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.
Stock Market Data Analysis Project
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.
GCSE Solving Quadratics By Factorisation
Includes forming quadratic equations from context.
Covers use of the quadratic formula (and its proof).
GCSE Completing the Square
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.
Year 9 to 10 Algebra Bridging Exercise
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.