Grade Level and Grade Span Expectations
M.N&O.AM.1: Demonstrates conceptual understanding of the real number system as an extension of the rational numbers by representing real numbers as infinite decimal expansions (that provide successive rational approximations to the number) and as points on a number line. Determines whether the decimal expansion of a rational number given in fractional form eventually repeats or terminates (without using a calculator).
M.N&O.AM4.a: Solves problems involving scientific notation and assesses the precision of the answer in terms of significant digits.
M.N&O.AM4.b: Solves problems involving complex numbers by adding, multiplying, dividing, and computing conjugates; interprets complex numbers geometrically; and understands complex numbers as an extension of the real numbers (e.g., arising in solutions of polynomial equations).
M.N&O.AM4.c: Manipulates complex numbers using rectangular and polar coordinates.
M.N&O.AM4.e: Solves compound interest problems including continuously compounded interest.
M.N&O.AM.8: Explores field properties with vectors and matrices; algebraically/geometrically interpret vectors, vector addition, and scalar multiplication in the plane; and solves problems using matrices (e.g., inverses, identity, determinants, and augmented matrices).
M.G&M.AM.7: Uses radian measure appropriately when solving problems; converts between radian measure and degree measure; and understands why radian measure is useful.
M.G&M.AM.9: Solves problems using analytic geometry (including three-dimensions) and circular trigonometry (e.g., find the equation of a circle inscribed in a triangle; find the distance between opposite vertices in a rectangular solid); explores and interprets the characteristics of conic sections graphically and algebraically including understanding how different planar slices of a double cone yield different conic sections; knows the characterization of conic sections as loci of points in the plane satisfying certain distance requirements, and uses the distance formula to obtain equations for the conic sections.
M.F&A.AM.1: Computes partial sums of infinite arithmetic and geometric sequences, determines when an infinite geometric series converges, and finds its sum. Connects arithmetic and geometric sequences to linear and exponential functions, respectively. Works between recursive and explicit representations.
M.F&A.AM2.b: Analyzes characteristics of classes of functions and inverse functions (exponential, logarithmic, trigonometric) to include domain, range, intercepts, increasing and decreasing intervals and rates of change, periodicity, end behavior, maximum and minimum values, continuity, and asymptotes; graphs classes of functions; and understands domain restrictions and their effects on functions.
M.F&A.AM3.b: Uses the Remainder Theorem, the Factor Theorem and Rational Root Theorem for polynomials.
M.F&A.AM3.d: Understands the difference between factoring polynomials over integer, rational, real, and complex numbers.
M.F&A.AM4.b: Solves equations involving exponential and logarithmic expressions; graphs and interprets the solutions.
M.F&A.AM4.c: Uses matrices or determinants to solve systems of equations with or without technology.
M.DSP.AM.2: Analyzes and interprets measures of dispersion (standard deviation, variance, and percentiles) and central tendency for the normal distribution; and interprets the correlation coefficient and the coefficient of determination in the context of data.
M.DSP.AM.3: Uses technology to explore the method of least squares and median-median for linear regression.
M.DSP.AM.5: Solves probability problems (e.g., by applying concepts of counting, random variables, independence/dependence of events, and conditional probability).
Correlation last revised: 4/4/2018