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1.1b - Simplifying Expressions using the Laws of Indices...

We have below bronze, silver and gold tutorials for The Laws of Indices in the Expressions & Formulae unit of National 5 Mathematics. Bronze tutorials are typically unit assessment standard with the silver tutorials providing typical "exam type" questions as examples. If you can manage these you should try our more advanced gold tutorials containing the more unpleasant "exam type" questions. Typically as you work through the modules, the difficulty of the skills increase by one step ensuring smooth progression. Simply click on the video to play it and pause it at the relevant points for you to attempt the questions. Each tutorial has a corresponding worksheet for you to download if additional practice is required. Make sure you have a pen and paper handy! Once you've mastered the skills, why not try the Pastpaper questions at the bottom of the page?

Prior Knowledge!

These are the skills that you should already have mastered with BEFORE you begin studying this National 5 module. If you are unsure, watch the videos and try some questions.

  • Changing large numbers into Scientific Notation (MTH 406b)   Gold
  • Changing small numbers into Scientific Notation (MTH 406b)​   Gold
  • Changing small numbers into Scientific Notation (MTH 406b)​   Gold
  • Changing small numbers into Scientific Notation (MTH 406b)​   Gold

Bronze Level

Try our bronze level module on multiplication and division of indices and the introduction of brackets with a recap on 4th Level Maths scientific notation.

 

VIDEO 7: Outcome 1 - Multiplying and dividing indices. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 8: Outcome 2 - More laws of indices. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 9: Outcome 3 - Calculations involving Scientific Notation. The final video in this module. After this, remember to think about your next steps!

Next steps at Bronze Level

Additonal questions to practise

For further practise please feel free to download the following bronze worksheet. You can view the answers here.

N5 EF 1.1b B Wk 3.pdf
Adobe Acrobat document [868.4 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!

Silver Level

This silver module combines the addition and subtraction laws of indices and introduces new rules such as "the power of zero" and negative powers. Make sure you know where the SCI NOT button is on your calculator in advance for outcome 3!

 

VIDEO 10: Outcome 1 - Multiplying and dividing indices. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 11: Outcome 2 - More laws of indices. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 12: Outcome 3 - Calculations involving Scientific Notation. The final video in this module. After this, remember to think about your next steps!

Next steps at Silver Level

Additonal questions to practise

For further practise please feel free to download the following silver worksheetClick here to check your answers.

N5 EF 1.1b S Wk 3.pdf
Adobe Acrobat document [862.4 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 then go for gold!

Gold Level

Gold Level builds on these skills by introducing fractional powers and contextualises the Scientific Notation questions.

 

VIDEO 13: Outcome 1 - Multiplying and dividing indices. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 14: Outcome 2 - More laws of indices. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 15: Outcome 3 - Calculations involving Scientific Notation. 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 further consolodation is required, here are more gold questions. You can view the answers here.

N5 EF 1.1b G Wk 3.pdf
Adobe Acrobat document [865.5 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 and try the past paper questions!

SQA Pastpaper Questions with Video Solutions...

Once you have mastered the skills, why not try the pastpaper questions? Click on each question to play the video. Pause it when prompted to do so and have a go yourself first. When you've finished check the solution. You should aim to complete these questions more than once at various stages throughout the year. If you feel that you need more practice at that particular question go to the practice area suggested in the video...good luck!

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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