Prior Content: GCSE/IGCSE Linear Graphs & Gradients
Previous Section: Sketching & Transforming Graphs
Next Section: Circles
Contents
- Whole Topic Notes
- 5A Finding Gradients
- 5B y=mx+c
- 5C y-y1=m(x-x1)
- 5D Interceptions
- 5E Parallel Lines
- 5F Perpendicular Lines
- 5G Length of Line Segments
- 5H Questions in Context
- 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 Straight Line Graphs Section
- Dr Frost Co-Ordinate Geometry Slides
- Blank Notes to Follow Slides Word Doc & PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
5A Finding Gradients
*Note I like to teach 5A and 5B together. Resources for this are in the 5B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (Up to 7:26)
Dr Frost resources
Dr Frost Video
Whole Topic Section (Up to 3:27)
K396: Find the Gradient of a Straight Line Which is Drawn.
K397: Find the Gradient of a Line Given Two Coordinates.
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (Up to 25:00)
Download Blank Notes
Notes in Next Section
(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
- 396 Find the Gradient of a Straight Line Which is Drawn.
- 397 Find the Gradient of a Line Given Two Coordinates.
- Combination of All
Straight Line Graphs 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 Slope
Activities
- Maths Genie Finding the Gradient Practice
- PhET Graphing Lines
Worksheets
5B y=mx+c
*Note I like to teach 5A and 5B together. Resources for this are in the 5B Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (From 7:26)
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 3:27 to 4:50)
- 172 Draw a line from its equation when the gradient is positive. Key Skill Video (GCSE)
- 173 Draw a line from its equation when the gradient is negative. Key Skill Video (GCSE)
- 174 Draw a line from its equation when the gradient is a fraction. Key Skill Video (GCSE)
- 196 Find the gradient of a straight line which is drawn. Key Skill Video (GCSE)
- 198 Find the y-intercept of a straight line which is drawn. Key Skill Video (GCSE)
- 200 Find an equation of a straight line which is drawn. Key Skill Video (GCSE)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (From 25:00)
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
- 172 Draw a line from its equation when the gradient is positive.
- 173 Draw a line from its equation when the gradient is negative.
- 174 Draw a line from its equation when the gradient is a fraction.
- 196 Find the gradient of a straight line which is drawn.
- 198 Find the y-intercept of a straight line which is drawn.
- 199 Find an equation of a horizontal, vertical or diagonal line.
- 200 Find an equation of a straight line which is drawn.
- 498 Complete a table of values for a linear graph.
- 504 Draw a horizontal, vertical or diagonal line.
- 512 Find the gradient or y-intercept of a line given its equation in the form y=mx+c.
- 513 Find the gradient or y-intercept of a line given its equation in the form px+qy=r.
- 556 Draw a line with an equation in the form ax+by=c.
- Combination of all
Straight Line Graphs 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 Forms of Linear Equations
Activities
- PhET Graphing Lines
- Median Don Steward Venn Activity
Worksheets
5C y-y1=m(x-x1)
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (Up to 5:40)
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 4:50 to 10:44)
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
- 779 Find an Equation of a Straight Line Given the Gradient and One Point Using y−y1=m(x−x1).
- 780 Find an Equation of a Straight Line Given Two Points Using y−y1=m(x−x1).
- K191c: Find an equation of a straight line given its gradient and a point, where the gradient is a whole number.
- Combination of All
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
- 415 Find an equation of a straight line given two points.
Straight Line Graphs GCSE Key Skills Section (for selecting more than one)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- MEI Straight Line Arithmagons
- Underground Maths Straight Line Pairs
5D Interceptions
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. (From 5:40)
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
- No Key Skills Yet
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
5E Parallel Lines
*Note I like to teach 5E and 5F together. Resources for this are in the 5F Other Resources Section.
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (Up to 3:44)
Bicen Maths Live Lesson
No Live Lesson by Bicen Maths for this Section
Download Blank Notes
Notes in Next Section
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 25-29 (5E & F)
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
- 653 Find an equation of a straight line parallel to another.
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
- 416 Find an equation of a line parallel to another.
Straight Line Graphs GCSE Key Skills Section (for selecting more than one)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF in Next Section
5F Perpendicular Lines
*Note I like to teach 5E and 5F together. Resources for this are in the 5F Other Resources Section.
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
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
- Dr Frost Slides 25-29 (5E & F)
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
- K263c: Find the gradient of a line perpendicular to another given its gradient.
- 654 Find an equation of a straight line perpendicular to another.
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
- 417 Find an equation of a line perpendicular to another.
Straight Line Graphs 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
- Mathematics Assessment Project Finding Equations of Parallel and Perpendicular Lines (p10 Onwards)
- Standards Unit Connecting Perpendicular Lines
- Underground Maths Lots of lines
Worksheet
- Jo Morgan Perpendicular Lines Worksheet (TES Account Required)
5G Length of Line Segments
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
Topic Tests
- Standard Test (Equation of a Straight Line)
- Advanced Test (Equation of a Straight Line)
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
- 507 Use Pythagoras’ Theorem to Find the Distance Between Two Points.
- K229b: Use Pythagoras’ theorem to find the distance between two points in surd form.
Practice Questions
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- kutasoftware Worksheets
Further Activities and worksheets covering all concepts in this chapter at the bottom of this page
5H Questions in Context
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Whole Topic Video (From 10:44)
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
- 656 Find the area of a triangle enclosed by an axis and two intersecting lines.
Coordinate Geometry in the (x,y) plane Key Skills Section (for selecting more than one)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Applying Intercepts and Slope
Activities
- The Chalk Face Mobile Phone Contracts
Worksheets
- Jethwa Maths Starter Activities (p7-8)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Co-Ordinate Geometry (Ignore Circles Questions)
Activities
- The Chalk Face Straight Line Graphs Checklist
- MEI Tilted Square
- Mr Slack Specify a Line (TES Account Required)
- Mr Southern Maths Co-ordinate Geometry Mixed Exercise and with Graphs (Preview in tweet below)
External Whole Topic Past Paper Style Questions
- Maths Genie Booklet & Solutions
- Jethwa Maths Worksheet (p1-3), Topic Test (p1-4) & Starter Activities
- Dr Frost Topic Test (Teacher Log in Required)
- Mathsaurus Mixed Exam Board PPQs & Video Solutions
- Naiker Maths Exam Qs (2005-2011) & MS
- Solomon C1 Co-Ordinate Geometry A Questions & Solutions (Q18 & Q19 Use Mid-Points)
- Numerous Further Solomon Worksheets in Next Chapter at Bottom of Perpendicular Bisectors Section
- PMT
- Summary Straight Lines PPQs
- Edexcel Set 1 Co-Ordinate Geometry – Straight Lines PPQs (Old Spec) *Some Differentiation
- Edexcel Set 2 Co-Ordinate Geometry – Straight Lines PPQs (Old Spec) *Some Differentiation
- OCR Set 1 C1 Co-Ordinate Geometry PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry 1 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry 2 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry 3 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry 4 PPQs & MS (Old Spec)
- OCR MEI C1 Co-Ordinate Geometry 5 PPQs & MS (Old Spec)
- Summary Cheat Sheet