Topic 1: Number and algebra
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1.1 Scientific notation (10:44)
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1.2.1 Arithmetic sequences and series (12:13)
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1.2.2 Sigma notation (5:05)
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1.3 Geometric sequences and series (13:52)
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1.4.1 Compound interest (11:51)
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1.4.2 Depreciation (6:21)
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1.4.3 Inflation (5:28)
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1.5.1 Laws of exponents (4:04)
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1.5.2 Introduction to logs (10:43)
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1.5.3 The number e (10:25)
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1.6 Simple deductive proofs (8:25)
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1.7.1 More exponents (12:35)
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1.7.2 Laws of logarithms (10:01)
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1.7.3 Change of base law (8:37)
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1.8.1 Sum of an infinite geometric sequence (7:45)
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1.8.2 System of linear equations (3:17)
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1.8.3 Roots of a polynomial (6:03)
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1.9.1 Binomial expansion (intro and full expansion) (20:16)
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1.9.2 Binomial expansion (finding a term) (11:44)
Topic 2: Functions
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2.1.1 Gradient of a line (8:34)
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2.1.2 Equation of a straight line (5:58)
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2.1.3 Parallel and perpendicular lines (8:25)
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2.2.1 Functions introduction (13:26)
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2.2.2 Evaluating functions (6:08)
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2.2.3 Inverse functions (11:21)
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2.3 Sketching functions (9:07)
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2.4.1 Features of graphs (12:22)
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2.4.2 Asymptotes (9:01)
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2.5.1 Composite functions (11:11)
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2.5.2 Finding inverse functions (9:44)
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2.6.1 Quadratics 3 forms (6:13)
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2.6.2 Factorising quadratics (10:27)
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2.6.3 Vertex form (8:10)
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2.7.1 Solving quadratic equations (10:46)
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2.7.2 Quadratic inequalities (9:54)
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2.7.3 The discriminant (9:53)
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2.8 Rational functions (10:14)
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2.9.1 Exponential modelling (14:33)
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2.9.2 Logarithmic functions (8:27)
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2.10.1 Solving equations using substitution (8:15)
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2.10.2 Solving equations with gdc (9:12)
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2.11.1 Transformations (14:13)
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2.11.2 Composite transformations (12:46)
Topic 3: Geometry and trigonometry
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3.1.1 Midpoint of a line segment (4:54)
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3.1.2 Distance between 2 points (5:37)
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3.1.3 Volume and surface area (14:44)
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3.1.4 Trigonometry in 3d (15:12)
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3.2.1 Pythagoras' theorem (3:00)
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3.2.2 Soh cah toa (8:21)
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3.2.3 Sine rule (6:16)
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3.2.4 Cosine rule (6:59)
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3.2.5 Area of a triangle (2:58)
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3.3.1 Bearings (10:46)
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3.3.2 Angles of elevation and depression (8:22)
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3.4.1 Radians (8:14)
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3.4.2 Arcs and sectors (9:12)
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3.5.1 Mr. Flynn's exact triangles (8:06)
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3.5.2 Unit circle (18:37)
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3.5.3 The CAST diagram (15:41)
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3.5.4 Graphs of sin, cos and tan (10:45)
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3.5.5 Sine rule (ambiguous case) (6:00)
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3.6 Trig identities (11:42)
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3.7.1 Sinusoidal graphs (13:04)
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3.7.2 Sinusoidal modelling (11:59)
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3.8.1 Solving trig equations (12:50)
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3.8.2 Solving trig equations with identities (11:28)
Topic 4: Statistics and probability
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4.1.1 Discrete v continuous data (7:28)
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4.1.2 Sampling techniques (10:44)
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4.2.1 Histograms and cumulative frequency curves (21:04)
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4.2.2 Box and whisker diagram (6:37)
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4.2.3 Interpreting box plots (8:23)
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4.2.4 Outliers (9:30)
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4.3.1 Averages and spread (11:22)
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4.3.2 Frequency tables (14:10)
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4.3.3 Constant changes to data (8:42)
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4.3.4 Variance and Standard Deviation by hand (8:12)
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4.4 Linear regression and correlation (21:53)
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4.5 Probability formulae (9:47)
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4.6.1 Venn diagrams (19:15)
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4.6.2 Tree diagrams (13:29)
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4.7 Discrete random variables (13:41)
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4.8 Binomial distribution (17:18)
