Prior Content: Solving Simple Equations, Substitution, Circle Theorems, Pythagoras
Possible Next Steps: Time-Series, Drawing & Using Graphs, Linear Inequalities, Simultaneous Equations, Differentiation, Transformations of Shapes
Contents
- 1.1 Coordinates
- 1.2 Horizontal & Vertical Linear Graphs
- 1.3 Defining & Finding Gradients
- 1.4 Finding Mid-Points of Line Segments
- 1.5 Finding the Lengths of Line Segments
- 1.6 Dividing a Line Segment in a Given Ratio (Level 2 FM)
- 2.1 Drawing Basic Graphs from a Table of Values
- 2.2 Drawing from a Table of Vales when x and y are on the Same Side
- 3.1 Discovering y=mx+c
- 3.2 Drawing Graphs using y=mx+c
- 3.3 Interpreting Pre-Drawn Graphs or Equations using y=mx+c
- 3.4 Finding y=mx+c from Points
- 3.5 Parallel & Perpendicular Lines
- 4.1 Linear Graphs in Context
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Coordinates
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Coordinates
Corbett Maths Shapes on a Grid
Online Platforms (with Videos & Exercises)
- Khan Academy
- Coordinates in all four quadrants: Videos & practice
Activities & Resources
- Interactive-Maths.com Coordinates Battleships
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- The Chalkface
- Battleships game: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- Transum
- Interactive Maths
- Coordinates: Coordinates | Battleship (First Quadrant) | Battleship (All Four Quadrants)
- Goal Free Problems
- Go Teach Maths
- Desmos
- The (Awesome) Coordinate Plane Activity (plot points to hit targets in all four quadrants)
- Ashton Coward
- BossMaths
- Dan Walker
- SMILE
- Coordinate message✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
- NCETM
- NCETM Checkpoints: Plotting coordinates (diagnostic tasks)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Coordinates Practice Questions & Solutions
- Coordinates Worksheet & Solutions
- Maths 4 Everyone
- Self Marking Sheets by Phil Rhodes
- Coordinates in Circles Excel File
- Plotting Coordinates Excel File
- CIMT MEP (online self-checking)
- Maths Genie
- Coordinates: Booklet · Worksheet · Solutions · Lesson · Topic page
- Access Maths
- Mr Morley Maths
- Coordinates and Lines: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (@Mathsblackcat)
- Coordinates and Graphs (@Mathsblackcat, ppt)
Dr Frost Resources
Dr Frost Video
K122: Determine the Coordinate of a Point in the First Quadrant.
K123: Plot a Point in the First Quadrant Given its Coordinates.
K124: Determine the Coordinate of a Point in Any Quadrant.
K125: Plot a Point in Any Quadrant Given its Coordinates.
K126: Find the Coordinates of a Vertex of a Square, Given the 3 Other Coordinates.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 152a: Plot a point to complete a shape in any quadrant.
- 152b: Determine the coordinate of a point in any quadrant.
- 152c: Plot a point in any quadrant given its coordinates.
- 152d: Determine a coordinate on the x or y axis horizontal or vertical from another point.
- 152g: Determine the coordinates of a vertex of a rectangle, given two other points.
- 152h: Determine the coordinates of a vertex of a square, rectangle or parallelogram, given the 3 other coordinates.
- 152: Exam Practice: Coordinates in all four quadrants
Extension Materials
Other Videos & Multimedia
Corbett Maths 3D Coordinates
Activities & Resources
- Pixi Maths
- Interactive-Maths.com Autograph File with Cuboid
Worksheets
- Corbettmaths
- 3D Coordinates Practice Questions & Solutions
- Pixi Maths
1.2 Horizontal & Vertical Linear Graphs
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths y Equals Graphs
Corbett Maths x Equals Graphs
Maths by Fives Horizontal & Vertical Lines
Online Platforms (with Videos & Exercises)
- Khan Academy
- Horizontal & vertical lines: Videos & practice
Activities & Resources
- Pixi Maths
- Math = Love (Sarah Carter)
- Transum
- Mr Draper Maths x=a, y=b: When?
