National 5 Mathematics - Video Lessons
Below you will find video lessons for the National 5 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 - Working with Surds |
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E+F 1∙1a |
Bronze Outcome 1 |
Simplifying surds |
Video 1 |
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E+F 1∙1a |
Bronze Outcome 2 |
Rationalising the denominator |
Video 2 |
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E+F 1∙1a |
Silver Outcome 1 |
Simplifying surds |
Video 3 |
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E+F 1∙1a |
Silver Outcome 2 |
Rationalising the denominator |
Video 4 |
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E+F 1∙1a |
Gold Outcome 1 |
Simplifying surds |
Video 5 |
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E+F 1∙1a |
Gold Outcome 2 |
Rationalising the denominator |
Video 6 |
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1∙1b – Simplifying Expressions using the Laws of Indices |
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E+F 1∙1b |
Bronze Outcome 1 |
Multiplying and dividing indices |
Video 7 |
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E+F 1∙1b |
Bronze Outcome 2 |
More laws of indices |
Video 8 |
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E+F 1∙1b |
Bronze Outcome 3 |
Calculations using scientific notation |
Video 9 |
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E+F 1∙1b |
Silver Outcome 1 |
Multiplying and dividing indices |
Video 10 |
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E+F 1∙1b |
Silver Outcome 2 |
More laws of indices |
Video 11 |
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E+F 1∙1b |
Silver Outcome 3 |
Calculations using scientific notation |
Video 12 |
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E+F 1∙1b |
Gold Outcome 1 |
Multiplying and dividing indices |
Video 13 |
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E+F 1∙1b |
Gold Outcome 2 |
More laws of indices |
Video 14 |
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E+F 1∙1b |
Gold Outcome 3 |
Calculations using scientific notation |
Video 15 |
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1∙2a – Expansion of Brackets |
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E+F 1∙2a |
Bronze Outcome 1 |
Multiplying out single brackets |
Video 16 |
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E+F 1∙2a |
Bronze Outcome 2 |
Multiplying out double brackets |
Video 17 |
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E+F 1∙2a |
Bronze Outcome 3 |
Multiplying out triple brackets |
Video 18 |
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E+F 1∙2a |
Silver Outcome 1 |
Multiplying out single brackets |
Video 19 |
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E+F 1∙2a |
Silver Outcome 2 |
Multiplying out double brackets |
Video 20 |
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E+F 1∙2a |
Silver Outcome 3 |
Multiplying out triple brackets |
Video 21 |
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E+F 1∙2a |
Gold Outcome 1 |
Multiplying out single brackets |
Video 22 |
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E+F 1∙2a |
Gold Outcome 2 |
Multiplying out double brackets |
Video 23 |
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E+F 1∙2a |
Gold Outcome 3 |
Multiplying out triple brackets |
Video 24 |
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1∙2b – Factorising Expressions |
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E+F 1∙2b |
Bronze Outcome 1 |
Common factor |
Video 25 |
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E+F 1∙2b |
Bronze Outcome 2 |
Difference of 2 squares |
Video 26 |
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E+F 1∙2b |
Bronze Outcome 3 |
Trinomials |
Video 27 |
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E+F 1∙2b |
Silver Outcome 1 |
Common factor |
Video 28 |
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E+F 1∙2b |
Silver Outcome 2 |
Difference of 2 squares |
Video 29 |
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E+F 1∙2b |
Silver Outcome 3 |
Trinomials |
Video 30 |
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E+F 1∙2b |
Gold Outcome 1 |
Common factor |
Video 31 |
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E+F 1∙2b |
Gold Outcome 2 |
Difference of 2 squares |
Video 32 |
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E+F 1∙2b |
Gold Outcome 3 |
Trinomials |
Video 33 |
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1∙2c – Completing the Square |
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E+F 1∙2c |
Bronze Outcome 1 |
Completing the square |
Video 34 |
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E+F 1∙2c |
Silver Outcome 1 |
Completing the square |
Video 35 |
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E+F 1∙2c |
Gold Outcome 1 |
Completing the square |
Video 36 |
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1∙3 – Algebraic Fractions |
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E+F 1∙3 |
Bronze Outcome 1 |
Simplifying algebraic expressions |
Video 37 |
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E+F 1∙3 |
Bronze Outcome 2 |
Adding and subtracting |
Video 38 |
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E+F 1∙3 |
Bronze Outcome 3 |
Multiplying |
Video 39 |
