Gizmos for Mississippi - Mathematics: Algebra III (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.

NQ: : Number and Quantity

1.1: : Explore and illustrate the characteristics and operations connecting sequences and series

NQ.1: : Express sequences and series using recursive and explicit formulas.

NQ.2: : Evaluate and apply formulas for arithmetic and geometric sequences and series.

A: : Algebra

2.1: : Analyze and manipulate functions

A.8: : Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behavior).

2.2: : Use polynomial identities to solve problems

A.10: : Prove polynomial identities and use them to describe numerical relationships.

A.12: : 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.15: : Determine asymptotes and holes of rational functions, explain how each was found, and relate these behaviors to continuity.

2.3: : Perform operations on expressions, equations, inequalities and polynomials

A.18: : Find the composite of two given functions and find the inverse of a given function. Extend this concept to discuss the identity function f(x) = x.

A.21: : Find the zeros of polynomial functions by synthetic division and the Factor Theorem.

A.22: : Graph and solve quadratic inequalities.

F: : Functions

3.1: : Analyze functions using different representations

F.24: : Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

3.2: : Build a function that models a relationship between two quantities

F.25: : Compose functions.

3.3: : Build new functions from existing functions

F.26: : Verify by composition that one function is the inverse of another.

F.27: : Read values of an inverse function from a graph or a table, given that the function has an inverse.

F.28: : Produce an invertible function from a non-invertible function by restricting the domain.

F.29: : Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

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

F.30: : 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.31: : Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

3.5: : Model periodic phenomena with trigonometric functions

F.32: : Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

3.6: : Prove and apply trigonometric identities

F.35: : Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

F.36: : Prove the Pythagorean identity sin²(theta) + cos²(theta) = 1 and use it to find sin(theta), cos(theta), or tan(theta) given sin(theta), cos(theta), or tan(theta) and the quadrant of the angle.

G: : Geometry

4.1: : Recognize, sketch, and transform graphs of functions

G.37: : Graph piecewise defined functions and determine continuity or discontinuities.

G.38: : Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).

G.39: : Explain the effects of changing the parameters in transformations of functions.

G.40: : Predict the shapes of graphs of exponential, logarithmic, rational, and piece-wise functions, and verify the prediction with and without technology.

SP: : Statistics and Probability

5.1: : Explore and apply fundamental principles of probability.

SP.45: : Analyze expressions in summation and factorial notation to solve problems.

Correlation last revised: 5/19/2025

Mississippi - Mathematics: Algebra III

College- and Career-Readiness Standards | Adopted: 2016

NQ: : Number and Quantity

A: : Algebra

F: : Functions

G: : Geometry

SP: : Statistics and Probability