Gizmos for Indiana - Mathematics: Pre-Calculus: Algebra (Academic Standards adopted 2014)

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

PC.F: : Functions

PC.F.1: : For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

PC.F.2: : Find linear models by using median fit and least squares regression methods, making use of technology. Decide which among several linear models gives a better fit. Interpret the slope and intercept in terms of the original context.

PC.F.4: : Determine if a graph or table has an inverse, and justify if the inverse is a function, relation, or neither. Identify the values of an inverse function/relation from a graph or a table, given that the function has an inverse. Derive the inverse equation from the values of the inverse.

PC.F.6: : Recognize even and odd functions from their graphs and algebraic expressions.

PC.QPR: : Quadratic, Polynomial and Rational Equations and Functions

PC.QPR.1: : Use the method of completing the square to transform any quadratic equation into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.

PC.QPR.2: : Understand and use addition, subtraction, multiplication, and conjugation of complex numbers.

PC.QPR.3: : 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.

PC.QPR.4: : Know and apply the Remainder Theorem and the Factor Theorem.

PC.QPR.5: : Understand the Fundamental Theorem of Algebra. Find a polynomial function of lowest degree with real coefficients when given its roots.

PC.QPR.6: : Graph rational functions with and without technology. Identify and describe features such as intercepts, domain and range, and asymptotic and end behavior.

PC.EL: : Exponential and Logarithmic Functions

PC.EL.2: : Use the laws of logarithms to simplify logarithmic expressions, approximate the value of a logarithmic expression, and solve logarithmic equations.

PC.EL.3: : Graph and solve real-world and other mathematical problems that can be modeled using exponential and logarithmic functions; interpret the solution and determine whether it is reasonable. Identify and describe features such as intercepts, domain, range, asymptotes, and end behavior.

PC.SS: : Sequences and Series

PC.SS.1: : Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers.

PC.SS.2: : Write arithmetic and geometric sequences both recursively and with an explicit formula; use them to model situations and translate between the two forms.

PC.SS.4: : Model and solve real-world problems involving applications of sequences and series, interpret the solutions and determine whether the solutions are reasonable.

PC.CO: : Conics

PC.CO.1: : Construct the equation of a parabola given a focus and directrix.

PC.CO.2: : Construct the equation of a circle of given center and radius. Complete the square to find the center and radius of a circle given by an equation.

PC.CO.3: : Construct the equations of ellipses and hyperbolas given at least 2 of the following: foci, vertices, length of an axis, or point on the curve.

PC.CO.4: : Graph conic sections. Identify and describe features like center, vertex or vertices, focus or foci, directrix, axis of symmetry, major axis, minor axis, and eccentricity.

Correlation last revised: 11/9/2021

Indiana - Mathematics: Pre-Calculus: Algebra

Academic Standards | Adopted: 2014

PC.F: : Functions

PC.QPR: : Quadratic, Polynomial and Rational Equations and Functions

PC.EL: : Exponential and Logarithmic Functions

PC.SS: : Sequences and Series

PC.CO: : Conics