- Go Teach Maths
- BossMaths
- A9a Plotting Straight-Line Graphs (Part 1 vertical & horizontal lines; interactive)
- Dr Austin Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Self Marking Sheets by Phil Rhodes
- Horizontal and Vertical Graphs Excel File
- Starting Points Maths
- Lines Parallel to the Axes and Sloped Lines Through the Origin (by Bruce Gray) · PDF
Dr Frost Resources
Dr Frost Video
K389: Draw a Horizontal, Vertical or Diagonal Line.
K400: Find an Equation of a Horizontal, Vertical or Diagonal line.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 268e: Draw a line with equation x=a, y=b, y=x or y=-x
- 272a: Determine the equation of a straight line given in the form x=a, y=b, y=x or y=-x
- 268: Exam Practice: Relationship between a line and its equation
- 272: Exam Practice: Determining the equation of a straight line in slope-intercept or standard form
Extension Materials
1.3 Defining & Finding Gradients
Teaching Videos, Exercises & Activities
Tutorial Videos
Maths Genie Finding the Gradient of a Line
Corbett Maths Gradient of a Line
Corbett Maths Gradient Between Two Points
Maths by Fives Find the Slope Between Two Points
Online Platforms (with Videos & Exercises)
- Khan Academy
Activities & Resources
- PhET Graphing Lines
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Average Rate of Change Question Stack
- Rate of Change Hole Punch activity
- Slope Treasure Hunt
- Finding Gradient Foldable
- Four Types of Gradient Organiser
- Rate of Change Organiser & Practice
- Rate of Change Practice Book
- Rate of Change from Table
- Slope Dude Posters
- Slope Dude Says
- Gradient from Points Notes
- Gradient Concept Map
- Gradient from a Graph Organiser
- What Would Slope Dude Say Posters
- Four Types of Gradient Foldable
- Four Types of Gradient Name Art
- Rate of Change Organiser
- Rise Over Run Reminders
- Gradient Between Points Around the Room
- Four Types of Gradient Pictures
- Gradient Foldable
- Slope Tree Method
- Don Steward
- Transum
- Interactive Maths
- Gradient of a Line: Gradient of a Line | Gradient of a Line 2
- Mr Draper Maths Gridless Gradient
- Mr Draper Maths Gradients on Grids
- Go Teach Maths
Worksheets
- Acute Learning Problem Pairs as PowerPoint or PDF
- Dr Austin Maths
- Straight Lines Practice Grid (Word | PDF✦ | Answers✦)
- Fractional Practice Grid (Word | PDF✦ | Answers✦)
- From Coordinates Practice Strips (Word | PDF | Answers)
- Straight Lines Match-Up (Word | PDF | Answers)
- Drawing Line Segments with a Given Practice Grid (Word | PDF✦ | Answers)
- More Straight Lines Match-Up (Word | PDF✦ | Answers)
- Corbettmaths
- Gradients Practice Questions & Solutions
- Gradients Worksheet✦ & Solutions
- Gradient AQA Level 2 Practice Questions & Solutions
- Kuta Software Worksheets
- Mathshelper (Jon Stone)
- Maths Genie
- Gradient of a Line: Booklet · Worksheet · Solutions · Lesson · Topic page
- MME
Dr Frost Resources
Dr Frost Video
K396: Find the Gradient of a Straight Line Which is Drawn.
K397: Find the Gradient of a Line Given Two Coordinates.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 270a: Determine a positive integer gradient of a line by counting unit squares.
- 270b: Determine a negative integer gradient of a line by counting unit squares.
- 270c: Determine a fractional gradient of a line by counting unit squares.
- 270d: Determine the gradient of a slope triangle.
- 270e: Determine the gradient of a straight line which is drawn on axes with scale in ones.
- 270f: Determine the gradient of a straight line which is drawn on axes with unusual scale.
- 270g: Determine the gradient of a line given a sketch of two points on the axes (not to scale).
- 270h: Determine the gradient of a line given two pairs of coordinates, where all coordinates are positive.
- 270i: Determine the gradient of a line given two pairs of coordinates, where 1 or 2 coordinates are negative.
- 270j: Determine the gradient of a line given two pairs of coordinates, where 3 or 4 coordinates are negative.
- 270k: Determine the unknown x or y coordinate given two points and the value of the gradient.
