? Level Structure Based on Placement Tests

Level	Description	Placement Score Range	Focus
Level 1 – Foundation	New or struggling students	0–40%	Core concepts, slower pace, lots of support
Level 2 – Standard	Average-performing students	41–75%	Normal textbook pace, full curriculum
Level 3 – Advanced	High-achieving students	76–100%	Faster pace, deeper problem

? STATISTICS –

1. Data Collection – 5 hours

• 1.1 Populations and Samples (1 hour)
• 1.2 Sampling (1 hour)
• 1.3 Non-Random Sampling (0.5 hour)
• 1.4 Types of Data (0.5 hour)
• 1.5 The Large Data Set (2 hours)
• ? Mixed Exercise

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2. Measures of Location and Spread – 6 hours

• 2.1 Central Tendency (Mean, Median, Mode) – 1 hour
• 2.2 Other Measures (Percentiles, Quartiles) – 1 hour
• 2.3 Measures of Spread – 1 hour
• 2.4 Variance & Standard Deviation – 1 hour
• 2.5 Coding – 0.5–1 hour
• ? Mixed Exercise

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3. Representations of Data – 7 hours

• 3.1 Outliers – 1 hour
• 3.2 Box Plots – 1 hour
• 3.3 Cumulative Frequency – 1 hour
• 3.4 Histograms – 2 hours
• 3.5 Comparing Data – 2 hours
• ? Mixed Exercise

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4. Correlation & Regression – 4 hours

• 4.1 Correlation – 2 hour
• 4.2 Linear Regression – 2 hours
• ? Mixed Exercise

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5. Probability – 4 hours

• 5.1 Basic Probability – 1 hour
• 5.2 Venn Diagrams – 1 hour
• 5.3 Mutually Exclusive/Independent – 1 hour
• 5.4 Tree Diagrams – 1 hour
• ? Mixed Exercise

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6. Statistical Distributions – 4 hours

• 6.1 Probability Distributions – 1 hour
• 6.2 Binomial Distribution – 1 hour
• 6.3 Cumulative Probabilities – 1 hour
• ? Mixed Exercise

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7. Hypothesis Testing – 5 hours

• 7.1 Concept of Hypothesis Testing – 1 hour
• 7.2 Critical Values – 1 hour
• 7.3 One-tailed Tests – 1 hour
• 7.4 Two-tailed Tests – 2 hours
• ? Mixed Exercise
• ? Review Exercise

⚙️ MECHANICS – ( 20 hours)

8. Modelling in Mechanics – 3 hours

• 8.1 Constructing a Model – 0.5 hour
• 8.2 Modelling Assumptions – 0.5 hour
• 8.3 Quantities & Units – 1 hour
• 8.4 Working with Vectors – 1 hour
• ? Mixed Exercise

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9. Constant Acceleration – 6 hours

• 9.1 Displacement–Time Graphs – 1 hour
• 9.2 Velocity–Time Graphs – 1 hour
• 9.3 SUVAT Formulae 1 – 1 hour
• 9.4 SUVAT Formulae 2 – 1 hour
• 9.5 Vertical Motion (gravity) – 1–1.5 hours
• ? Mixed Exercise

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10. Forces and Motion – 6 hours

• 10.1 Force Diagrams – 1 hour
• 10.2 Forces as Vectors – 1 hour
• 10.3 Newton’s Second Law – 1 hour
• 10.4 Motion in 2D – 1 hour
• 10.5 Connected Particles – 1 hour
• 10.6 Pulleys – 0.5–1 hour
• ? Mixed Exercise

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11. Variable Acceleration – 4 hours

• 11.1 Functions of Time – 1 hour
• 11.2 Differentiation – 1 hour
• 11.3 Maxima & Minima – 1 hour
• 11.4 Integration – 1 hour
• 11.5 Reusing SUVAT Equations – 1 hour
• ? Mixed Exercise
• ? Review Exercise