Assessment Anchors and Eligible Content Aligned to the Algebra 1 Pennsylvania Core Standards


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1 Assessment Anchors and Eligible Content Aligned to the Algebra 1 Pennsylvania Core Standards MODULE 1 A1.1.1 ASSESSMENT ANCHOR Operations and Linear Equations & Inequalities Demonstrate an understanding of rational and irrational numbers. DESCRIPTOR ELIGIBLE CONTENT I CAN Learn Lesson # I CAN Learn Lesson Title 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 numbers. Note: Rational and irrational may be mixed. HA1025 Comparing and Ordering Real Numbers A Apply number theory concepts to show relationships between real numbers in problemsolving settings. A A Simplify square roots. Find the Greatest Common Factor (GCF) and/or the Least Common Multiple (LCM) for sets of monomials. HA1490 HA1492 HA1335 MPA027 Simplifying Square Roots Simplifying Square and Cube Roots Finding the LCD of Rational Expressions and Changing Fractions to Equivalent Fractions Finding the Greatest Common Factor MPA030 Finding Least Common Multiple of Two or More Numbers
2 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. MPA013 Using Powers and Exponents in Expressions HA1810 Simplifying Expressions Using the Multiplication Properties of Exponents HA1815 Simplifying Expressions with Negative and Zero Exponents HA1818 Simplifying Expressions Using the Division Properties of Exponents HA1065 Evaluating Expressions Containing Exponents HA1860 Using the Laws of Exponents A Use estimation strategies in problem solving situations. A Use estimation to solve problems. MPA005 Estimating Products and Quotients Using Patterns MPA017 Rounding Decimals and Estimating Computations Using Decimals MPA033 Estimating Computations with Fractions and Mixed Numbers MPA065 Estimating Square Roots
3 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. HA1075 Simplifying Algebraic Expressions by Combining Like Terms HA1076 Basic Distributive Property HA1085 Simplifying Expressions Using the Properties of Real Numbers HA1079 Using a Concrete Model to Simplify Algebraic Expressions HA1090 Simplifying Expressions Using the Property of 1 HA1080 Simplifying and Evaluating Algebraic Expressions Containing Grouping Symbols HA1220 Identifying and Multiplying Monomials HA1225 Dividing Monomials and Simplifying Expressions Having an Exponent of Zero HA1230 Raising a Monomial or Quotient of Monomials to a Power HA1240 Identifying the Degree of Polynomials and Simplifying by Combining Like Terms HA1245 Adding and Subtracting Polynomials HA1920 Simplifying Algebraic Expressions Using the Distributive Property HA1255 Multiplying Two Binomials Using the FOIL Method HA1260 Squaring a Binomial and Finding the Product of a Sum and Difference
4 A Factor algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2 + bx + c where a is equal to 1 after factoring out all monomial factors. HA1265 Writing a Number in Prime Factorization and Finding the Greatest Common Factor HA1270 Factoring the Greatest Common Monomial Factor from a Polynomial HA1271 Factoring Trinomials and Differences of Squares Using Algebra Tiles HA1275 Factoring the Difference Between Two Squares and Perfect Trinomial Squares HA1276 Factoring Sums and Differences of Cubes HA1280 Factoring x² + bx + c When c is Greater Than Zero HA1285 Factoring x² + bx + c When c is Less Than Zero HA1290 Factoring ax² + bx + c HA1291 Factoring Quadratic Expressions Using the Graphing Calculator HA1295 Factoring by Removing a Common Factor and Grouping HA1300 Factoring a Polynomial Completely HA1802 Factoring A Simplify/reduce a rational algebraic HA1315 Defining Rational Expressions and Determining the Restricted Values HA1320 Simplifying Rational Expressions HA1325 Multiplying Rational Expressions HA1330 Dividing Rational Expressions HA1335 Finding the LCD of Rational Expressions and Changing Fractions to Equivalent Fractions HA1340 Adding and Subtracting Rational Expressions