- 270l: Determine an algebraic expression for the gradient of a line given two points.
- 270m: Determine whether three points are collinear.
- 270n: Determine the unknown x or y coordinate given three points which lie on a straight line.
- 270: Exam Practice: Gradient of a line
Extension Materials
1.4 Finding Mid-Points of Line Segments
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Mid-Point of a Line
Corbett Maths Ratio in Coordinate Geometry
Online Platforms (with Videos & Exercises)
- Khan Academy
- Distance & midpoints: Videos & practice
Activities & Resources
- Mathsbot interactive table
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Goal Free Problems
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Corbettmaths
- Mid-Point between Two Coordinates Worksheet & Solutions
- Mid-Point & Ratio of a Line AQA Level 2 Practice Questions & Solutions
- Maths 4 Everyone
- Self Marking Sheets by Phil Rhodes
- Midpoints Excel File
- Kuta Software
- MME
Dr Frost Resources
Dr Frost Video
K320: Find the Midpoint of Two Points.
K321: Find the Coordinates of a Point that Shares a Line in a Ratio.
K322: Find a Coordinate Given Another and Their Midpoint.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 265a: Find the midpoint of two points which have been plotted.
- 265b: Find the midpoint of two points given as coordinates.
- 265c: Find a coordinate given another and their midpoint.
- 265d: Solve problems involving the midpoint of two points where some values are unknown.
- 266a: Find the coordinates of the middle of three points in a line given the ratio of the distances between them.
- 266b: Find the coordinates of the last of three points in a line given the ratio of the distances between them.
- 266c: Find the coordinates of one of three points on a line given a multiplicative relationship for the distances between them.
- 266d: Find the coordinates of one of three points in a line given a ratio of the distances between two points and the whole line segment.
- 266e: Solve problems involving two points divided into a ratio where some values are unknown.
- 269c: Determine the midpoint of the line segment between the x and y intercepts of a straight line.
- 269e: Find the coordinate of a point between the x and y intercepts in a particular ratio.
- 265: Exam Practice: Midpoint of two points
- 266: Exam Practice: Splitting a line segment in a ratio
- 269: Exam Practice: x and y intercepts of a line
Extension Materials
1.5 Finding the Lengths of Line Segments
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Distance Between Two Coordinates
Online Platforms (with Videos & Exercises)
- Khan Academy
- Distance between two points: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Acute Learning Problem Pairs
- Level 2 FM: Distance Between Two Points as PowerPoint or PDF
- Go Teach Maths
- thewessens.net Classroom Apps
- Line Segment Explorer (drag endpoints to see midpoint, exact length (Pythagoras) and gradient)
Worksheets
- Andy Lutwyche
- Dr Austin Maths
- Kuta Software
- Dr Austin Maths
- Corbettmaths
- Distance Between Two Coordinates Practice Questions & Solutions
- Distance Between Two Coordinates Worksheet✦ & Solutions
- Distance Between Two Points AQA Level 2 Practice Questions & Solutions
Dr Frost Resources
Dr Frost Video
K507: Use Pythagoras’ Theorem to Find the Distance Between Two Points.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 289a: Use Pythagoras’ theorem to find the distance between two points.
- 289b: Use Pythagoras’ theorem to determine the perimeter of a rectangle on a coordinate grid.
- 289c: Use Pythagoras’ theorem to determine the perimeter of a rectangle given the coordinates of its vertices.
- 338b: Use Pythagoras’ theorem to find the distance between two points in simplified surd form.
- 289: Exam Practice: Distance between two 2D points given their coordinates
- 338: Exam Practice: Pythagoras’ Theorem with surds
Extension Materials
1.6 Dividing a Line Segment in a Given Ratio (Level 2 FM)
Teaching Videos, Exercises & Activities
Tutorial Videos
GCSE Maths – Using Ratios to Find the Coordinates of a Point On a Line by Cognito
Coordinate geometry – Dividing a line internally in a given ratio : ExamSolutions Maths Revision by ExamSolutions
Dividing line segments according to ratio by Khan Academy
Activities & Resources
- Acute Learning Problem Pairs
- Level 2 FM: Ratio with Straight Lines as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Corbettmaths
- Mid-Point & Ratio of a Line AQA Level 2 Practice Questions & Solutions
- Starting Points Maths
Dr Frost Resources
Dr Frost Video
K321: Find the Coordinates of a Point that Shares a Line in a Ratio.
