National 4 Mathematics - Video Lessons
Below you will find video lessons for the National 4 Mathematics course that can be shared with your pupils.
You may wish to use these lessons in a variety of ways;
1. For Flipped Learning
2. To help pupils catch up on work missed through absence
3. Revision for assessments
4. Help with homework
Simply copy and paste the URL's into your desired platform, e.g. Google Classroom, Show my Homework, Glow, Edmodo, etc.
Each video lesson contains worked examples and questions for the pupils to try. Pupils should copy the worked examples and attempt the questions. They are then provided with the answers and should correct their work. They could then bring in any questions they have about the video lesson to ask their teacher.
The lessons are set at 3 levels of difficulty; bronze, silver and gold. Feel free to choose the appropriate level(s) to meet the needs of your pupils.
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Expressions & Formulae
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1∙1a – Multiplying out brackets |
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E+F 1∙1a |
Bronze Outcome 1 |
Multiplying out single brackets |
Video 1 |
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E+F 1∙1a |
Silver Outcome 2 |
Multiplying single brackets & simplifying |
Video 2 |
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E+F 1∙1a |
Gold Outcome 3 |
Multiplying single brackets by letters |
Video 3 |
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1∙1b – Factorising expressions |
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E+F 1∙1b |
Bronze Outcome 1 |
Factorise with numerical common factor |
Video 4 |
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E+F 1∙1b |
Silver Outcome 2 |
Common factor as a letter |
Video 5 |
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E+F 1∙1b |
Gold Outcome 3 |
Common factor as a number and a letter |
Video 6 |
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1∙1c – Simplifying expressions |
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E+F 1∙1c |
Bronze Outcome 1 |
Gathering like terms – positive terms |
Video 7 |
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E+F 1∙1c |
Silver Outcome 2 |
Gathering like terms – negative terms |
Video 8 |
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E+F 1∙1c |
Gold Outcome 3 |
Gathering like terms – squared/cubed |
Video 9 |
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1∙1d – Substitution |
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E+F 1∙1d |
Bronze Outcome 1 |
Substitution – basic expressions |
Video 10 |
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E+F 1∙1d |
Silver Outcome 2 |
Substitution – harder expressions |
Video 11 |
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E+F 1∙1d |
Gold Outcome 3 |
Substitution – with negatives & powers |
Video 12 |
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1∙1e – Formulae in context |
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E+F 1∙1e |
Bronze Outcome 1 |
Formulae in context |
Video 13 |
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E+F 1∙1e |
Silver Outcome 2 |
Formulae in geometry |
Video 14 |
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E+F 1∙1e |
Gold Outcome 3 |
Formulae in science |
Video 15 |
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1∙1f – Linear Patterns |
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E+F 1∙1f |
Bronze Outcome 1 |
Linear patterns |
Video 16 |
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E+F 1∙1f |
Silver Outcome 2 |
The nth term for increasing sequences |
Video 17 |
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E+F 1∙1f |
Gold Outcome 3 |
The nth term for decreasing sequences |
Video 18 |
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1∙1g – The gradient of a straight line |
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E+F 1∙1g |
Bronze Outcome 1 |
Calculating the gradient of a slope |
Video 19 |
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E+F 1∙1g |
Silver Outcome 2 |
Calculating the gradient of a slope |
Video 20 |
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E+F 1∙1g |
Gold Outcome 3 |
The gradient between two points |
Video 21 |
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1∙2a – Circumference of a circle |
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E+F 1∙2a |
Bronze Outcome 1 |
Circumference of a circle |
Video 22 |
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E+F 1∙2a |
Silver Outcome 2 |
Calculating the diameter of a circle |
Video 23 |
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E+F 1∙2a |
Gold Outcome 3 |
The perimeter of a composite shape |
Video 24 |
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1∙2b – Area of a circle |
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E+F 1∙2b |
Bronze Outcome 1 |
Area of a circle |
Video 25 |
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E+F 1∙2b |
Silver Outcome 2 |
Calculating the radius of a circle |
Video 26 |
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E+F 1∙2b |
Gold Outcome 3 |
The area of a composite shape |
Video 27 |
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1∙2c – Calculating the area of 2D shapes |
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E+F 1∙2c |
Bronze Outcome 1 |
Area of rectangle, square & parallelogram |