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E+F 1∙3 |
Bronze Outcome 4 |
Dividing |
Video 40 |
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E+F 1∙3 |
Silver Outcome 1 |
Simplifying algebraic expressions |
Video 41 |
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E+F 1∙3 |
Silver Outcome 2 |
Adding and subtracting |
Video 42 |
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E+F 1∙3 |
Silver Outcome 3 |
Multiplying |
Video 43 |
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E+F 1∙3 |
Silver Outcome 4 |
Dividing |
Video 44 |
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E+F 1∙3 |
Gold Outcome 1 |
Simplifying algebraic expressions |
Video 45 |
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E+F 1∙3 |
Gold Outcome 2 |
Adding and subtracting |
Video 46 |
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E+F 1∙3 |
Gold Outcome 3 |
Multiplying |
Video 47 |
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E+F 1∙3 |
Gold Outcome 4 |
Dividing |
Video 48 |
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1∙4a – Calculating the gradient of a straight line |
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E+F 1∙4a |
Bronze Outcome 1 |
Calculating the gradient of a line |
Video 49 |
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E+F 1∙4a |
Silver Outcome 1 |
Calculating the gradient of a line |
Video 50 |
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E+F 1∙4a |
Gold Outcome 1 |
Calculating a point when given gradient |
Video 51 |
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1∙4b – Arcs & Sectors |
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E+F 1∙4b |
Bronze Outcome 1 |
Calculating the arc length |
Video 52 |
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E+F 1∙4b |
Bronze Outcome 2 |
Calculating the area of a sector |
Video 53 |
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E+F 1∙4b |
Silver Outcome 1 |
Calculating the arc length |
Video 54 |
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E+F 1∙4b |
Silver Outcome 2 |
Calculating the area of a sector |
Video 55 |
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E+F 1∙4b |
Gold Outcome 1 |
Calculating the diameter or angle |
Video 56 |
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E+F 1∙4b |
Gold Outcome 2 |
Calculating the radius or angle |
Video 57 |
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1∙4c – Volumes of Solids |
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E+F 1∙4c |
Bronze Outcome 1 |
Volume of a cylinder |
Video 58 |
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E+F 1∙4c |
Bronze Outcome 2 |
Volume of a cone |
Video 59 |
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E+F 1∙4c |
Bronze Outcome 3 |
Volume of a sphere |
Video 60 |
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E+F 1∙4c |
Silver Outcome 1 |
Volume of a cylinder |
Video 61 |
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E+F 1∙4c |
Silver Outcome 2 |
Volume of a cone |
Video 62 |
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E+F 1∙4c |
Silver Outcome 3 |
Volume of a sphere |
Video 63 |
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E+F 1∙4c |
Gold Outcome 1 |
Calculating height/radius of cylinder |
Video 64 |
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E+F 1∙4c |
Gold Outcome 2 |
Calculating height/radius of a cone |
Video 65 |
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E+F 1∙4c |
Gold Outcome 3 |
Calculating the radius of a sphere |
Video 66 |
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1∙4d – Rounding to significant figures |
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E+F 1∙4d |
Bronze Outcome 1 |
Rounding to 1 significant figure |
Video 67 |
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E+F 1∙4d |
Silver Outcome 1 |
Rounding to 2 significant figures |
Video 68 |
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E+F 1∙4d |
Gold Outcome 1 |
Rounding to 3 significant figures |
Video 69 |
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Relationships
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1∙1a – Straight Line |
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REL 1∙1a |
Bronze Outcome 1 |
Determining gradient & y-intercept |
Video 70 |
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REL 1∙1a |
Bronze Outcome 2 |
Identifying equation of straight line |
Video 71 |
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REL 1∙1a |
Bronze Outcome 3 |
Calculating equation of straight line |
Video 72 |
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REL 1∙1a |
Silver Outcome 1 |
Determining gradient & y-intercept |
Video 73 |
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REL 1∙1a |
Silver Outcome 2 |
Identifying equation of straight line |
Video 74 |
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REL 1∙1a |
Silver Outcome 3 |
Calculating equation of straight line |
Video 75 |
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REL 1∙1a |
Gold Outcome 1 |
Determining gradient & y-intercept |
Video 76 |
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REL 1∙1a |
Gold Outcome 2 |
Identifying equation of straight line |
Video 77 |
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REL 1∙1a |
Gold Outcome 3 |
Calculating equation of straight line |
Video 78 |
