Download 2012 EOC Algebra I Item Samplers ePAT Teacher

Teacher Guide
for Scorable ePATs
2012
ITEM SAMPLERS
Tennessee End of Course Assessment
Algebra I
Algebra I
Table of Contents
Teacher Guide for Scorable ePATs............................................................ 3
Getting Started ........................................................................................... 3
Taking the Test ............................................................................................. 3
Sample Detailed Response Report ........................................................... 4
Answer Key by Reporting Category with Performance Indicator ......... 5
Sampler A: Mathematical Processes .............................................. 5
Sampler B: Mathematical Processes .............................................. 6
Sampler C: Number and Operations ............................................. 7
Sampler D: Algebra ......................................................................... 8
Sampler E: Algebra .......................................................................... 9
Sampler F: Algebra ........................................................................ 10
Sampler G: Geometry and Measurement ................................... 11
Sampler H: Data Analysis, Statistics, and Probability ................. 12
Troubleshooting ........................................................................................ 13
2
Copyright © 2011 by State of Tennessee Department of Education and Pearson
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 Performance Indicator 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 Performance Indicators. 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 Answer 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 http://www.pearsonaccess.com/cs/Satellite?pagename=Pearson/QuickLink/tn 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
Sample Detailed Response Report
Please note that not all responses are shown below.
Student Name
End of Course
Item Sampler
Content Area
Item
Response
Correct
Answer
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
Answer Key by Reporting Category with Performance Indicator
Sampler A: Mathematical Processes
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Correct
Performance Indicator
Answer
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
B
using variables or function notation.
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
A
using variables or function notation.
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
C
using variables or function notation.
C
3102.1.2 Write an equation symbolically to express a contextual problem.
A
3102.1.2 Write an equation symbolically to express a contextual problem.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
B
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
D
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
B
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
A
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
D
problems.
C
3102.1.4 Translate between representations of functions that depict real-world situations.
A
3102.1.4 Translate between representations of functions that depict real-world situations.
D
3102.1.4 Translate between representations of functions that depict real-world situations.
C
3102.1.4 Translate between representations of functions that depict real-world situations.
B
3102.1.4 Translate between representations of functions that depict real-world situations.
C
3102.1.4 Translate between representations of functions that depict real-world situations.
3102.1.5 Recognize and express the effect of changing constants and/or coefficients in problem
D
solving.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
B
problems.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
D
problems.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
B
problems.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
5
Sampler B: Mathematical Processes
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
6
Correct
Performance Indicator
Answer
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
C
using variables or function notation.
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
A
using variables or function notation.
3102.1.1 Interpret patterns found in sequences, tables, and other forms of quantitative information
C
using variables or function notation.
B
3102.1.2 Write an equation symbolically to express a contextual problem.
B
3102.1.2 Write an equation symbolically to express a contextual problem.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
D
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
B
problems.
3102.1.3 Apply properties to evaluate expressions, simplify expressions, and justify solutions to
A
problems.
C
3102.1.4 Translate between representations of functions that depict real-world situations.
B
3102.1.4 Translate between representations of functions that depict real-world situations.
A
3102.1.4 Translate between representations of functions that depict real-world situations.
B
3102.1.4 Translate between representations of functions that depict real-world situations.
D
3102.1.4 Translate between representations of functions that depict real-world situations.
B
3102.1.4 Translate between representations of functions that depict real-world situations.
3102.1.5 Recognize and express the effect of changing constants and/or coefficients in problem
C
solving.
3102.1.5 Recognize and express the effect of changing constants and/or coefficients in problem
D
solving.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
A
problems.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
C
problems.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
A
problems.
3102.1.6 Determine and interpret slope in multiple contexts including rate of change in real-world
B
problems.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
Sampler C: Number and Operations
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Correct
Performance Indicator
Answer
3102.2.1 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical
A
expressions including radicands involving rational numbers and algebraic expressions.