Video 28 |
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E+F 1∙2c |
Silver Outcome 2 |
Area of a triangle, rhombus & kite |
Video 29 |
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E+F 1∙2c |
Gold Outcome 3 |
Area of a trapezium |
Video 30 |
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1∙2d – Calculating surface area |
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E+F 1∙2d |
Bronze Outcome 1 |
Surface area of a cube |
Video 31 |
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E+F 1∙2d |
Silver Outcome 2 |
Surface area of a cuboid |
Video 32 |
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E+F 1∙2d |
Gold Outcome 3 |
Surface area of a cylinder |
Video 33 |
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1∙2e – Volume of prisms |
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E+F 1∙2e |
Bronze Outcome 1 |
Volume of a prism |
Video 34 |
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E+F 1∙2e |
Silver Outcome 2 |
Volume of a prism |
Video 35 |
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E+F 1∙2e |
Gold Outcome 3 |
Volume of a cylinder – using a formula |
Video 36 |
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1∙2f – Rotational symmetry |
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E+F 1∙2f |
Bronze Outcome 1 |
Reflecting in two lines of symmetry |
Video 37 |
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E+F 1∙2f |
Silver Outcome 2 |
Rotational symmetry of order 2 |
Video 38 |
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E+F 1∙2f |
Gold Outcome 3 |
Rotational symmetry of order 4 |
Video 39 |
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1∙3a – Drawing tally frequency tables and bar graphs |
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E+F 1∙3a |
Bronze Outcome 1 |
Tally frequency tables with unitary scale |
Video 40 |
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E+F 1∙3a |
Silver Outcome 2 |
Tally frequency tables with intervals |
Video 41 |
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E+F 1∙3a |
Gold Outcome 3 |
Drawing bar graphs |
Video 42 |
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1∙3b – Calculating the range |
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E+F 1∙3b |
Bronze Outcome 1 |
Calculating the range – ordered list |
Video 43 |
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E+F 1∙3b |
Silver Outcome 2 |
Range – unordered list & bigger numbers |
Video 44 |
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E+F 1∙3b |
Gold Outcome 3 |
Range – with large/negative numbers |
Video 45 |
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1∙3c – Calculating the mean |
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E+F 1∙3c |
Bronze Outcome 1 |
Calculating the mean – ordered list |
Video 46 |
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E+F 1∙3c |
Silver Outcome 2 |
Mean – unordered list & bigger numbers |
Video 47 |
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E+F 1∙3c |
Gold Outcome 3 |
Mean – with large/negative numbers |
Video 48 |
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1∙3d – Calculating the median |
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E+F 1∙3d |
Bronze Outcome 1 |
Calculating the median – ordered list |
Video 49 |
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E+F 1∙3d |
Silver Outcome 2 |
Median – unordered list |
Video 50 |
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E+F 1∙3d |
Gold Outcome 3 |
Median – unordered & even numbered list |
Video 51 |
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1∙3e – Calculating the mode |
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E+F 1∙3e |
Bronze Outcome 1 |
Calculating the mode – ordered list |
Video 52 |
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E+F 1∙3e |
Silver Outcome 2 |
Mode – unordered list |
Video 53 |
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E+F 1∙3e |
Gold Outcome 3 |
Mode – two numbers that appear “most” |
Video 54 |
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1∙3f – Using probability |
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E+F 1∙3f |
Bronze Outcome 1 |
Calculating probability |
Video 55 |
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E+F 1∙3f |
Silver Outcome 2 |
Probability as a fraction, decimal & % |
Video 56 |
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E+F 1∙3f |
Gold Outcome 3 |
Comparing probabilities |
Video 57 |
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Relationships
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1∙1a – Drawing and recognising a graph of a linear equation |
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REL 1∙1a |
Bronze Outcome 1 |
Drawing a straight line in the form y = ax |
Video 58 |
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REL 1∙1a |
Silver Outcome 2 |
Straight lines in the form y = ax + b |
Video 59 |
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REL 1∙1a |
Gold Outcome 3 |
Straight lines in the form y = a or x = b |
Video 60 |
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1∙1b – Solving linear equations |
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REL 1∙1b |
Bronze Outcome 1 |
Solving equations in the form ax + b = c |
Video 61 |
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REL 1∙1b |
Silver Outcome 2 |
Equations in the form ax + b = cx + d |