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1∙1b – Using Functional Notation |
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REL 1∙1b |
Bronze Outcome 1 |
Evaluating functions |
Video 79 |
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REL 1∙1b |
Bronze Outcome 2 |
Functions – working backwards |
Video 80 |
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REL 1∙1b |
Silver Outcome 1 |
Evaluating functions |
Video 81 |
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REL 1∙1b |
Silver Outcome 2 |
Functions – working backwards |
Video 82 |
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REL 1∙1b |
Gold Outcome 1 |
Evaluating functions |
Video 83 |
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REL 1∙1b |
Gold Outcome 2 |
Functions – working backwards |
Video 84 |
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1∙1c – Linear equations and inequalities |
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REL 1∙1c |
Bronze Outcome 1 |
Solving linear equations |
Video 85 |
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REL 1∙1c |
Bronze Outcome 2 |
Solving linear inequalities |
Video 86 |
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REL 1∙1c |
Silver Outcome 1 |
Solving linear equations |
Video 87 |
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REL 1∙1c |
Silver Outcome 2 |
Solving linear inequalities |
Video 88 |
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REL 1∙1c |
Gold Outcome 1 |
Solving linear equations |
Video 89 |
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REL 1∙1c |
Gold Outcome 2 |
Solving linear inequalities |
Video 90 |
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1∙1d - Simultaneous Equations |
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REL 1∙1d |
Bronze Outcome 1 |
Solving simultaneous equations |
Video 91 |
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REL 1∙1d |
Silver Outcome 1 |
Solving simultaneous equations |
Video 92 |
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REL 1∙1d |
Gold Outcome 1 |
Solving simultaneous equations |
Video 93 |
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1∙1e - Changing the subject of the formula |
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REL 1∙1e |
Bronze Outcome 1 |
Changing subject of formula – 1 step |
Video 94 |
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REL 1∙1e |
Bronze Outcome 2 |
Changing subject of formula – 2 step |
Video 95 |
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REL 1∙1e |
Silver Outcome 1 |
Changing subject of formula – 2 step |
Video 96 |
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REL 1∙1e |
Silver Outcome 2 |
Changing subject of formula – 3 step |
Video 97 |
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REL 1∙1e |
Gold Outcome 1 |
Solving for the denominator |
Video 98 |
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1∙2 - Graphs of Quadratic Functions |
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REL 1∙2 |
Bronze Outcome 1 |
Determining equation from graph |
Video 99 |
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REL 1∙2 |
Bronze Outcome 2 |
Sketching a quadratic function |
Video 100 |
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REL 1∙2 |
Bronze Outcome 3 |
Identifying features of quadratic |
Video 101 |
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REL 1∙2 |
Silver Outcome 1 |
Determining equation from graph |
Video 102 |
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REL 1∙2 |
Silver Outcome 2 |
Sketching a quadratic function |
Video 103 |
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REL 1∙2 |
Silver Outcome 3 |
Identifying features of quadratic |
Video 104 |
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REL 1∙2 |
Gold Outcome 1 |
Determining equation from graph |
Video 105 |
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REL 1∙2 |
Gold Outcome 2 |
Sketching a quadratic function |
Video 106 |
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REL 1∙2 |
Gold Outcome 3 |
Identifying features of quadratic |
Video 107 |
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1∙3a - Working with Quadratic Equations |
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REL 1∙3a |
Bronze Outcome 1 |
Solving quadratic equations graphically |
Video 108 |
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REL 1∙3a |
Bronze Outcome 2 |
By factorising |
Video 109 |
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REL 1∙3a |
Bronze Outcome 3 |
Using the quadratic formula |
Video 110 |
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REL 1∙3a |
Silver Outcome 1 |
Solving graphically |
Video 111 |
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REL 1∙3a |
Silver Outcome 2 |
By factorising |
Video 112 |
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REL 1∙3a |
Silver Outcome 3 |
Using the quadratic formula |
Video 113 |
https://youtu.be/Q6Hn6sgCqvM |
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REL 1∙3a |
Gold Outcome 1 |
Solving graphically |
Video 114 |
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REL 1∙3a |
Gold Outcome 2 |
By factorising |
Video 115 |
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REL 1∙3a |
Gold Outcome 3 |
Using the quadratic formula |
Video 116 |
