This subject will cover the following
Exponents and surds
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1. Solving surd equations
00:00 -
1.1 Solving radical equations part 1
03:26 -
1.2 Solving radical equations part 2
02:29 -
1.3 Solving radical equations part 3
03:49 -
1.4 Solving radical equations part 4
04:36 -
1.5 Radical equation example 1
05:31 -
1.6 Radical equation example 2
12:08 -
2. Application of exponentials
00:00 -
2.1 Exponents Part 1
27:13 -
2.2 Exponents Part 2
12:05 -
2.3 Exponents lesson 1
18:15 -
3. Rational exponents and surds
10:39 -
3.1 Simplifying radical expressions
08:11 -
3.2 Radical expressions with higher roots
09:01 -
4. Worksheets
00:00
Equations and inequalities
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1. Completing the square
00:00 -
1.1 Completing the square part 1
07:39 -
1.2 Completing the square part 2
14:03 -
1.3 Completing the square part 3
05:39 -
1.4 Completing the square part 4
06:28 -
1.5 Solving quadratic equations by completing the square
14:20 -
2. Quadratic formula
00:00 -
2.1 Solving quadratic equations by square root
11:18 -
2.2 Proof of quadratic formula
07:59 -
3. Substitution
00:00 -
4. Finding the equation
00:00 -
5. Nature of roots
00:00 -
5.1 The nature of roots
21:34 -
5.2 Discriminant of quadratic equations
10:29 -
6. Quadratic inequalities
00:00 -
6.1 Quadratic inequalities part 1
10:04 -
6.2 Quadratic inequalities part 2
10:04 -
7. Simultaneous equations
00:00 -
7.1 Solving systems of equations by elimination
12:58 -
7.2 Solving systems of equations by multiplication
12:15 -
8. Word problems
00:00 -
8.1 Solving quadratic equations by factorising part 1
06:09 -
8.2 Solving quadratic equations by factorising part 2
08:36 -
8.3 Applying radical equations part 1
05:39 -
8.4 Applying radical equations part 2
07:10 -
8.5 Applying radical equations part 3
03:34 -
8.6 Applying rational equations part 1
05:40 -
8.7 Applying rational equations part 2
06:15 -
9. Rate equations
00:00 -
9.1 Another take at the rate problem
03:49 -
10. Worksheets
00:00
Number patterns
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1. Quadratic sequences
00:00 -
1.1 Quadratic sequences Part 1
02:18 -
1.2 Quadratic sequences Part 2
03:59 -
1.3 Quadratic sequences
08:09 -
1.4 Quadratic number patterns advance part 1
02:18 -
1.5 Quadratic number patterns advance part 2
03:59 -
1.6 Quadratic number patterns
08:09 -
1.7 Sequences and series
19:27 -
2. Linear (arithmetic) sequences
00:00 -
2.1 Sequences and series lesson 1
30:44 -
3. Worksheets
00:00
Analytical geometry
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1. Equation of a line
00:00 -
2. Inclination of a line
00:00 -
3. Parallel and Perpendicular lines
00:00 -
3.1 Equations of parallel and perpendicular lines
09:27 -
4. Midpoint formula
06:55 -
5. Distance formula
09:51 -
6. Consolidation
00:00 -
6.1 Analytical Geometry consolidated
14:31 -
7. Worksheets
00:00
Functions
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1. Quadratic functions
00:00 -
1.1 Horizontal shifts
29:20 -
1.2 Parabola Part 1
07:37 -
1.3 Parabola Part 2
20:00 -
1.4 Applying quadratic functions part 1
04:54 -
1.5 Applying quadratic functions part 2
09:57 -
1.6 Applying quadratic functions part 3
07:00 -
1.7 Quadratic functions part 1
04:18 -
1.8 Quadratic functions part 2
07:37 -
1.9 Quadratic functions part 3
06:38 -
1.10 Quadratic roots
14:41 -
2. Average gradient
00:00 -
3. Hyperbolic functions
00:00 -
3.1 Hyperbola sketching
06:43 -
4. Exponential functions
00:00 -
5. The sine function
00:00 -
6. The cosine function
00:00 -
7. The tangent function
00:00 -
7.1 Sketching in different intervals Part 1
26:32 -
7.2 Sketching in different intervals Part 2
01:38 -
8. Transformations
00:00 -
8.1 Translating and reflecting functions
07:26 -
8.2 Questions involving translating and reflecting functions
09:58 -
9. Domain and range
29:49 -
9.1 Domain and range of a function given a formula
08:21 -
9.2 Domain of a radical function
02:01 -
10. Trig graphs: Period changes
29:22 -
11. Worksheets
00:00
Trigonometry
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1. Trigonometric identities