Video 62 |
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REL 1∙1b |
Gold Outcome 3 |
Solving equations with brackets |
Video 63 |
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1∙1c – Solving linear inequalities |
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REL 1∙1c |
Outcome 1 |
Solving inequalities |
Video 64 |
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1∙1d – Changing the subject of a formula |
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REL 1∙1d |
Bronze Outcome 1 |
Changing subject of formula – 1 step |
Video 65 |
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REL 1∙1d |
Silver Outcome 2 |
Changing subject – 2 step; +/– then x/÷ |
Video 66 |
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REL 1∙1d |
Gold Outcome 3 |
Changing subject – 2 step; with ² and √ |
Video 67 |
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1∙2a – Using Pythagoras’ Theorem |
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REL 1∙2a |
Bronze Outcome 1 |
Pythagoras’ Theorem – the longest side |
Video 68 |
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REL 1∙2a |
Silver Outcome 2 |
Pythagoras’ – finding a shorter side |
Video 69 |
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REL 1∙2a |
Gold Outcome 3 |
Pythagoras’ in isosceles triangles |
Video 70 |
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1∙2b – Using a scale factor to enlarge or reduce a shape |
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REL 1∙2b |
Bronze Outcome 1 |
Enlargement |
Video 71 |
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REL 1∙2b |
Silver Outcome 2 |
Reduction |
Video 72 |
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REL 1∙2b |
Gold Outcome 3 |
Enlargement & reduction |
Video 73 |
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1∙2c – Calculating missing angles |
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REL 1∙2c |
Bronze Outcome 1 |
Complementary & supplementary angles |
Video 74 |
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REL 1∙2c |
Silver Outcome 2 |
Angles around a point/opposite angles |
Video 75 |
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REL 1∙2c |
Gold Outcome 3 |
Calculating angles with parallel lines |
Video 76 |
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1∙2d – Angles in a triangle |
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REL 1∙2d |
Bronze Outcome 1 |
Angles in a triangle |
Video 77 |
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REL 1∙2d |
Silver Outcome 2 |
Angles in isosceles/equilateral triangles |
Video 78 |
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REL 1∙2d |
Gold Outcome 3 |
Angles in triangles with parallel lines |
Video 79 |
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1∙2e – Angles in quadrilaterals and circles |
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REL 1∙2d |
Bronze Outcome 1 |
Angles in quadrilaterals |
Video 80 |
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REL 1∙2d |
Silver Outcome 2 |
Angles in a circle |
Video 81 |
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REL 1∙2d |
Gold Outcome 3 |
Angles in a circle |
Video 82 |
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1∙3 – Calculating a side in a right angled triangle |
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REL 1∙3 |
Bronze Outcome 1 |
Finding a missing side |
Video 83 |
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REL 1∙3 |
Silver Outcome 2 |
Calculating a missing angle |
Video 84 |
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REL 1∙3 |
Gold Outcome 3 |
Solving for the denominator |
Video 85 |
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1∙4 – Drawing and interpreting scatter graphs |
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REL 1∙4 |
Bronze Outcome 1 |
Plotting coordinates in the 1st quadrant |
Video 86 |
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REL 1∙4 |
Silver Outcome 2 |
Drawing scatter graphs |
Video 87 |
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REL 1∙4 |
Gold Outcome 3 |
Interpreting scatter graphs |
Video 88 |
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Numeracy
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1∙1a – Choosing appropriate units |
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NUM 1∙1a |
Bronze Outcome 1 |
Choosing appropriate units - money |
Video 89 |
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NUM 1∙1a |
Silver Outcome 2 |
Choosing appropriate units - measurement |
Video 90 |
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NUM 1∙1a |
Gold Outcome 3 |
Choosing appropriate units - time |
Video 91 |
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1∙2a – Adding whole numbers/decimals |
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NUM 1∙2a |
Bronze Outcome 1 |
Adding whole numbers – no carrying |
Video 92 |
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NUM 1∙2a |
Silver Outcome 2 |
Adding whole numbers - carrying |
Video 93 |
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NUM 1∙2a |
Gold Outcome 3 |
Adding decimals |
Video 94 |
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1∙2b – Subtracting whole numbers/decimals |
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NUM 1∙2b |
Bronze Outcome 1 |
Subtracting whole numbers - no carrying |
Video 95 |
