NJ ASK Grade 6 Mathematics (REA)

by Flanders, Steven T.

• ISBN13: 9780738605265
• ISBN10: 0738605263
• Format: Paperback
• Copyright: 2009-11-17
• Publisher: Research & Education Assn

Summary

REA'sReady, Set, Go!NJ ASK 6 Test Prep 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 edition 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 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.

 

 

Table of Contents

About Research & Education Association

Acknowledgments

About the Authors

Introduction

About This Book

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

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

Answer Key

Detailed Explanations of Answers

Answer Key

Detailed Explanations of Answers

Answers Sheets

Mathematics Manipulatives Sheet

Table of Contents provided by Publisher. All Rights Reserved.

Excerpts

Introduction
About This Book
This book provides excellent preparation for the New Jersey ASK6 Mathematics test. Inside, you will find lessons, drills, strategies, and practice tests—all with a singleminded focus: success on the NJ ASK6, an acronym that stands for Assessment of Skills and Knowledge. 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
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 to determine your strengths and weaknesses, and then study the course review material, focusing on your specifi c 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 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).