Gizmos for Maryland - Mathematics: Precalculus A (College and Career-Ready Standards adopted 2022)

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

A: : Algebra

A.SSE: : Seeing Structure in Expressions

A.SSE.A: : Interpret the structure of expressions.

A.SSE.A.2: : Use the structure of an expression to identify ways to rewrite it.

A.SSE.B: : Write expressions in equivalent forms to solve problems.

A.SSE.B.3: : Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A.APR: : Arithmetic with Polynomials and Rational Expressions

A.APR.B: : Understand the relationship between zeroes and factors of polynomials.

A.APR.B.2: : Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

A.APR.B.3.a: : Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

A.APR.C: : Use polynomial identities to solve problems.

A.APR.C.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.CED: : Creating Equations

A.CED.A: : Create equations that describe numbers or relationships.

A.CED.A.1b: : Create polynomial equations given roots.

F: : Functions

F.IF: : Interpreting Functions

F.IF.B: : Interpret functions that arise in application in terms of context.

F.IF.B.4: : For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities; sketch graphs showing key features given a verbal description of the relationship.

F.IF.B.5: : Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F.IF.C: : Analyze functions using different representations.

F.IF.C.7f: : Graph all functions including piecewise-defined functions, step functions and absolute value functions.

F.IF.C.7g: : Determine the end behavior of the graph of a polynomial function using the degree and leading coefficient.

F.IF.C.8: : Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F.BF: : Building Functions

F.BF.A: : Build a function that models a relationship between two quantities.

F.BF.A.1: : Write a function that describes a relationship between two quantities, including more complex functions.

F.BF.B: : Build new functions from existing functions.

F.BF.B.3: : Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

F.BF.B.4: : Find inverse functions.

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

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

F.LE: : Linear, Quadratic, and Exponential Models

F.LE.A: : Construct and compare linear, quadratic, and exponential models and solve problems.

F.LE.A.4a: : Use properties of logarithms, including both common and natural logarithms, to rewrite and solve exponential models.

T.TF: : Trigonometric Functions

T.TF.A: : Extend the domain of trigonometric functions using the unit circle.

F.TF.A.2: : Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

F.TF.A.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 x, pi + x, and 2pi - x in terms of their values for x, where x is any real number.

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

T.TF.B: : Model periodic phenomena with trigonometric functions.

F.TF.B.5: : Choose trigonometric functions to model real world phenomena.

T.TF.C: : Prove and apply trigonometric identities.

F.TF.C.9.a: : Use trigonometric identities to rewrite expressions and as a tool when solving trigonometric equations.

Correlation last revised: 4/28/2025

Maryland - Mathematics: Precalculus A

College and Career-Ready Standards | Adopted: 2022

A: : Algebra

F: : Functions