Teacher Guide for Scorable epats ITEM SAMPLERS. Tennessee End of Course Assessment Algebra I. Algebra I


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1 Teacher Guide for Scorable epats 2012 ITEM SAMPLERS Tennessee End of Course Assessment Algebra I Algebra I
2 Table of Contents Teacher Guide for Scorable epats... 3 Getting Started... 3 Taking the Test... 3 Sample Detailed Response Report... 4 Key by Reporting Category with... 5 Sampler A: Mathematical Processes... 5 Sampler B: Mathematical Processes... 6 Sampler C: and Operations... 7 Sampler D: Algebra... 8 Sampler E: Algebra... 9 Sampler F: Algebra Sampler G: Geometry and Measurement Sampler H: Data Analysis, Statistics, and Probability Troubleshooting Copyright 2011 by State of Tennessee Department of Education and Pearson
3 Teacher Guide for Scorable epats The purpose of the Item Samplers is to help prepare students for the Tennessee End of Course tests by providing examples of different item types for each that may be tested in any given End of Course administration. The items in these Item Samplers will not be found in the End of Course tests. The number of items in each Item Sampler does not reflect the emphasis of content on the test. In order to identify the emphasis of content, the End of Course Assessment Practice Tests should be used. The Practice Tests give a better representation of content emphasis across Reporting Categories and s. The student should be allowed ample time to read and answer each of the questions and will be able to flag items for later review and return to any item in the test before finally submitting the test for scoring. Once a student submits a test, the test will be scored and a detailed report showing the number of correct and incorrect answers will be generated. Teachers may use the corresponding Key by Reporting Category with Performance Indicator table to identify areas in which a student may require additional instruction. Getting Started To administer an Item Sampler: 1. Enter into your browser to go to PearsonAccess Tennessee. 2. Click on the Support tab. 3. Under Resource Categories select epats. 4. Select EOC. 5. Select the desired Item Sampler. Taking the Test To take an Item Sampler: 1. After clicking the link to the selected Item Sampler, a student will be prompted to type his or her name. 2. After typing his or her name, the student will click OK and proceed automatically to the test directions page. 3. After reading the directions, the student can use the Next button to begin the test. 4. Once the student has reviewed and answered all questions, he or she will proceed to the Review page. After verifying that all questions have been answered, the student will click Continue To Test Overview. 5. On the next screen, the student will click Submit And Exit Test and then select I am finished with this test and want to submit my final answers and then click the green Final Submit button. 6. A detailed response report showing which questions the student answered correctly will be generated. This report can be saved to a designated folder or printed. (A sample of this report is shown on the following page.) Copyright 2011 by State of Tennessee Department of Education and Pearson 3
4 Sample Detailed Response Report Please note that not all responses are shown below. Student Name End of Course Item Sampler Content Area Item Response Score Question 1 C C 1 Question 2 A A 1 Question 3 B B 1 Question 4 C B 0 Question 5 D D 1 Question 6 D D 1 Congratulations! You completed the test. You answered (X) correct out of (XX) questions. All scores on this page are considered to be preliminary. 4 Copyright 2011 by State of Tennessee Department of Education and Pearson
5 Key by Reporting Category with Item 1 B 2 A Sampler A: Mathematical Processes Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or 3 C Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or 4 C Write an equation symbolically to express a contextual problem. 5 A Write an equation symbolically to express a contextual problem. 6 B 7 D 8 B 9 A 10 D 11 C Translate between representations of functions that depict realworld situations. 12 A Translate between representations of functions that depict realworld situations. 13 D Translate between representations of functions that depict realworld situations. 14 C Translate between representations of functions that depict realworld situations. 15 B Translate between representations of functions that depict realworld situations. 16 C Translate between representations of functions that depict realworld situations. 17 D 18 B 19 D 20 B Recognize and express the effect of changing constants and/or coefficients in problem solving Determine and interpret slope in multiple contexts including rate of change in realworld Determine and interpret slope in multiple contexts including rate of change in realworld Determine and interpret slope in multiple contexts including rate of change in realworld Copyright 2011 by State of Tennessee Department of Education and Pearson 5
6 Item 1 C 2 A Sampler B: Mathematical Processes Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or 3 C Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or 4 B Write an equation symbolically to express a contextual problem. 5 B Write an equation symbolically to express a contextual problem. 6 D 7 B 8 A 9 C Translate between representations of functions that depict realworld situations. 10 B Translate between representations of functions that depict realworld situations. 11 A Translate between representations of functions that depict realworld situations. 12 B Translate between representations of functions that depict realworld situations. 13 D Translate between representations of functions that depict realworld situations. 14 B Translate between representations of functions that depict realworld situations. 15 C 16 D 17 A 18 C 19 A 20 B Recognize and express the effect of changing constants and/or coefficients in problem solving Recognize and express the effect of changing constants and/or coefficients in problem solving Determine and interpret slope in multiple contexts including rate of change in realworld Determine and interpret slope in multiple contexts including rate of change in realworld Determine and interpret slope in multiple contexts including rate of change in realworld Determine and interpret slope in multiple contexts including rate of change in realworld 6 Copyright 2011 by State of Tennessee Department of Education and Pearson