3102.2.1 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical
D
expressions including radicands involving rational numbers and algebraic expressions.
3102.2.1 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical
C
expressions including radicands involving rational numbers and algebraic expressions.
3102.2.1 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical
D
expressions including radicands involving rational numbers and algebraic expressions.
3102.2.1 Operate (add, subtract, multiply, divide, simplify, powers) with radicals and radical
A
expressions including radicands involving rational numbers and algebraic expressions.
D
3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.
C
3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.
A
3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.
D
3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.
A
3102.2.2 Multiply, divide, and square numbers expressed in scientific notation.
3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
C
numbers.
3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
D
numbers.
3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
A
numbers.
3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
C
numbers.
3102.2.3 Describe and/or order a given set of real numbers including both rational and irrational
D
numbers.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
7
Sampler D: Algebra
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
8
Correct
Performance Indicator
Answer
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
D
function notation.
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
C
function notation.
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
D
function notation.
D
3102.3.2 Operate with polynomials and simplify results.
C
3102.3.2 Operate with polynomials and simplify results.
B
3102.3.3 Factor polynomials.
C
3102.3.3 Factor polynomials.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
A
restrictions on the domain of the variables.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
B
restrictions on the domain of the variables.
3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including
D
those containing absolute value.
3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including
C
those containing absolute value.
A
3102.3.6 Interpret various relations in multiple representations.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
B
and/or evaluate a function at a specified rational value.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
D
and/or evaluate a function at a specified rational value.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
C
and/or evaluate a function at a specified rational value.
A
3102.3.8 Determine the equation of a line and/or graph a linear equation.
C
3102.3.9 Solve systems of linear equations/inequalities in two variables.
A
3102.3.9 Solve systems of linear equations/inequalities in two variables.
B
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function.
A
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
A
contextual situation.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
D
contextual situation.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
Sampler E: Algebra
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
Correct
Performance Indicator
Answer
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
C
function notation.
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
D
function notation.
C
3102.3.2 Operate with polynomials and simplify results.
A
3102.3.2 Operate with polynomials and simplify results.
A
3102.3.3 Factor polynomials.
D
3102.3.3 Factor polynomials.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
A
restrictions on the domain of the variables.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
B
restrictions on the domain of the variables.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
D
restrictions on the domain of the variables.
3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including
A
those containing absolute value.
C
3102.3.6 Interpret various relations in multiple representations.
B
3102.3.6 Interpret various relations in multiple representations.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
D
and/or evaluate a function at a specified rational value.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
C
and/or evaluate a function at a specified rational value.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
B
and/or evaluate a function at a specified rational value.
C
3102.3.8 Determine the equation of a line and/or graph a linear equation.
B
3102.3.8 Determine the equation of a line and/or graph a linear equation.
C
3102.3.9 Solve systems of linear equations/inequalities in two variables.
A
3102.3.9 Solve systems of linear equations/inequalities in two variables.
C
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function.
A
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
A
contextual situation.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
D
contextual situation.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
9
Sampler F: Algebra
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
10
Correct
Performance Indicator
Answer
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
B
function notation.
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
C
function notation.
3102.3.1 Express a generalization of a pattern in various representations including algebraic and
B
function notation.
A
3102.3.2 Operate with polynomials and simplify results.
C
3102.3.2 Operate with polynomials and simplify results.
C
3102.3.3 Factor polynomials.
A
3102.3.3 Factor polynomials.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
C
restrictions on the domain of the variables.
3102.3.4 Operate with, evaluate, and simplify rational expressions including determining
D
restrictions on the domain of the variables.
3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including
A
those containing absolute value.
3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including
A
those containing absolute value.
D
3102.3.6 Interpret various relations in multiple representations.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
A
and/or evaluate a function at a specified rational value.
3102.3.7 Determine domain and range of a relation, determine whether a relation is a function
D
and/or evaluate a function at a specified rational value.
