Gizmos for Mississippi - Mathematics: Advanced Mathematics Plus (College- and Career-Readiness Standards adopted 2016)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

N: : Number and Quantity

N-CN: : The Complex Number System

1.1.1: : Perform arithmetic operations with complex numbers

N-CN.3: : Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

1.1.2: : Represent complex numbers and their operations on the complex plane

N-CN.4: : Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.

N-CN.5: : Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.

N-CN.6: : Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.

1.1.3: : Use complex numbers in polynomial identities and equations

N-CN.8: : Extend polynomial identities to the complex numbers.

N-VM: : Vector and Matrix Quantities

1.2.1: : Represent and model with vector quantities

N-VM.1: : Recognize vector quantities as having both magnitude and direction. Represent vector quantities by directed line segments, and use appropriate symbols for vectors and their magnitudes (e.g., v, |v|, ||v||, v).

N-VM.2: : Find the components of a vector by subtracting the coordinates of an initial point from the coordinates of a terminal point.

N-VM.3: : Solve problems involving velocity and other quantities that can be represented by vectors.

1.2.2: : Perform operations on vectors

N-VM.4: : Add and subtract vectors.

N-VM.4a: : Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.

1.2.3: : Perform operations on matrices and use matrices in applications

N-VM.7: : Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled.

N-VM.8: : Add, subtract, and multiply matrices of appropriate dimensions.

N-VM.10: : Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers. The determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverse.

N-VM.12: : Work with 2 × 2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.

A: : Algebra

A-APR: : Arithmetic with Polynomials and Rational Expressions

2.1.1: : Use polynomial identities to solve problems

A-APR.5: : Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle.

A-REI: : Reasoning with Equations and Inequalities

2.2.1: : Solve systems of equations

A-REI.8: : Represent a system of linear equations as a single matrix equation in a vector variable.

A-REI.9: : Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

F: : Functions

F-IF: : Interpreting Functions

3.1.1: : Analyze functions using different representations

F-IF.7: : Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.7d: : Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

F-BF: : Building Functions

3.2.2: : Build new functions from existing functions

F-BF.4: : Find inverse functions.

F-BF.4c: : Read values of an inverse function from a graph or a table, given that the function has an inverse.

F-BF.5: : Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

F-TF: : Trigonometric Functions

3.3.1: : Extend the domain of trigonometric functions using the unit circle

F-TF.3: : Use special triangles to determine geometrically the values of sine, cosine, tangent for pi/3, pi/4 and pi/6, and use the unit circle to express the values of sine, cosine, and tangent for pi – x, pi + x, and 2pi – x in terms of their values for x, where x is any real number.

F-TF.4: : Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

3.3.2: : Model periodic phenomena with trigonometric functions

F-TF.5: : Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

3.3.3: : Prove and apply trigonometric identities

F-TF.9: : Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

G: : Geometry

G-GPE: : Expressing Geometric Properties with Equations

4.3.1: : Translate between the geometric description and the equation for a conic section

G-GPE.3: : Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

G-GMD: : Geometric Measurement and Dimension

4.4.1: : Explain volume formulas and use them to solve problems

G-GMD.2: : Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

S: : Statistics and Probability

S-CP: : Conditional Probability and the Rules of Probability

5.1.1: : Use the rules of probability to compute probabilities of compound events in a uniform probability model

S-CP.8: : Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model.

S-CP.9: : Use permutations and combinations to compute probabilities of compound events and solve problems.

S-MD: : Using Probability to Make Decisions

5.2.1: : Calculate expected values and use them to solve problems

S-MD.1: : Define a random variable for a quantity of interest by assigning a numerical value to each event in a sample space; graph the corresponding probability distribution using the same graphical displays as for data distributions.

S-MD.2: : Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

S-MD.3: : Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

S-MD.4: : Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.

5.2.2: : Use probability to evaluate outcomes of decisions

S-MD.5: : Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

S-MD.5a: : Find the expected payoff for a game of chance.

S-MD.5b: : Evaluate and compare strategies on the basis of expected values.

S-MD.6: : Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

S-MD.7: : Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Correlation last revised: 5/28/2025

Mississippi - Mathematics: Advanced Mathematics Plus

College- and Career-Readiness Standards | Adopted: 2016

N: : Number and Quantity

A: : Algebra

F: : Functions

G: : Geometry

S: : Statistics and Probability