In about 300 BC Euclid developed a geometrical approach which, although later mathematicians used it to solve quadratic equations, amounted to finding a length which in our notation was the root of a quadratic equation.
QUADRATIC EQUATIONS
Key questions
Do we recall how to solve a linear equation?
What is a quadratic equation?
Can we solve a quadratic equation graphically?
How do we solve a quadratic equation by factorising?
How can we use the completed square form?
What is the quadratic formula?
Can we problem solve with quadratics?
5 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Develop...
higher factorising - 2, 4
quadratic matching - 2, 3, 4
spiders - 2, 4, 5, 6
mixed linear and quadratic equations - 1, 2, 4
quadratic features - 2, 3, 4, 5
form a quadratic - 2, 4, 5, 6, 7
forming and solving dr frost - 2, 4, 5, 6, 7
cuboid and surface area - 2, 4, 5, 6, 7
solving by formula - 2, 6
quadratic formula scaffolded - 2, 6
Extend...
which parabola - 2, 3, 4, 7
show that - 2, 4, 5, 6, 7
quadratics by transforming - 2, 7
quadratic sorting - 2, 7
quadratic equations methods - 2, 4, 5, 6
how many solutions - 2, 3, 4, 5, 7
disguised quadratics - 2, 7
conic sections - 2, 7
quadratic equations review - 2, 4, 5, 6