This subject will cover the following
Patterns, sequences and series
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1. Arithmetic sequences
00:00 -
1.1 Arithmetic sequences V1
04:14 -
1.2 Arithmetic Sequences V2
05:45 -
1.3 Linear Number Patterns
07:13 -
1.4 Sequences and series lesson 1
22:06 -
1.5 Sequences and series lesson 2
21:20 -
2. Geometric sequences
06:11 -
2.1 Geometric sequences part 1
26:21 -
2.2 Geometric sequences part 2
20:30 -
3. Finite Arithmetic series
23:43 -
3.1 Arithmetic series
26:28 -
3.2 Proof Sn arithmetic series
03:54 -
4. Finite geometric series
05:02 -
5. Infinite Series
21:51 -
6. Sigma Notation
36:32 -
6.1 Series and sigma notation
28:59 -
7. General worksheets & tests
00:00 -
7.1 Sequences and series general part 1
21:50 -
7.2 Sequences and series general part 2
15:39 -
8. Exam Revision
00:00 -
8.1 Sequences & Series lesson – Question 1
14:58 -
8.2 Sequences & Series lesson – Question 2
15:52 -
8.3 Sequences & Series lesson – Question 3
08:57 -
8.4 Sequences & Series lesson – Question 4
16:11 -
8.5 Sequences & Series lesson – Question 5
07:56 -
8.6 Sequences & Series lesson – Question 6
06:28 -
8.7 Sequences & Series lesson – Question 7
03:37 -
8.8 Sequences & Series lesson – Question 8
10:26 -
8.9 Sequences & Series lesson – Question 9
07:47 -
8.10 Sequences & Series lesson – Question 10
10:59 -
8.11 Sequences & Series lesson – Question 11
08:57
Functions
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1. Functions and relations
00:00 -
1.1 Translating and reflecting functions part 1
07:27 -
1.2 Translating and reflecting functions part 2
09:58 -
1.3 Point of intersection
02:52 -
2. Inverse functions
00:00 -
2.1 Introduction to functions
09:48 -
2.2 Graphing logarithmic expressions
09:24 -
2.3 Fancier logarithm expressions
04:34 -
2.4 Logarithmic equations part 1
01:41 -
2.5 Logarithmic equations part 2
02:15 -
2.6 Solving logarithmic equations
03:42 -
2.7 Logarithms
07:16 -
2.8 Change of base formula
05:13 -
2.9 Circles and logarithms
11:50 -
3. Linear functions
06:58 -
4. Quadratic functions
00:00 -
4.1 Parabola Sketching V1
09:56 -
4.2 Parabola Sketching V2
00:00 -
4.3 Finding equation of parabola
06:50 -
4.4 Graphing radical functions
10:31 -
4.5 Inverse functions example 1
07:27 -
4.6 Inverse functions example 2
07:49 -
5. Exponential functions
00:00 -
5.1 Graphs of exponential and log functions Part 1
22:38 -
5.2 Graphs of exponential and log functions Part 2
25:00 -
6. Hyperbola
06:44 -
7. Cubic functions
00:00 -
8. General worksheets & tests
00:00 -
8.1 Revision 1
31:07 -
8.2 Revision 2
32:58 -
8.3 Revision 3
32:30 -
9. Exam Revision
00:00 -
9.1 Functions & Graphs lesson – Question 1
28:07 -
9.2 Functions & Graphs lesson – Question 2
06:28 -
9.3 Functions & Graphs lesson – Question 3
08:33 -
9.4 Functions & Graphs lesson – Question 4
24:22 -
9.5 Functions & Graphs lesson – Question 5
18:01 -
9.6 Functions & Graphs lesson – Question 6
09:44 -
9.7 Functions & Graphs lesson – Question 7
08:26 -
9.8 Functions & Graphs lesson – Question 8
15:04 -
9.9 Functions & Graphs lesson – Question 9
22:48 -
9.10 Functions & Graphs lesson – Question 10
08:23 -
9.11 Functions & Graphs lesson – Question 11
07:28
Finance
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1. Calculating the period of an investment
00:00 -
2. Annuities
10:54 -
2.1 Introduction to annuities
