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Mathematics II (2018 edition)

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Unit 1: Absolute value & piecewise functions

Graphs of absolute value functions: Absolute value & piecewise functionsPiecewise functions: Absolute value & piecewise functions

Unit 2: Polynomials

Intro to polynomials: PolynomialsAdding & subtracting polynomials: PolynomialsAdding & subtracting polynomials: two variables: PolynomialsMultiplying monomials: PolynomialsMultiplying monomials by polynomials: PolynomialsMultiplying binomials: Polynomials
Multiplying binomials by polynomials: PolynomialsSpecial products of binomials: PolynomialsPolynomials word problems: PolynomialsLong division of polynomials: PolynomialsSynthetic division of polynomials: PolynomialsPractice dividing polynomials with remainders: Polynomials

Unit 3: Factorization

Introduction to factorization: FactorizationFactoring monomials: FactorizationFactoring polynomials by taking common factors: FactorizationEvaluating expressions with unknown variables: FactorizationFactoring quadratics intro: FactorizationFactoring quadratics by grouping: Factorization
Factoring polynomials with quadratic forms: FactorizationFactoring quadratics: Difference of squares: FactorizationFactoring quadratics: Perfect squares: FactorizationStrategy in factoring quadratics: FactorizationFactoring polynomials with special product forms: FactorizationPolynomial Remainder Theorem: Factorization

Unit 4: Quadratics

Parabolas intro: QuadraticsQuadratic factored form: QuadraticsSolving quadratics by taking square roots: QuadraticsQuadratic vertex form: QuadraticsSolving quadratics by factoring: Quadratics
Completing the square: QuadraticsThe quadratic formula: QuadraticsQuadratic standard form: QuadraticsFeatures & forms of quadratic functions: QuadraticsTransforming parabolas: Quadratics

Unit 5: Irrational numbers

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Irrational numbers: Irrational numbersSums & products of rational/irrational numbers: Irrational numbersProofs concerning irrational numbers: Irrational numbers

Unit 6: Complex numbers

What are the imaginary numbers?: Complex numbersWhat are the complex numbers?: Complex numbersThe complex plane: Complex numbers
Adding & subtracting complex numbers: Complex numbersMultiplying complex numbers: Complex numbers

Unit 7: Exponential growth & decay

Equivalent forms of exponential expressions: Exponential growth & decayExponential equations: properties of exponents: Exponential growth & decayInterpreting the rate of change of exponential models: Exponential growth & decay
Constructing exponential models according to rate of change: Exponential growth & decayAdvanced interpretation of exponential models: Exponential growth & decayDistinguishing between linear and exponential growth: Exponential growth & decay

Unit 8: Modeling with algebra

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Modeling with one-variable equations & inequalities: Modeling with algebraManipulating formulas: Modeling with algebra

Unit 9: Similarity

Definitions of similarity: SimilarityIntroduction to triangle similarity: SimilaritySolving similar triangles: Similarity
Angle bisector theorem: SimilaritySolving problems with similar & congruent triangles: SimilaritySolving modeling problems with similar & congruent triangles: Similarity

Unit 10: Right triangles & trigonometry

Pythagorean theorem: Right triangles & trigonometryPythagorean theorem proofs: Right triangles & trigonometrySpecial right triangles: Right triangles & trigonometryIntroduction to the trigonometric ratios: Right triangles & trigonometry
Solving for a side in a right triangle using the trigonometric ratios: Right triangles & trigonometrySolving for an angle in a right triangle using the trigonometric ratios: Right triangles & trigonometryModeling with right triangles: Right triangles & trigonometryTrigonometric ratios & similarity: Right triangles & trigonometrySine & cosine of complementary angles: Right triangles & trigonometry

Unit 11: Solid geometry

Solid geometry intro: Solid geometryDensity: Solid geometry2D vs. 3D objects: Solid geometry

Unit 12: Circles

Circle basics: CirclesArc measure: CirclesArc length (from degrees): CirclesIntroduction to radians: CirclesArc length (from radians): CirclesSectors: Circles
Inscribed angles: CirclesInscribed shapes problem solving: CirclesProperties of tangents: CirclesArea of inscribed triangle: CirclesConstructing regular polygons inscribed in circles: CirclesConstructing circumcircles & incircles: CirclesConstructing a line tangent to a circle: Circles

Unit 13: Conic sections

Introduction to conic sections: Conic sectionsFeatures of a circle: Conic sectionsStandard equation of a circle: Conic sections
Expanded equation of a circle: Conic sectionsFocus & directrix of a parabola: Conic sections

Unit 14: Probability

Probability basics: ProbabilityCounting with combinations: ProbabilityProbability with counting, permutations, combinations: ProbabilityMultiplication rule for independent events: Probability
Multiplication rule for dependent events: ProbabilityAddition rule for probability: ProbabilityConditional probability: ProbabilitySimulation and randomness: ProbabilityExpected value: Probability
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