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Algebra
- Quadratic functions: properties, graphing, and solving
- Exponential and logarithmic functions: definitions, graphs, and equations
- Sequences and series: arithmetic and geometric progressions
- Complex numbers: operations and polar form
- Polynomial functions: division algorithm and the factor theorem
Geometry
- Advanced properties of triangles, circles, and polygons
- Trigonometry: sine, cosine, tangent ratios, and the unit circle
- Proofs involving congruence and similarity of triangles
- Surface area and volume of solid figures (cylinders, cones, spheres)
Trigonometry
- Trigonometric identities and equations: fundamental identities
- Law of Sines and Law of Cosines
- Applications of trigonometry in real-world problems
Statistics and Probability
- Data representation: histograms, box plots, and scatter plots
- Measures of central tendency: mean, median, mode, standard deviation
- Probability concepts: independent and dependent events, tree diagrams
Calculus (Introductory)
- Understanding limits and derivatives: basic principles
- Applications of derivatives in motion and optimization problems
- Basic integration techniques: understanding area under curves
Study Tips:
Consistent practice with problem sets
Collaboration with peers for difficult concepts
Use online resources for additional explanations
Review regularly to reinforce understanding.