Drawing & Using Graphs

Tutorial Videos

Drawing quadratics – Corbettmaths

Corbett Maths Drawing Quadratics

Change of Sign – Corbettmaths

Corbett Maths Change of Sign

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Intro to parabolas: Videos & practice

Activities & Resources

• Andy Lutwyche
  • Coordinates On Functions Codebreaker
  • Angry Birds Maths 2 – Quadratic Destruction
• Don Steward
  • The Quadratic Function
• PhET Interactive Simulations
  • PhET Graphing Quadratics Interactive Simulation (embedded below)
• Transum
  • Plotting Graphs
• Go Teach Maths
  • Plotting Quadratic Graphs Using Coordinates
• Mr Thompson Maths
  • Plotting Basic Quadratic Graphs✦

Worksheets

• Dr Austin Maths
  • Plotting Practice Grid (Word | PDF✦ | Answers✦)
  • Plotting Create-a-Picture (Word | PDF | Answers)
• Corbettmaths
  • Drawing Quadratics Practice Questions & Solutions
  • Drawing Quadratics Worksheet & Solutions
• Miss Konstantine (MathsHKO)
  • Quadratic Graphs
• Maths Genie
  • Drawing Quadratic Graphs: Booklet · Worksheet · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Plotting graphs, easy (exam questions)
• Naiker Maths
  • Drawing Quadratic Graphs: Worksheet
• Access Maths
  • Quadratic Graphs: Drawing Parabolas & Finding the Minimum Point | Fluency & Reasoning Sheet
• MME
  • Plotting Quadratics & Harder Graphs (exam style): Questions | Answers  •  Plotting Quadratics & Harder Graphs (drill): Questions | Answers
• Mr Morley Maths
  • Drawing Graphs of Quadratic Equations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme

Dr Frost Video

Key Skill – Complete a table a value for a quadratic graph.

K414: Complete a Table of Values for a Quadratic Graph.

Key Skill – Plot a quadratic graph.

K415: Plot 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

• 366a: Determine whether a point lies on a curve given a quadratic equation.
• 366b: Complete a table of values for a quadratic graph of the form y = x² ± bx ± c
• 366c: Complete a table of values for a quadratic graph of the form y = ax² ± bx ± c
• 366d: Plot a quadratic graph using a completed table of values for y = ax² + … where a > 0
• 366e: Plot a quadratic graph using a completed table of values for y = ax² + … where a < 0 (not yet active)
• 366f: Complete a table of values and plot the corresponding quadratic graph.
• 366: Exam Practice: Plotting quadratic graphs from a table of values

Tutorial Videos

Cubic Graphs – Corbettmaths

Corbett Maths Cubic Graphs

Exponential Graphs

Corbett Maths Exponential Graphs

Reciprocal graphs – Corbettmaths

Corbett Maths Reciprocal Graphs

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Graphs of exponential growth: Videos & practice

Activities & Resources

• Pixi Maths
  • Quadratic, Cubic & Reciprocal Graphs ppt
• Andy Lutwyche
  • Reciprocal Lesson Resources
  • Generating Points On Curves Codebreaker
  • Generating Points Codebreaker
  • Types of Non-Linear Function
  • Plotting Given Their Equations
  • Time Rider 2 – The Cubic of Life – Cubic
• Don Steward
  • Fitting an Exponential Function
  • Geometry of the Reciprocal Function
  • Cubics
  • Cubic Graph
• Interactive Maths
  • Drawing Curves: GeoGebra
• Go Teach Maths
  • Plotting Non-Linear Graphs Using Coordinates
  • Plotting Exponential Functions
• BossMaths
  • Graphs of exponential functions – full lesson✦