10:54 -
3. Future value annuities
00:00 -
4. Present value annuities
00:00 -
4.1 Calculating payments
06:46 -
4.2 Calculating the outstanding balance on a loan
11:03 -
5. Analysing investment and loan options
00:00 -
5.1 Calculating the interest vs capital split for single payment
04:42 -
5.2 Calculating the interest vs capital contribution across a range of payments
03:47 -
6. General worksheets & tests
00:00 -
7. Exam Revision
00:00 -
7.1 Finance lesson – Question 1
05:29 -
7.2 Finance lesson – Question 2
05:13 -
7.3 Finance lesson – Question 3
05:26 -
7.4 Finance lesson – Question 4
10:33 -
7.5 Finance lesson – Question 5
14:16 -
7.6 Finance lesson – Question 6
10:28 -
7.7 Finance lesson – Question 7
05:46 -
7.8 Finance lesson – Question 8
07:50 -
7.9 Finance lesson – Question 9
03:11 -
7.10 Finance lesson – Question 10
08:17 -
7.11 Finance lesson – Question 11
13:21 -
7.12 Finance lesson – Question 12
08:28
Trigonometry
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1. Compound angle identities
00:00 -
1.1 Trigonometric compound angles part 1
11:29 -
1.2 Trigonometric compound angles part 2
21:07 -
1.3 Trigonometric compound angles part 3
18:52 -
2. Double angle identities
00:00 -
2.1 Trigonometric double angles part 1
16:02 -
2.2 Trigonometric double angles part 2
35:07 -
3. Solving equations
00:00 -
3.1 Trigonometric equations involving double and compound angles
20:41 -
3.2 Boundary angles and factorisation
27:54 -
4. Applications of trigonometric functions
00:00 -
4.1 Trigonometry revision exercises
27:21 -
5. 3D Trigonometry
07:32 -
6. General worksheets & tests
00:00 -
7. Exam Revision
00:00 -
7.1 Trigonometry lesson – Question 1
07:14 -
7.2 Trigonometry lesson – Question 2
04:43 -
7.3 Trigonometry lesson – Question 3
04:02 -
7.4 Trigonometry lesson – Question 4
07:19 -
7.5 Trigonometry lesson – Question 5
03:58 -
7.6 Trigonometry lesson – Question 6
04:19 -
7.7 Trigonometry lesson – Question 7
03:05 -
7.8 Trigonometry lesson – Question 8
03:33 -
7.9 Trigonometry lesson – Question 9
07:15 -
7.10 Trigonometry lesson – Question 10
02:03 -
7.11 Trigonometry lesson – Question 11
05:46 -
7.12 Trigonometry lesson – Question 12
06:32 -
7.13 Trigonometry lesson – Question 13
07:45 -
7.14 Trigonometry lesson – Question 14
08:03 -
7.15 Trigonometry Lesson 2 – Question 1
16:29 -
7.16 Trigonometry Lesson 2 – Question 2, Example 1
08:22 -
7.17 Trigonometry Lesson 2 – Question 2, Example 2
07:37 -
7.18 Trigonometry Lesson 2 – Question 3, Example 1
06:01 -
7.19 Trigonometry Lesson 2 – Question 3, Example 2
09:00 -
7.20 Trigonometry Lesson 2 – Question 3, Example 3
11:01 -
7.21 Trigonometry Lesson 2 – Question 4, Example 1
19:08 -
7.22 Trigonometry Lesson 2 – Question 4, Example 2
16:43 -
7.23 Trigonometry Lesson 2 – Question 4, Example 3
11:21
Algebra and Equations (& inequalities)
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1. General Algebra & Equations
00:00 -
1.1 Algebra & Equations – Question 1
04:39 -
1.2 Algebra & Equations – Question 2
04:41 -
1.3 Algebra & Equations – Question 3
06:49 -
1.4 Algebra & Equations – Question 4
05:17 -
1.5 Algebra & Equations – Question 5
03:36 -
1.6 Algebra & Equations – Question 6
06:58 -
1.7 Algebra & Equations – Question 7
02:12 -
1.8 Algebra & Equations – Question 8
03:40 -
1.9 Algebra & Equations – Question 9
01:26 -
