Gizmos for Pennsylvania - Mathematics: Algebra I (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.

A1.1: : Operations and Linear Equations & Inequalities

A1.1.1: : Operations with Real Numbers and Expressions

A1.1.1.1: : Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents).

A1.1.1.1.1: : Compare and/or order any real numbers.

A1.1.1.1.2: : Simplify square roots (e.g., square root of 24 = 2 square root of 6).

A1.1.1.2: : Apply number theory concepts to show relationships between real numbers in problem-solving settings.

A1.1.1.2.1: : Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials.

A1.1.1.3: : Use exponents, roots, and/or absolute values to solve problems.

A1.1.1.3.1: : Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems.

A1.1.1.4: : Use estimation strategies in problem-solving situations.

A1.1.1.4.1: : Use estimation to solve problems.

A1.1.1.5: : Simplify expressions involving polynomials.

A1.1.1.5.1: : Add, subtract, and/or multiply polynomial expressions (express answers in simplest form).

A1.1.1.5.2: : Factor algebraic expressions, including difference of squares and trinomials.

A1.1.2: : Linear Equations

A1.1.2.1: : Write, solve, and/or graph linear equations using various methods.

A1.1.2.1.1: : Write, solve, and/or apply a linear equation (including problem situations).

A1.1.2.1.2: : Use and/or identify an algebraic property to justify any step in an equation-solving process.

A1.1.2.1.3: : Interpret solutions to problems in the context of the problem situation.

A1.1.2.2: : Write, solve, and/or graph systems of linear equations using various methods.

A1.1.2.2.1: : Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination.

A1.1.2.2.2: : Interpret solutions to problems in the context of the problem situation.

A1.1.3: : Linear Inequalities

A1.1.3.1: : Write, solve, and/or graph linear inequalities using various methods.

A1.1.3.1.1: : Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities).

A1.1.3.1.2: : Identify or graph the solution set to a linear inequality on a number line.

A1.1.3.1.3: : Interpret solutions to problems in the context of the problem situation.

A1.1.3.2: : Write, solve, and/or graph systems of linear inequalities using various methods.

A1.1.3.2.1: : Write and/or solve a system of linear inequalities using graphing.

A1.1.3.2.2: : Interpret solutions to problems in the context of the problem situation.

A1.2: : Linear Functions and Data Organizations

A1.2.1: : Functions

A1.2.1.1: : Analyze and/or use patterns or relations.

A1.2.1.1.2: : Determine whether a relation is a function, given a set of points or a graph.

A1.2.1.1.3: : Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).

A1.2.1.2: : Interpret and/or use linear functions and their equations, graphs, or tables.

A1.2.1.2.1: : Create, interpret, and/or use the equation, graph, or table of a linear function.

A1.2.1.2.2: : Translate from one representation of a linear function to another (i.e., graph, table, and equation).

A1.2.2: : Coordinate Geometry

A1.2.2.1: : Describe, compute, and/or use the rate of change (slope) of a line.

A1.2.2.1.1: : Identify, describe, and/or use constant rates of change.

A1.2.2.1.2: : Apply the concept of linear rate of change (slope) to solve problems.

A1.2.2.1.3: : Write or identify a linear equation when given

A1.2.2.1.3.b: : two points on the line, or

A1.2.2.1.3.c: : the slope and a point on the line.

A1.2.2.1.4: : Determine the slope and/or y-intercept represented by a linear equation or graph.

A1.2.2.2: : Analyze and/or interpret data on a scatter plot.

A1.2.2.2.1: : Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot.

A1.2.3: : Data Analysis

A1.2.3.1: : Use measures of dispersion to describe a set of data.

A1.2.3.1.1: : Calculate and/or interpret the range, quartiles, and interquartile range of data.

A1.2.3.2: : Use data displays in problem-solving settings and/or to make predictions.

A1.2.3.2.1: : Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

A1.2.3.2.2: : Analyze data, make predictions, and/or answer questions based on displayed data (box-and-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations).

A1.2.3.2.3: : Make predictions using the equations or graphs of best-fit lines of scatter plots.

A1.2.3.3: : Apply probability to practical situations.

A1.2.3.3.1: : Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent.

Correlation last revised: 7/13/2022

Pennsylvania - Mathematics: Algebra I

Keystone Exams Assessment Anchors and Eligible Content | Adopted: 2010

A1.1: : Operations and Linear Equations & Inequalities

A1.2: : Linear Functions and Data Organizations