Introduction to quadratic equations

A complete lesson on introducing quadratic equations. The lesson looks at what quadratic equations are, solving quadratic equations when there isn’t a term in x, and ends with a more open ended, challenging task.

Activities included:

Starter:
Two questions to get pupils thinking about the fact that positive numbers have two (real) square roots, whereas negative numbers have none.

Main:

• A discussion activity to help pupils understand what a quadratic equation is. They are presented with equations spit into 3 columns - linear, quadratic and something else, and have to discuss what features distinguish each.
• Examples, quick questions and two sets of questions for pupils to try. These include fraction, decimal and surd answers, but are designed to be done without a calculator, assuming pupils can square root simple numbers like 4/9 or 0.64. Could be done with a calculator if necessary.
• Some questions in a geometric context, culminating in some more challenging problems where pupils look for tetromino-type shapes where area = perimeter. There is scope here for pupils to design their own, similar puzzles.

I haven’t included a plenary, as I felt that the end point would vary, depending on the group.

Slides could be printed as worksheets, although everything has been designed to be projected.

Answers included.

Please review if you buy, as any feedback is appreciated!