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The Mathematical Processes and Number Concepts section covers: - Multiplying and dividing signed numbers
- Properties of natural numbers
- Patterns of special products
- Inequalities
- Hyperbola
- Proofs
- Formal and informal reasoning
- The Golden Ratio and the Fibonacci sequence
- T-value vs. critical t-value
The Patterns, Algebraic Relationships, and Functions section covers: - Functions
- Stretch, shrink, and reflection
- Monotone, even, and odd functions, and discontinuities
- Matrix
- Domain, range, and asymptotes
- Law of Sines and the Law of Cosines
- When limit does not exist
- First Derivative Test
The Measurement and Geometry section covers: - Altitude, height, concurrent, and orthocenter
- Plane
- Acute, right, and obtuse
- Arc length and sector
- Area and perimeter of polygons
- Volume and total surface area of various 3-d shapes
- Geometric description of parabola
The Data Analysis, Statistics, Probability, and Discrete Mathematics section covers: - Sample space and outcome
- Permutations and combinations
- Odds in favor or against
- Five number summary
- Inferential statistics and sampling distribution
- Number of permutations
- Euler and Hamiltonian path
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