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NUM 1∙2b |
Silver Outcome 2 |
Subtracting whole numbers - carrying |
Video 96 |
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NUM 1∙2b |
Gold Outcome 3 |
Subtracting decimals |
Video 97 |
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1∙2c – Adding and subtracting decimals |
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NUM 1∙2c |
Outcome 1 |
Adding and subtracting decimals |
Video 98 |
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1∙2d – Multiplying whole numbers/decimals |
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NUM 1∙2d |
Bronze Outcome 1 |
Multiplying whole numbers - no carrying |
Video 99 |
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NUM 1∙2d |
Silver Outcome 2 |
Multiplying whole numbers - carrying |
Video 100 |
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NUM 1∙2d |
Gold Outcome 3 |
Multiplying decimals by a single digit |
Video 101 |
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1∙2e – Dividing whole numbers/decimals |
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NUM 1∙2e |
Bronze Outcome 1 |
Dividing whole numbers - no carrying |
Video 102 |
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NUM 1∙2e |
Silver Outcome 2 |
Dividing whole numbers - carrying |
Video 103 |
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NUM 1∙2e |
Gold Outcome 3 |
Dividing decimals by a single digit |
Video 104 |
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1∙2f – Multiplying whole numbers/decimals by 10, 100 and 1000 |
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NUM 1∙2f |
Bronze Outcome 1 |
Multiplying whole numbers by 10 |
Video 105 |
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NUM 1∙2f |
Silver Outcome 2 |
Multiplying whole numbers by 100 & 1000 |
Video 106 |
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NUM 1∙2f |
Gold Outcome 3 |
Multiplying decimals by 10, 100 & 1000 |
Video 107 |
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1∙2g – Dividing whole numbers/decimals by 10, 100 and 1000 |
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NUM 1∙2g |
Bronze Outcome 1 |
Dividing whole numbers by 10 |
Video 108 |
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NUM 1∙2g |
Silver Outcome 2 |
Dividing whole numbers by 100 & 1000 |
Video 109 |
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NUM 1∙2g |
Gold Outcome 3 |
Dividing decimals by 10, 100 & 1000 |
Video 110 |
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1∙2h – Adding negative numbers |
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NUM 1∙2h |
Bronze Outcome 1 |
Adding a number to a negative |
Video 111 |
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NUM 1∙2h |
Silver Outcome 2 |
Adding a larger number to a negative |
Video 112 |
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NUM 1∙2h |
Gold Outcome 3 |
Adding negatives |
Video 113 |
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1∙2i – Subtracting negative numbers |
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NUM 1∙2i |
Bronze Outcome 1 |
Subtracting a number to get a negative |
Video 114 |
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NUM 1∙2i |
Silver Outcome 2 |
Subtracting larger number to get negative |
Video 115 |
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NUM 1∙2i |
Gold Outcome 3 |
Subtracting negatives |
Video 116 |
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1∙2j – Multiplying negative numbers |
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NUM 1∙2j |
Bronze Outcome 1 |
Positive number × negative number |
Video 117 |
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NUM 1∙2j |
Silver Outcome 2 |
Negative number × negative number |
Video 118 |
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NUM 1∙2j |
Gold Outcome 3 |
A mixture! |
Video 119 |
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1∙2k – Dividing negative numbers |
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NUM 1∙2k |
Bronze Outcome 1 |
Positive number ÷ negative number |
Video 120 |
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NUM 1∙2k |
Silver Outcome 2 |
Negative number ÷ negative number |
Video 121 |
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NUM 1∙2k |
Gold Outcome 3 |
A mixture! |
Video 122 |
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1∙2l – The order of operations |
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NUM 1∙2l |
Bronze Outcome 1 |
The order of operations - +, -, ×, ÷ |
Video 123 |
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NUM 1∙2l |
Silver Outcome 2 |
The order of operations – with brackets |
Video 124 |
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NUM 1∙2l |
Gold Outcome 3 |
Order of operations – with powers & roots |
Video 125 |
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1∙2m – Selecting and carrying out calculations |
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NUM 1∙2m |
Bronze Outcome 1 |
Problems in context; 1 step: +, -, × or ÷? |
Video 126 |
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NUM 1∙2m |
Silver Outcome 2 |
Problems in context; 2 step: + then - |
Video 127 |
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NUM 1∙2m |
Gold Outcome 3 |
Problems in context – with division |
Video 128 |
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1∙2n – Changing between fractions, decimals and percentages |
