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1.3 - Applying algebraic skills to algebraic fractions

We have below bronze, silver and gold tutorials for Algebraic Fractions 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.

  • Common Factor (E+F 1.2b)                             Bronze        Silver        Gold
  • Difference of 2 Squares (E+F 1.2b)                  Bronze        Silver        Gold
  • Trinomials (E+F 1.2b)                                     Bronze        Silver        Gold
  • Adding/Subtracting fractions (MTH 307b)         Bronze        Silver        Gold
  • Multiplying fractions (MTH 307b)                     Bronze        Silver        Gold
  • Dividing fractions (MTH 307b)                         Bronze        Silver        Gold

Bronze Level

For this module, it is ESSENTIAL that you have the ability to work with fractions up to and including 4th Level Maths. If you feel you could do with a refresher course in fractions we would advise completing the 1.3b - Working with Fractions module in the Applications unit first. This bronze module deals with Algebraic Fractions at a basic level.

VIDEO 37: Outcome 1 - Simplifying algebraic expressions. Grab a pen and you're Rigour jotter. Make sure you try all the questions!

Video 38: Outcome 2 - Adding & subtracting. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 39: Outcome 3 - Multiplying. Try this video and these practise questions.

Video 40: Outcome 4 - Dividing. The final video in this module. After this, remember to think about your next steps!

Next steps at Bronze Level

Additonal questions to practise

If required, try this corresponding Bronze worksheet. You can view the answers here.

N5 EF 1.3 B Wk 3.pdf
Adobe Acrobat document [861.4 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

Silver level introduces different denominators for adding and subtracting and some simplifying will be required throughout to increase the difficulty level in this module.

 

VIDEO 41: Outcome 1 - Simplifying algebraic expressions. Grab a pen and you're Rigour jotter. Make sure you try all the questions!

Video 42: Outcome 2 - Adding & subtracting. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 43: Outcome 3 - Multiplying. Try this video and these practise questions.

Video 44: Outcome 4 - Dividing. The final video in this module. After this, remember to think about your next steps!

Next steps at Silver Level

Additional questions to practise

Feel free to download the matching silver worksheet if you would like more practice. Click here to check your answers.

N5 EF 1.3 S Wk 3.pdf
Adobe Acrobat document [861.7 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

This gold level tutorial gives you a true "exam standard" experience. Pay close attention to outcomes 1 and 2 as these questions are historically poorly attempted by many students in prelims and examintions! Knowledge of factorising (see module E+F 1.2b) for success in outcome 1.

VIDEO 45: Outcome 1 - Simplifying algebraic expressions. Grab a pen and you're Rigour jotter. Make sure you try all the questions!

Video 46: Outcome 2 - Adding & subtracting. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 47: Outcome 3 - Multiplying. Try this video and these practise questions.

Video 48: Outcome 4 - Dividing. The final video in this module. After this, remember to think about your next steps!

Next steps at Gold Level

Additional questions to practise

Some of our worksheets we would advise as optional but we would recommend this worksheet as ESSENTIAL practice to learn these "exam standard" processes which will provide us with some very useful marks come final exam day! You can view the answers here.

N5 EF 1.3 G Wk 3.pdf
Adobe Acrobat document [860.1 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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