MA03-02 Maths Watch
Square roots, cube roots and higher roots
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In this lesson
In this video you'll learn about square roots, cube roots and higher roots for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to find square roots, cube roots and higher (e.g. fourth) roots as the inverse of the corresponding power, including undoing a square at the end of a calculation, and estimate a root that isn't exact by bounding it between two known values.
What it covers
- 0:55 Square roots, cube roots and higher roots
- 3:25 Higher roots
- 5:13 Undoing a square
- 8:11 Estimating
- 10:13 Exam technique
- 12:46 What's next
Key words
For: AQA GCSE 8300, Edexcel GCSE 1MA1, Edexcel IGCSE 4MA1, Eduqas GCSE C300, Cambridge IGCSE 0580, OCR GCSE J560
On the specification
| Board | Spec | Statement |
|---|---|---|
| AQA GCSE 8300 | N6 | Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 |
| Edexcel GCSE 1MA1 | N6 | Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 |
| Edexcel IGCSE 4MA1 | F1.4B | Calculate squares, square roots, cubes and cube roots |
| Eduqas GCSE C300 | FN6 | Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 |
| Eduqas GCSE C300 | HN6 | Use positive integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5; estimate powers and roots of any given positive number |
| Cambridge IGCSE 0580 | C1.3 | Powers and roots |
| Cambridge IGCSE 0580 | E1.3 | Powers and roots |
| OCR GCSE J560 | 3.01b | Calculate positive integer powers and exact roots. Recognise simple powers of 2, 3, 4 and 5. |
For teachers
This GCSE Maths lesson teaches square roots, cube roots and higher roots. By the end, students should be able to find square roots, cube roots and higher (e.g. fourth) roots as the inverse of the corresponding power, including undoing a square at the end of a calculation, and estimate a root that isn't exact by bounding it between two known values. It works through three worked examples and the mistakes examiners report.