Quadratics

4.1 An Opening Puzzler

Lesson materials located below the video overview.

SETTING THE SCENE

In this lesson we finish up our work on the algebra of quadratics. (We’ll move to their graphing next.) The topics covered here are more advanced and might, or might not, be part of your curriculum. We’ll study them here just in case they are and, well, because they are interesting! There is some good clever thinking to try, and thinking is always fun. (But do feel free to skip content herein if doesn’t feel quite relevant to your interests and needs.)

We’ll start the lesson with a puzzle whose solution illustrates the algebra we’ll need today.

 

A RECTANGLE PUZZLE

Consider these two rectangles: a three-by-six rectangle and a four-by-four rectangle (that is, square). They each have a mighty curious property.

The first has area \(3\times 6=18\) square units and the perimeter \(3+6+3+6=18\) units. …

 

READ MORE HERE: QUADRATICS PD Essay 4.1

(See too Edfinity.com/XXX for a robust source of curriculum practice problems for you collate, organise, and use.)

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