Worksheets

• Dr Austin Maths
  • Plotting Linear and Non- Revision Practice Grid (Word | PDF✦ | Answers✦)
  • Plotting Non- Create-a-Picture (Word | PDF | Answers)
  • Plotting Cubic Practice Grid (Word | PDF✦ | Answers✦)
  • Plotting Reciprocal Practice Grid (Word | PDF✦ | Answers✦)
  • Plotting Harder Non- Practice Grid (Word | PDF✦ | Answers✦)
  • Exponential Functions Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Cubic Graphs Practice Questions & Solutions
  • Exponential Graphs Practice Questions & Solutions
  • Reciprocal Graphs Practice Questions & Solutions
  • Exponential Graphs (AQA Level 2) Practice Questions✦ & Solutions✦
• Pixi Maths
  • Quadratic, Cubic and Reciprocal Graphs RAG (Q1-6)
• Maths Genie
  • Drawing Other Graphs: Cubic/Reciprocal: Booklet · Solutions · Lesson · Topic page
• MME
  • Plotting Harder Graphs (drill): Questions | Answers
• Pret Homework (@PixiMaths)
  • Non-Linear Graphs (@PixiMaths, pptx)

Dr Frost Video

Key Skill – Plot a cubic graph.

K416: Plot a Cubic Graph.

Key Skill – Find the values of p and q in the exponential function y=pq^x.

K607: Find the Values of p and q in the Exponential Function y=pq^x.

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

• 420a: Complete a table of values for a cubic graph.
• 420b: Plot a cubic graph in the form y=ax³ using a completed table of values.
• 420c: Plot a cubic graph using a completed table of values with positive coefficient of x³
• 420d: Plot a cubic graph using a completed table of values with negative coefficient of x³
• 420e: Complete a table of values and plot the corresponding cubic graph.
• 422a: Complete a table of values for a graph with equation y=a/x
• 422b: Complete a table of values for a graph with equation y=-a/x
• 422c: Complete a table of values for a graph with equation y=a/x² or y=-a/x²
• 422d: Plot a graph of y=a/x or y=-a/x using a completed table of values.
• 422e: Plot a graph of y=a/x² or y=-a/x² using a completed table of values.
• 422f: Complete a table of values and plot the corresponding reciprocal graph.
• 422g: Determine the number of solutions to an equation involving a reciprocal term and a straight line or quadratic curve.
• 422h: Plot a graph involving an equation with a mixture of reciprocal and linear terms.
• 423a: Complete a table of values for an exponential graph with equation y=a^x for positive integer a
• 423b: Complete a table of values for an exponential graph with equation y=ka^x for positive integers a and k
• 423c: Complete a table of values for an exponential graph with equation y=a^-x for positive integer a
• 423d: Complete a table of values for an exponential graph with equation y=a^x for fractional a
• 423e: Plot an exponential graph of the form y = ab^x or y = ab^-x using a completed table of values.
• 423f: Plot exponential graphs of the form y=ka^x+b
• 423g: Complete a table of values and plot the corresponding exponential graph.
• 425a: Determine the values of k and a in the exponential function y = ka^x
• 425b: Use a graph to determine the function y = ka^x
• 425c: Determine an exponential model y = ka^x from two data points to make a prediction.
• 425d: Determine an exponential model y = ka^x +b from two data points to make a prediction.
• 420: Exam Practice: Plotting simple cubic graphs
• 422: Exam Practice: Plotting reciprocal graphs
• 423: Exam Practice: Plotting exponential graphs
• 425: Exam Practice: Determining the values of k and a in the exponential function y = ka^x

Tutorial Videos

Equation of a Circle – Corbettmaths

Corbett Maths Equation of a Circle

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Graphs of circles: Videos & practice

Activities & Resources

• Andy Lutwyche
  • Codebreaker
  • Matching
  • Fill In The Blanks
• Don Steward
  • Two Tangents Meet on the Y-Axis✦
  • Equation of a Circle
• Transum
  • Circle Equations✦
• Go Teach Maths
  • The Equation of a Circle
  • The Equation of the Tangent to a Circle
• BossMaths
  • A16a Equation of a Circle Centred at the Origin✦
• pbrucemaths
  • Equation of a circle – GCSE – Difficult!✦

Worksheets

• Corbettmaths
  • Equation of a Circle Practice Questions & Solutions
  • Equation of a Circle (Centre is the Origin) AQA Level 2 Practice Questions (Q1-5) & Solutions
• Dr Austin Maths
  • A Tangent to a Circle Practice Strips (Word | PDF | Answers)
  • A Tangent to a Circle Fill in the Blanks (Word | PDF | Answers)
• Miss Konstantine (MathsHKO)
  • Non-Linear Graphs (MCQ)
• Maths Genie
  • Perpendicular Lines and the equation of a tangent: Booklet · Worksheet · Solutions · Lesson · Topic page
• Naiker Maths
  • Equation of Circles & Tangents: Worksheet
• Physics & Maths Tutor
  • Equation of a Circle and its Tangent (H): Notes · Worksheet · Solutions
• Access Maths
  • Circle Equations Fluency & Reasoning Sheet
• MME
  • Circle Graphs & Tangents (exam style): Questions | Answers  •  Graphs & Tangents (drill): Questions | Answers  •  Graphs & Tangents (exam questions): Questions | Answers
• 1st Class Maths
  • Equation of a circle questions✦ (solutions✦)