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1∙3b - Using the discriminant |
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REL 1∙3b |
Bronze Outcome 1 |
Calculating the discriminant |
Video 117 |
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REL 1∙3b |
Silver Outcome 1 |
Solving for equal roots |
Video 118 |
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REL 1∙3b |
Gold Outcome 1 |
Solving for real or no real roots |
Video 119 |
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1∙4a - Applying Pythagoras' Theorem |
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REL 1∙4a |
Bronze Outcome 1 |
Converse of Pythagoras |
Video 120 |
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REL 1∙4a |
Silver Outcome 1 |
3D Pythagoras |
Video 121 |
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REL 1∙4a |
Gold Outcome 1 |
Pythagoras in circles |
Video 122 |
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1∙4b - Angles in Semi-circles & Tangents to Circles |
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REL 1∙4b |
Bronze Outcome 1 |
Angles in polygons |
Video 123 |
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REL 1∙4b |
Silver Outcome 1 |
Triangles in semi-circles & tangents |
Video 124 |
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REL 1∙4b |
Gold Outcome 1 |
Right angles and isosceles triangles |
Video 125 |
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1∙4c - Using Similarity |
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REL 1∙4c |
Bronze Outcome 1 |
Similar shapes - enlargement |
Video 126 |
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REL 1∙4c |
Bronze Outcome 2 |
Similar areas – enlargement |
Video 127 |
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REL 1∙4c |
Bronze Outcome 3 |
Similar volumes - enlargement |
Video 128 |
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REL 1∙4c |
Silver Outcome 1 |
Similar shapes - reduction |
Video 129 |
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REL 1∙4c |
Silver Outcome 2 |
Similar areas – reduction |
Video 130 |
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REL 1∙4c |
Silver Outcome 3 |
Similar volumes - reduction |
Video 131 |
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REL 1∙4c |
Gold Outcome 1 |
Similar triangles |
Video 132 |
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REL 1∙4c |
Gold Outcome 2 |
Similar areas – working backwards |
Video 133 |
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REL 1∙4c |
Gold Outcome 3 |
Similar volumes – working backwards |
Video 134 |
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1∙5a - Identifying features on graphs of trigonometric functions |
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REL 1∙5a |
Bronze Outcome 1 |
Identifying features on trig graphs |
Video 135 |
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REL 1∙5a |
Bronze Outcome 2 |
Sketching trig graphs |
Video 136 |
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REL 1∙5a |
Bronze Outcome 3 |
Exact values |
Video 137 |
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REL 1∙5a |
Silver Outcome 1 |
Identifying features on trig graphs |
Video 138 |
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REL 1∙5a |
Silver Outcome 2 |
Sketching trig graphs |
Video 139 |
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REL 1∙5a |
Silver Outcome 3 |
Exact values |
Video 140 |
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REL 1∙5a |
Gold Outcome 1 |
Identifying features on trig graphs |
Video 141 |
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REL 1∙5a |
Gold Outcome 2 |
Sketching trig graphs |
Video 142 |
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REL 1∙5a |
Gold Outcome 3 |
Exact values |
Video 143 |
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1∙5a - Trigonometric equations and identities |
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REL 1∙5b |
Bronze Outcome 1 |
Solving trig equations |
Video 144 |
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REL 1∙5b |
Silver Outcome 1 |
Solving trig equations |
Video 145 |
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REL 1∙5b |
Silver Outcome 2 |
Trig identities |
Video 146 |
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REL 1∙5b |
Gold Outcome 1 |
Solving trig equations |
Video 147 |
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REL 1∙5b |
Gold Outcome 2 |
Trig identities |
Video 148 |
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Applications
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1∙1 - Trigonometry in triangles |
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APP 1∙1 |
Bronze Outcome 1 |
Area of a triangle |
Video 149 |
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APP 1∙1 |
Bronze Outcome 2 |
Sine rule – finding a side |
Video 150 |
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APP 1∙1 |
Bronze Outcome 3 |
Cosine rule – finding a side |
Video 151 |
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APP 1∙1 |
Silver Outcome 1 |
Area of a triangle |
Video 152 |
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APP 1∙1 |
Silver Outcome 2 |
Sine rule – finding a side |
Video 153 |
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APP 1∙1 |
Silver Outcome 3 |
Cosine rule – finding a side |
Video 154 |