00:00 -
1.1 Trigonometric identities
25:07 -
1.2 Proving trigonometric identities
21:07 -
1.3 Proving trigonometric identities V1
15:15 -
1.4 Finding where identities are undefined
07:06 -
2. Reduction formula
00:00 -
2.1 Reduction of negative formula
31:15 -
2.2 Trigonometric quadrants
14:49 -
2.3 Co-functions
22:11 -
2.4 Trigonometry reduction formula
19:33 -
2.5 Reduction of special and non-special angles
25:42 -
3. Trigonometric equations
00:00 -
3.1 Boundary angles and factorisation
27:54 -
3.2 Trigonometric equations part 1
11:11 -
3.3 Trigonometric equations part 2
17:27 -
3.4 Trigonometric equations part 3
08:42 -
3.5 Trigonometric equations part 4
16:21 -
3.6 Trigonometric equations part 5
19:09 -
3.7 Solving trigonometric equations
22:40 -
3.8 General solution of trig equations
28:48 -
3.9 Horizontal shifts
00:00 -
3.10 Solving simple trig equations
23:59 -
3.11 Solving complex trig equations
19:42 -
3.12 Solving trig equations V2
22:51 -
3.13 Finding solutions in a given interval
20:56 -
3.14 General solutions of trig equations part 1
26:18 -
3.15 General solutions of trig equations part 2
15:41 -
3.16 Boundary angles
10:56 -
4. Area, sine and cosine rules
00:00 -
4.1 Solution of triangles
24:28 -
5. Special angles
25:10 -
6. Trigonometry quadrants
00:00 -
7. Trig Graphs
00:00 -
7.1 General trig graphs
26:29 -
8. Right angled triangles
00:00 -
8.1 Using reduction to express trig ratios in terms of variable
14:06 -
9. Worksheets
00:00 -
10. Consolidation
00:00 -
10.1 Trigonometry revision part 1
26:34 -
10.2 Trigonometry revision part 2
16:18 -
10.3 Trigonometry revision part 3
27:06 -
10.4 Trigonometry revision part 4
19:59 -
10.5 Trigonometry revision Part 5
13:48 -
10.6 Trigonometry revision Part 6
23:31
Measurement
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1. Area of a polygon
00:00 -
2. Right prisms and cylinders
00:00 -
3. Right pyramids, cones and spheres
00:00 -
4. Multiplying a dimension by a constant factor
00:00 -
5. Worksheets
00:00
Euclidean geometry
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1. Circle Geometry
00:00 -
1.1 Language and notation of the circle
11:26 -
1.2 Circle geometry strategies
18:22 -
2. Circular geometry theorems
00:00 -
2.1 Angle at centre Part 1
15:44 -
2.2 Angle at centre Part 2
17:00 -
2.3 Angles in semi circle in same segment
11:11 -
2.4 Tangents to a circle Part 1
21:23 -
2.5 Tangents to a circle Part 2
13:04 -
2.6 Chord theorems
21:11 -
3. Cyclic quadrilaterals
00:00 -
3.1 Cyclic quadrilateral Part 1
17:09 -
3.2 Cyclic quadrilaterals Part 2
16:22 -
3.3 Concyclic points
11:18 -
4. Proofs
00:00 -
4.1 Chord theorem proofs
04:42 -
4.2 Angle at centre proof
10:08 -
4.3 Opposite angles cyclic quadrilateral proof
05:28 -
4.4 Tangent chord theorem proof
08:43 -
5. Circle geometry riders
00:00 -
5.1 Circle geometry rider 1
10:29 -
5.2 Circle geometry rider 2
07:37 -
5.3 Circle geometry rider 3
11:33 -
5.4 Circle geometry rider 4
07:14 -
5.5 Circle geometry rider 5
08:56 -
5.6 Circle geometry rider 6
05:28 -
6. Worksheets
00:00
Finance, growth and decay
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1. Simple and compound depreciation
00:00 -
1.1 Changing interests part 1
21:10 -
1.2 Changing interests part 2
15:33 -
2. Timelines
00:00 -
3. Nominal and effective interest rates
26:14 -
3.1 Nominal and effective interest rates
00:00
Probability
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1. Dependent and independent events
00:00 -
2. Venn diagrams
00:00 -
2.1 Venn diagrams Part 1
18:37 -
2.2 Venn diagrams Part 2
19:25 -
3. Tree diagrams
33:36 -
3.1 Tree diagrams
00:00 -
4. Two-way tables and conditional probability
00:00 -
4.1 Conditional probability
28:29 -
5. Consolidation
00:00 -
6. Worksheets
00:00
Statistics
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1. Histograms
00:00 -
2. Ogives
00:00 -
3. Variance and standard deviations
00:00 -
3.1 Range, variation and standard deviation as measures of dispersion
12:48 -
4. Symmetric and skewed data
00:00 -
5. Identification of outliers
00:00 -
6. Cumulative Frequency
00:00 -
7. Quartiles, 5 number summary and boxplots
00:00 -
8. Worksheets
00:00
