Knowledge organiser
Textbook chapter
PMT solutions
https://sites.google.com/view/mathematics-videos-geogebra/home/a-level-year-1/03-the-quadratic-function
Y1 Pure 2.1
Solving quadratic equations
3 ways to solve a quadratic equation (=0)
Quadratic formula
Y1 Pure 2.2
Completing the square
Intro: completing the square with the form x^2 + bx + c
+B3-09 (examples)
Completing the square where a does not equal 1
+B3-11 (examples)
Where the quadratic formula comes From
Y1 Pure 2.3
Functions
Solving more complicated equations using quadratic methods
Y1 Pure 2.4
Quadratic graphs
Intro: parabolas
+B3:06-07, 12
(sketching from factorised form, line of symmetry)
Sketching quadratics from completed square form
Sketching quadratics using the quadratic formula
+B3:21-22 (sketch using calc)
Y1 Pure 2.5
The discriminant
How many roots?
Examples
Y1 Pure 2.6
Modelling with quadratics
Intro: modelling