Dr Frost Video

Key Skill – Plot the graph of a circle centred at the origin.

K417: Plot the Graph of a Circle Centred at the Origin.

Key Skill – Find an equation of a circle centred at the origin which is drawn.

K418: Find an Equation of a Circle Centred at the Origin Which is Drawn.

Key Skill – Find an equation of a circle centred at the origin given its radius.

K419: Find an Equation of a Circle Centred at the Origin Given Its Radius.

Key Skill – Find the radius of a circle given its equation.

K420: Find the Radius of a Circle Given its Equation.

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

• 446a: Appreciate that a point on the circumference of a circle centred at the origin satisfies its equation.
• 446b: Plot the graph of a circle centred at the origin.
• 446c: Determine the radius of a circle given its equation.
• 446d: Determine the equation of a circle centred at the origin given its radius.
• 446e: Determine the equation of a circle centred at the origin which is drawn.
• 446f: Determine the equation of a circle centred at the origin, using a point given on the circumference.
• 446g: Determine an area or circumference of a circle centred at the origin given its equation.
• 446h: Determine the equation of a circle centred at the origin given its area or circumference.
• 446i: Determine an area or perimeter of a portion of an annulus, given the equations of the circles centred at the origin.
• 446j: Use trigonometry to solve problems involving unknown points on a circle centred at the origin.
• 446: Exam Practice: Graphs of circles centred at the origin

Tutorial Videos

Equation of a Circle

Corbett Maths Equation of a Circle

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Equation of a circle: Videos & practice

Activities & Resources

• Pixi Maths
  • Equations of Circles and Their Tangents ppt (Slides 1-8)
  • Equations of Circles Activity
• Andy Lutwyche
  • Codebreaker 2
• Acute Learning Problem Pairs
  • Level 2 FM: Equation of a Circle as PowerPoint or PDF
• headofslytherin
  • General formula for a circle✦

Worksheets

• Dr Austin Maths
  • Radius and Diameter of a Circle Fill in the Blanks (Word | PDF | Answers)
  • Practice Strips (Word | PDF | Answers)
  • Fill In The Blanks (Word | PDF | Answers)
  • Geometry Problems Practice Strips (Word | PDF | Answers)
• Corbettmaths
  • Equation of a Circle Worksheet & Solutions
  • Equation of a Circle (Centre is the Origin) AQA Level 2 Practice Questions (Q6 Onwards) & Solutions

Dr Frost Video

Key Skill – Use the equation of a circle to find its centre and radius.

K785: Use the Equation of a Circle to Find Its Centre and Radius.

Key Skill – Find the equation of a circle using the endpoints of the diameter.

K787: Find the Equation of a Circle Using the Endpoints of the Diameter.

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

• 496a: Determine the equation of a circle, not centred at the origin, given its centre and an integer radius.
• 496b: Determine the equation of a circle, not centred at the origin, which is drawn.
• 496c: Write down the equation of a circle, not centred at the origin, given its centre and radius as a surd.
• 496d: Determine the centre and radius of a circle given in completed square form.
• 496e: Determine the equation of a circle, with given centre and radius/diameter, in expanded form.
• 496f: Plot the graph of a circle not centred at the origin.
• 496g: Appreciate that a point on the circumference of a circle, not centred at the origin, satisfies its equation.
• 496h: Determine the intercepts of circle given its equation.
• 496i: Determine a constant in the equation of a circle given a point on the circumference.
• 496j: Determine the equation of a circle using the endpoints of the diameter.
• 496k: Complete the square to determine the centre and radius of a circle.
• 496m: Determine the equation of a circle using simple reasoning to establish the centre or radius of the circle.
• 496: Exam Practice: Coordinate geometry on circles and the equation of a circle with any centre

