Prior Content: Sequences, Substitution, Drawing & Using Graphs
Possible Next Steps: N/A
Contents
- 0.1 Solving Equations by Trial & Improvement
- 1.1 Simple Iteration Formulae
- 1.2 Complex Iteration Formulae
- 2.1 Using Iterations to Solve Equations (& Cobweb Diagrams)
- Whole Topic Summary Resources (Including Past Paper Questions)
0.1 Solving Equations by Trial & Improvement
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Trial & Improvement
Online Platforms (with Videos & Exercises)
Activities & Resources
- Don Steward
- The Chalkface
- Trial and Improvement Big Things: PowerPoint
- How Many Bottles: PowerPoint
- Transum
- Go Teach Maths
Worksheets
- Corbettmaths
- Trial & Improvement Practice Questions, Solutions & Video Solutions
- Trial & Improvement Worksheet & Solutions
- Mathshelper (Jon Stone)
Dr Frost Resources
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
- 439a: Use trial and improvement to approximate a solution to an equation given in the form f(x)=k (not yet active)
- 439b: Use trial and improvement to approximate a solution to an equation formed from a given context. (not yet active)
- 439: Exam Practice: Trial and improvement to approximate a solution to an equation
Extension Materials
1.1 Simple Iteration Formulae
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Iteration
Corbett Maths Iterative Processes
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Don Steward
Worksheets
- Corbettmaths
- Iterations Practice Questions & Solutions
- Pixi Maths
- Physics & Maths Tutor
Dr Frost Resources
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
- 440a: Use an iterative formula to calculate a value.
- 440b: Use an iterative formula in context to calculate a value. (not yet active)
- 440c: Write an iterative formula from a given context.
- 440d: Determine an unknown in an iterative formula using two given values.
- 440: Exam Practice: General iterative processes
Extension Materials
1.2 Complex Iteration Formulae
Teaching Videos, Exercises & Activities
Tutorial Videos
Iteration – GCSE Higher Maths by 1st Class Maths
Iterations by The GCSE Maths Tutor
Iteration by Maths Genie
Online Platforms (with Videos & Exercises)
Activities & Resources
Worksheets
Dr Frost Resources
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
Extension Materials
2.1 Using Iterations to Solve Equations (& Cobweb Diagrams)
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
9-1 GCSE Maths Iteration (Solving Equations using an iterative formula) by ukmathsteacher
A-Level Maths: I2-02 Locating Roots: Cobweb and Staircase Diagrams by TLMaths
Edexcel A level Maths: 10.2 Iteration (Cobweb and Staircase Diagram, Convergence/Divergence) by Zeeshan Zamurred
Online Platforms (with Videos & Exercises)
Activities & Resources
- Don Steward
- Solving Cubic Equations Iteratively✦
- Iteration (presentation)✦ (original by Don Steward; copy hosted on Jo Morgan’s Drive)
- Transum
- BossMaths
- Dr Frost
- MathsPad
Worksheets
- Miss Konstantine (MathsHKO)
- Maths Genie
- Iteration: Booklet · Worksheet · Solutions · Lesson · Topic page
- Naiker Maths
- Solving Equations Using Iteration: Worksheet
- MME
- Corbettmaths
- 1st Class Maths
- Mr Morley Maths
- Iteration: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
Dr Frost resources
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
- 441a: Rearrange an equation into the form x = g(x) (‘fixed point iteration’) for subsequent use in an iterative method.
- 441b: Appreciate the significance of a sign change in identifying an interval for the root of an equation.
- 609g: Use a cobweb or staircase diagram to determine whether an iterative formula will converge to the root. (not yet active)
- 441: Exam Practice: Fixed point iteration to approximate a solution to an equation
- 609: Exam Practice: (Fixed point) iteration on more advanced functions and use of cobweb and staircase diagrams
Further Practice
- Practise Questions
EXTENSION MATERIALS
Enrichment Video
Veritasium: This equation will change how you see the world (the logistic map)
Whole Topic Summary Resources (Including Past Paper Questions)
Download Iterations PPQs as WW Powerpoint for AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic resources
Worksheets
- MathedUp
- Iteration: Worksheet · Practice · Quiz · Exam · Question Gallery
- Physics & Maths Tutor
- crashMATHS
Activities
- Go Teach Maths
External
- AQA (All About Maths)
- Bridging the Gap Pocket 4: Iterative Methods for Solving Equations · Word (AQA KS3-4 Bridging the Gap)
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.