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Mathematics Teaching Self-evaluation Tools

You are viewing a limited version of the NCETM’s self-evaluation tools. Any answers you save during this session will be removed after seven days. Log in or sign up to view, and use, the full version of the tools.
Send to printer Here you can see a summary of the areas in which you are confident and those in which you are less confident; there are some ideas and suggestions which may help you in your professional learning.

Mathematical processes and applications

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Numbers and the number system

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Numbers and the number system

Showing all next steps for the selected topic. Click on a question to show more information.
  1. explain and illustrate the definitions of natural number, integer, directed number, rational number, irrational number, surd and real number?(show/hide all)
  2. explain why sometimes only a fraction, surd or irrational number can express an exact answer?(show/hide all)
  3. multiple, common multiple and least (lowest) common multiple(show/hide all)
  4. factor, common factor and highest common factor?(show/hide all)
  5. prime factor decomposition?(show/hide all)
  6. squares and square roots (including negative square roots), and their index notation?(show/hide all)
  7. cubes and cube roots, and their index notation?(show/hide all)
  8. negative and fractional index notation?(show/hide all)
  9. index laws for multiplication and division of integer powers?(show/hide all)
  10. the special case of index 0?(show/hide all)
  11. how to represent a number in standard form?(show/hide all)
  12. how to calculate using numbers in standard form using real-life examples?(show/hide all)
  13. the relationship between fractions and recurring and terminating decimals?(show/hide all)
  14. which fractions produce terminating decimals?(show/hide all)
  15. how to convert a recurring decimal into a rational fraction?(show/hide all)
  16. truncation on a calculator?(show/hide all)

If you are registered and logged in, you can note down and save your own ideas, as well as a copy of these results: these 'snapshots' can be viewed in your Personal Learning Space. If you aren't registered or logged in, your saved answers will disappear after seven days. Log in or register to access the Self-evaluation tools in full.