5 A1.1.2 HA1345 HA1350 HA1335 ASSESSMENT ANCHOR Adding and Subtracting Polynomials and Rational Expressions Simplifying Complex Fractions Finding the LCD of Rational Expressions and Changing Fractions to Equivalent Fractions Linear Equations DESCRIPTOR ELIGIBLE CONTENT I CAN Learn Lesson # I CAN Learn Lesson Title A Write, solve, and/or graph linear equations using various methods. A Write, solve, and/or apply a linear equation (including problem situations). HA1115 Using the Addition and Subtraction Properties for Equations HA1120 Using the Multiplication and Division Properties for Equations HA1124 Using a Concrete Model to Solve One and Two Step Equations HA1125 Solving Equations Using More Than One Property HA1140 Solving Equations by Combining Like Terms HA1144 Using a Concrete Model to Solve Equations with Variables on Both Sides HA1145 Solving Equations with Variables on Both Sides HA1360 Expressing Ratios in Simplest Form and Solving Equations Involving Proportions HA1382 Solving Linear Equations Using the Graphing Calculator HA1449 Applying Inductive and Deductive Reasoning HA1150 Writing an Equation to Solve Word Problems HA1155 Writing an Equation to Solve Consecutive Integer Problems HA1160 Writing an Equation to Solve Distance, Rate, and Time Problems HA1362 Solving Work Problems
6 HA1472 Solving Mixture Problems HA1165 HA1170 HA1380 HA1385 HA1398 HA1401 HA1394 HA1405 HA1410 HA1395 Using Equations to Solve Percent Problems Solving Percent of Change Problems Graphing Linear Equations Finding the Slope of a Line from its Graph or from the Coordinates of Two Points Graphing Linear Equations Using Slope and yintercept or Slope and a Point How Variations of "m" and "b"; Affect the Graph of y = mx + b Interchanging Linear Equations Between Standard Form and SlopeIntercept Form Determining an Equation of a Line Given the Slope and Coordinates of One Point Determining an Equation of a Line Given the Coordinates of Two Points Finding the Equation of a Line Parallel or Perpendicular to a Given Line A Use and/or identify an algebraic property to justify any step in an equationsolving process. Note: Linear equations only. HA1115 Using the Addition and Subtraction Properties for Equations HA1120 Using the Multiplication and Division Properties for Equations HA1124 Using a Concrete Model to Solve One and Two Step Equations HA1125 Solving Equations Using More Than One Property HA1140 Solving Equations by Combining Like Terms HA1144 Using a Concrete Model to Solve Equations with Variables on Both Sides HA1145 Solving Equations with Variables on Both Sides
7 A Interpret solutions to problems in the context of the problem situation. Note: Linear equations only. HA1360 HA1155 HA1160 Expressing Ratios in Simplest Form and Solving Equations Involving Proportions Writing an Equation to Solve Consecutive Integer Problems Writing an Equation to Solve Distance, Rate, and Time Problems HA1362 Solving Work Problems HA1472 Solving Mixture Problems HA1165 Using Equations to Solve Percent Problems HA1170 Solving Percent of Change Problems HA1455 Solving Systems of Linear Equations by Graphing HA1460 Solving Systems of Linear Equations by the Substitution Method HA1465 Solving Systems of Linear Equations by the Addition/Subtraction Method HA1470 Solving Systems of Linear Equations by the Multiply/Add/Subtract Method HA1806 Solving Systems of Linear Equations Using the Graphing Calculator 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. HA1455 Solving Systems of Linear Equations by Graphing HA1460 Solving Systems of Linear Equations by the Substitution Method
