MA12-07 Maths Watch
Solving Equations by Iteration
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In this lesson
In this video you'll learn about solving by iteration for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to find an approximate solution to an equation by repeatedly applying a given iterative formula, and justify that a root lies in a given interval using a change of sign.
What it covers
- 1:36 Solving by iteration: proving a solution is there
- 4:17 Running the loop
- 7:12 The shortcut that is not iteration
- 8:24 Your turn now, on a formula you have not seen yet
- 10:05 Exam technique
- 13:46 What's next
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | A20 | Find approximate solutions to equations numerically using iteration |
| Edexcel GCSE 1MA1 | A20 | Find approximate solutions to equations numerically using iteration |
| Eduqas GCSE C300 | HA20 | Find approximate solutions to equations numerically using iteration, e.g. trial and improvement, decimal search or interval bisection |
| OCR GCSE J560 | 6.03e | Find approximate solutions to equations using systematic sign-change methods (for example, decimal search or interval bisection) when there is no simple analytical method of solving them. Specific methods will not be requested in the assessment. |
For teachers
This GCSE Maths lesson teaches solving equations by iteration. By the end, students should be able to find an approximate solution to an equation by repeatedly applying a given iterative formula, and justify that a root lies in a given interval using a change of sign. It works through two worked examples and the mistakes examiners report.