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1.2 - Applying geometric skills to vectors

We have below bronze, silver and gold tutorials for Vectors in the Applications 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.

  • Reading coordinates (MTH 318a)            Bronze         Silver         Gold
  • Plotting coordinates (MTH 318a)             Bronze         Silver         Gold
  • Pythagoras' Theorem (MTH 416a)           Bronze         Silver         Gold

Bronze Level

You should already be familiar with coordinates in all 4 quadrants from 4th Level Maths. This bronze level tutorial introduces you to 2D vectors.

 

Video 158: Outcome 1 - Adding vectors. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 159: Outcome 2 - Working with 2D vectors. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 160: Outcome 3 - Using vector components. Try this video and these practise questions.

Video 161: Outcome 4 - Calculating magnitude. This is the final video in this module. After completing the questions, remember to think about your next steps!

Next steps at Bronze Level

Additonal questions to practise

For more 2D vectors practice, try this bronze worksheet. To check your answers click here.

N5 A 1.2 B Wk 3.pdf
Adobe Acrobat document [79.1 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

At silver level we extend to working with 3D vectors and introduce 3D coordinates.

 

Video 162: Outcome 1 - Subtracting vectors. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 163: Outcome 2 - 3D coordinates. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 164: Outcome 3 - Using vector components. Try this video and these practise questions.

Video 165: Outcome 4 - Calculating magnitude. This is the final video in this module. After completing the questions, remember to think about your next steps!

Next steps at Silver Level

Additional questions to practise

For more questions to try, here's a silver worksheet. Answers can be viewed here.

N5 A 1.2 S Wk 3.pdf
Adobe Acrobat document [85.9 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

Gold level increases the difficulty of the calculations and introduces you to vector journeys.

 

Video 166: Outcome 1 - Adding and subtracting vectors. Grab a pen and your Rigour jotter. Make sure you try all the questions!

Video 167: Outcome 2 - Vector journeys. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Video 168: Outcome 3 - Using vector components. Try this video and these practise questions.

Video 169: Outcome 4 - Calculating magnitude. This is the final video in this module. After completing the questions, remember to think about your next steps!

Next steps at Gold Level

Additional questions to practise

To complete the set, here is a gold worksheet! Answers can be viewed here.

N5 A 1.2 G Wk 3.pdf
Adobe Acrobat document [96.5 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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