Note that we cover the second half of the first resource listed below (where we covered solving by factorising earlier in the year). Specific learning objectives this time:
(a) 'Complete the square' to put a quadratic in the form (x + a)2 + b
(b) Extension: Complete the square where the coefficient of the x2 term is not 1.
(c) Solve quadratics by completing the square.
(d) Extension: Identify the minimum/maximum point of a quadratic by completing the square.
(e) Solve quadratic equations by use of the quadratic formula.
A project ended for higher-ability GCSE students that (a) gives a basic overview of financial markets (b) introduces important spreadsheet skills and (c) tasks students with analysing stock market data and comparing to conventional savings accounts.
Includes a link to a Google Sheet with the data and tasks. The 'solutions for teachers' PowerPoint contains a link to the fully completed task.
Includes forming quadratic equations from context.
Covers use of the quadratic formula (and its proof).
Covers all aspects of the new GCSE 9-1 syllabus, including finding turning points, and dealing with quadratics where the coefficient of x^2 is not 1.
a) Solve quadratics using graphical methods.
b) Sketch parabolas from quadratic equations, considering intercepts with the axis.
c) Find the minimum or maximum point of a quadratic by completing the square.
A mixture of different algebraic topics: expanding and simplifying, changing the subject, algebraic fractions (involving integer denominators), cross-multiplying, multiplying terms. Used at Tiffin for the end of Year 9 to help with the transition to GCSE.