A
3102.3.8 Determine the equation of a line and/or graph a linear equation.
D
3102.3.8 Determine the equation of a line and/or graph a linear equation.
D
3102.3.9 Solve systems of linear equations/inequalities in two variables.
B
3102.3.9 Solve systems of linear equations/inequalities in two variables.
A
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function..
C
3102.3.10 Find the solution of a quadratic equation and/or zeros of a quadratic function.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
B
contextual situation.
3102.3.11 Analyze nonlinear graphs including quadratic and exponential functions that model a
D
contextual situation.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
Sampler G: Geometry and Measurement
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
Correct
Answer
C
B
C
C
B
C
D
C
B
C
D
C
A
C
D
B
D
C
A
D
B
Performance Indicator
3102.4.1 Develop and apply strategies to estimate the area of any shape on a plane grid.
3102.4.1 Develop and apply strategies to estimate the area of any shape on a plane grid.
3102.4.1 Develop and apply strategies to estimate the area of any shape on a plane grid.
3102.4.1 Develop and apply strategies to estimate the area of any shape on a plane grid.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.2 Solve contextual problems using the Pythagorean Theorem.
3102.4.3 Solve problems involving the distance between points or midpoint of a segment.
3102.4.3 Solve problems involving the distance between points or midpoint of a segment.
3102.4.3 Solve problems involving the distance between points or midpoint of a segment.
3102.4.3 Solve problems involving the distance between points or midpoint of a segment.
3102.4.3 Solve problems involving the distance between points or midpoint of a segment.
3102.4.4 Convert rates and measurements.
3102.4.4 Convert rates and measurements.
3102.4.4 Convert rates and measurements.
3102.4.4 Convert rates and measurements.
3102.4.4 Convert rates and measurements.
3102.4.4 Convert rates and measurements.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
11
Sampler H: Data Analysis, Statistics, and Probability
Item
Number
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
12
Correct
Performance Indicator
Answer
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
D
trends, and/or outliers in a data set).
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
A
trends, and/or outliers in a data set).
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
D
trends, and/or outliers in a data set).
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
C
trends, and/or outliers in a data set).
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
D
trends, and/or outliers in a data set).
3102.5.1 Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern,
A
trends, and/or outliers in a data set).
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
D
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
B
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
D
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
A
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
B
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
D
changed.
3102.5.2 Identify the effect on mean, median, mode, and range when values in the data set are
B
changed.
3102.5.3 Using a scatterplot, determine if a linear relationship exists and describe the association
C
between variables.
3102.5.3 Using a scatterplot, determine if a linear relationship exists and describe the association
D
between variables.
3102.5.3 Using a scatterplot, determine if a linear relationship exists and describe the association
B
between variables.
3102.5.3 Using a scatterplot, determine if a linear relationship exists and describe the association
A
between variables.
C
3102.5.4 Generate the equation of a line that fits linear data and use it to make a prediction.
C
3102.5.4 Generate the equation of a line that fits linear data and use it to make a prediction.
C
3102.5.4 Generate the equation of a line that fits linear data and use it to make a prediction.
3102.5.5 Determine theoretical and/or experimental probability of an event and/or its complement
A
including using relative frequency.
3102.5.5 Determine theoretical and/or experimental probability of an event and/or its complement
C
including using relative frequency.
3102.5.5 Determine theoretical and/or experimental probability of an event and/or its complement
B
including using relative frequency.
3102.5.5 Determine theoretical and/or experimental probability of an event and/or its complement
C
including using relative frequency.
Copyright © 2011 by State of Tennessee Department of Education and Pearson
Troubleshooting
If you have any technical questions, please contact Pearson’s Help Desk at 888-817-8658,
or by email to [email protected].
Copyright © 2011 by State of Tennessee Department of Education and Pearson
13
Teacher Guide for Scorable ePATs
Tennessee End of Course Assessment
Algebra I Item Samplers