1.02b b) Be able to use and manipulate surds, including C1 Indices and (c) use simple properties of surds such as , including – rationalising the denominator. Surds (a), (b) & (c) rationalising denominators of the form Learners should understand and use the equivalence of surd and index notation. 1.02c c) Be able to solve simultaneous equations in two C1 Polynomials (e) solve by substitution a pair of simultaneous equations of – variables by elimination and by substitution, including (e) which one is linear and one is quadratic one linear and one quadratic equation. The equations may contain brackets and/or fractions. e.g. and and 1.02d d) Be able to work with quadratic functions and their C1 Polynomials Polynomials (c) find the discriminant of a quadratic – graphs, and the discriminant (D or) of a quadratic (c) polynomial and use the discriminant, e.g. to determine the function, including the conditions for real and number of real roots of the equation repeated roots. Coordinate Geometry and Graphs (g) understand the i.e. Use the conditions: relationship between a graph and its associated algebraic 1. real distinct roots C1 Coordinate equation – 2. repeated roots Geometry and 3. roots are not real Graphs (g) & (h) Coordinate Geometry and Graphs (h) sketch curves with to determine the number and nature of the roots of a equations of the form (iii) where and are constants a, b c quadratic equation and relate the results to a graph of the quadratic function.
1.02b b) Be able to use and manipulate surds, including rationalising the denominator. Learners should understand and use the equivalence of surd and index notation. C1 – Indices and Surds (a), (b) & (c) (c) use simple properties of surds such as , including rationalising denominators of the form 1.02c c) Be able to solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation. The equations may contain brackets and/or fractions. e.g. and and C1 – Polynomials (e) (e) solve by substitution a pair of simultaneous equations of which one is linear and one is quadratic 1.02d d) Be able to work with quadratic functions and their graphs, and the discriminant (D or) of a quadratic function, including the conditions for real and repeated roots. i.e. Use the conditions: 1. real distinct roots 2. repeated roots 3. roots are not real to determine the number and nature of the roots of a quadratic equation and relate the results to a graph of the quadratic function. C1 – Polynomials (c) C1 – Coordinate Geometry and Graphs (g) & (h) Polynomials (c) find the discriminant of a quadratic polynomial and use the discriminant, e.g. to determine the number of real roots of the equation Coordinate Geometry and Graphs (g) understand the relationship between a graph and its associated algebraic equation Coordinate Geometry and Graphs (h) sketch curves with equations of the form (iii) where a, b and c are constants
360173-mapping-guide-legacy-as-and-a2-units-7890-to-h240.docx