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).

Rational Numbers, Opposites, and Absolute Values

M.N&O.AM4.a: Solves problems involving scientific notation and assesses the precision of the answer in terms of significant digits.

Unit Conversions 2 - Scientific Notation and 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).

Points in the Complex Plane

M.N&O.AM4.c: Manipulates complex numbers using rectangular and polar coordinates.

Points in the Complex Plane

M.N&O.AM4.e: Solves compound interest problems including continuously compounded interest.

Compound 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).

Adding Vectors
Dilations
Vectors

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.

Cosine Function
Sine Function
Tangent Function

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.

Addition and Subtraction of Functions
Circles
Ellipses
Hyperbolas
Parabolas

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.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Geometric Sequences

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.

Absolute Value with Linear Functions
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
Radical Functions
Translating and Scaling Functions

M.F&A.AM3.b: Uses the Remainder Theorem, the Factor Theorem and Rational Root Theorem for polynomials.

Dividing Polynomials Using Synthetic Division
Polynomials and Linear Factors

M.F&A.AM3.d: Understands the difference between factoring polynomials over integer, rational, real, and complex numbers.

Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c

M.F&A.AM4.b: Solves equations involving exponential and logarithmic expressions; graphs and interprets the solutions.

Exponential Functions

M.F&A.AM4.c: Uses matrices or determinants to solve systems of equations with or without technology.

Solving Linear Systems (Matrices and Special Solutions)

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.

Correlation
Polling: City
Populations and Samples
Real-Time Histogram
Sight vs. Sound Reactions

M.DSP.AM.3: Uses technology to explore the method of least squares and median-median for linear regression.

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines

M.DSP.AM.5: Solves probability problems (e.g., by applying concepts of counting, random variables, independence/dependence of events, and conditional probability).

Binomial Probabilities
Geometric Probability
Independent and Dependent Events