New Jersey HSPA: High School Proficiency Assessment in Mathmatics

New Jersey HSPA: High School Proficiency Assessment in Mathmatics

by Mel Friedman, Max Fogiel

REA … Real review, Real practice, Real results.
REA's New Jersey HSPA Mathematics Study Guide!
Fully aligned with the benchmarks of the NJ State Board of Education
Are you prepared to excel on this state high-stakes assessment exam? 
* Passing the exam is…  See more details below


REA … Real review, Real practice, Real results.
REA's New Jersey HSPA Mathematics Study Guide!
Fully aligned with the benchmarks of the NJ State Board of Education
Are you prepared to excel on this state high-stakes assessment exam? 
* Passing the exam is required to graduate high school
* Find out what you know and what you should know
* Use REA's advice and tips to ready yourself for proper study and practice
Sharpen your knowledge and skills
* The book's full subject review refreshes knowledge and covers all topics on the official exam, including all four content clusters and their respective macros
* Smart and friendly lessons reinforce necessary skills
* Key tutorials enhance specific abilities needed on the test
* Targeted drills increase comprehension and help organize study
* Color icons and graphics highlight important concepts and tasks
Practice for real
* Create the closest experience to test-day conditions with two full-length practice tests
* Chart your progress with detailed explanations of each answer
* Boost confidence with test-taking strategies and focused drills
Ideal for Classroom, Family, or Solo Test Preparation!
REA has helped generations of students study smart and excel on the important tests. REA’s study guides for state-required exams are teacher-recommended and written by experts who have mastered the test.

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Product Details

Research & Education Association
Publication date:
Test Preps
Product dimensions:
8.48(w) x 10.84(h) x 0.67(d)

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About this book
This book will provide you with an accurate and complete representation of the New Jersey High School Proficiency Assessment (HSPA) in Mathematics. Inside you will find reviews that are designed to provide you with the information and strategies needed to do well on this section of the HSPA. We also provide two full-length practice tests, both of which are based on the official HSPA. REA's practice tests contain every type of question that you can expect to encounter on the HSPA. Following each model test, you will find an answer key with detailed explanations designed to help you completely understand the test material. (NOTE TO EDUCATORS: Also included are over 200 class and homework problems that can be assigned to students. Answers to these questions can be found in the Teacher's Guide, which is available from REA.)

About the Test

Who takes the test and what is it used for?
The HSPA is mandatory for New Jersey high school juniors. It gauges students' knowledge and skills in the New Jersey Core Curriculum Content Standards. One section of the test is devoted to mathematics, the other to language arts. (Other subjects, including science and social studies, are tentatively scheduled for later testing under the HSPA umbrella).
All New Jersey high school students are required to pass the entire test in order to graduate. Students who do not pass a section are given an opportunity to retake the test in the fall or spring of the 12th grade.
Who administers the test?
The HSPA was developed and is administered by the New Jersey State Department of Education and involves the assistance of educators throughout the state. The test development process is designed and implemented to ensure that the content and difficulty level of the test are appropriate.

When and where is the test given?
The HSPA is administered in March and October. It is given at all public high schools. The testing lasts for three days, and may be taken on alternate days if a conflict--such as a religious obligation--exists.
To receive information on upcoming administrations of the HSPA, consult the Grade 11 High School Proficiency Assessment Parent Information Bulletin. The bulletin can be obtained from your guidance counselor or by contacting:
New Jersey State Department of Education
CN 500
Trenton, NJ 08265
Phone: (609) 292-4469

Is there a registration fee?
No. Because all New Jersey high school students are required to take this test, no fee is imposed.