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4.9 Normal distribution (28:45)
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4.10 Regression line of x on y (11:01)
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4.11 Testing for independence (8:45)
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4.12 Normal distribution (finding mean and std. dev.) (10:04)
Topic 5: Calculus
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5.1.1 Introduction to differentiation (13:20)
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5.1.2 Introduction to limits (16:17)
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5.2.1 Increasing and decreasing functions (12:49)
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5.3.1 Differentiation (the power rule) (10:27)
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5.3.2 Derivative at a point (6:03)
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5.4 Tangents and normals (9:49)
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5.5.1 Integration power rule (10:07)
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5.5.2 Finding f(x) (5:24)
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5.5.3 Definite integration (8:37)
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5.5.4 Area under the curve (15:03)
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5.5.5 Finding a limit (6:34)
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5.6.1 Derivative of sinx, cosx, lnx, e^x (5:19)
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5.6.2 Chain rule (14:11)
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5.6.3 Product rule (5:47)
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5.6.4 Quotient rule (8:54)
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5.7.1 Relationship between graphs and derivatives (13:27)
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5.7.2 Sketching derivatives (14:23)
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5.7.3 Sketching derivatives with gdc (6:40)
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5.8.1 Classifying stationary points (13:40)
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5.8.2 Points of inflexion (7:14)
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5.8.3 Optimization (16:10)
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5.9 Kinematics (28:12)
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5.10.1 Integrating e^x and 1/x (5:33)
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5.10.2 Integrating sin and cos (2:57)
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5.10.3 Inverse chain rule (10:18)
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5.10.4 Integration by substitution (19:09)
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5.11 Area between two curves (16:34)
Internal assessment
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1. IA Introduction (10:22)
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2.1 A Presentation (12:45)
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2.2 B Mathematical communication (9:25)
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2.3 C Personal engagement (11:04)
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2.4 D Reflection (5:34)
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2.5 E Use of mathematics (8:42)
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3.1 Choosing a topic 1 (17:52)
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3.2 Choosing a topic 2 (19:57)
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4.1 Quadratic from basketball shot video (8:04)
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4.1.2 Basketball analysis (11:26)
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4.2 Quadratic fit on photo (13:57)
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4.3 Sinusoidal fit on photo (4:33)
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4.4 Data modelling with Excel (7:41)
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4.5 Data modelling with Geogebra (10:34)
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5 Marking an IA (20:14)
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6.1 Ideas part 1 - Modelling (18:20)
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6.2 Ideas part 2 (18:36)
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6.3 Ideas part 3 (14:44)
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Sample Optimum Long Jump Distance Calculus (5:34)
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Sample Volume of Revolution Glasses (3:47)
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Sample Angry Birds Equation of a Tangent (3:58)
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Sample Gini Coefficient Integration (4:58)
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Sample Table Tennis Shot Comparison (5:19)
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Sample Swimming IA Normal Distribution (3:58)
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Sample Surface Area of a Chocolate Egg (2:48)
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Sample Polynomial Modelling Caffeine v Performance (5:05)
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Sample Area of a School Integration (2:48)
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Sample Linear Correlation Time v Calories (5:25)
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Sample Volume of Revoltion HL (3:55)
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Sample Modelling the Dubai Eye Trig Modelling (4:05)
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Sample Ibuprofen v Paracetamol Calculus (3:46)
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Sample India v China Population Modelling (5:09)
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Sample Volleyball Serve (6:32)
Specimen paper 1
Specimen paper 2
2021 May TZ2 Paper 1
2021 May TZ2 P2
2021 May TZ1 P1
2021 May TZ1 P2
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Question 1 (3:28)
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Question 2 (5:32)
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Question 3 (8:47)
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Question 4 (6:49)
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Question 5 (8:21)
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Question 6 (6:59)
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Question 7a (5:51)
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Question 7b (4:48)
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Question 7c (7:05)
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Question 8ab (6:54)
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Question 8cd (6:05)
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Question 8e (8:03)
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Question 9ab (5:57)
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Question 9c (1:10)
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Question 9d (7:37)
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Question 9e (2:59)
2021 November P1
2021 November P2
2022 May TZ1 P1
2022 May TZ1 P2
2022 May TZ2 P1
2022 May TZ2 P2
2022 November P1
2022 November P2
2023 May TZ1 P1
2023 May TZ1 P2
2023 May TZ2 P1
2023 May TZ2 P2
2023 November P1
2023 November P2