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
- 266a: Find the coordinates of the middle of three points in a line given the ratio of the distances between them.
- 266b: Find the coordinates of the last of three points in a line given the ratio of the distances between them.
- 266c: Find the coordinates of one of three points on a line given a multiplicative relationship for the distances between them.
- 266d: Find the coordinates of one of three points in a line given a ratio of the distances between two points and the whole line segment.
- 266e: Solve problems involving two points divided into a ratio where some values are unknown.
- 269e: Find the coordinate of a point between the x and y intercepts in a particular ratio.
- 266: Exam Practice: Splitting a line segment in a ratio
2.1 Drawing Basic Graphs from a Table of Values
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Drawing Graphs xy Table
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Don Steward
- Rules to Points 3 · 2 · 1
- Simple Linear Relationships
- Simple Linear Relationships (Simpler)
- Spring Relationships
- Go Teach Maths
- NCETM
Worksheets
- Dr Austin Maths
- Corbettmaths
- Drawing Linear Graphs Practice Questions & Solutions
- Drawing Linear Graphs Worksheet & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Maths Genie
- Drawing Linear Graphs: Booklet · Worksheet · Solutions · Lesson · Topic page
- MME
- 1st Class Maths
- Mr Morley Maths
- Drawing Straight Line Graphs: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Derek Mooney)
- Graphing Straight Lines (Derek Mooney, pdf)
Dr Frost Resources
Dr Frost Video
K394: Determine Whether a Point Lies On a Line Given Its Equation.
K388: Complete a Table of Values for a Linear Graph.
K395: Determine the Coordinate of the x or y Intercept of a Straight Line Given Its Equation.
K390: Draw a Line From Its Equation When the Gradient is Positive.
K391: Draw a Line From Its Equation When the Gradient is Negative.
K392: Draw a Line From Its Equation When the Gradient is a Fraction.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
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
- 267a: Complete a table of values for a linear graph with a positive integer coefficient of x
- 267b: Complete a table of values for a linear graph with a negative integer coefficient of x
- 267c: Complete a table of values for a linear graph with a fractional coefficient of x
- 267d: Plot a linear graph using a completed table of values.
- 267e: Complete a table of values and plot the corresponding linear graph.
- 267f: Plot a linear graph using only two points.
- 268a: Determine whether a point lies on a line given its equation in the form y = mx + c
- 268b: Determine whether a point lies on a line given its equation in the form ax + by = c
- 268c: Determine the missing x or y coordinate given the equation of a straight line.
- 268d: Use a linear graph to determine a y-value for a given x-value.
- 269b: Determine the x or y intercept of a straight line given an equation by substitution of 0.
- 267: Exam Practice: Plotting a straight line from a table of values
- 268: Exam Practice: Relationship between a line and its equation
- 269: Exam Practice: x and y intercepts of a line
Extension Materials
2.2 Drawing from a Table of Vales when x and y are on the Same Side
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Maths by Fives Complete a Table of Values
Maths by Fives Graphing a Line by Plotting Points
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Go Teach Maths
- Mr Thompson Maths
Worksheets
- Dr Austin Maths
- Pixi Maths
- Kuta Software
Dr Frost resources
Dr Frost Video
K393: Draw a Line With an Equation in the Form ax+by=c.
Dr Frost Slides & Activities
- All in one summary sheet
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
- 273d: Draw a line with an equation given in the form x+y=a
- 273e: Draw a line with an equation given in the form ax+by=c
- 273: Exam Practice: Drawing a line from its equation
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.1 Discovering y=mx+c
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equation of a Line
Online Platforms (with Videos & Exercises)
- Khan Academy
- Intro to slope-intercept form (y = mx + c): Videos & practice
Activities
- Don Steward
- The Chalkface
- PhET Interactive Simulations
- PhET Graphing Slope-Intercept Interactive Simulation (embedded below)
- Interactive Maths
- y = mx + c: y = mx + c Activity
- thewessens.net Classroom Apps
- Line Explorer (drag points to see how gradient and intercept change y = mx + c)
- BossMaths
- Jo Morgan
- NCETM
Worksheets
Dr Frost resources
Dr Frost Video
K399: Find the y-Intercept of a Straight Line Which is Drawn.
