AQR: Model Advanced Quantitative Reasoning [AQR]

Model Advanced Quantitative Reasoning [AQR]

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Advanced Quantitative Reasoning is a fourth-year course that applies algebra, geometry, and statistics to real-world contexts. Content spans trigonometric functions, geometric measurement, similarity, and probability decisions. It is designed as an alternative pathway after Algebra 2 or Model Mathematics II.

AQR.A-APRAlgebra - Arithmetic with Polynomials and Rational ExpressionsAQR.A-REIAlgebra - Reasoning with Equations and InequalitiesAQR.F-TFFunctions - Trigonometric FunctionsAQR.G-CGeometry - CirclesAQR.G-GMDGeometry - Geometric Measurement and DimensionAQR.G-GPEGeometry - Expressing Geometric Properties with EquationsAQR.G-SRTGeometry - Similarity, Right Triangles, and TrigonometryAQR.N-VMNumber and Quantity - Vector and Matrix QuantitiesAQR.S-CPStatistics and Probability - Conditional Probability and the Rules of ProbabilityAQR.S-MDStatistics and Probability - Using Probability to Make Decisions
Example Problems
A fair six-sided die is rolled 9 times. Let = the number of times a appears.

What is the
probability that the die shows a exactly times?

Round your answer to the
nearest hundredth.
Solve the following system of equations:
The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is .
Which is the
principal value of ?
A fair coin is flipped 5 times. Let be the number of heads. What is the expected value of ?
Solve the following system of equations:
Goblins

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