Pennsylvania Algebra I Assessment Anchors and Eligible Content

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1 A Correlation of Algebra 1, 2018 To the Assessment Anchors and Eligible Content Copyright 2017 Pearson Education, Inc. or its affiliate(s). All rights reserved

2 to the MODULE 1 Operations and Linear Equations & Inequalities A1.1.1 Operations with Real Numbers and Expressions A Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents). A Compare and/or order any real Lesson 1-1: Operations on Real Numbers numbers. Note: Rational and irrational may be mixed. A Simplify square roots (e.g., 24 = 2 6). Lesson 9-3: Rewriting Radical Expressions A Apply number theory concepts to show relationships between real numbers in problem-solving settings. A Find the Greatest Common Factor Lesson 7-4: Factoring Polynomials (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. A Use exponents, roots, and/or absolute values to solve problems. A Simplify/evaluate expressions involving properties/laws of exponents, roots, and/or absolute values to solve problems. Note: Exponents should be integers from 10 to 10. Lesson 6-1: Rational Exponents and Properties of Exponents; Lesson 9-3: Rewriting Radical Expressions A Use estimation strategies in problem-solving situations. A Use estimation to solve problems. This standard is outside the scope of envision A G A. A Simplify expressions involving polynomials. A Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial. Lesson 7-1: Adding and Subtracting Polynomials; Lesson 7-2: Multiplying Polynomials; Lesson 7-3: Multiplying Special Cases A Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax 2 + bx + c where a is equal to 1 after factoring out all monomial factors. Lesson 7-4: Factoring Polynomials; Lesson 7-5: Factoring x 2 + bx + c 1

3 to the A Simplify/reduce a rational algebraic expression. Lesson 7-4: Factoring Polynomials; Lesson 7-7: Factoring Special Cases; Lesson 9-3: Rewriting Radical Expressions A1.1.2 Linear Equations A Write, solve, and/or graph linear equations using various methods. A Write, solve, and/or apply a linear equation (including problem situations). Lesson 1-2: Solving Linear Equations; Lesson 1-3: Solving Equations with A Variable on Both Sides; A Use and/or identify an algebraic property to justify any step in an equation-solving process. Note: Linear equations only. Lesson 1-2: Solving Linear Equations; Lesson 1-3: Solving Equations with A Variable on Both Sides A Interpret solutions to problems in the context of the problem situation. Note: Linear equations only. Lesson 1-2: Solving Linear Equations; Lesson 1-3: Solving Equations with A Variable on Both Sides; A Write, solve, and/or graph systems of linear equations using various methods. A Write and/or solve a system of linear equations (including problem situations) using graphing, substitution, and/or elimination. Note: Limit systems to two linear equations. Lesson 4-1: Solving Systems of Equations by Graphing; Lesson 4-2: Solving Systems of Equations by Substitution; Lesson 4-3: Solving Systems of Equations by Elimination A Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear equations. Lesson 4-1: Solving Systems of Equations by Graphing; Lesson 4-2: Solving Systems of Equations by Substitution; Lesson 4-3: Solving Systems of Equations by Elimination 2

4 to the A1.1.3 Linear Inequalities A Write, solve, and/or graph linear inequalities using various methods. A Write or solve compound inequalities Lesson 1-6: Compound Inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). A Identify or graph the solution set to a linear inequality on a number line. Lesson 4-4: Linear Inequalities in Two Variables A Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only. Lesson 4-4: Linear Inequalities in Two Variables A Write, solve, and/or graph systems of linear inequalities using various methods. A Write and/or solve a system of linear Lesson 4-5: Systems of Linear Inequalities inequalities using graphing. Note: Limit systems to two linear inequalities. A Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear inequalities. Lesson 4-5: Systems of Linear Inequalities MODULE 2 Linear Functions and Data Organizations A1.2.1 Functions A Analyze and/or use patterns or relations. A Analyze a set of data for the existence Lesson 3-1: Relations and Functions of a pattern and represent the pattern algebraically and/or graphically. A Determine whether a relation is a function, given a set of points or a graph. Lesson 3-1: Relations and Functions A Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). Lesson 3-1: Relations and Functions A Interpret and/or use linear functions and their equations, graphs, or tables. A Create, interpret, and/or use the Lesson 3-2: Linear Functions equation, graph, or table of a linear function. A Translate from one representation of a linear function to another (i.e., graph, table, and equation). Lesson 3-2: Linear Functions 3

5 to the A1.2.2 Coordinate Geometry A Describe, compute, and/or use the rate of change (slope) of a line. A Identify, describe, and/or use constant rates of change. Lesson 6-3: Exponential Growth and Decay; Lesson 10-1: The Square Root Function A Apply the concept of linear rate of change (slope) to solve problems. A Write or identify a linear equation when given the graph of the line, two points on the line, or the slope and a point on the line. Note: Linear equation may be in point-slope, standard, and/or slope-intercept form. A Determine the slope and/or y-intercept represented by a linear equation or graph. A Analyze and/or interpret data on a scatter plot. A Draw, identify, find, and/or write an equation for a line of best fit for a scatter plot. Lesson 3-5: Scatter Plots and Lines of Fit; Lesson 3-6: Analyzing Lines of Fit A1.2.3 Data Analysis A Use measures of dispersion to describe a set of data. A Calculate and/or interpret the range, quartiles, and interquartile range of data. Lesson 11-1: Analyzing Data Displays; Lesson 11-2: Comparing Data Sets A Use data displays in problem-solving settings and/or to make predictions. A Estimate or calculate to make predictions based on a circle, line, bar graph, measure of central tendency, or other representation. Lesson 11-1: Analyzing Data Displays; Lesson 11-2: Comparing Data Sets; Lesson 11-3: Interpreting the Shapes of Data Displays; Lesson 11-4: Standard Deviation 4

6 to the A Analyze data, make predictions, and/or answer questions based on displayed data (boxand-whisker plots, stem-and-leaf plots, scatter plots, measures of central tendency, or other representations). Lesson 3-5: Scatter Plots and Lines of Fit; Lesson 3-6: Analyzing Lines of Fit; Lesson 11-1: Analyzing Data Displays; Lesson 11-2: Comparing Data Sets; Lesson 11-3: Interpreting the Shapes of Data Displays; Lesson 11-4: Standard Deviation A Make predictions using the equations or graphs of best-fit lines of scatter plots. Lesson 3-5: Scatter Plots and Lines of Fit; Lesson 3-6: Analyzing Lines of Fit A Apply probability to practical situations. A 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. This standard is addressed in envision A G A Geometry and Algebra II. Please see Topic 12 Probability 5

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