K398: Find the Gradient or y-Intercept of a Line Given Its Equation in the Form y=mx+c.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 269a: Determine the x or y intercept of a straight line which is drawn.
- 271a: Write the equation of a line in the form y=mx+c given a gradient and y-intercept.
- 271b: Determine the gradient or y-intercept of a line given its equation in the form y = mx + c
- 271e: Determine the steepest line from a set of equations.
- 269: Exam Practice: x and y intercepts of a line
- 271: Exam Practice: Understanding the equation of a straight line in slope-intercept form (y=mx+c) or standard form (ax + by = c)
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.2 Drawing Graphs using y=mx+c
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Drawing Linear Graphs Using Gradient & Intercept
Maths by Fives Graph a Line with a Point and Slope
Online Platforms (with Videos & Exercises)
- Khan Academy
- Graphing slope-intercept equations: Videos & practice
Activities
- Craig Barton Variation Theory Gradient and Intercept when y = Presentation & Questions
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Access Maths
- Interactive Maths
- Drawing Straight Line Graphs: GeoGebra
- Go Teach Maths
- Desmos
- Marbleslides: Lines (transform lines so the marbles pass through the stars)
- Land the Plane (find equations of lines to land a plane on the runway)
Worksheets
- Corbettmaths
- Drawing Linear Graphs Practice Questions & Solutions
- Drawing Linear Graphs Worksheet & Solutions
- Danielle Moosajee Sketching Linear Graphs Using the Gradient and the y (1)
- Self Marking Sheets by Phil Rhodes
- Straight Line graphs – Lots of Mixed Questions Google Sheet
- Mixed Graphs Excel File
- CIMT MEP (online self-checking)
- Kuta Software
- Pret Homework (Derek Mooney)
- y = mx + c (Derek Mooney, pdf)
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 273a: Draw a line from its equation given in the form y=mx+c when the gradient is positive.
- 273b: Draw a line from its equation given in the form y=mx+c when the gradient is negative.
- 273c: Draw a line from its equation given in the form y=mx+c when the gradient is a fraction.
- 273: Exam Practice: Drawing a line from its equation
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.3 Interpreting Pre-Drawn Graphs or Equations using y=mx+c
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Finding Equation of a Linear Graph
Corbett Maths Finding Equation of a Line
Online Platforms (with Videos & Exercises)
- Khan Academy
- Forms of linear equations summary: Videos & practice
Activities
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Transum
- Go Teach Maths
- Desmos
- Polygraph: Lines (guess-who style game building gradient/intercept vocabulary)
- Card Sort: Linear Functions (group graphs, tables and equations of lines)
Worksheets
- Dr Austin Maths
- Finding Equations of Straight Lines from Practice Grid (Word | PDF | Answers)
- Finding Harder Equations of Straight Lines from Practice Grid (Word | PDF | Answers)
- Finding Intercept Practice Strips (Word | PDF | Answers)
- Finding Intercept Practice Strips (Word | PDF | Answers)
- Intercept of a Straight Line Fill in the Blanks (Word | PDF | Answers)
- Rearranging Equations of Straight Lines Practice Strips (Word | PDF | Answers)
- Straight Lines Odd One Out (Word | PDF | Answers)
- A Straight Line Fill In The Blanks (Word | PDF | Answers)
- Harder Rearranging Equations of Straight Lines Practice Strips (Word | PDF | Answers)
- A Straight Line Spider Diagrams (Word | PDF | Answers)
- Harder Equation of a Straight Line Spider Diagrams (Word | PDF | Answers)
- Rearranging Equations of Straight Lines Fill in the Blanks (Word | PDF✦ | Answers✦)
- Straight Lines Give an Example (Word | PDF | Answers)
- Corbettmaths
- Equation of a Line Practice Questions & Solutions
- Equation of a Line Worksheet & Solutions
- Maths 4 Everyone
- Straight Line Equation First Steps
- Straight Line Equations Strengthen
- Gradients and Intercepts Loop: Set 1 · Set 2
- Pixi Maths
- Mathshelper (Jon Stone)
- MadAsMaths (T. Madas)
- Line Coordinate Geometry Practice Gradients & Intercepts Q1–2
- Mr Morley Maths
- Naming Straight Line Graphs (y=mx+c): Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (Rachel Mahoney)
- Does a Point Lie on a Line? (Rachel Mahoney, pptx)
Dr Frost resources
Dr Frost Video
K401: Find an Equation of a Straight Line Which is Drawn.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 272b: Determine the equation of a straight line in y=mx+c form which is drawn, where m is a positive integer.
