Applications and Interpretation (AI) SL
Lessons by topic, past paper solutions and IA help.
Course Curriculum
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- 1.1 Scientific notation (10:44)
- 1.2.1 Arithmetic sequences and series (12:13)
- 1.2.2 Sigma notation (5:05)
- 1.3 Geometric sequences and series (13:52)
- 1.4.1 Compound interest (11:51)
- 1.4.2 Depreciation (6:21)
- 1.4.3 Inflation (5:28)
- 1.5.1 Laws of exponents (4:04)
- 1.5.2 Introduction to logs (10:43)
- 1.5.3 The number e (10:25)
- 1.6.1 Rounding (10:05)
- 1.6.2 Upper and lower bounds (8:09)
- 1.6.3 Percentage error (5:51)
- 1.7.1 Loans (8:35)
- 1.7.2 Annuities (10:16)
- 1.8.1 System of linear equations (3:17)
- 1.8.2 Roots of a polynomial (6:03)
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- 2.1.1 Gradient of a line (8:34)
- 2.1.2 Equation of a straight line (5:58)
- 2.1.3 Parallel and perpendicular lines (8:25)
- 2.2.1 Functions introduction (13:26)
- 2.2.2 Evaluating functions (6:08)
- 2.2.3 Inverse functions (11:21)
- 2.3 Sketching functions (9:07)
- 2.4.1 Features of graphs (12:22)
- 2.4.2 Asymptotes (9:01)
- 2.5.1 Linear modelling (10:39)
- 2.5.2 Quadratic functions (6:34)
- 2.5.3 Quadratic modelling (10:14)
- 2.5.4 Exponential modelling (14:33)
- 2.5.5 Direct and inverse variation (14:55)
- 2.5.6 Cubic modelling (11:29)
- 2.5.7 Sinusoidal graphs (13:13)
- 2.5.8 Creating a sinusoidal model (8:56)
- 2.6 Finding the parameters of a model (6:22)
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- 3.1.1 Midpoint of a line segment (4:54)
- 3.1.2 Distance between 2 points (5:37)
- 3.1.3 Volume and surface area (14:44)
- 3.1.4 Trigonometry in 3d (15:12)
- 3.2.1 Pythagoras' theorem (3:00)
- 3.2.2 Soh cah toa (8:21)
- 3.2.3 Sine rule (6:16)
- 3.2.4 Cosine rule (6:59)
- 3.2.5 Area of a triangle (2:58)
- 3.3.1 Bearings (10:46)
- 3.3.2 Angles of elevation and depression (8:22)
- 3.4 Arcs and Sectors (5:10)
- 3.5 Perpendicular bisectors (15:59)
- 3.6.1 Voronoi diagrams intro (11:09)
- 3.6.2 Voronoi examples (14:53)
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- 4.1.1 Discrete v continuous data (7:28)
- 4.1.2 Sampling techniques (10:44)
- 4.2.1 Histograms and cumulative frequency curves (21:04)
- 4.2.2 Box and whisker diagrams (6:37)
- 4.2.3 Interpreting box plots (8:23)
- 4.2.4 Outliers (9:30)
- 4.3.1 Averages and spread (11:22)
- 4.3.2 Frequency tables (14:10)
- 4.3.3 Constant changes to data (8:42)
- 4.3.4 Variance and standard deviation by hand (8:12)
- 4.4 Linear regression and correlation (21:52)
- 4.5 Probability formulae (9:47)
- 4.6.1 Venn diagrams (19:15)
- 4.6.2 Tree Diagrams (13:29)
- 4.7 Discrete random variables (13:41)
- 4.8 Binomial distribution (17:18)
- 4.9 Normal distribution (28:45)
- 4.10 Spearman's rank correlation coefficient (17:09)
- 4.11.1 Chi Squared intro (10:34)
- 4.11.2 Chi Squared test for independence (16:57)
- 4.11.3 Chi squared goodness of fit (11:45)
- 4.11.4 T-test (19:21)
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- 5.1.1 Introduction to differentiation (13:20)
- 5.1.2 Introduction to limits (16:17)
- 5.2 Increasing and decreasing functions (12:49)
- 5.3.1 Differentiation power rule (9:37)
- 5.3.2 Derivative at a point (6:03)
- 5.4 Tangents and normals (9:49)
- 5.5.1 Integration (power rule) (11:50)
- 5.5.2 Finding f(x) (5:24)
- 5.5.3 Area under the curve (9:03)
- 5.6 Stationary points (11:27)
- 5.7 Optimization (16:10)
- 5.8 Trapezoidal rule (14:16)
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- 1. IA Introduction (10:22)
- 2.1 A Presentation (12:45)
- 2.2 B Mathematical communication (9:25)
- 2.3 C Personal engagement (11:04)
- 2.4 D Reflection (5:34)
- 2.5 E Use of mathematics (8:42)
- 3.1 Choosing a topic 1 (17:52)
- 3.2 Choosing a topic 2 (19:57)
- 4.1 Quadratic from basketball video (8:04)
- 4.1.2 Basketball analysis (11:26)
- 4.2 Quadratic fit on photo (13:57)
- 4.3 Sinusoidal fit on photo (4:33)
- 4.4 Data modelling with Excel (7:41)
- 4.5 Data modelling with Geogebra (10:34)
- 5 Marking an IA (20:14)
- 6.1 Ideas part 1 - Modelling (18:20)
- 6.2 Ideas part 2 (18:36)
- 6.3 Ideas part 3 (14:44)
- Sample Volume of Revolution Glasses (3:47)
- Sample Swimming IA Normal Distribution (3:58)
- Sample Angry Birds Equation of a Tangent (3:58)
- Sample Gini Coefficient Integration (4:58)
- Sample Optimum Long Jump Distance Calculus (5:34)
- Sample Table Tennis Shot Comparison (5:19)
- Sample Volume of Revoltion HL (3:55)
- Sample Linear Correlation Time v Calories (5:25)
- Sample Surface Area of a Chocolate Egg (2:48)
- Sample Ibuprofen v Paracetamol Calculus (3:46)
- Sample Polynomial Modelling Caffeine v Performance (5:05)
- Sample India v China Population Modelling (5:09)
- Sample Area of a School Integration (2:48)
- Sample Modelling the Dubai Eye Trig Modelling (4:05)
- Sample Volleyball Serve (6:32)
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- Question 1 a (6:16)
- Question 1 b c (10:08)
- Question 1 d (5:08)
- Question 2 a b (6:41)
- Question 2 c d (5:14)
- Question 2 e f g (6:08)
- Question 3 a b (7:39)
- Question 3 c (3:18)
- Question 3 d e f (9:47)
- Question 4 a b (7:42)
- Question 4 c d (7:33)
- Question 4 e (7:15)
- Question 5 a (6:43)
- Question 5 b c d (9:52)
- Question 5 e f (5:27)
- Question 5 g (7:51)
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