I have used this 4-page worksheet with my classes to get them to understand the process of completing the square on expressions of the form x^2+ax+b.
The worksheet takes them through the following stages:
1. Practise expanding and simplifying (x+p)^2
2. Practise expanding and simplifying (x+p)^2+q
3. Practise writing x^2+ax+b in the form (x+p)^2+q
My classes have usually had a good understanding of how completing the square works after finishing this worksheet and are ready to practise using it to solve quadratic equations.
The worksheet takes them through the following stages:
1. Practise expanding and simplifying (x+p)^2
2. Practise expanding and simplifying (x+p)^2+q
3. Practise writing x^2+ax+b in the form (x+p)^2+q
My classes have usually had a good understanding of how completing the square works after finishing this worksheet and are ready to practise using it to solve quadratic equations.
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