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1.2b - Factorising an Algebraic Expression

We have below bronze, silver and gold tutorials for Factorising Algebraic Expressions 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. Do you remember them? If you are unsure, watch the videos and try some questions, it will make learning this new topic so much easier!

Bronze Level

This bronze module revises Common Factor from 4th Level Maths and introduces the other 2 types of factorisation; the Difference of 2 Squares and Trinomials.

 

VIDEO 25: Outcome 1 - Common factor. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 26: Outcome 2 - Difference of 2 squares. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 27: Outcome 3 - Trinomials. The final video in this module. After this, remember to think about your next steps!

Next steps at Bronze Level

Additonal questions to practise

Factorising is an essential process in mathematics so if you require additional practice here's a bronze worksheet. You can view the answers here.

N5 EF 1.2b B Wk 3.pdf
Adobe Acrobat document [845.5 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!

Silver Level

The main differences at silver level are letters for common factors and the introduction of those nasty 3rd Level Numeracy negatives in the trinomials section!

 

VIDEO 28: Outcome 1 - Common factor. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 29: Outcome 2 - Difference of 2 squares. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 30: Outcome 3 - Trinomials. The final video in this module. After this, remember to think about your next steps!

Next steps at Silver Level

Additional questions to practise

You can never practice factorising enough, particularly if you have aspirations to do Higher, so here is another page of silver sums to try. Click here to check your answers.

N5 EF 1.2b S Wk 3.pdf
Adobe Acrobat document [845.4 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, go for gold and/or try the past paper questions!

Gold Level

With a combination of numbers and letters for common factors, a mixture of two process in outcome 2 and factorising non-unitary trinomials in outcome 3, this is a module that should challenge the majority of National 5 students. But if you put the effort in you WILL master the process.

 

VIDEO 31: Outcome 1 - Common factor. Grab a pen and your Rigour jotter. Make sure you try all the questions! 

Video 32: Outcome 2 - Difference of 2 squares. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 33: Outcome 3 - Trinomials. The final video in this module. After this, remember to think about your next steps!

Next steps at Gold Level

Additional questions to practise

If you truly want to be world class at factorising this gold worksheet comes highly recommended! You can view the answers here.

N5 EF 1.2b G Wk 3.pdf
Adobe Acrobat document [843.9 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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