Fluency exercise

## Problem

Sort these quadratic equations into groups.

• How will you choose to define the groups?
• Are there some equations which belong to more than one group?

Once you have sorted the equations into groups, write a further equation for each group. (There are blank cards provided for this purpose.)

How else could you have sorted the equations?

(For a suggestion as to one possible way of grouping the equations, you could use the possible grouping cards.)

You might want to download cards with the equations on them, so that you can sort them into groups more easily.

$3x^2-17=0$

$x^2-6x-10=0$

$4x^2-7x=0$

$3x^2-5x-11=0$

$x^2-3x+2=0$

$x^2+3x=0$

$(2x-5)^2-9=0$

$(2x-1)(x+3)=0$

$(x-3)^2-4=0$

$x^2-9=0$

$2x^2+5x+2=0$

$2x^2+7x+4=0$

$x^2+6x-72=0$

$(x+1)^2=0$

$x^2-16x=0$

$2x^2+6x+4=0$

$7x^2+14x-21=0$

$3(x+4)^2-8=0$