1.10 Algebra & Equations – Question 10
01:26 -
1.11 Algebra & Equations – Question 11
01:16 -
1.12 Algebra & Equations – Question 12
01:16 -
1.13 Algebra & Equations – Question 13
01:26 -
1.14 Algebra & Equations – Question 14
03:17 -
1.15 Algebra & Equations – Question 15
02:37 -
1.16 Algebra & Equations – Question 16
03:32 -
1.17 Algebra & Equations – Question 17
03:25 -
1.18 Algebra & Equations – Question 18
02:12 -
1.19 Algebra & Equations – Question 19
05:35 -
1.20 Algebra & Equations – Question 20
05:35 -
1.21 Algebra & Equations – Question 21
02:38 -
1.22 Algebra & Equations – Question 22
03:22 -
2. Remainder theorem
00:00 -
3. Factor theorem
00:00 -
4. Solving cubic equations
00:00 -
5. Sum of roots
00:00
Differential calculus
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1. Limits
00:00 -
1.1 Pre Calculus Limits
17:25 -
2. Differentiation from first principles
10:31 -
2.1 Basic calculus differentiation from first principle
20:16 -
2.2 Differentiation by first principle made easy
09:54 -
3. Rules for differentiation
00:00 -
3.1 Calculating derivatives using the rule
10:09 -
3.2 Basic calculus differentiation
26:02 -
3.3 Calculus – Question 1
08:20 -
3.4 Calculus – Question 2
04:31 -
3.5 Calculus – Question 3
04:04 -
3.6 Calculus – Question 4
02:24 -
4. Equation of a tangent to a curve
22:08 -
5. Second derivative
00:00 -
6. Sketching graphs
00:00 -
6.1 Sketching graphs part 1
19:10 -
6.2 Sketching graphs part 2
24:42 -
6.3 Sketching graphs part 3
06:27 -
6.4 Stationary points
31:20 -
7. Applications of differential calculus
00:00 -
7.1 Application problem with quadratic formula
06:07 -
7.2 Derivatives and what they tell us
06:56 -
7.3 Application of derivatives
20:32 -
8. Average gradient
00:00 -
8.1 Pre Calculus rates gradient
19:45 -
8.2 Pre Calculus average gradient
13:37 -
9. Rate of change
12:57 -
10. Optimisation
00:00 -
10.1 Basic calculus optimisation part 1
26:58 -
10.2 Basic calculus optimisation part 2
10:38 -
10.3 Basic calculus optimisation part 3
24:05 -
11. General worksheets & tests
00:00 -
12. Exam Revision
00:00 -
12.1 Calculus lesson – Question 1
13:35 -
12.2 Calculus lesson – Question 2
15:12 -
12.3 Calculus lesson – Question 3
08:31 -
12.4 Calculus lesson – Question 4
14:44 -
12.5 Calculus lesson – Question 5
10:11 -
12.6 Calculus lesson – Question 6
08:14 -
12.7 Calculus lesson – Question 7
17:20 -
12.8 Calculus lesson – Question 8
15:28 -
12.9 Calculus lesson – Question 9
16:20
Analytical geometry
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1. Equation of a circle
00:00 -
1.1 Equation of a circle V1
04:32 -
1.2 Equation of a circle V2
06:22 -
1.3 Equation of a circle V3
10:39 -
1.4 Equation of a circle V4
09:22 -
1.5 Relationship between a circle and a point
03:09 -
2. Tangents
00:00 -
2.1 Equation of a tangent to a circle
06:44 -
2.2 Length of a tangent
03:29 -
3. Fourth vertex of a parallelogram
04:13 -
4. Worksheets & Tests
00:00 -
5. Exam Revision
00:00 -
5.1 Analytical Geometry lesson – Question 1
27:15 -
5.2 Analytical Geometry lesson – Question 2
10:21 -
5.3 Analytical Geometry lesson – Question 3
09:32 -
5.4 Analytical Geometry lesson – Question 4
12:37 -
5.5 Analytical Geometry lesson – Question 5
11:13 -
5.6 Analytical Geometry lesson – Question 6
11:16 -
5.7 Analytical Geometry lesson – Question 7
19:54 -
5.8 Analytical Geometry lesson – Question 8
