13 November 2012

13 November, S2 - 10/M1*

Title: Solving Quadratics
Challenge Question
How many solutions do you expect for a quadratics?

Learning Objectives
Beginning
To be able to solve quadratic equations from their graphs.
Developing
To be able to factorise and solve a quadratic expressions of the form x2 + bx + c = 0
Mastering
To be able to explain how to factorise and solve quadratic expressions of the form ax2 + bx + c (non-monic quadratics) 

Resources

Follow these links, sketch the graphs in your book and note down where these graphs cross the x-axis.

y = x2 + 2x - 4

y = x2 - x

y = x2 + x - 7

Now plot these graphs yourself using Wolfram Alpha.

y = x2 + x

y = -x2

y = x2 - 5x - 4

y = -x2 + 2x - 4


Beginning

Introduction to some methods of solving Non-monic Quadratics