- 272c: Determine the equation of a straight line in y=mx+c form which is drawn, where m is a negative integer.
- 272d: Determine the equation of a straight line in y=mx+c form which is drawn, where m is fractional.
- 272e: Determine the equation of a straight line in ax+by=c form which is drawn.
- 272: Exam Practice: Determining the equation of a straight line in slope-intercept or standard form
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.4 Finding y=mx+c from Points
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Equation of a Line Through a Point (Using y-y1=m(x-x1))
Corbett Maths Finding the Equation of a Line Passing Through Two Points
Maths by Fives Finding the Equation of a Line Using y=mx+b
Maths by Fives Finding the Equation of a Line Given Two Points
Maths by Fives Find x & y Intercepts
Online Platforms (with Videos & Exercises)
- Khan Academy
- Writing slope-intercept equations: Videos & practice
Activities
- Pixi Maths
- Andy Lutwyche
- Equations of Lines Codebreakers
- Clumsy Clive On Equations Of Lines
- Equations of Lines Codebreaker
- Crack The Safe – (Equations of Lines, Equations of Curves, Transforming)
- Clumsy Clive’s Test
- Equations Functions Codebreaker
- Equations of Lines Codbreakers
- Equations of Lines – Fill In The Blanks
- Equations of Lines (With Coordinates) – Fill In The Blanks
- Lines to Equations of Lines
- Cartoon – KS3/KS4
- Sinic The Groundhog
- GCSE Maths: Christmas activities
- Santa's Flight Path
- Passing
- Amazing Solo Try – y=mx+c
- Air Traffic Control with Disney's Planes – y=mx+c
- Math = Love (Sarah Carter)
- Don Steward
- Acute Learning Problem Pairs
- Level 2 FM: Equation of a Straight Line as PowerPoint or PDF
- Transum
- Goal Free Problems
- Go Teach Maths
- Desmos
- Match My Line (scaffolded challenges writing equations to match given lines)
- Maria Howard
- Mr Thompson Maths
- Pondering Planning in Mathematics (Paul Rowlandson)
- Twists and Turns with Straight Line Graphs (blog post) · slides
Worksheets
- Dr Austin Maths
- Equations from a Point Practice Strips (Word | PDF | Answers)
- Equations from Two Points Practice Strips (Word | PDF | Answers)
- The Equation of a Straight Line Fill in the Blanks (Word | PDF | Answers)
- Equations from Two Points Fill in the Blanks (Word | PDF | Answers)
- Coordinates and Straight Lines Practice Grid (Word | PDF | Answers)
- Corbettmaths
- Equation of a Line Practice Questions & Solutions
- Equation of a Line Worksheet & Solutions
- Equation of a Line AQA Level 2 Practice Questions & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Mathshelper (Jon Stone)
- Maths Genie
- Equation of a Line: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- Mathsaurus (Kevin Olding)
- MME
- 1st Class Maths
- MadAsMaths (T. Madas)
- Line Coordinate Geometry Practice Using Standard Formulae Q13–16
- @taylorda01
- Mr Morley Maths
- Equation of a Line Through Two Points: Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (@cjshore)
- Linear Graphs – Higher (@cjshore, docx)
Dr Frost resources
Dr Frost Video
K402: Find an Equation of a Straight Line Given Its Gradient and a Point.
K403: Find an Equation of a Straight Line Given Two Points.
K404: Find the Gradient or y-Intercept of a Line Given Its Equation in the Form px+qy=r.
K779: Find an Equation of a Straight Line Given the Gradient and One Point Using y−y1=m(x−x1).
K780: Find an Equation of a Straight Line Given Two Points Using y−y1=m(x−x1).