Tutorial Videos

Equation of a Tangent to a Circle – Corbettmaths

Corbett Maths Equations of a Tangent to a Circle

Activities & Resources

• Acute Learning Problem Pairs
  • Level 2 FM: Equation of a Tangent to a Circle as PowerPoint or PDF
• Pixi Maths
  • Equations of Circles and Their Tangents ppt (Slides 9-15)
• BossMaths
  • A16b Equation of a Tangent to a Circle✦
• Jo Morgan
  • Equations of Tangents to Circles✦

Worksheets

• Corbettmaths
  • Equation of a Tangent to a Circle Practice Questions & Solutions
  • Equation of a Tangent to a Circle AQA Level 2 Practice Questions & Solutions
• Mr Thompson Maths
  • Tangent to a circle – scaffolded worksheet✦
• 1st Class Maths
  • Equation of a tangent exam style questions✦ (solutions✦)
• Mr Morley Maths
  • Equation of a Tangent to a Circle: Notes jotter/worksheet

Dr Frost Video

Key Skill – Find the equation of a tangent to a circle.

K579: Find the Equation of a Tangent to a Circle.

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 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.
• 496p: Determine the tangent to a circle centred at any point.
• 496w: Determine the equation of a tangent to a circle that is parallel to another given tangent.
• 447: Exam Practice: Equation of a tangent to a circle centred at the origin
• 496: Exam Practice: Coordinate geometry on circles and the equation of a circle with any centre

Tutorial Videos

Recognising Graphs

Recognising Graphs by Andy Lutwyche

GCSE Maths – Graph Recognition – Linear, Quadratic, Cubic, Exponential, Reciprocal, Circles Higher

GCSE Maths – Graph Recognition – Linear, Quadratic, Cubic, Exponential, Reciprocal, Circles Higher by ukmathsteacher

Cubic and Reciprocal Graphs

Cubic and Reciprocal Graphs by Maths Genie

Online Platforms (with Videos & Exercises)

Activities & Resources

• Andy Lutwyche
  • Defuse The Bomb – (Linear and Non-Linear)
  • Matching
  • The Asymptotes Baseball Team
  • Non-Linear Codebreakers
  • Recognising Graphs
  • Sketching Given An Equation
  • Types
  • Which Equation Goes With Which ?
• Math = Love (Sarah Carter)
  • Parent Function posters
  • 12 Basic Functions Challenge
  • 12 Basic Functions posters
  • Linear Frayer Model
  • Linear Auction Activity
  • Two Truths & a Lie: Graph Shapes
  • Parent Functions Card Sort
  • Linear vs Non-linear Card Sort
  • Algebra Aerobics Posters
  • Linear vs Non-Linear Practice
  • Linear vs Non-linear Card Sort
  • 12 Basic Functions Challenge
• Don Steward
  • Muddled Rules and Graphs
• Transum
  • Name that Graph
  • Graph Equation Pairs
• Go Teach Maths
  • Identifying Non-Linear Graphs
• MathsPad
  • Using and Understanding Graphs True or False✦
• Jo Morgan
  • Exploring Graphs with Desmos✦
• Peter Mattock
  • Recognising graphs matching activity✦
• alexwoodforth1
  • Recognising graphs – Higher GCSE✦
• BossMaths
  • Graphs of linear functions, quadratic functions, simple cubic functions, and the reciprocal function – full lesson✦
• CP3 Maths (cparkinson3)
  • Curve Sketching✦

Worksheets

• Dr Austin Maths
  • Match-Up (Word | PDF✦ | Answers✦)
  • Finding Equations of Exponential Practice Grid (Word | PDF | Answers)
• Pixi Maths
  • Quadratic, Cubic and Reciprocal Graphs RAG (Q7 Onwards)
• Mathshelper (Jon Stone)
  • Polynomial Sketching
• Physics & Maths Tutor
  • Sketching Graphs – Linear, Quadratic, Cubic and Reciprocal: Notes · Worksheet · Solutions
  • Sketching Graphs – Exponential and Trigonometric (H): Notes · Worksheet · Solutions
• Mr Morley Maths
  • Sketching Graphs of 1/x, x^3, a^x: Notes jotter/worksheet

Dr Frost Video

Key Skill – Recognise the shape of quadratic, cubic, reciprocal and exponential graphs.