How to Use this Book

What do I study first?
Read over the reviews and the suggestions for test-taking. Studying the reviews thoroughly will reinforce the basic skills you will need to do well on the test. Be sure to take the practice tests to become familiar with the format and procedures involved with taking the actual HSPA.
To best utilize your study time, follow our HSPA Independent Study Schedule located in the front of this book. Brushing up on the areas you did well on wouldn't hurt either.
When should I start studying?
It is never too early to start studying for the HSPA. The earlier you begin, the more time you will have to sharpen your skills. Do not procrastinate! Cramming is not an effective way to study, since it does not allow you the time needed to learn the test material. The sooner you learn the format of the exam, the more time you will have to familiarize yourself with the exam content.
Format of the HSPA mathematics
Section Time Allotted Percent of Test

Most of the questions on the HSPA are in multiple-choice format with four options. There is one exception: the Open-Ended Questions, which call for a written short answer. Answer choices will not be presented in the Open-Ended Questions. There are two open-ended questions for each of the test's three sections. A brief break will be given after each section.
Mathematics Content Clusters
In the mathematics sections, you will encounter questions on the following "clusters" of knowledge:

• Number Sense, Concepts, and Applications--These questions deal with the following topics: our numeration system (and its application in real-world situations); and ratios, percents, and proportions.

• Spacial Sense and Geometry--These questions deal with the following topics: identifying geometric properties, relationships, and patterns in real-world and/or problem-solving situations; using coordinate geometry and principles of congruence, similarity, and transformations; and direct and indirect measurement.

• Data Analysis, Probability, Statistics, and Discrete Mathematics--These questions deal with the following topics: probabilities of simple and compound events; statistical distributions; organization and representation of data; discrete mathematics; and iterative and recursive processes.

• Patterns, Functions, and Algebra--These questions test the student's capability in the following topics: patterns and inductive reasoning; various types of functions; and algebraic concepts and processes.
Calculator Use
Calculators will be permitted and, in fact, will be provided during the test. You may use a programmable or non-programmable four-function, scientific, or graphing calculator. No pocket organizers, hand-held minicomputers, paper tape, or noisy calculators may be used. In addition, calculators requiring an external power source will not be permitted. You will not be allowed to share a calculator.

About the Review Sections
The reviews in this book are designed to help you sharpen the basic skills needed to approach the HSPA, as well as to provide strategies for attacking each type of question. You will also find exercises to reinforce what you have learned. By using the reviews in conjunction with the practice tests, you will put yourself in a position to master the HSPA.

Mathematics Review
The Mathematics Section Review covers the basics of what you need to know to pass the Mathematics Section of the HSPA. You will find strategies for the Mathematics Section, a review of each cluster and its individual "macros," and exercises to strengthen your abilities in these areas.
Your scores will be reported as being in one of three proficiency levels--Advanced Proficient, Proficient, or Partially Proficient. Subtotal scores will also be reported for the specific knowledge and skills measured in each content area. The following information can be used in determining whether you have passed the practice tests provided in this book.
For each section there is a possible number of points that a student can receive. Each multiple-choice question equals 1 point and each open-ended question is worth from 0 to 3 points. To determine points received, the student must add all correct responses for the multiple-choice and open-ended questions.
When determining open-ended points for the Mathematics sections, the number of points received is established by an evaluator. The score can range from 0 to 3. Each evaluator is specially trained for this type of test response. It is advised that a teacher review and score all open-ended questions.
Once each section is graded, the total number of points received should be added together. This is your raw score.
Total Scaled Score
Your scores will be scaled to account for differences in various test administrations and forms; the scaled Mathematics score will be within a range of 100 to 300 points, with 200 being the minimum passing ("proficient") score. Since it is not possible to replicate the scaling formula for the HSPA, use the following standards to score your practice tests.
· A passing (Proficient) score for the Mathematics test is a raw score of 22.5.
How do I score my practice test?

Use the scoring worksheet below to score each of our two practice tests. While the score you earn on our practice tests approximates the score you will receive on the HSPA, it should not be construed as a precise predictor of your actual test performance.
Part I
_____________ + ______________ = __________
points received points received raw score multiple-choice open-ended

Part II
_____________ + ______________ = __________
points received points received raw score multiple-choice open-ended

Part III
_____________ + ______________ = __________
points received points received raw score multiple-choice open-ended

Part IV
_____________ + ______________ = __________
points received points received raw score multiple-choice open-ended

