NJ Ask Mathematics

Summary

REA'sReady, Set, Go!NJ ASK 6 Test Prep with TestWare CD Gets New Jersey Students Ready for the Mathematics Exam! REA's newReady, Set, Go!NJ ASK 6 test preptakes the confusion out of math and helps Grade 6 students succeed on the NJ ASK! All sixth grade students in New Jersey are required to pass the NJ ASK (Assessment of Skills and Knowledge) Grade 6 assessment test. This newest addition to ourReady, Set, Go!series is fully aligned with the core curriculum standards of the New Jersey Department of Education and gives sixth graders all the information they need to succeed on this important high-stakes exam. What makes REA's test preps different? For starters, students will actually like using them. Here's why: Math is explained in simple language, in an easy-to-follow style The test prep allows students to learn at their own pace and master the subject Student-friendly lessons break down the material into the basics Each lesson is fully devoted to a key math concept and includes many step-by-step examples Paced instruction with drills and quizzes reinforces learning Color icons throughout the book highlight important questions and study tips The book includes two full-length practice tests with detailed explanations of answers that allow students to test their knowledge and focus on areas in need of improvement REA's TestWare CD features the book's practice tests in a timed format with automatic scoring and diagnostic feedback. When students apply the skills they've mastered in this test prep, they can do better in class, raise their grades, and score higher on the NJ ASK. Math topics covered include: Number and Numerical Operations Geometry and Measurement Patterns and Algebra Data Analysis, Probability, and Discrete Mathematics Whether used in a classroom, for home or self study, or with a tutor, this test prep gets studentsreadyfor the important NJ ASK 6 math exam,setto take on new challenges, and helps themgoforward in their studies!

Author Biography

About the Authors

Steven T. Flanders is a calculus teacher at Woodland Hills High School in Pittsburgh, Pennsylvania. He has a Master’s degree in Curriculum and Instruction from Gannon University and is currently pursuing his Doctor of Education Degree in Mathematics Education from the University of Pittsburgh. He is an expert in preparing students for standardized tests and has demonstrated success with urban students on both the Pennsylvania State System of Assessment (PSSA) Tests and the Advanced Placement Calculus AB and BC exams.

Todd P. Campanella is a middle school mathematics teacher at Crockett Middle School in Hamilton Township, New Jersey. Mr. Campanella specializes in preparing students for the NJ ASK Mathematics tests both in his classroom and through his company, TPC Math Tutors LLC, which provides in-home tutors and solution assistance throughout New Jersey.