K613: Recognise the Shape of Quadratic, Cubic, Reciprocal and Exponential Graphs.

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

• 426a: Sketch the basic quadratic (y=x²), cubic (y=x³), reciprocal (y=1/x) and exponential (y=a^x) graphs.
• 426b: Recognise the shape of simple quadratic, cubic, reciprocal and exponential graphs.
• 426c: Recognise graphs for directly proportional and inversely proportional relationships.
• 427a: Use the shape of more general linear, quadratic, cubic, reciprocal and exponential graphs and match to a given equation.
• 427b: Identify a particular quadratic graph amongst other quadratic graphs.
• 427c: Identify a particular cubic graph amongst other cubic graphs.
• 427d: Identify a particular reciprocal graph amongst other reciprocal graphs.
• 427e: Identify a particular exponential graph amongst other exponential graphs.
• 424a: Identify the y-intercept of an exponential graph given in the form y=a^x
• 424b: Identify the y-intercept of an exponential graph given in the form y=ka^x
• 424e: Identify the y-intercept of an exponential graph given in the form y=ka^x +b or y=ka^-x + b
• 424f: Identify asymptotes given an exponential graph.
• 424g: Identify asymptotes given the equation of an exponential graph of the form y=ka^x + b for positive integer a
• 424h: Identify asymptotes given the equation of an exponential graph of the form y=ka^-x + b
• 424i: Identify asymptotes given the equation of an exponential graph of the form y=ka^x + b for fractional a
• 493a: Identify the x and y intercepts of a more general reciprocal function.
• 493b: Identify the equation of the vertical asymptote of a more general reciprocal function.
• 493c: Identify the equation of the horizontal asymptote of a more general reciprocal function.
• 493d: Sketch reciprocal functions given in the form y = a + b/cx ± d
• 493e: Sketch graphs given in the form y = a/x² (not yet active)
• 493f: Sketch reciprocal functions given in the form y = ax ± b/cx ± d
• 493g: Determine coefficients in a more general reciprocal function that lead to a given x or y intercept.
• 493h: Determine coefficients in a more general reciprocal function that lead to a given vertical or horizontal asymptote.
• 424: Exam Practice: Properties of exponential graphs
• 426: Exam Practice: Recognising the shape of basic forms of cubic, reciprocal and exponential graphs based on their equations
• 427: Exam Practice: Recognising the shape of more complex forms of quadratic, cubic, reciprocal and exponential graphs based on their equations
• 493: Exam Practice: Graphs of more general reciprocal functions

Further Practice

• Practise Questions (may include angles in a triangle and on a straight line)

Tutorial Videos

Solving Quadratic Equations Graphically – Corbettmaths

Corbett Maths Solving Quadratic Equations Graphically

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Solving equations graphically: Videos & practice

Activities

• Pixi Maths
  • Parabolas, Roots & Turning Points ppt
• Math = Love (Sarah Carter)
  • Solving Equations Graphically template
  • Solving Quadratics by Graphing
• Transum
  • Using Graphs
• Goal Free Problems
  • Higher Algebra set Q14
• Go Teach Maths
  • Solving Quadratic Equations by Intersection
• BossMaths
  • A17c Solving Linear Equations Using Graphs
• @nishadealwis
  • Solving quadratic equations using graphs✦ (original by @nishadealwis; copy hosted on Jo Morgan’s Drive)

Worksheets

• Dr Austin Maths
  • Solving Equations Graphically Practice Grid (Word | PDF✦ | Answers✦)
• Corbettmaths
  • Solving Quadratics Graphically Worksheet & Solutions
• Pixi Maths
  • Parabolas, Roots and Turning Points RAG
• Miss Konstantine (MathsHKO)
  • Solving Using a Graph
• Mathsaurus (Kevin Olding)
  • Plotting graphs and solving related equations (exam questions)
• Mr Morley Maths
  • Solving Quadratic Equations from Graphs: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
• Pret Homework (Rachel Mahoney)
  • Solving Equations Graphically (Rachel Mahoney, pptx)

Dr Frost Video

Key Skill – Draw a horizontal line to find approximate solutions to an equation.