8 HA1465 Solving Systems of Linear Equations by the Addition/Subtraction Method HA1470 Solving Systems of Linear Equations by the Multiply/Add/Subtract Method A Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear equations. HA1806 HA1455 HA1460 Solving Systems of Linear Equations Using the Graphing Calculator Solving Systems of Linear Equations by Graphing Solving Systems of Linear Equations by the Substitution Method HA1465 Solving Systems of Linear Equations by the Addition/Subtraction Method HA1470 Solving Systems of Linear Equations by the Multiply/Add/Subtract Method A Write, solve, and/or graph linear inequalities using various methods. A Write or solve compound inequalities and/or graph their solution sets on a number line (may include absolute value inequalities). HA1806 HA1200 HA1205 Solving Systems of Linear Equations Using the Graphing Calculator Combined Inequalities Solving Combined Inequalities A Identify or graph the solution set to a linear inequality on a number line. HA1185 Solving Inequalities Using the Addition and Subtraction Properties HA1190 Solving Inequalities Using the Multiplication and Division Properties HA1195 Solving Inequalities Using More Than One Property
9 A Interpret solutions to problems in the context of the problem situation. Note: Linear inequalities only. HA1185 Solving Inequalities Using the Addition and Subtraction Properties HA1190 Solving Inequalities Using the Multiplication and Division Properties HA1195 Solving Inequalities Using More Than One Property A A Write and/or solve a system of linear inequalities using graphing. Note: Limit systems to two linear inequalities. HA1415 Graphing Linear Inequalities with Two Variables HA1416 Graphing Linear Inequalities with Two Variables Using the Graphing Calculator HA1475 Graphing the Solution Set of a System of Linear Inequalities A Interpret solutions to problems in the context of the problem situation. Note: Limit systems to two linear inequalities. HA1870 HA1415 HA1416 Solving Problems with Systems of Linear Equations and Inequalities Graphing Linear Inequalities with Two Variables Graphing Linear Inequalities with Two Variables Using the Graphing Calculator HA1475 Graphing the Solution Set of a System of Linear Inequalities HA1870 Solving Problems with Systems of Linear Equations and Inequalities
10 MODULE 2 Linear Functions and Data Organizations A1.2.1 ASSESSMENT ANCHOR Functions A DESCRIPTOR Analyze and/or use patterns or relations. A ELIGIBLE CONTENT Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. I CAN Learn Lesson # MPA270 I CAN Learn Lesson Title Generating Algebraic Expressions from Patterns of Models HA1447 HA1448 Identifying Number Patterns Finding the nth Term of a Pattern A Determine whether a relation is a function, given a set of points or a graph. MPA103 Distinguishing Between Relations and Functions HA1437 Identifying Relations as Functions A Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table). HA1438 Finding the Domain and Range of Functions HA1867 Identifying Domain and Range of Relations Given Graphs, Tables, or Sets of Ordered Pairs A Interpret and/or use linear functions and their equations, graphs, or tables. A Create, interpret, and/or use the equation, graph, or table of a linear function. HA1441 Applications of Functions and Relations Involving Distance, Rate, and Time HA1442 Interpreting Graphs of Functions in RealLife Situations
11 A1.2.2 A DESCRIPTOR Describe, compute, and/or use the rate of change (slope) of a line. A Translate from one representation of a linear function to another (i.e., graph, table, and equation). ASSESSMENT ANCHOR ELIGIBLE CONTENT Identify, describe, A and/or use constant rates of change. A Apply the concept of linear rate of change (slope) to solve problems. HA1955 Analyzing Linear Functions HA1960 HA1402 I CAN Learn Lesson # HA1955 HA1398 HA1401 HA1955 HA1960 RealWorld Applications of Linear Functions Translating Among Multiple Representations of Functions I CAN Learn Lesson Title Analyzing Linear Functions Coordinate Geometry Graphing Linear Equations Using Slope and yintercept or Slope and a Point How Variations of m and b Affect the Graph of y = mx + b Analyzing Linear Functions RealWorld Applications of Linear Functions