11:00 -
5.9 Analytical Geometry lesson – Question 9
05:49 -
5.10 Analytical Geometry lesson – Question 10
05:40
Euclidean geometry
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1. Ratio and proportion
00:00 -
1.1 Proportional intercepts part 1
12:48 -
1.2 Proportional intercept part 2
08:16 -
1.3 Theorem proof: Proportional intercepts
11:08 -
1.4 Proofs
26:44 -
1.5 Topic overview
15:38 -
2. Polygons
00:00 -
3. Triangles
00:00 -
4. Proofs
00:00 -
4.1 Proof of tan chord theorem
02:56 -
4.2 Proof of opposite angles of cyclic quad supplementary
02:47 -
4.3 Proof of proportional intercept theorem
04:39 -
4.4 Proof of chord theorem
02:22 -
4.5 Proof of angle at centre
03:40 -
5. Pythagorean theorem
00:00 -
6. Similarity
04:37 -
6.1 Similar triangles part 1
15:42 -
6.2 Similar triangles part 2
13:48 -
6.3 Angle bisector theorem proof
08:49 -
6.4 Angle bisector theorem examples
03:18 -
7. Theory, Riders and Worksheets
00:00 -
7.1 Geometric rider 7
06:53 -
7.2 Geometric rider 8
10:41 -
7.3 Geometric rider 9
14:01 -
7.4 Geometric rider 10
11:47 -
7.5 Geometric rider 11
08:13 -
7.6 Geometry revision part 1
27:46 -
7.7 Geometry revision part 2
13:24 -
7.8 Geometry revision part 3
23:41 -
7.9 Extension question
16:41 -
8. Exam Revision
00:00 -
8.1 Euclidean Geometry lesson – Question 1
16:59 -
8.2 Euclidean Geometry lesson – Question 2
15:13 -
8.3 Euclidean Geometry lesson – Question 3
14:43 -
8.4 Euclidean Geometry lesson – Question 4 & 5
06:39 -
8.5 Euclidean Geometry lesson – Question 6 & 7
15:34 -
8.6 Euclidean Geometry lesson – Question 8
07:20 -
8.7 Euclidean Geometry lesson – Question 9
12:24 -
8.8 Euclidean Geometry lesson – Question 10
12:07 -
8.9 Euclidean Geometry lesson – Question 11 & 12
11:23 -
8.10 Euclidean Geometry lesson – Question 13
12:53 -
8.12 Euclidean Geometry lesson 2 – Question 2
00:00
Statistics
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1. Curve fitting
00:00 -
2. Scatter plots and Correlation
00:00 -
3. Consolidation
00:00 -
4. Bivariate data
00:00 -
5. Interpolation and Extrapolation
00:00 -
6. Worksheets & Tests
00:00 -
7. Exam Revision
00:00 -
7.1 Statistics lesson – Question 1
16:42 -
7.2 Statistics lesson – Question 2
11:19 -
7.3 Statistics lesson – Question 3
06:15 -
7.4 Statistics lesson – Question 4
10:20 -
7.5 Statistics lesson – Question 5
12:42 -
7.6 Statistics lesson – Question 6
21:49 -
7.7 Statistics lesson – Question 7
12:16 -
7.8 Statistics lesson – Question 8 & 9
10:34 -
7.9 Statistics lesson – Question 10 & 11
10:34
Counting and probability
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1. Identities
00:00 -
2. Tools and techniques
00:00 -
3. The fundamental counting principle
00:00 -
4. Factorial notation
00:00 -
5. Application to counting problems
00:00 -
6. Application to probability problems
00:00 -
7. Exam revision
00:00 -
7.1 Probability lesson – Venn Diagrams Example 1
09:52 -
7.2 Probability lesson – Venn Diagrams Example 2
08:08 -
7.3 Probability lesson – Venn Diagrams Example 3 & 4
17:11 -
7.4 Tree Diagrams – Example 1
07:35 -
7.5 Tree Diagrams – Example 2 & 3
10:36 -
7.6 Contingency Tables – Example 1
07:19 -
7.7 Counting Principles – Example 1 & 2
11:15 -
7.8 Counting Principles – Example 3 & 4
13:06 -
7.9 Counting Principles – Example 5 & 6
09:44
Past papers
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Past papers
00:00
