Question 2 | Mr. Flynn IB

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Applications and Interpretation SL

Topic 1: Number and algebra

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)

Topic 2: Functions

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)

Topic 3: Geometry and trigonometry

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)

Topic 4: Statistics and probability

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)

Topic 5: Calculus

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)

Internal assessment

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)

Specimen paper 1

Question 1 (3:12)
Question 2 (4:23)
Question 3 (5:48)
Question 4 (4:59)
Question 5 (7:52)
Question 6 (8:39)
Question 7 (7:59)
Question 8 (4:18)
Question 9 (7:27)
Question 10 (4:49)
Question 11 (4:38)
Question 12 (6:47)
Question 13 (6:06)
Question 14 (11:03)

Specimen paper 2

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)

May 2021 TZ1 P1

Question 1 (4:00)
Question 2 (2:55)
Question 3 (4:35)
Question 4 (6:31)
Question 5 (5:34)
Question 6 (5:11)
Question 7 (9:40)
Question 8 (8:58)
Question 9 (5:39)
Quetion 10 (8:28)
Question 11 (9:09)
Question 12 (11:58)
Question 13 (8:28)

May 2021 TZ1 P2

Question 1abc (2:24)
Question 1d (2:21)
Question 1efg (5:18)
Question 1hi (5:25)
Question 2ab (3:41)
Question 2cde (3:38)
Question 2fghi (5:23)
Question 3ab (8:26)
Question 3cd (7:20)
Question 3ef (6:06)
Question 4ab (6:44)
Question 4cde (6:50)
Question 5a (5:27)
Question 5bc (6:10)

2021 May TZ2 P1

Question 1 (3:31)
Question 2 (4:27)
Question 3 (7:04)
Question 4 (7:30)
Question 5 (4:44)
Question 6 (8:52)
Question 7 (8:40)
Question 8 (6:31)
Question 9 (4:27)
Question 10 (5:06)
Question 11 (7:48)
Question 12 (6:14)
Question 13 (8:54)

2021 May TZ2 P2

Question 1ab (2:10)
Question 1c (4:58)
Question 1def (7:24)
Question 2ab (4:55)
Question 2cd (6:30)
Question 3ab (4:59)
Question 3cd (8:52)
Question 4abc (5:27)
Question 4de (5:53)
Question 5ab (9:49)
Question 5cde (6:16)
Question 5fg (2:44)

2021 November P1

Question 1 (4:28)
Question 2 (5:58)
Question 3 (2:42)
Question 4 (4:17)
Question 5 (6:13)
Question 6 (4:37)
Question 7 (8:06)
Question 8 (6:12)
Question 9 (7:06)
Question 10 (7:18)
Question 11 (3:11)
Question 12 (5:48)
Question 13 (5:26)

2021 November P2

Question 1a (4:23)
Question 1bcd (6:48)
Question 2ab (3:22)
Question 2cd (4:44)
Question 2ef (6:42)
Question 3ab (3:26)
Question 3cd (6:06)
Question 3e (3:15)
Question 3f (5:28)
Question 4ab (7:39)
Question 4cd (6:35)
Question 5abc (4:02)
Question 5d (5:51)

2022 May TZ1 P1

Question 1 (3:35)
Question 2 (2:57)
Question 3 (3:42)
Question 4 (5:14)
Question 5 (3:12)
Question 6 (5:09)
Question 7 (4:21)
Question 8 (3:50)
Question 9 (3:13)
Question 10 (3:47)
Question 11 (7:39)
Question 12 (3:16)
Question 13 (7:31)

2022 May TZ1 P2

Question 1 (11:51)
Question 2abc (6:22)
Question 2defg (7:29)
Question 3abc (4:41)
Question 3def (4:52)
Question 4a (6:00)
Question 4bc (6:24)
Question 5ab (4:19)
Question 5c (9:58)

2022 May TZ2 P1

Question 1 (4:40)
Question 2 (2:55)
Question 3 (5:52)
Question 4 (3:38)
Question 5 (4:23)
Question 6 (3:23)
Question 7 (4:23)
Question 8 (5:16)
Question 9 (9:59)
Question 10 (8:33)
Question 11 (6:11)
Question 12 (4:49)
Question 13 (7:13)

2022 May tz2 p2

Question 1 (10:48)
Question 2 (10:53)
Question 3abcd (8:19)
Question 3efg (5:25)
Question 4abc (8:06)
Question 4de (6:26)
Question 5ab (6:49)
Question 5cde (6:47)

2022 November Paper 1

Question 1 (3:51)
Question 2 (3:01)
Question 3 (2:58)
Question 4 (3:55)
Question 5 (5:57)
Question 6 (4:21)
Question 7 (6:36)
Question 8 (4:19)
Question 9 (5:31)
Question 10 (3:46)
Question 11 (7:13)
Question 12 (6:11)
Question 13 (5:27)

2022 November Paper 2

Question 2abc (7:06)
Question 1abcdef (4:52)
Question 2def (5:07)
Question 3 (10:44)
Question 4abc (4:54)
Question 4de (6:22)
Question 5ab (5:50)
Question 5cd (6:46)

2023 May TZ1 P1

Question 1 (4:27)
Question 2 (5:22)
Question 3 (4:09)
Question 4 (4:41)
Question 5 (3:44)
Question 6 (4:34)
Question 7 (4:38)
Question 8 (4:32)
Question 9 (4:32)
Question 10 (5:29)
Question 11 (7:17)
Question 12 (6:43)
Question 13 (6:04)

2023 May TZ1 P2

Question 1 (9:50)
Question 2 (10:55)
Question 3 (8:57)
Question 4 (7:31)
Question 5ab (5:57)
Question 5cde (6:39)

2023 May TZ2 P1

Question 1 (2:18)
Question 2 (3:02)
Question 3 (2:52)
Question 4 (4:51)
Question 5 (2:01)
Question 6 (4:28)
Question 7 (6:23)
Question 8 (3:42)
Question 9 (6:03)
Question 10 (4:17)
Question 11 (5:26)
Question 12 (4:00)
Question 13 (7:16)

2023 May TZ2 P2

Question 1abc (5:18)
Question 1de (5:38)
Question 2abc (4:23)
Question 2def (5:13)
Question 3 (8:07)
Question 4 (7:57)
Question 5ab (9:16)
Question 5cde (3:12)

2023 November P1

Question 1 (4:25)
Qeustion 3 (2:21)
Question 2 (4:42)
Question 4 (8:25)
Question 5 (2:47)
Question 6 (4:00)
Question 7 (6:18)
Question 8 (6:07)
Question 9 (5:33)
Question 10 (2:57)
Question 11 (6:13)
Question 12 (5:41)

2023 November P2

Question 1 (5:16)
Question 2 (8:34)
Question 3abc (4:58)
Question 3de (7:13)
Question 4 (8:57)
Question 5abcdef (7:25)
Question 5gh (7:01)

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