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 271c: Write the equation of a line in the form ax+by=c given a gradient and y-intercept.
- 271d: Determine the gradient or y-intercept of a line given its equation in the form ax + by = c or ax + by + c = 0
- 272f: Determine the equation of a straight line in y=mx+c form given its gradient and a point, where the gradient is an integer.
- 272g: Determine the equation of a straight line in y=mx+c form given a non-integer gradient and a point.
- 272h: Determine the equation of a straight line in ax+by=c form given a gradient and a point.
- 272i: Determine the equation of a straight line in the form y=mx+c given two points.
- 272j: Determine the equation of a straight line in the form ax + by = c given two points.
- 272k: Determine the equation of the median of a triangle given its coordinates.
- 271: Exam Practice: Understanding the equation of a straight line in slope-intercept form (y=mx+c) or standard form (ax + by = c)
- 272: Exam Practice: Determining the equation of a straight line in slope-intercept or standard form
Further Practice
- Practise Questions
EXTENSION MATERIALS
3.5 Parallel & Perpendicular Lines
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Linear Graphs & Parallel Lines
Corbett Maths Perpendicular Graphs
Maths by Fives Parallel, Perpendicular or Neither; Linear Equations
Maths by Fives Find the Equation of a Line Given a Slope and Perpendicular to Different Line
Online Platforms (with Videos & Exercises)
- Khan Academy
- Parallel & perpendicular line equations: Videos & practice
Activities
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Transum
- Interactive Maths
- Parallel & Perpendicular Lines: Parallel Lines | Perpendicular Lines
- Goal Free Problems
- Go Teach Maths
- MathsPad
Worksheets
- Dr Austin Maths
- Equations of Parallel and Perpendicular Lines Practice Strips (Word | PDF | Answers)
- Equations of Parallel and Perpendicular Lines Spider Diagrams (Word | PDF | Answers)
- Match-Up (Word | PDF✦ | Answers✦)
- True or False (Word | PDF✦ | Answers✦)
- Equations of Parallel Lines Practice Strips (Word | PDF | Answers)
- Sort It Out (Word | PDF✦ | Answers✦)
- Or Not Parallel Activity (Word | PDF✦ | Answers✦)
- Equations of Perpendicular Lines Practice Strips (Word | PDF | Answers)
- Odd One Out (Word | PDF | Answers)
- Corbettmaths
- Parallel & Perpendicular Lines Practice Questions & Solutions
- Parallel & Perpendicular Lines Worksheet & Solutions
- Parallel & Perpendicular Lines AQA Level 2 Practice Questions & Solutions
- Pixi Maths
- CIMT MEP (online self-checking)
- Maths Genie
- Parallel and Perpendicular Lines: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Equations of Perpendicular Lines: Worksheet
- Access Maths
- MME
- 1st Class Maths
- MadAsMaths (T. Madas)
- Line Coordinate Geometry Exam Questions Basic Q3, 12–13, 21 (difficulty 2–3 of 5)
- Line Coordinate Geometry Practice Parallel & Perpendicular Lines Q1–13
- Mr Morley Maths
- Equation of Perpendicular Lines: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost resources
Dr Frost Video
K405: Find an Equation of a Line Parallel to Another.
K576: Determine Whether Two Lines are Perpendicular Given Their Equations (No Rearrangement).
K577: Determine Whether Two Lines are Perpendicular Given Their Equations (Rearrangement Required).
K578: Find an Equation of a Line Perpendicular to Another.
K781: Find an Equation of a Straight Line Parallel to Another Using y−y1=m(x−x1).
K579: Find the Equation of a Tangent to a Circle.
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
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
- 274a: Determine if two straight lines are parallel from their equations in the form y=mx+c
- 274b: Determine if two straight lines are parallel from their equations, requiring rearrangement with addition and subtraction only.
- 274c: Determine if two straight lines are parallel from their equations, requiring rearrangement with multiplication and division.
- 274d: Find an equation of a line parallel to another in the form y=mx+c
- 274e: Find an equation of a line parallel to another given in the form ax+by=c
- 274f: Find an equation of a line in the form y=mx+c which is parallel to the line segment connecting two points.
- 274g: Find an equation of a line in the form ax+by=c which is parallel to the line segment connecting two points.
