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Integrated math 2

Welcome to Integrated math 2!

The integrated pathway of courses (Math 1, 2, and 3) covers the same topics as the traditional pathway (Algebra 1, Geometry, and Algebra 2). Math 1, Math 2, and Math 3 each contain elements of algebra, geometry, and statistics, so the content is more interwoven.

Absolute value & piecewise functions

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

Quadratics: Multiplying & factoring

Multiplying monomials by polynomials: Quadratics: Multiplying & factoringMultiplying binomials: Quadratics: Multiplying & factoringSpecial products of binomials: Quadratics: Multiplying & factoringIntroduction to factoring: Quadratics: Multiplying & factoring
Factoring quadratics intro: Quadratics: Multiplying & factoringFactoring quadratics by grouping: Quadratics: Multiplying & factoringFactoring quadratics with difference of squares: Quadratics: Multiplying & factoringFactoring quadratics with perfect squares: Quadratics: Multiplying & factoringStrategy in factoring quadratics: Quadratics: Multiplying & factoring

Quadratic functions & equations

Intro to parabolas: Quadratic functions & equationsSolving and graphing with factored form: Quadratic functions & equationsSolving by taking the square root: Quadratic functions & equationsVertex form: Quadratic functions & equationsSolving quadratics by factoring: Quadratic functions & equationsThe quadratic formula: Quadratic functions & equations
Completing the square: Quadratic functions & equationsStrategizing to solve quadratic equations: Quadratic functions & equationsQuadratics standard form: Quadratic functions & equationsFeatures & forms of quadratic functions: Quadratic functions & equationsComparing quadratic functions: Quadratic functions & equationsTransforming quadratic functions: Quadratic functions & equations

Irrational numbers

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

Complex numbers

The imaginary unit i: Complex numbersComplex numbers introduction: Complex numbersThe complex plane: Complex numbers
Adding & subtracting complex numbers: Complex numbersMultiplying complex numbers: Complex numbersQuadratic equations with complex solutions: Complex numbers

Rational exponents and radicals

Rational exponents: Rational exponents and radicalsProperties of exponents (rational exponents): Rational exponents and radicalsEquivalent forms of exponential expressions: Rational exponents and radicals
Evaluating exponents and radicals: Rational exponents and radicalsSolving exponential expressions using properties of exponents: Rational exponents and radicals

Exponential models

Interpreting the rate of change of exponential models: Exponential modelsConstructing exponential models according to rate of change: Exponential modelsAdvanced interpretation of exponential models: Exponential models

Similarity

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

Right triangles & trigonometry

Pythagorean theorem: Right triangles & trigonometryPythagorean theorem proofs: Right triangles & trigonometrySpecial right triangles: Right triangles & trigonometryRatios in right triangles: Right triangles & trigonometry
Introduction to the trigonometric ratios: Right triangles & trigonometrySolving 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 & trigonometrySine & cosine of complementary angles: Right triangles & trigonometryModeling with right triangles: Right triangles & trigonometry

Solid geometry

2D vs. 3D objects: Solid geometryCavalieri's principle and dissection methods: Solid geometryVolume and surface area: Solid geometry
Density: Solid geometry

Circles

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

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

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

Course challenge

Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.
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