algebra

algebra

1. sequences, generating next terms, nth term

2. gradient and intercept of y=mx+c

3. gradient of parallel and perpendicular lines

4. implicit function, straight line graphs

5. solve 2 simultaneous equations

6. real life graphs, functions& straight line graphs

7. equation, formula and expression

8. collecting like terms

9. expand single brackets

10. factorise to get 1 bracket

11. simplify rational expressions

    • using cancelling
    • adding
    • subtracting
    • multiplying

12. expand double brackets

    • FOIL

13. factorise quadratic expression

    • (a=1)
    • to 2 brackets
    • including DOTS

14. set up and solve linear equations

    • including brackets
    • (a) unknown on 1 side
    • (b) unknown on both sides
    • rearrange formulae

15. show inequalities on number line

    • solve inequalities
    • identify area on graph using inequalities
    • find area on a graph using given inequalities

16. plot quadratic graphs

    • solve quadratic equations graphicallyy
    • trial and improvement

17. simultaneous equations

    • solve a pair of linear simultaneous equations

18. plot and recognise

    • cubic
    • reciprocal
    • exponential
    • circular functions
    • use the graphs of these functions to find approx. solutions to equations