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NUM 1∙2n |
Bronze Outcome 1 |
Changing between fractions, decimals & % |
Video 129 |
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NUM 1∙2n |
Silver Outcome 2 |
Changing between fractions, decimals & % |
Video 130 |
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NUM 1∙2n |
Gold Outcome 3 |
Changing between fractions, decimals & % |
Video 131 |
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1∙2o – Calculating the fraction of a quantity |
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NUM 1∙2o |
Bronze Outcome 1 |
The fraction of a unitary quantity |
Video 132 |
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NUM 1∙2o |
Silver Outcome 2 |
The fraction of a non-unitary quantity |
Video 133 |
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NUM 1∙2o |
Gold Outcome 3 |
The fraction of a larger quantity |
Video 134 |
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1∙2p – Calculating mental percentages |
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NUM 1∙2p |
Bronze Outcome 1 |
Calculating one-step mental percentages |
Video 135 |
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NUM 1∙2p |
Silver Outcome 2 |
Calculating two-step mental percentages |
Video 136 |
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NUM 1∙2p |
Gold Outcome 3 |
Calculating multi-step mental percentages |
Video 137 |
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1∙2q – Percentage increase/decrease |
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NUM 1∙2q |
Outcome 1 |
Percentage increase/decrease |
Video 138 |
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1∙2r – Expressing one value as a percentage of the other |
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NUM 1∙2r |
Bronze Outcome 1 |
Calculating test scores |
Video 139 |
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NUM 1∙2r |
Silver Outcome 2 |
With additional calculations |
Video 140 |
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NUM 1∙2r |
Gold Outcome 3 |
Percentage profit/loss |
Video 141 |
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1∙2s – Proportion |
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NUM 1∙2s |
Bronze Outcome 1 |
Direct proportion |
Video 142 |
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NUM 1∙2s |
Silver Outcome 2 |
Indirect proportion |
Video 143 |
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NUM 1∙2s |
Gold Outcome 3 |
Basic, direct or indirect proportion? |
Video 144 |
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1∙2t – Proportional division |
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NUM 1∙2t |
Bronze Outcome 1 |
Proportional division shared two ways |
Video 145 |
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NUM 1∙2t |
Silver Outcome 2 |
Proportional division shared three ways |
Video 146 |
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NUM 1∙2t |
Gold Outcome 3 |
Problems involving proportional division |
Video 147 |
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1∙2u – Foreign exchange |
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NUM 1∙2u |
Bronze Outcome 1 |
Changing pound to euros |
Video 148 |
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NUM 1∙2u |
Silver Outcome 2 |
Changing euros to pounds |
Video 149 |
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NUM 1∙2u |
Gold Outcome 3 |
Foreign exchange |
Video 150 |
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1∙2v – Time intervals |
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NUM 1∙2v |
Bronze Outcome 1 |
Simple time intervals |
Video 151 |
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NUM 1∙2v |
Silver Outcome 2 |
Time intervals |
Video 152 |
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NUM 1∙2v |
Gold Outcome 3 |
Longer time intervals |
Video 153 |
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1∙2w – Calculating distance, speed and time |
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NUM 1∙2w |
Bronze Outcome 1 |
Distance, speed, time - basic decimal times |
Video 154 |
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NUM 1∙2w |
Silver Outcome 2 |
Distance, speed, time - decimal times |
Video 155 |
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NUM 1∙2w |
Gold Outcome 3 |
Problems in context |
Video 156 |
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1∙2x – The perimeter of a shape |
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NUM 1∙2x |
Bronze Outcome 1 |
Calculating perimeter with all sides given |
Video 157 |
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NUM 1∙2x |
Silver Outcome 2 |
Calculating perimeter with missing sides |
Video 158 |
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NUM 1∙2x |
Gold Outcome 3 |
Calculating a side when given perimeter |
Video 159 |
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1∙2y – Area of a rectangle, square and triangle |
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NUM 1∙2y |
Bronze Outcome 1 |
Area of a rectangle/square |
Video 160 |
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NUM 1∙2y |
Silver Outcome 2 |
Area of a triangle |
Video 161 |
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NUM 1∙2y |
Gold Outcome 3 |
Calculating a side when given the area |
Video 162 |
