Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them. # 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. 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.

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## Algebra

1. the words expression, formula, equation and identity?(show/hide all)
2. the nth term of an arithmetic sequence and the nth term of a geometric sequence?(show/hide all)
3. how to identify and cancel common algebraic factors in rational expressions?(show/hide all)
4. how to change the subject of a formula where the subject appears twice or where a power of the subject appears?(show/hide all)
5. situations in which pupils can generate formulae?(show/hide all)
6. know how to find the gradient of lines given by equations of the form y = mx + c?(show/hide all)
7. find the gradients of parallel lines and lines perpendicular to them?(show/hide all)
8. know how to deduce and graph inverse functions?(show/hide all)
9. find the exact solution of a pair of linear simultaneous equations by eliminating one variable?(show/hide all)
10. find an approximate solution of a pair of linear simultaneous equations by graphical methods?(show/hide all)
11. solve exactly, by elimination, one linear and one quadratic equation?(show/hide all)
12. solve quadratic equations by factorisation?(show/hide all)
13. solve quadratic equations by completing the square?(show/hide all)
15. how to check the answers to questions that involve solving quadratic equations?(show/hide all)
16. examples of real−life relationships that are directly proportional and can relate these relationships to graphical representations?(show/hide all)
17. examples of real−life relationships that are in inverse proportion and can relate these relationships to graphical representations?(show/hide all)
18. find the length of the line segment AB, given the coordinates of A and B?(show/hide all)
19. find points that divide a line in a given ratio, using the properties of similar triangles?(show/hide all)
20. explain and exemplify the use of the inequality symbols?(show/hide all)
21. solve simple linear inequalities in one variable?(show/hide all)
22. solve simple linear inequalities in two variables?(show/hide all)
23. solve several linear inequalities in two variables and find the solution set?(show/hide all)
24. recognise and understand the key features of cubic graphs, the reciprocal graph and simple exponential graphs?(show/hide all)
25. recognise and understand the key features of the basic trigonometric functions y = sin x, y = cos x and y = tan x?(show/hide all)
26. apply simple transformations to graphs of y = f(x)?(show/hide all)
27. why the quadratic relation x² + y² = r² represents a circle with radius r, centred on the origin?(show/hide all)
28. why two simultaneous equations representing a straight line and a circle can have 0, 1 or 2 points of solution?(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.