Test-Taking tips
Although you may not be familiar with standardized tests such as the HSPA, there are many ways to acquaint yourself with this type of examination and help alleviate your test-taking anxieties. Listed below are ways to help you become accustomed to the HSPA, some of which may be applied to other standardized tests as well.
Become comfortable with the format of the HSPA. When you are practicing, simulate the conditions under which you will be taking the actual test. Stay calm and pace yourself. After simulating the test only a couple of times, you will boost your chances of doing well, and you will be able to sit down for the actual HSPA with much more confidence.
Read all of the possible answers. Just because you think you have found the correct response, do not automatically assume that it is the best answer. Read through each choice to be sure that you are not making a mistake by jumping to conclusions.
Use the process of elimination. Go through each answer to a question and eliminate as many of the answer choices as possible. By eliminating two answer choices, you can vastly improve your chances of getting the item correct, since there will only be two or three choices left from which to make your guess. Guess only if you can eliminate at least two answers, as wrong answers will be penalized.
Work quickly and steadily. You will have only minutes to work on each section, so work quickly and steadily to avoid focusing on any one problem for too long. Taking the practice tests in this book will help you learn to budget your precious time.
Learn the directions and format for each section of the test. Familiarizing yourself with the directions and format of the different test sections will not only save time, but will also help you avoid anxiety (and the mistakes caused by getting anxious).
Work on the easier questions first. If you find yourself working too long on one question, make a mark next to it on your test booklet and continue. After you have answered all of the questions that you can, go back to the ones you have skipped.
Be sure that the answer oval you are marking corresponds to the number of the question in the test booklet. Since the multiple-choice sections are graded by machine, marking one wrong answer can throw off your answer key and your score. Be extremely careful.
Eliminate obvious wrong answers. Sometimes an HSPA question will have one or two answer choices that are a little odd. These answers will be obviously wrong for one of several reasons: they may be impossible given the conditions of the problem, they may violate mathematical rules or principles, or they may be illogical. Being able to spot obvious wrong answers before you finish a problem gives you an advantage because you will be able to make a more educated guess from the remaining choices even if you are unable to fully solve the problem.
Work from answer choices. One of the ways you can use a multiple-choice format to your advantage is to work backwards from the answer choices to solve a problem. This is not a strategy you can use all of the time, but it can be helpful if you can just plug the choices into a given statement or equation. The answer choices can often narrow the scope of responses. You may be able to make an educated guess based on eliminating choices that you know do not fit into the problem.

The Day of the Test
Before the Test
On the day of the test, you should wake up early (it is hoped after a decent night's rest) and have a good breakfast. Make sure to dress comfortably, so that you are not distracted by being too hot or too cold while taking the test. Also plan to arrive at the test center early. This will allow you to collect your thoughts and relax before the test, and will also spare you the anguish that comes with being late.
If you would like, you may wear a watch to the test center. However, you may not wear one that makes noise, because it may disturb the other test-takers. No dictionaries, textbooks, notebooks, briefcases, or packages will be permitted; drinking, smoking, and eating are prohibited. Only your pencils and calculator will be permitted into the testing area. You will be provided with a Mathematics Reference Sheet, containing a ruler, useful formulas, geometric shapes, and various information that may be useful in solving problems. Calculators will also be provided, as well as pencils.
During the Test
Once you enter the test center, follow all of the rules and instructions given by the test supervisor. If you do not, you risk being dismissed from the test and having your HSPA scores canceled.
When all of the test materials have been passed out, the test supervisor will give you directions for filling out your answer folder. You must fill out this sheet carefully since this information will be printed on your score report. Fill out your name exactly as it appears on your identification documents, unless otherwise instructed.
Remember that you can write in your test booklet, as no scratch paper will be provided. Mark your answers in the appropriate spaces in the answer folder. Each numbered row will contain four ovals corresponding to each answer choice for that question. Fill in the oval that corresponds to your answer darkly, completely, and neatly. You can change your answer, but be sure to completely erase your old answer. Only one answer should be marked. This is very important, as your answer sheet will be machine-scored and stray lines or unnecessary marks may cause the machine to score your answers incorrectly.
After the Test
Once your test materials have been collected, you will be dismissed. Then, go home and relax--you deserve it! Your score report will arrive in about five weeks.

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