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1·4a - The Gradient of a Straight Line

We have below bronze, silver and gold tutorials for The Gradient of a Straight Line 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.

  • Gradient of a slope (MTH 413b)                    Bronze        Silver        Gold

Bronze Level

You should have been introduced to gradient before as part of your Broad General Experience in 4th Level Maths and should certainly be familiar with the formula gradient = vertical/horizontal. This bronze video introduces you to the "National 5" formula for gradient.

 

VIDEO 49: Outcome 1 - Gradient of a straight line. Grab a pen and you're Rigour jotter. Make sure you try all the questions!

Next steps at Bronze Level

Additonal questions to practise

If you would like some further consolidation, here is a bronze worksheet. Click here to check your answers.

N5 EF 1.4 B Wk 3.pdf
Adobe Acrobat document [853.1 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

Fractional gradients are introduced in this silver video.

 

Video 50: Outcome 1 - Gradient of a straight line. Remember to copy down the worked examples and take notes. These will help you revise and remember!

Next steps at Silver Level

Additional questions to practise

For more practice download this silver worksheet. You can view the answers here.

N5 EF 1.4 S Wk 3.pdf
Adobe Acrobat document [852.8 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

In gold level you will be working backwards so you will be given the gradient and asked to find the value of a missing number in the coordinates.

 

Video 51: Outcome 1 - Gradient of a straight line. 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 wish to be world class at gradients please feel free to try this gold worksheet. Click here to check your answers.

N5 EF 1.4 G Wk 3.pdf
Adobe Acrobat document [846.1 KB]

Additional questions to practise

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!

National 5 Mathematics SQA Pastpaper Questions...

 

There have been no stand alone questions testing how to calculate the gradient in National 5 exams...yet! In the meantime, you can practice this skill by trying the questions in the Straight Line section in Relationships.

 

Intermediate 2 Pastpaper Questions...

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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