Unit Award Scheme

shown knowledge of

1. how to expand brackets and collect like terms

demonstrated the ability to

2. expand and simplify an expression such as (y² − 2y + 3)(2y − 1) − 2(y³ − 3y² + 4y − 2)

3. expand and simplify an expression such as (5x + 2)³

4. use Pascal’s triangle to work out the coefficient of x^n in the expansion of an expression such as (3 + 2x)⁵

5. factorise an expression such as (2x + 3)² − (2x − 5)² fully

6. factorise an expression such as 15x² − 34xy − 16y²

7. factorise an expression such as x⁴ − 25x² fully

8. use + - x ÷ for at least three algebraic fractions with denominators being numeric, linear or quadratic

9. rearrange an expression such as 1/f=1/u+1/v to make v the subject

10. use the factor theorem to factorise expressions such as x³ − 2x² − 5x + 6 and show that a given linear expression is a factor of a polynomial

11. use completing the square to find the values of a,b and c in at least two expressions such as 2x² + 6x + 7 = a(x + b)² + c.