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Powers & Roots

MTH 4-06a

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.

 

Good luck! :)

Skills developed in this module;

  • Calculating powers and roots
  • Simplifying surds
  • Rationalising the denominator

Bronze Level

We should already be familiar with powers and roots from 3rd Level Maths (MTH 3-06a). At bronze level we practice evaluating powers and roots with and without a calculator. Make sure you have your casio fx-83GT PLUS handy!

Video 19: Outcome 1 - Evaluating powers. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 20: Outcome 2 - Calculating roots. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Next steps...

Here is a bronze homework with additional questions to try. To check your answers click here.

MTH 406a B Hw 3.pdf
Adobe Acrobat document [859.5 KB]

Try this assessment under exam conditions to check your progress. For the answers, click here.

MTH 406a B Ass 3.pdf
Adobe Acrobat document [858.7 KB]

Silver Level

In this silver module we use our previous knowledge (and our calculator!) to carry out calculations involving powers and roots.

Video 21: Outcome 1 - Calculations involving powers and roots. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Next steps...

For further calculations try this silver homework. To check your answers click here.

MTH 406a S Hw 3.pdf
Adobe Acrobat document [871.5 KB]

Test your skills under exam conditions with this silver level assessment! For the answers, click here.

MTH 406a S Ass 3.pdf
Adobe Acrobat document [912.7 KB]

Gold Level

At gold level we take a sneaky peak at what is to come in the next stage of your learning journey. In this module, we learn how to simplify surds.

Video 22: Outcome 1 - Simplifying surds. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Next steps...

Practising these skills at this stage will only serve you best in the long run. Try this gold homework for additional practice. To check your answers click here.

MTH 406a G Hw 3.pdf
Adobe Acrobat document [851.3 KB]

This gold practice assessment will test your skills under exam conditions. For the answers, click here.

MTH 406a G Ass 3.pdf
Adobe Acrobat document [844.9 KB]

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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