Gizmos for Pennsylvania - Mathematics: Algebra 2 (Keystone Exams Assessment Anchors and Eligible Content adopted 2010)

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

A2.1: : Number Systems and Non-Linear Expressions & Equations

A2.1.1: : Operations with Complex Numbers

A2.1.1.1: : Represent and/or use imaginary numbers in equivalent forms (e.g., square roots and exponents).

A2.1.1.1.2: : Simplify/evaluate expressions involving powers of i (e.g., i to the 6th power + i³ = -1 – i).

A2.1.1.2: : Apply the order of operations in computation and in problem-solving situations.

A2.1.1.2.1: : Add and subtract complex numbers (e.g., (7 – 3i) – (2 + i) = 5 – 4i).

A2.1.1.2.2: : Multiply and divide complex numbers (e.g., (7 – 3i)(2 + i) = 17 + i).

A2.1.2: : Non-Linear Expressions

A2.1.2.1: : Use exponents, roots, and/or absolute values to represent equivalent forms or to solve problems.

A2.1.2.1.1: : Use exponential expressions to represent rational numbers.

A2.1.2.1.2: : Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers-exponents should not exceed power of 10).

A2.1.2.1.3: : Simplify/evaluate expressions involving multiplying with exponents (e.g., (x to the 6th power) times (x to the 7th power) = x to the 13th power), powers of powers (e.g., (x to the 6th power) to the 7th power = x to the 42nd power) and powers of products (e.g., (2x²)³ = 8x to the 6th power).

A2.1.2.2: : Simplify expressions involving polynomials.

A2.1.2.2.1: : Factor algebraic expressions, including difference of squares and trinomials.

A2.1.3: : Non-Linear Equations

A2.1.3.1: : Write and/or solve non-linear equations using various methods.

A2.1.3.1.1: : Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).

A2.1.3.1.2: : Solve equations involving rational and/or radical expressions (e.g., 10/(x + 3) + 12/(x – 2) = 1 or the square root of (x² + 21x) = 14).

A2.1.3.1.4: : Write, solve, and/or apply linear or exponential growth or decay (including problem situations).

A2.1.3.2: : Describe and/or determine change.

A2.1.3.2.1: : Determine how a change in one variable relates to a change in a second variable (e.g., y = 4/x; if x doubles, what happens to y?).

A2.1.3.2.2: : Use algebraic processes to solve a formula for a given variable (e.g., solve d = rt for r).

A2.2: : Functions and Data Analysis

A2.2.1: : Patterns, Relations, and Functions

A2.2.1.1: : Analyze and/or use patterns or relations.

A2.2.1.1.1: : Analyze a set of data for the existence of a pattern, and represent the pattern with a rule algebraically and/or graphically.

A2.2.1.1.2: : Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20th term).

A2.2.1.1.3: : Determine the domain, range, or inverse of a relation.

A2.2.1.1.4: : Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increase/decrease, intercepts, zeros, and asymptotes).

A2.2.2: : Applications of Functions

A2.2.2.1: : Create, interpret, and/or use polynomial, exponential, and/or logarithmic functions and their equations, graphs, or tables.

A2.2.2.1.1: : Create, interpret, and/or use the equation, graph, or table of a polynomial function (including quadratics).

A2.2.2.1.2: : Create, interpret, and/or use the equation, graph, or table of an exponential or logarithmic function (including common and natural logarithms).

A2.2.2.1.3: : Determine, use, and/or interpret minimum and maximum values over a specified interval of a graph of a polynomial, exponential, or logarithmic function.

A2.2.2.1.4: : Translate a polynomial, exponential, or logarithmic function from one representation of a function to another (graph, table, and equation).

A2.2.2.2: : Describe and/or determine families of functions.

A2.2.2.2.1: : Identify or describe the effect of changing parameters within a family of functions (e.g., y = x² and y = x² + 3, or y = x² and y = 3x²).

A2.2.3: : Data Analysis

A2.2.3.1: : Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

A2.2.3.1.1: : Draw, identify, find, interpret, and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

A2.2.3.1.2: : Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.

A2.2.3.2: : Apply probability to practical situations.

A2.2.3.2.1: : Use combinations, permutations, and the fundamental counting principle to solve problems involving probability.

A2.2.3.2.3: : Use probability for independent, dependent, or compound events to predict outcomes.

Correlation last revised: 7/13/2022

Pennsylvania - Mathematics: Algebra 2

Keystone Exams Assessment Anchors and Eligible Content | Adopted: 2010

A2.1: : Number Systems and Non-Linear Expressions & Equations

A2.2: : Functions and Data Analysis