K608: Draw a Horizontal Line to Find Approximate Solutions to an Equation.

Key Skill – Draw a non horizontal line to find approximate solutions to an equation.

K609: Draw a Non Horizontal Line to Find Approximate Solutions to an Equation.

Dr Frost Slides & Activities

• Slides & Worksheet

Topic Test

• 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

• 421a: Determine the number of solutions to f(x)=g(x) given graphs of y=f(x) and y=g(x)
• 421c: Determine the range of values for k in f(x)=k given the graph of y=f(x) and the number of solutions.
• 421d: Determine approximate roots to a quadratic equation using a graph.
• 421e: Solve simultaneous equations/systems of equations using graphical methods, where one is linear and the other is quadratic or a given curved graph.
• 421f: Draw a horizontal line to determine approximate solutions to a quadratic equation.
• 421g: Draw a non-horizontal line to determine approximate solutions to a quadratic equation.
• 421i: Draw a straight line to determine approximate solutions to a cubic equation.
• 421j: Draw a straight line to determine approximate solutions to a more general equation.
• 421: Exam Practice: Using graphs to count solutions and find approximate solutions to equations

Further Practice

• Practise Questions

Tutorial Videos

Solving Quadratics Graphically 2 – Corbettmaths

Corbett Maths Solving Quadratics Graphically 2

Online Platforms (with Videos & Exercises)

Activities

• Andy Lutwyche
  • Trapeze Artist Quadratic Conundrum

Worksheets

• Owen 134866 worksheets and ppt (TES account required)
• Mathshelper (Jon Stone)
  • Graphical Solution Of Equations

Dr Frost Video

Key Skill – Draw a line to find approximate solutions to an equation (rearrangement required).

K610: Draw a Line to Find Approximate Solutions to an Equation (Rearrangement Required).

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

• 421b: Determine the number of solutions to an equation that can be rearranged to f(x)=g(x) given graphs of y=f(x) and y=g(x)
• 421h: Draw a line to determine approximate solutions to a quadratic equation requiring rearrangement.
• 421: Exam Practice: Using graphs to count solutions and find approximate solutions to equations

Further Practice

• Practise Questions (may include angles in a triangle)

Tutorial Videos

Instantaneous Rate of Change – Corbettmaths

Corbett Maths Instantaneous Rate of Change

Average Rate of Change – Corbettmaths

Corbett Maths Average Rate of Change

Online Platforms (with Videos & Exercises)

Activities

• Go Teach Maths
  • Estimating Gradient
• BossMaths
  • A15a Calculating or Estimating Gradients of Graphs✦
• Jo Morgan
  • Finding the gradient of a curve using a tangent✦
• Owen134866
  • Gradient on a curved graph✦
• CIMT MEP
  • Using Graphs✦
• @DJUdall
  • Graphing Activity✦

Worksheets

• Dr Austin Maths
  • Estimating the Gradient of a Curve Practice Grid (Word | PDF✦ | Answers✦)
• Corbettmaths
  • Rates of Change Practice Questions & Solutions
  • Rates of Change Worksheet & Solutions
• Physics & Maths Tutor
  • Gradients and Areas of Graphs in Context (H): Notes · Worksheet · Solutions
• Access Maths
  • Gradient of a Curve Fluency & Reasoning Sheet
• Collins
  • Gradient of a Curve: Textbook extract✦

Dr Frost Video

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

• 461a: Estimate the gradient of a curve between two given points (average rate of change). (not yet active)
• 461b: Estimate the gradient of a curve at a given point (instantaneous rate of change).
• 461c: Estimate the gradient of a curve in context as an average rate of change of a quantity. (not yet active)
• 461d: Estimate the gradient of a curve in context as an instantaneous rate of change of a quantity. (not yet active)
• 461e: Estimate the average speed between two times from a curved distance-time graph. (not yet active)
• 461f: Estimate a velocity at a given time from a curved distance-time graph. (not yet active)
• 461g: Estimate the average acceleration between two times from a curved speed-time graph. (not yet active)
• 461h: Estimate the acceleration at a given time from a curved speed-time graph. (not yet active)
• 461i: Interpret the gradient of a curve in contexts outside of speed-time graphs. (not yet active)
• 461: Exam Practice: Estimating the gradient of a curve

Further Practice

• Practise Questions