- 445a: Determine the gradient of a line perpendicular to another with a given gradient.
- 445b: Determine whether two lines are perpendicular given their equations (no rearrangement).
- 445c: Determine whether two lines are perpendicular given their equations (rearrangement required).
- 445d: Determine whether two lines are perpendicular by calculating their gradients.
- 445e: Find an equation of a line perpendicular to another that passes through a given point.
- 445f: Find an equation of a line perpendicular to another that passes through a given point (rearrangement required).
- 445g: Determine the equation of a line perpendicular to another line that passes through two given points.
- 445h: Determine the point of intersection of a line with a given equation and its perpendicular with a given y-intercept.
- 445i: Determine a missing coordinate on a line given another is perpendicular to it.
- 445j: Determine a point on a line which is closest to another point.
- 445k: Determine the equation of an altitude of a triangle.
- 445l: Determine the equation of the perpendicular bisector of two points, or the diagonal of a kite given the other.
- 445m: Solve problems involving the intersection of perpendicular lines with the coordinate axes.
- 445n: Determine the equation of the diagonal of a kite given the coordinates of the vertices on the other diagonal.
- 445o: Determine the coordinates of a point on a kite given one diagonal and another point.
- 445p: Determine the area of a rectangle whose diagonal is a coordinate axis.
- 445q: Show that points make geometric shapes when connected using gradients of parallel and perpendicular lines and their lengths.
- 445r: Determine the area of a triangle with horizontal or vertical base by finding the point of intersection of two perpendicular lines.
- 447a: Determine the equation of a tangent to a circle centred at the origin.
- 447b: Determine the x-intercept or y-intercept of a tangent to a circle centred at the origin.
- 447c: Determine the area of a triangle formed by a tangent to a circle centred at the origin.
- 447d: Determine the coordinates of the point where a tangent with given equation intersects a circle centred at the origin. (not yet active)
- 274: Exam Practice: Equations of parallel lines
- 445: Exam Practice: Equations of perpendicular lines
- 447: Exam Practice: Equation of a tangent to a circle centred at the origin
Further Practice
- Practise Questions
EXTENSION MATERIALS
Other Videos & Multimedia
Corbett Maths Shortest Distance of a Point from a Line
Corbett Maths Equations of a Tangent to a Circle
Activities & Resources
- Pixi Maths
- Equations of Circles and Their Tangents ppt (Slides 9-15)
Worksheets
- Corbettmaths
- Shortest Distance between a Point and a Line Worksheet & Solutions
- Equation of a Tangent to a Circle Practice Questions & Solutions
- Equation of a Tangent to a Circle AQA Level 2 Practice Questions & Solutions
- Pixi Maths
4.1 Linear Graphs in Context
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Dr Frost resources
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Linear Graphs & Gradients 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
- Straight Line Graphs as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- Pixi Maths
- Andy Lutwyche
- Non-Examples – Coordinates – Reasoning Tasks
- SSDD 1: Two Coordinates 1 · 2
- Mathshelper (Jon Stone)
- Coordinate Geometry: Worksheet 1 · Worksheet 2 · Worksheet 3
- Gradient, Mid-Point & Length
- MathedUp
- Straight-Line Graphs: Worksheet · Practice · Quiz · Question Gallery
- Parallel & Perpendicular Lines: Worksheet · Practice · Quiz · Question Gallery
- Coordinates & Simple Graphs: Worksheet · Practice · Quiz · Question Gallery
- Straight Line Graphs: Worksheet · Practice · Quiz · Question Gallery
- Ratio of Points on a Line: Worksheet · Practice · Quiz · Question Gallery
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- MME
- Jo Morgan
- MadAsMaths (T. Madas)
- Line Coordinate Geometry Practice Using Standard Formulae Q1–12
- Mathattack
- Linear graphs homework sheet✦ (original by Mathattack; copy hosted on Jo Morgan’s Drive)
Activities
- NRICH (student problems)
- Don Steward
- Access Maths
- Go Teach Maths
- MathsPad
- GeoGebra
- Desmos
- Dr Austin Maths
- Miss Norledge
External
- NCETM
- NCETM Checkpoints: Graphical representations of linear relationships (diagnostic tasks)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.