Understanding the discriminant in the Quadratic Formula, to better understand the nature of the roots of a quadratic equation Requires prior understanding of the quadratic formula. Discriminant can be: - greater than zero (2 roots) - equal to zero (1 root) - less than zero (no real roots) Reminder that roots / zeroes just mean x-intercepts (i.e. values that satisfy the quadratic equation equalling to zero).

Completing the Square - one of the 3 techniques to solve quadratics. We will cover what perfect squares are, what the expansion of (a+b) whole squared is, and how we can manipulate it to complete the square. We will then explore how to approach non-monic quadratics, before solving a quadratic equation. Involves: - perfect squares - algebraic re-arranging