12 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 pointslope, standard, and/or slopeintercept form. HA1380 Graphing Linear Equations HA1385 Finding the Slope of a Line from its Graph or from the Coordinates of Two Points HA1398 Graphing Linear Equations Using Slope and yintercept or Slope and a Point HA1401 How Variations of "m" and "b"; Affect the Graph of y = mx + b HA1394 Interchanging Linear Equations Between Standard Form and SlopeIntercept Form HA1405 Determining an Equation of a Line Given the Slope and Coordinates of One Point HA1410 Determining an Equation of a Line Given the Coordinates of Two Points HA1405 Determining an Equation of a Line Given the Slope and Coordinates of One Point HA1410 Determining an Equation of a Line Given the Coordinates of Two Points A Determine the slope and/or yintercept represented by a linear equation or graph. HA1955 Analyzing Linear Functions HA1960 RealWorld Applications of Linear Functions
13 HA1401 How Variations of "m" and "b"; Affect the Graph of y = mx + b HA1405 Determining an Equation of a Line Given the Slope and Coordinates of One Point HA1410 Determining an Equation of a Line Given the Coordinates of Two Points 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. HA1965 Determining the BestFitting Line MPA132 Interpreting and Creating Scatterplots HA1605 Interpreting the Correlation Coefficient of a Linear Fit HA1965 Determining the BestFitting Line ASSESSMENT ANCHOR A1.2.3 Data Analysis DESCRIPTOR ELIGIBLE CONTENT I CAN Learn Lesson # I CAN Learn Lesson Title A Use measures of dispersion to describe a set of data. A Calculate and/or interpret the range, quartiles, and interquartile range of data. HA1540 Finding the Mean, Median, and Mode from Data and Frequency Distribution Tables HA1541 Analyzing Data Using the Measures of Central Tendency and the Range MPA097 Constructing BoxandWhisker Plots HA1555 Computing the Range, Variance, and Standard Deviation of a Set of Data
14 A Use data displays in problemsolving 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. HA1877 Drawing Inferences and Making Predictions from Tables and Graphs MPA092 Reading and Interpreting Bar, Line, and Circle Graphs MPA098 Making Predictions from Graphs and Choosing the Correct Graph MPA099 Making Predictions from Graphs and Choosing the Correct Graph A Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations). HA1545 Using Frequency Tables HA1540 Finding the Mean, Median, and Mode from Data and Frequency Distribution Tables HA1541 Analyzing Data Using the Measures of Central Tendency and the Range HA1965 Determining the BestFitting Line HA1605 Interpreting the Correlation Coefficient of a Linear Fit HA1885 Histograms and the Normal Distribution HA1555 Computing the Range, Variance, and Standard Deviation of a Set of Data HA1877 Drawing Inferences and Making Predictions from Tables and Graphs MPA096 Constructing StemandLeaf Plots MPA097 Constructing BoxandWhisker Plots
15 MPA131 Interpreting and Creating Histograms MPA132 Interpreting and Creating Scatterplots MPA835 Using Measures of Central Tendency MPA836 Using Measures of Variation A Make predictions using the equations or graphs of bestfit lines of scatter plots. HA1965 Determining the BestFitting Line HA1605 Interpreting the Correlation Coefficient of a Linear Fit MPA132 Interpreting and Creating Scatterplots A Apply probability to practical situations. A Find probabilities for compound events (e.g., fi nd probability of red and blue, find probability of red or blue) and represent as a fraction, decimal, or percent. HA1605 HA1879 HA1560 Interpreting the Correlation Coefficient of a Linear Fit Applying Counting Techniques to Permutations and Combinations Determining Probability of an Event and Complementary Event from a Random Experiment HA1555 Computing the Range, Variance, and Standard Deviation of a Set of Data MPA090 Finding the Probability of Simple RealLife Events MPA112 Constructing Sample Spaces for Compound Events (Dependent and Independent) MPA113 Finding the Probability of Compound Events Through Experimentation MPA114 Finding the Odds of Events and Experimental Probability from a Math Model
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