Study Plan for P1 Topics (Cambridge 9709 Mathematics)
Topic
Estimated
Time
Notes
Quadratics
3 hours
Covers solving equations, graphing, and
discriminant analysis.
Functions
4 hours
Domain, range, composite/inverse functions,
and transformations.
Coordinate Geometry 4 hours
Straight lines, circles, distance, midpoint, and
tangent equations.
Circular Measure
3 hours
Arc length, sector area, radians, degrees, and
unit circle.
Trigonometry
5 hours
Identities, equations, and graphs (more
practice required).
Series
3 hours
Arithmetic and geometric progressions, sums,
convergence.
Differentiation
5 hours
Basic rules, chain rule, and applications to
tangents/normals.
Integration
5 hours
Indefinite, definite integrals, and applications to
motion/areas.
Review & Practice
(Past Papers)
6 hours
Focus on applying knowledge to past exam
papers and typical question types.
Total Estimated Time: 34 hours
Breakdown of Study Plan:
1. Quadratics (3 hours):
o
1 hour: Overview of quadratic equations and solving methods.
o
1 hour: Graphing quadratics, focusing on vertex form and transformations.
o
1 hour: Understanding the discriminant and its implications for roots.
2. Functions (4 hours):
o
1 hour: Domain and range concepts, function notation.
o
1 hour: Composite and inverse functions.
o
2 hours: Graph transformations (translations, stretches, reflections).
3. Coordinate Geometry (4 hours):
o
1 hour: Equation of straight lines (gradient, intercept form).
o
1 hour: Equation of a circle (center-radius form).
o
2 hours: Distance, midpoint, tangent equations.
4. Circular Measure (3 hours):
o
1 hour: Radians vs. degrees, converting between them.
o
1 hour: Arc length and sector area formulas.
o
1 hour: Unit circle and key trigonometric identities.
5. Trigonometry (5 hours):
o
2 hours: Trigonometric identities and solving equations.
o
2 hours: Graphing trigonometric functions.
o
1 hour: Practical problems and applications.
6. Series (3 hours):
o
1 hour: Arithmetic progressions and summing n terms.
o
1 hour: Geometric progressions and their sums.
o
1 hour: Convergence and divergence.
7. Differentiation (5 hours):
o
2 hours: Basic differentiation rules (power, product, quotient).
o
2 hours: Chain rule and implicit differentiation.
o
1 hour: Applications (tangents, normals, rate of change).
8. Integration (5 hours):
o
2 hours: Basic integration rules and techniques.
o
2 hours: Definite integrals and understanding the area under curves.
o
1 hour: Applications of integration (motion, area).
9. Review & Practice (6 hours):
o
6 hours: Focused practice on past papers, ensuring familiarity with examstyle questions and time management.
Suggested Schedule:

2-3 sessions per week (1.5 - 2 hours per session)

Focus on mastering each topic before moving on to the next.

Review with practice exams in the final stage to simulate the actual exam
conditions.