4.8.3 Pythagoras in 3D | Mr. Flynn IB

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IGCSE

1. Numbers and the Number System

1.2 Fractions (8:28)
1.3 Recurring Decimals (10:02)
1.4.1 Prime Factors HCF and LCM (16:54)
1.4.2 Surds (Simplifying) (14:32)
1.4.3 Surds (Expanding Brackets) (6:30)
1.4.4 Surds (Rationalising the Denominator) (13:10)
1.4.5 Surds (Past Paper Questions) (15:03)
1.4.6 Laws of Indices (15:26)
1.5.1 Sets (15:06)
1.5.2 Venn Diagrams (18:17)
1.6.1 Percentages (increase and decrease) (12:43)
1.6.2 Reverse Percentages (7:01)
1.6.3 Percentage Change (3:54)
1.7.1 Ratio Intro (14:41)
1.7.2 Ratio (sharing) (8:33)
1.8.1 Significant Figures (9:08)
1.8.2 Upper and lower bounds (17:06)
1.9 Standard Form (9:24)

2. Equations Formulae and Identities

2.2.1 Expanding 3 Brackets (7:57)
2.2.2 Factorising (common factors) (5:44)
2.2.3 Difference of 2 Squares (8:21)
2.2.4 Factorising Quadratics (17:56)
2.2.5 Algebraic Fractions (27:06)
2.2.6 Completing the Square (24:45)
2.2.7 Proof (6:56)
2.3 Changing the Subject (9:28)
2.4.1 Solving Linear Equations (11:31)
2.5 Direct and Inverse Proportion (17:28)
2.6 Simultaneous Equations (14:37)
2.7.1 Solving Quadratics by Factorising (18:58)
2.7.3 The Quadratic Formula (15:19)
2.7.4 Simultaneous Equations (non linear) (9:38)
2.8.1 Solving Linear Inequalities (9:59)
2.8.2 Shading Inequalities (15:32)
2.8.3 Solving Quadratic Inequalities (19:04)
2.7.2 Solving by Completing the Square (2:33)

3. Sequences, Functions and Graphs

3.1.2 Arithmetic Sequences (15:58)
3.1.3 Arithmetic Series (15:15)
3.2.1 Functions Introduction (9:18)
3.2.2 Domain and Range (14:02)
3.2.3 Composite Functions (10:09)
3.2.4 Inverse Functions Introduction (7:42)
3.2.5 Finding Inverse Functions (10:25)
3.3.2 Midpoint of a Line Segment (4:48)
3.3.4 Gradient of a Line (12:08)
3.3.5 Parallel and Perpendicular lines (6:05)
3.3.6 Equation of a Straight Line (12:21)
3.3.7 Distance Between Two Points (4:41)
3.3.8 Difficult Straight Line Questions (36:42)
3.3.9 Trig Graphs (14:47)
3.3.10 Transformations of Graphs (26:55)
3.3.11 Transforming Sin and Cos graphs (19:25)
3.4.1 Differentiation Introduction (11:05)
3.4.2. Differentiation Rule (13:30)
3.4.3 Finding the Gradient (10:56)
3.4.4 Stationary Points (12:40)
3.4.5 Optimisation (15:01)
3.4.6 Kinematics (17:48)

4. Geometry and Trigonometry

4.4.2 Density (8:50)
4.4.3 Pressure (7:30)
4.4.4 Speed (6:26)
4.6.1 Circle Theorems Introduction (8:57)
4.6.2 Circle Theorems Examples 1 (6:38)
4.6.3 Circle Theorems Examples 2 (5:02)
4.6.4 Circle Theorems Examples 3 (3:29)
4.8.1 Soh Cah Toa (20:22)
4.8.2 Pythagoras- Theorem (10:49)
4.8.3 Pythagoras in 3D (14:32)
4.8.4 Trig in 3d (13:41)
4.8.5 Angles of Elevation and Depression (8:22)
4.8.6 Sine Rule (7:53)
4.8.7 Cosine Rule (8:22)
4.8.8 Area of a Triangle (10:48)
4.9.1 Parallelograms and Trapezia (8:13)
4.9.2 Circles, Arcs and Sectors (8:05)
4.10.1 Surface area of prisms and cylinders
4.10.2 Volume of Prisms and Cylinders (10:12)
4.10.3 Converting units of Area and Volume (7:07)
4.10.4 Spheres and Cones (17:48)
4.11.1 Similar Shapes (lengths) (6:00)
4.11.2 Similar Shapes (Area and Volume) (12:29)

5. Vectors and Transformation Geometry

5.1.1 Vectors Introduction (17:34)
5.1.2 Magnitude of a vector (9:58)
5.1.3 Vector proofs (15:21)

6. Statistics and Probability

6.1.1 Cumulative Frequency Graphs (12:10)
6.1.2 Histograms (15:32)
6.2.1 Discrete Data Stats (15:45)
6.2.2 Frequency Tables (15:07)
6.2.3 Grouped Data (6:59)
6.3.1 Probability And:Or Rules (11:20)
6.3.2 Relative Frequency (6:59)
6.3.3 Tree Diagrams (17:26)

Past Papers

2018 May Paper 1H (110:11)
2018 June Paper 2H (103:46)
2018 May Paper 1HR (91:30)
2018 June Paper 2HR (121:01)
2019 January Paper 1H (95:04)
2019 January Paper 2H (88:06)
2019 May Paper 1H (83:29)
2019 June Paper 2H (112:11)
2019 May Paper 1HR (107:59)
2019 June Paper 2HR (98:38)
2020 January Paper 1H (96:03)
2020 January Paper 2H (99:33)
2020 November Paper 1H (95:30)
2020 November Paper 2H (86:43)
2020 November Paper 1HR (110:22)
2020 November Paper 2HR (103:21)
2021 January Paper 1H (102:37)
2021 January Paper 2H (98:56)
2021 May Paper 1H (97:54)
2021 June Paper 2H (89:00)
2021 November Paper 1H (98:13)
2021 November Paper 2H (85:41)
2022 January Paper 1H (97:11)
2022 January Paper 2H (104:10)
2022 January Paper 1HR (98:57)
2022 January Paper 2HR (103:01)
2022 May Paper 1H (84:00)
2022 June Paper 2H (88:40)
2022 May Paper 1HR (74:26)
2022 June Paper 2HR (91:18)
2023 January Paper 1H (91:16)
2023 January Paper 2H (86:14)
2023 January Paper 1HR (97:49)
2023 January Paper 2HR (93:33)
2023 May Paper 1H (93:38)
2023 June Paper 2H (80:42)
2023 May Paper 1HR (79:51)
2023 June Paper 2HR (80:02)
2023 November Paper 1H (79:26)
2023 November Paper 2H
2024 May 1H (75:38)
2024 May 2H (70:25)
2024 May 1HR (73:57)
2024 May 2HR (74:09)
2024 November 1H (78:43)
2025 May Paper 1H (71:15)

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4.8.3 Pythagoras in 3D

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