Level: Year 10, Year 11 and Year 12
Author: Michael O’Connor
Perfect Squares are produced by squaring a single term. This can be either a number or an expression. When it is an expression we end up with a type of quadratic of the form:
This activity explores the properties of this family of functions and their graphs, known as parabolas.
The unit includes an AMSI Interactive online module, a range of other AMSI Schools and external links and video tutorials and some extension or enrichment ideas to take their understanding further. A short quiz at the end of the AMSI Interactive will help students to test their understanding at the completion of the unit.
If you do not already have a copy of Geogebra on your device, download it here. For PC’s and Macs the Classic 5 is recommended. This software is free and by downloading the prepared files you do not need to worry about internet speeds.
Links and Resources:
- Factorisation Summary (pdf)
- Exploring quadratics and parabolas Summary (pdf)
- Exploring Perfect Squares (video)
- Exploring Perfect Squares (geogebra applet and web link)
- Explaining the Am I a Perfect Square applet (video)
- Am I a Perfect Square (geogebra applet and web link)
- Exploring the difference of two squares summary (pdf)
- Exploring the difference of two squares (video)
- Difference of two squares (geogebra applet and weblink)
Comparing Simple and Compound Interest Overview
3 Exploring perfect Squares video
5 Explaining the Am I a Perfect Square applet video
8 Exploring the Difference fo Two Squares video