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APP 1∙1 |
Gold Outcome 1 |
Finding a side/angle when given area |
Video 155 |
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APP 1∙1 |
Gold Outcome 2 |
Sine rule – finding an angle |
Video 156 |
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APP 1∙1 |
Gold Outcome 3 |
Cosine rule – finding an angle |
Video 157 |
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1∙2 - Vectors |
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APP 1∙2 |
Bronze Outcome 1 |
Adding vectors |
Video 158 |
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APP 1∙2 |
Bronze Outcome 2 |
Working with 2D vectors |
Video 159 |
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APP 1∙2 |
Bronze Outcome 3 |
Using vector components |
Video 160 |
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APP 1∙2 |
Bronze Outcome 4 |
Calculating magnitude |
Video 161 |
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APP 1∙2 |
Silver Outcome 1 |
Subtracting vectors |
Video 162 |
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APP 1∙2 |
Silver Outcome 2 |
3D coordinates |
Video 163 |
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APP 1∙2 |
Silver Outcome 3 |
Using vector components |
Video 164 |
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APP 1∙2 |
Silver Outcome 4 |
Calculating magnitude |
Video 165 |
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APP 1∙2 |
Gold Outcome 1 |
Sketching vectors |
Video 166 |
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APP 1∙2 |
Gold Outcome 2 |
Vector journeys |
Video 167 |
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APP 1∙2 |
Gold Outcome 3 |
Using vector components |
Video 168 |
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APP 1∙2 |
Gold Outcome 4 |
Calculating magnitude |
Video 169 |
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1∙3a - Working with percentages |
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APP 1∙3a |
Bronze Outcome 1 |
Calculating an original quantity |
Video 170 |
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APP 1∙3a |
Bronze Outcome 2 |
Appreciation |
Video 171 |
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APP 1∙3a |
Bronze Outcome 3 |
Depreciation |
Video 172 |
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APP 1∙3a |
Silver Outcome 1 |
Calculating an original quantity |
Video 173 |
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APP 1∙3a |
Silver Outcome 2 |
Appreciation |
Video 174 |
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APP 1∙3a |
Silver Outcome 3 |
Depreciation |
Video 175 |
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APP 1∙3a |
Gold Outcome 1 |
Calculating an original quantity |
Video 176 |
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APP 1∙3a |
Gold Outcome 2 |
Appreciation |
Video 177 |
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APP 1∙3a |
Gold Outcome 3 |
Depreciation |
Video 178 |
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1∙3b - Working with fractions |
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APP 1∙3b |
Bronze Outcome 1 |
Adding & subtracting fractions |
Video 179 |
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APP 1∙3b |
Bronze Outcome 2 |
Multiplying fractions |
Video 180 |
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APP 1∙3b |
Bronze Outcome 3 |
Dividing fractions |
Video 181 |
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APP 1∙3b |
Silver Outcome 1 |
Adding & subtracting fractions |
Video 182 |
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APP 1∙3b |
Silver Outcome 2 |
Multiplying fractions |
Video 183 |
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APP 1∙3b |
Silver Outcome 3 |
Dividing fractions |
Video 184 |
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APP 1∙3b |
Gold Outcome 1 |
Adding & subtracting fractions |
Video 185 |
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APP 1∙3b |
Gold Outcome 2 |
Multiplying fractions |
Video 186 |
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APP 1∙3b |
Gold Outcome 3 |
Dividing fractions |
Video 187 |
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1.4 - Analysing data sets using statistcs |
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APP 1∙4 |
Bronze Outcome 1 |
Semi-interquartile range |
Video 188 |
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APP 1∙4 |
Bronze Outcome 2 |
Standard deviation |
Video 189 |
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APP 1∙4 |
Bronze Outcome 3 |
Scatter graphs |
Video 190 |
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APP 1∙4 |
Silver Outcome 1 |
Semi-interquartile range |
Video 191 |
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APP 1∙4 |
Silver Outcome 2 |
Standard deviation |
Video 192 |
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APP 1∙4 |
Silver Outcome 3 |
Scatter graphs |
Video 193 |
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APP 1∙4 |
Gold Outcome 1 |
Semi-interquartile range |
Video 194 |
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APP 1∙4 |
Gold Outcome 2 |
Standard deviation |
Video 195 |
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APP 1∙4 |
Gold Outcome 3 |
Scatter graphs |
Video 196 |
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