Powers & Roots
MTH 306a
To run the tutorials simply click on the video you wish to play remembering to pause the video when attempting the questions! You should work through the exercises and homework in a squared jotter to keep all your work together. You should mark every section as soon as you finish it and write down your score.
For certain areas you will need a scientific calculator like the casio fx-85GT PLUS.
Once you have practiced the skills, be sure to see if you can apply them in the Applications questions at the bottom of the page. These questions should be revisited every so often as it is important to revise previous work so you don't forget it. Good luck! :)
Bronze Level
At bronze level, we introduce squaring a number and also the process of "square rooting" for basic times tables.
VIDEO 19: Outcome 1 - Squaring a number. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 20: Outcome 2 - Square roots. The final video in this module. After this, remember to think about your next steps!
Next Steps at Bronze Level
Additonal questions to practise
Here is a bronze homework for a bit of good old fashioned rigour...try timing yourself! To view the answers click here.
Adobe Acrobat document [849.5 KB]
Bronze Level self-marking quiz
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile and move onto silver level!
Have you mastered the skills at bronze level? Then give silver level a go!
Silver Level
At silver level, we look at squaring and square rooting multiples of 10, 100 and 1000.
VIDEO 21: Outcome 1 - Squaring a number. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 22: Outcome 2 - Square roots. The final video in this module. After this, remember to think about your next steps!
Next Steps at Silver Level
Additonal questions to practise
Try our silver worksheet for additional practice. Check your answers here.
Adobe Acrobat document [849.4 KB]
Silver Level self-marking quiz
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz, record the score in your profile and go for gold!
Completed silver level? Then try the gold module below. You will need a scientific calculator.
Gold Level
At gold level we introduce you to powers and roots. You are allowed to use your scientific calculator for this section and it would be an advantage if you knew where to find the "power" button and the "root" button before attempting this tutorial. If you know where they are and how to use them you should find this activity quite straight forward (if you can't find these buttons you may find this activity impossible!!!).
VIDEO 23: Outcome 1 - Evaluating powers. Grab a pen and your Rigour jotter. Make sure you try all the questions!
Video 24: Outcome 2 - Calculating roots. The final video in this module. After this, remember to think about your next steps!
Next Steps at Gold Level
Additonal questions to practise
If you want more practice at these gold level skills try this worksheet. You can view the answers here.
Adobe Acrobat document [857.2 KB]
Gold Level self-marking quiz
If you feel you have mastered these skills why not try this short quiz under exam conditions? You will be provided with instant feedback so be sure to view it. Remember to re-do any video lessons (or use the worksheet) for any questions you answered incorrectly. Once you have completed the quiz record the score in your profile!
After having a go at bronze, silver and gold level, you're now ready to apply the skills!
Applications!
Now that you’ve practiced the skills, let’s see if you can apply them! In this section you will find application questions on powers and roots. They may be set in a context, they could be a puzzle to solve or you may have to use a number of skills to solve the problems.
There are 8 questions in total here and you can answer them in ANY order at ANY time you like. Any questions that you don't get correct should be noted down and tried again at a later date - that's how we improve!
Can you answer them all correctly???
Congratulations!
You have completed this module - well done! Remember to go back and redo any areas of weakness, that's how we improve. If you are happy with all areas, go back to the main menu and pick another topic to practice!
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