Prior Content: Substitution, Exact Trig & Graphs, Linear Graphs & Gradients, Solving Quadratics, Circles & Sectors, Circle Theorems
Possible Next Steps: Graphical Transformations, Functions (Graph Section), Completing the Square, Quadratic Inequalities, Differentiation, Simultaneous Equations, Iterations, Time-Series
Contents
- 1.1.1 Using a Table of Values to Plot Quadratics
- 1.1.2 Sketching a Quadratic Using Critical Values
- 1.2 Using a Table of Values to Plot Other Non-Linear Graphs
- 2.1 The Basic Equation of a Circle
- 2.2 The General Equation of a Circle
- 3.1 Recognising Different Shapes of Graphs
- 4.1 Using Pre-Drawn Graphs to Estimate Solutions to Equations (No Rearranging)
- 4.2 Using Pre-Drawn Graphs to Estimate Solutions to Equations (With Rearranging)
- 5.1 Drawing & Measuring Tangents
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1.1 Using a Table of Values to Plot Quadratics
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Drawing Quadratics
Corbett Maths Change of Sign
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Plotting Quadratic Graphs Practice Grid (Editable Word | PDF | Answers)
- Plotting Quadratic Graphs Create-a-Picture (Editable Word | PDF | Answers)
- Corbettmaths
- Drawing Quadratics Practice Questions & Solutions
- Drawing Quadratics Worksheet & Solutions
Dr Frost Resources
Dr Frost Video
K414: Complete a Table of Values for 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
- 414 Complete a Table of Values for a Quadratic Graph.
- 415 Plot a Quadratic Graph.
- Combination of All
Curved Graphs Key Skills Section (for selecting more than one)
Extension Materials
1.1.2 Sketching Quadratics Using Critical Values
Teaching Videos, Exercises & Activities
Dr Frost Resources
Extension Materials
1.2 Using a Table of Values to Plot Other Non-Linear Graphs
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Cubic Graphs
Corbett Maths Exponential Graphs
Corbett Maths Reciprocal Graphs
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
Worksheets
- Dr Austin Maths
- Plotting Linear and Non-Linear Graphs Revision Practice Grid (Editable Word | PDF | Answers)
- Plotting Non-Linear Graphs Create-a-Picture (Editable Word | PDF | Answers)
- Plotting Cubic Graphs Practice Grid (Editable Word | PDF | Answers)
- Plotting Reciprocal Graphs Practice Grid (Editable Word | PDF | Answers)
- Plotting Harder Non-Linear Graphs Practice Grid (Editable Word | PDF | Answers)
- Exponential Functions and Graphs Practice Strips (Editable 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
Dr Frost Resources
Dr Frost Video
K416: Plot a Cubic Graph.
K607: Find the Values of p and q in the Exponential Function y=pqx.
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
- 416 Plot a Cubic Graph.
- K203c: Complete a table of values for an exponential graph.
- 607 Find the Values of p and q in the Exponential Function y=pqx.
- Combination of All
Curved Graphs Key Skills Section (for selecting more than one)
Extension Materials
2.1 The Basic Equation of a Circle
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Equation of a Circle
Online Platforms (with Videos & Exercises)
Activities & Resources
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 Frost Resources
Dr Frost Video
K417: Plot the Graph of a Circle Centred at the Origin.
K418: Find an Equation of a Circle Centred at the Origin Which is Drawn.
K419: Find an Equation of a Circle Centred at the Origin Given Its Radius.
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
- 417 Plot the Graph of a Circle Centred at the Origin.
- 418 Find an Equation of a Circle Centred at the Origin Which is Drawn.
- 419 Find an Equation of a Circle Centred at the Origin Given Its Radius.
- 420 Find the Radius of a Circle Given its Equation.
- Combination of All
Curved Graphs Key Skills Section (for selecting more than one)
Extension Materials
2.2 The General Equation of a Circle
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Equation of a Circle
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
Worksheets
- Dr Austin Maths
- Radius and Diameter of a Circle Fill in the Blanks (Editable Word | PDF | Answers)
- Equation of a Circle Practice Strips (Editable Word | PDF | Answers)
- Equation of a Circle Fill In The Blanks (Editable 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 Resources
Dr Frost Video
K785: Use the Equation of a Circle to Find Its Centre and Radius.
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
- 700 Find an Equation of a Circle, Not Centred at the Origin, Which is Drawn (FM).
- 701 Find an Equation of a Circle, Not Centred at the Origin, Given Its Radius and Centre (FM).
- 702 Plot the Graph of a Circle Not Centred at the Origin (FM).
- 785 Use the Equation of a Circle to Find Its Centre and Radius.
- 786 Write Down the Equation of a Circle Given the Centre and Radius.
- 787 Find the Equation of a Circle Using the Endpoints of the Diameter.
- Combination of All
Curved Graphs Key Skills Section (for selecting more than one)
Extension Materials
3.1 Recognising Different Shapes of Graphs
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
- Dr Austin Maths
- Recognising Graphs Match-Up (Editable Word | PDF | Answers)
- Pixi Maths
- Quadratic, Cubic and Reciprocal Graphs RAG (Q7 Onwards)
Dr Frost resources
Dr Frost Video
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
- 613 Recognise the Shape of Quadratic, Cubic, Reciprocal and Exponential Graphs.
Curved Graphs Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions (may include angles in a triangle and on a straight line)
EXTENSION MATERIALS
4.1 Using Pre-Drawn Graphs to Estimate Solutions to Equations (No Rearranging)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Solving Quadratic Equations Graphically
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
Worksheets
- Dr Austin Maths
- Solving Equations Graphically Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Pixi Maths
Dr Frost resources
Dr Frost Video
K608: Draw a 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
- 374 Solve Simultaneous Equations Using Graphical Methods.
- 608 Draw a Horizontal Line to Find Approximate Solutions to an Equation.
- 609 Draw a Non Horizontal Line to Find Approximate Solutions to an Equation.
- Combination of All
Simultaneous Equations Key Skills Section (for selecting more than one)
Curved Graphs Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions
EXTENSION MATERIALS
4.2 Using Pre-Drawn Graphs to Estimate Solutions to Equations (With Rearranging)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Solving Quadratics Graphically 2
Online Platforms (with Videos & Exercises)
Activities
Worksheets
- Owen 134866 worksheets and ppt (TES account required)
Dr Frost resources
Dr Frost Video
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
- 610 Draw a Line to Find Approximate Solutions to an Equation (Rearrangement Required).
Curved Graphs Key Skills Section (for selecting more than one)
Further Practice
- Practise Questions (may include angles in a triangle)
EXTENSION MATERIALS
5.1 Drawing & Measuring Tangents
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Instantaneous Rate of Change
Corbett Maths Average Rate of Change
Online Platforms (with Videos & Exercises)
Activities
Worksheets
- Dr Austin Maths
- Estimating the Gradient of a Curve Practice Grid (Editable Word | PDF | Answers)
- Corbettmaths
- Rates of Change Practice Questions & Solutions
- Rates of Change Worksheet & Solutions
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
No Key Skills Yet
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Drawing & Using Graphs PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)