About Research & Education Association
Acknowledgments
About the Authors
Introduction
About This Book and TestWare“
What Is the NJ ASK?
When Is the NJ ASK Given?
What Is the Format of the NJ ASK?
Topics Covered on the NJ ASK6
How to Use This Book and TestWare“
Test Accommodations and Special Situations
Format and Scoring of the NJ ASK6 Mathematics Test
Where Can I Obtain More Information About the NJ ASK?
Tips for Test Taking
Number and Numerical Operations
Number Sense
Place Value-Comparing Whole Numbers and Decimals
Whole Number and Integers
Comparing Whole Numbers, Integers, and Decimals
Open-Ended Questions with Whole Numbers, Integers, and Decimals
Solutions
Using Numerical Operations on Whole Numbers, Integers, and Decimals
Adding and Subtracting Decimals
Multiplication and Division of Whole Numbers
Multiplication and Division of Decimals
Finding Squares and Cubes of Whole Numbers
Order of Operations Involving Addition, Subtraction, Multiplication, Division, and Parentheses
Solutions
Using Numerical Operations on Fractions
Prime Factorization
Least Common Multiple
Fractions and Mixed Numbers
Finding Equivalent Fractions and Reducing Fractions
Converting Fractions to Decimals and Decimals to Fractions
Adding and Subtracting Fractions and Mixed Numbers
Multiplying and Dividing Fractions and Mixed Numbers
Solutions
Using Numerical Operations with Ratios, Proportions, and Percents
The Ratio of Two Whole Numbers
Making Comparisons with Ratios
Proportions
Percents
Using Problem Solving and Proportions to Solve Word Problems
Solutions
Estimation
Estimating with Whole Numbers and Decimals
Estimating Products and Quotients
Solutions
Geometry and Measurement
Geometric Properties
Properties of Lines, Rays, Angles, Line Segments, Parallel Lines, Perpendicular Lines, and Intersecting Lines
Measuring Angles with a Protractor and Classifying Triangles by Angle Measure and Side Length
Identify, Describe, Compare, and Classify Polygons and Circles
Similar Figures, Congruence, and Symmetry
Identify and Compare Properties of Cylinders, Prisms, Cones, Pyramids, and Spheres
Projections of Three-Dimensional Shapes
Solutions
Transforming Shapes and Coordinate Geometry
Creating Geometric Shapes with Given Parameters
Mapping a Figure onto Another Figure Through Transformations
Solutions
Units of Measurement
Converting Between Units of Measure in the Metric System
Converting Between Units of Measurein the Customary System
Choosing Appropriate Units to Measure Geometric Quantities
Converting Between Metric and Customary Units of Measure
Solutions
Measuring Geometric Objects
Finding the Perimeter and Area of Various Geometric Figures
Surface Area and Volume of Rectangular Prisms and Cylinders
Solutions
Patterns and Algebra
Patterns
Solving Problems and Making Predictions from Patterns Composed of Whole and Rational Numbers
Creating Patterns and Making Predictions from Tables, Equations and Graphs
Patterns and Recursive Formulas
Solutions
Procedures, Functions, and Relationships
Evaluating Numerical and Algebraic Expressions
Solving Linear Equations
Algebraic Sentences Involving Inequalities
Solutions
Modeling
Model Descriptions of Situations by Using Patterns, Relations and Functions
Drawing Graphs and Making Predictions About Events, Changes Over Time, and Relations Between Quantities
Solutions
Data Analysis, Probability, and Discrete Mathematics
Data Analysis
Read and Interpret Graphs
Finding the Range, Median, and Mean
Solutions
Probability
Finding the Probability of an Event and the Probability of the Complement of an Event
Using the Multiplication Rule for Probabilities and Determining Probabilities from Experiments
Solutions
Discrete Mathematics-Counting
Solving Counting Problems
Using the Multiplication Counting Principle
Solutions
Vertex Edge Graphs and Algorithms
Developing Winning Strategies for Simple Games and Tasks
Using Vertex Edge Graphs
Solutions
Practice Test 1
Practice Test 2
Practice Test 1 Answer Key
Practice Test 1 Detailed Explanations of Answers
Practice Test 2 Answer Key
Practice Test 2 Detailed Explanations of Answers
Answers Sheets
Mathematics Manipulatives Sheet
Installing REA's TestWare“
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

Excerpts

Introduction

About This Book and Testware®
This book, along with REA’s exclusive TestWare® software, provides excellent preparation for the New Jersey ASK6 Mathematics test. Inside, you will find lessons, drills, strategies, and practice tests—all with a single-minded focus: success on the NJ ASK6, an acronym that stands for Assessment of Skills and Knowledge.

We have made every effort to make the book easy to read and navigate. The practice tests are included in two formats: in this book and software package. We recommend that you begin your preparation by first taking the practice exams on your computer. The software provides timed conditions and instantaneous, accurate scoring that makes it easier to pinpoint your strengths and weaknesses.

Students
This book was specially written and designed to make test practice easy and fruitful for you. Our practice tests are very much like the actual NJ ASK tests, and our review is filled with illustrations, drills, exercises, and practice questions to help you become familiar with the testing environment and to retain information about key topics.

