous equations with unequal coefficients where the unknowns have the same signs.
- 286 Solve simultaneous equations with unequal coefficients where the second unknowns have different signs.
- 287 Appreciate that the solution to two linear simultaneous equations gives a point of intersection.
- 288 Form and solve simultaneous equations from written information.
- Combination of all
Simultaneous Equations GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Systems of Equations
Activities
- Berwick Maths Diagnostic Questions
- Maths Genie Solving Simultaneous Equations Practice
- The Chalk Face Simultaneous Equations Problem
Worksheets
- Maths Genie Solving Simultaneous Equations Booklet & Solutions (GCSE)
- Jethwa Maths Starter Activities (p1-2)
- Solomon C1 Algebra I Questions & Solutions (Q1 Only)
- SRWhitehouse Simultaneous Equations (TES Account Required)
- kutasoftware Worksheets
3B Non-Linear Simultaneous Equations
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (From 10:11)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 584 Solve simultaneous equations in the form ax+by=c and x2+y2=d.
Algebraic Techniques Key Skills Section (for selecting more than one)
- 469 Solve non-linear simultaneous equations where y is the subject of both equations.
- 470 Solve non-linear simultaneous equations with one equation in the form x2+y2=a.
- 471 Solve non-linear simultaneous equations.
- Combination of all
Simultaneous Equations GCSE Key Skills Section (for selecting more than one)
Practice Questions
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Maths Genie Quadratic Simultaneous Equations Booklet & Solutions (GCSE)
- Jethwa Maths Starter Activities (p7-8)
- Solomon C1 Algebra I Questions & Solutions (Q2 Onwards)
- SRWhitehouse Simultaneous Equations (TES Account Required)
- Don Steward Quadratic Meets Linear
3C Simultaneous Equations Graphically (Including Using the Discriminant)
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
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
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 282 Solve simultaneous equations using graphical methods.
Simultaneous Equations GCSE Key Skills Section (for selecting more than one)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheet
- Jethwa Maths Starter Activities (p3-4) Q2
3D Linear Inequalities
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (Up to 1:33)
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
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 252 Represent an inequality on a number line.
- 253 Interpret an inequality represented on a number line.
- 254 Solve a linear inequality.
- 506 Solve a linear inequality with the unknown on both sides.
- 507 Solve a two-ended inequality with a single step.
- 508 Solve a two-ended inequality with two steps.
- Combination of all
Inequalities GCSE Key Skills Section (for selecting more than one)
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Multi-Step Inequalities: Solving Equations & Inequalities
- Khan Academy Compound Inequalities Follow with Quiz 3
Activities
Worksheets
- Maths Genie Linear Inequalities Booklet & Solutions (GCSE)
- The Chalk Face Multiple Linear Inequalities
- Solomon C1 Algebra J Questions & Solutions (Q1-2 Only)
- kutasoftware Worksheets
3E Quadratic Inequalities
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 1:33 to 12:40)
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
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 466 Solve quadratic inequalities of the form x2+bx+c>0.
- 467 Solve quadratic inequalities of the form ax2+bx+c>0 requiring rearrangement.
- Combination of all
Inequalities GCSE Key Skills Section (for selecting more than one)
Practice Questions
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Maths Genie Quadratic Inequalities Booklet & Solutions (GCSE)
- Jethwa Maths Starter Activities (p3-4) Q1
- Solomon C1 Algebra J Questions & Solutions (Q3 Onwards)
- Solomon C1 Algebra K Questions & Solutions
- mssteelmaths.com Quadratic inequalities
- Jo Morgan Quadratic Inequalities – Spot the Mistake (TES Account Required)
- Underground Mathematics Inequalities for Some Occasions
3F Interpreting Graphical Non-Linear Inequalities
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 12:40)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (Up to 3:56)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- No Dr Frost Questions
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- amwgauss Inequalities on Graphs (TES Account Required)
- Underground Mathematics Inequality Sets
3G Shading Inequality Regions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (From 3:56)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- No Dr Frost Questions
Key Skills
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- kutasoftware Worksheets
Whole Topic Summary Resources (Including Past Paper Questions)
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Jethwa Maths Quadratics Worksheet (p4-9 After Q5 for Quadratic Inequalities), Topic Test (p4-8)
- Dr Frost Topic Test (Teacher Log in Required)
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Naiker Maths Exam Qs (2005-2011) & MS
- StudyWell Legacy inequalities Exam Questions with Solutions
- PMT
- Summary Inequalities PPQs
- Summary Simultaneous Equations PPQs
- Edexcel Set 1 Simultaneous Equations PPQs (Old Spec)
- Edexcel Set 2 Simultaneous Equations PPQs (Old Spec)
- Edexcel Set 2 Inequalities PPQs (Old Spec)
- OCR Set 1 Inequalities PPQs & Solutions (Old Spec)
- OCR Set 1 Simultaneous Equations PPQs & Solutions (Old Spec)
- OCR MEI Inequalities PPQs & Solutions (Old Spec)
- Summary Cheat Sheet