7 Item 1 A 2 D 3 C 4 D Sampler C: and Operations Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions. 5 A Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical expressions including radicands involving rational numbers and algebraic expressions. 6 D Multiply, divide, and square numbers expressed in scientific notation. 7 C Multiply, divide, and square numbers expressed in scientific notation. 8 A Multiply, divide, and square numbers expressed in scientific notation. 9 D Multiply, divide, and square numbers expressed in scientific notation. 10 A Multiply, divide, and square numbers expressed in scientific notation. 11 C 12 D 13 A 14 C 15 D Describe and/or order a given set of real numbers including both rational and irrational numbers Describe and/or order a given set of real numbers including both rational and irrational numbers Describe and/or order a given set of real numbers including both rational and irrational numbers Describe and/or order a given set of real numbers including both rational and irrational numbers Describe and/or order a given set of real numbers including both rational and irrational numbers. Copyright 2011 by State of Tennessee Department of Education and Pearson 7
8 Item 1 D 2 C Sampler D: Algebra 3 D 4 D Operate with polynomials and simplify results. 5 C Operate with polynomials and simplify results. 6 B Factor polynomials. 7 C Factor polynomials. 8 A 9 B 10 D Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. 11 C Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. 12 A Interpret various relations in multiple representations. 13 B 14 D 15 C 16 A Determine the equation of a line and/or graph a linear equation. 17 C Solve systems of linear equations/inequalities in two variables. 18 A Solve systems of linear equations/inequalities in two variables. 19 B Find the solution of a quadratic equation and/or zeros of a quadratic function. 20 A Find the solution of a quadratic equation and/or zeros of a quadratic function. 21 A 22 D Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. 8 Copyright 2011 by State of Tennessee Department of Education and Pearson
9 Item 1 C Sampler E: Algebra 2 D 3 C Operate with polynomials and simplify results. 4 A Operate with polynomials and simplify results. 5 A Factor polynomials. 6 D Factor polynomials. 7 A 8 B 9 D Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables. 10 A Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. 11 C Interpret various relations in multiple representations. 12 B Interpret various relations in multiple representations. 13 D 14 C 15 B 16 C Determine the equation of a line and/or graph a linear equation. 17 B Determine the equation of a line and/or graph a linear equation. 18 C Solve systems of linear equations/inequalities in two variables. 19 A Solve systems of linear equations/inequalities in two variables. 20 C Find the solution of a quadratic equation and/or zeros of a quadratic function. 21 A Find the solution of a quadratic equation and/or zeros of a quadratic function. 22 A 23 D Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. Copyright 2011 by State of Tennessee Department of Education and Pearson 9
10 Item 1 B 2 C Sampler F: Algebra 3 B 4 A Operate with polynomials and simplify results. 5 C Operate with polynomials and simplify results. 6 C Factor polynomials. 7 A Factor polynomials. 8 C 9 D 10 A Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Operate with, evaluate, and simplify rational expressions including determining restrictions on the domain of the variables Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. 11 A Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. 12 D Interpret various relations in multiple representations. 13 A 14 D 15 A Determine the equation of a line and/or graph a linear equation. 16 D Determine the equation of a line and/or graph a linear equation. 17 D Solve systems of linear equations/inequalities in two variables. 18 B Solve systems of linear equations/inequalities in two variables. 19 A Find the solution of a quadratic equation and/or zeros of a quadratic function.. 20 C Find the solution of a quadratic equation and/or zeros of a quadratic function. 21 B 22 D Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation. 10 Copyright 2011 by State of Tennessee Department of Education and Pearson
11 Item Sampler G: Geometry and Measurement 1 C Develop and apply strategies to estimate the area of any shape on a plane grid. 2 B Develop and apply strategies to estimate the area of any shape on a plane grid. 3 C Develop and apply strategies to estimate the area of any shape on a plane grid. 4 C Develop and apply strategies to estimate the area of any shape on a plane grid. 5 B Solve contextual problems using the Pythagorean Theorem. 6 C Solve contextual problems using the Pythagorean Theorem. 7 D Solve contextual problems using the Pythagorean Theorem. 8 C Solve contextual problems using the Pythagorean Theorem. 9 B Solve contextual problems using the Pythagorean Theorem. 10 C Solve contextual problems using the Pythagorean Theorem. 11 D Solve problems involving the distance between points or midpoint of a segment. 12 C Solve problems involving the distance between points or midpoint of a segment. 13 A Solve problems involving the distance between points or midpoint of a segment. 14 C Solve problems involving the distance between points or midpoint of a segment. 15 D Solve problems involving the distance between points or midpoint of a segment. 16 B Convert rates and measurements. 17 D Convert rates and measurements. 18 C Convert rates and measurements. 19 A Convert rates and measurements. 20 D Convert rates and measurements. 21 B Convert rates and measurements. Copyright 2011 by State of Tennessee Department of Education and Pearson 11
12 Item 1 D 2 A 3 D 4 C 5 D 6 A 7 D 8 B 9 D 10 A 11 B 12 D 13 B 14 C 15 D 16 B Sampler H: Data Analysis, Statistics, and Probability Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set) Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Identify the effect on mean, median, mode, and range when values in the data set are changed Using a scatterplot, determine if a linear relationship exists and describe the association between variables Using a scatterplot, determine if a linear relationship exists and describe the association between variables Using a scatterplot, determine if a linear relationship exists and describe the association between variables. 17 A Using a scatterplot, determine if a linear relationship exists and describe the association between variables. 18 C Generate the equation of a line that fits linear data and use it to make a prediction. 19 C Generate the equation of a line that fits linear data and use it to make a prediction. 20 C Generate the equation of a line that fits linear data and use it to make a prediction. 21 A 22 C 23 B 24 C Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency. 12 Copyright 2011 by State of Tennessee Department of Education and Pearson
13 Troubleshooting If you have any technical questions, please contact Pearson s Help Desk at , or by to Copyright 2011 by State of Tennessee Department of Education and Pearson 13
14 Teacher Guide for Scorable epats Tennessee End of Course Assessment Algebra I Item Samplers
Teacher Guide for Scorable epat
Teacher Guide for Scorable epat Table of Contents Teacher Guide for Scorable epat... 3 Getting Started... 3 Taking the Test... 3 Sample Detailed Response Report... 4 Reporting Categories and Answer Key...
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