Parents
The NJ ASK and other state assessment tests are designed to give you and the school personnel information about how well children are achieving in the areas required by New Jersey’s Core Curriculum Content Standards, which describe what students should know at the end of certain grades. This book helps your children review and prepare effectively and positively for the NJ ASK in Mathematics.

Teachers
Because you introduce students to the test-taking environment and the demands of the NJ ASK tests, our authoritative book can help you develop planned, guided instruction and practice testing. Effective preparation means better test scores!

What Is the NJ ASK?
The New Jersey Assessment of Skills and Knowledge is a standards-based assessment used in New Jersey’s public schools. Performance on the NJ ASK test does not equate with the grades students receive for teacher-assigned work, but rather with proficiency measures pegged to how well students are acquiring the knowledge and skills outlined in the state’s Core Curriculum Content Standards. Those proficiency measures fall into three broad categories, or bands: “partially proficient,” “proficient,” and “advanced proficient.”

When Is the NJ ASK Given?
The test is administered in early spring. Grade 6 students take the NJ ASK Mathematics test over two days in early May. During each session, students are asked to complete a combination of multiple-choice questions and open-ended questions. Total testing time is about two hours, which does not include the time used for distributing and collecting materials and reading directions.

What Is the Format of the NJ ASK?
The NJ ASK has two types of questions: multiple-choice and open-ended. The multiple-choice
questions require students to choose the correct answer out of four possible choices and fill-in the appropriate circle in their answer booklet. The open-ended questions require students to write written responses in their own words. Each test section is timed, and students may not proceed to the next section until time for the current section has expired. If students have not finished a section when time runs out, they must stop and put down their pencils. There are clear directions throughout the test.

Students will be allowed to use a calculator on some sections of the test. In addition, a reference sheet showing important formulas and information will be provided to the test takers. There is no need for the students to memorize the formulas and information. If any other materials (such as a protractor or ruler) are necessary for taking the test, they will be provided to the students.

Topics Covered on the NJ ASK6
There are five standards covered on the NJ ASK Grade 6 Mathematics test. Listed below are the standards and their associated strands.

Number and Numerical Operations
A. Number Sense
B. Numerical Operations
C. Estimation

Geometry and Measurement
A. Geometric Properties
B. Transforming Shapes
C. Coordinate Geometry
D. Units of Measurement
E. Measuring Geometric Objects

Patterns, Algebra, and Functions
A. Patterns
B. Functions and Relationships
C. Modeling
D. Procedures

Data Analysis, Probability, and Discrete Mathematics
A. Data Analysis (Statistics)
B. Probability
C. Discrete Mathematics—Systematic Listing and Counting
D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms

Mathematical Processes
A. Problem Solving
B. Communication
C. Connections
D. Reasoning
E. Representations
F. Technology

How to Use This Book and TestWare®
The best way to prepare for a test is to practice, and you’ll find that we’ve included drills with answers throughout the book, and that our two practice tests include detailed answers. You’ll find that our practice tests are very much like the actual ASK6 you’ll encounter on test day.

To make the most of your study time, we suggest that you take practice test 1 on CD-ROM to determine your strengths and weaknesses, and then study the course review material, focusing on your specific problem areas. The course review includes the information you need to know when taking the test. Make sure to follow up by taking practice test 2 on CD-ROM so you’re thoroughly familiar with the format and feel of the NJ ASK6 Mathematics test.

Test Accommodations and Special Situations
Every effort is made to provide a level playing field for students with disabilities who are taking the NJ ASK. Most students with educational disabilities and most students whose English language skills are limited take the standard NJ ASK. Students with disabilities will be working toward achieving the standards at whatever level is appropriate for them. Supports such as large-print type are available for students who have a current Individualized Education Program (IEP) or who have plans required under Section 504 or who use these supports and accommodations during other classroom testing.

If the IEP team decides that a student will not take the NJ ASK in Language Arts Literacy, Mathematics, and/or Science, the child will take the Alternate Proficiency Assessment (APA).