Integrated Math II
High school · Math
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Topics typically covered
Click a topic for the full text and related unit practice.
Integrated Math II scope aligned to the Common Core integrated pathway (quadratics, polynomials, similarity, right-triangle trigonometry, and probability), as used in California, Georgia, North Carolina, and similar state frameworks.
Quadratic functions
- Quadratic expressions — Factor and expand quadratic expressions; complete the square
- Solving quadratics — Solve by factoring, square roots, and the quadratic formula
- Graphing parabolas — Graph quadratics; identify vertex, axis of symmetry, and intercepts
- Quadratic applications — Model projectile motion and optimization with quadratic functions
Polynomial and rational expressions
- Polynomial operations — Add, subtract, and multiply polynomials
- Polynomial division — Divide polynomials; apply remainder and factor theorems
- Rational exponents and radicals — Rewrite expressions with rational exponents and simplify radicals
- Rational expressions — Simplify rational expressions; multiply and divide rational expressions
Similarity and right-triangle trigonometry
- Similarity criteria — Establish similarity via AA, SAS, and SSS; use scale factors
- Right-triangle trigonometry — Define sine, cosine, and tangent; solve right triangles
- Special right triangles — Use 45-45-90 and 30-60-90 triangle relationships
- Trigonometry applications — Apply trigonometry to angles of elevation/depression and real-world measurements
Circles and volume
- Circle theorems — Use inscribed angles, arc length, and sector area
- Equations of circles — Write and graph equations of circles in the coordinate plane
- Volume and density — Find volume of cylinders, cones, and spheres; solve density problems
- Cross-sections — Describe two-dimensional cross-sections of three-dimensional solids
Probability
- Conditional probability — Compute conditional probabilities using two-way tables and formulas
- Independence — Determine whether events are independent; use multiplication rule
- Permutations and combinations — Count outcomes using permutations and combinations
- Expected value — Calculate expected value for simple games and decision problems