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1∙2z – Volume of a cuboid, cube and triangular prism |
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NUM 1∙2z |
Bronze Outcome 1 |
Volume of a cuboid/cube |
Video 163 |
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NUM 1∙2z |
Silver Outcome 2 |
Volume of a triangular prism |
Video 164 |
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NUM 1∙2z |
Gold Outcome 3 |
Calculating a side when given the volume |
Video 165 |
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1∙3a – Rounding to 1, 2 and 3 decimal places |
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NUM 1∙3a |
Bronze Outcome 1 |
Rounding to 1 decimal place |
Video 166 |
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NUM 1∙3a |
Silver Outcome 2 |
Rounding to 2 decimal places |
Video 167 |
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NUM 1∙3a |
Gold Outcome 3 |
Rounding to 3 decimal places |
Video 168 |
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1∙3b – Rounding to 1, 2 and 3 significant figures |
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NUM 1∙3b |
Bronze Outcome 1 |
Rounding to 1 significant figure |
Video 169 |
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NUM 1∙3b |
Silver Outcome 2 |
Rounding to 2 significant figures |
Video 170 |
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NUM 1∙3b |
Gold Outcome 3 |
Rounding to 3 significant figures |
Video 171 |
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1∙3c – Reading scales in centimetres, kilograms & litres |
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NUM 1∙3c |
Bronze Outcome 1 |
Reading length in centimetres |
Video 172 |
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NUM 1∙3c |
Silver Outcome 2 |
Reading weight in kilograms |
Video 173 |
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NUM 1∙3c |
Gold Outcome 3 |
Reading volume in litres |
Video 174 |
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1∙3d – Measuring angles in degrees |
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NUM 1∙3d |
Bronze Outcome 1 |
Measuring acute angles |
Video 175 |
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NUM 1∙3d |
Silver Outcome 2 |
Measuring obtuse angles |
Video 176 |
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NUM 1∙3d |
Gold Outcome 3 |
Measuring reflex angles |
Video 177 |
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1∙4a – Metric and imperial measures for length |
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|
NUM 1∙4a |
Bronze Outcome 1 |
Changing between mm, cm, m and km |
Video 178 |
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NUM 1∙4a |
Silver Outcome 2 |
Imperial lengths to metric in one step |
Video 179 |
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|
NUM 1∙4a |
Gold Outcome 3 |
Imperial lengths to metric in two steps |
Video 180 |
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1∙4b – Metric and imperial measures for weight |
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|
NUM 1∙4b |
Bronze Outcome 1 |
Changing between grams, kg & tonnes |
Video 181 |
|
|
NUM 1∙4b |
Silver Outcome 2 |
Imperial weights to metric in one step |
Video 182 |
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NUM 1∙4b |
Gold Outcome 3 |
Imperial weights to metric in two steps |
Video 183 |
|
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1∙5a– Explaining decisions as a result of calculations |
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|
NUM 1∙5a |
Bronze Outcome 1 |
“Best buy” comparisons |
Video 184 |
|
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NUM 1∙5a |
Silver Outcome 2 |
“Best buys” – 3 for the price of 2, etc! |
Video 185 |
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NUM 1∙5a |
Gold Outcome 3 |
“Best buys” – with percentages |
Video 186 |
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2∙1a– Interpreting bar graphs, stem-and-leaf diagrams and pie charts |
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|
NUM 2∙1a |
Bronze Outcome 1 |
Interpreting bar graphs |
Video 187 |
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|
NUM 2∙1a |
Silver Outcome 2 |
Interpreting stem-and –leaf diagrams |
Video 188 |
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|
NUM 2∙1a |
Gold Outcome 3 |
Interpreting pie charts |
Video 189 |
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2∙1b– Drawing bar graphs, stem-and-leaf diagrams and pie charts |
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|
NUM 2∙1b |
Bronze Outcome 1 |
Drawing bar graphs |
Video 190 |
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NUM 2∙1b |
Silver Outcome 2 |
Drawing stem-and–leaf diagrams |
Video 191 |
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NUM 2∙1b |
Gold Outcome 3 |
Drawing pie charts |
Video 192 |
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2∙3– Drawing bar graphs, stem-and-leaf diagrams and pie charts |
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NUM 2∙3 |
Bronze Outcome 1 |
Calculating probability |
Video 193 |
|
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NUM 2∙3 |
Silver Outcome 2 |
Probability as a fraction, decimal and % |
Video 194 |
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NUM 2∙3 |
Gold Outcome 3 |
Comparing probabilities |
Video 195 |
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