Florida FCAT Grade 10 Math (REA) : The Best Test Prep for the FCAT

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REA … Real review, Real practice, Real results.

 

Florida Grade 10 FCAT MATH Study Guide!

Fully aligned with the benchmarks in the Sunshine State Standards

 

Are you prepared to excel on this state high-stakes assessment exam? 

* Passing the exam is required to receive a high school diploma

* Find out what you know and what ...

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Overview

REA … Real review, Real practice, Real results.

 

Florida Grade 10 FCAT MATH Study Guide!

Fully aligned with the benchmarks in the Sunshine State Standards

 

Are you prepared to excel on this state high-stakes assessment exam? 

* Passing the exam is required to receive a high school diploma

* 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 Number Sense, Concepts, and Operations; Measurement; Geometry and Spatial Sense; Algebraic Thinking: and Data Analysis and Probability

* 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

  • ISBN-13: 9780738603230
  • Publisher: Research & Education Association
  • Publication date: 6/19/2007
  • Series: Test Preps
  • Pages: 250
  • Age range: 15 - 17 Years
  • Product dimensions: 8.40 (w) x 10.90 (h) x 0.70 (d)

Read an Excerpt

Passing the FCAT Mathematics Test

About This Book

This book will provide you with an accurate and complete representation of the FCAT Grade 10 Mathematics test. Inside this book you will find chapters providing instruction on the mathematics concepts tested on the FCAT. At the end of each chapter are practice questions and answer explanations. Two practice tests are provided, which are based on the official FCAT. The practice tests contain every type of question that you can expect to encounter on the FCAT. Following each test, you will find an answer key with detailed explanations designed to help you completely understand the test material.

About the Test

Who Takes These Tests, and What Are They Used For?

Students in Florida public schools in grades 3 through 10 must take the FCAT, which is the foundation of the statewide educational assessment and accountability program. It includes assessment in the following areas:

Writing for students in grades 4, 8, and 10

Reading and mathematics for students in grades 3 through 10

Science for students in grades 5, 8, and 11

FCAT Mathematics

The purpose of the FCAT is to gather information for parents, students, and teachers

about student mastery of skills and to provide the public with information (1) to better understand the “educational health” of students, and (2) to hold schools and districts accountable for progress.

Is There a Registration Fee?

No. Because all Florida public high school students are required to take the FCAT and pass the test in order to receive a high school diploma, no fee is required.

When and Where Is the Test Given?

The Mathematics portion of the FCAT is given each year in March. Since 1998, the FCAT has been administered in all public schools. The Grade 10 FCAT has now

become the high school graduation test.

Test Accommodations and Special Situations

Every effort is made to provide a level playing field for students with disabilities who are taking the FCAT and seeking a standard high school diploma. Accommodations are available for students in special education programs and students with limited proficiency in English. Check with your school for more information.

Additional Information and Support

Additional resources to help you prepare to take the FCAT can be found on the Florida Department of Education website at www.fldoe.org.

How to Use This Book

What Do I Study First?

Read each chapter and complete all of the problems within the chapter and at the end of  the chapter. Be sure to read the answer explanation. Review lessons for questions that you missed. When you feel that you have mastered the material, take the practice tests to become familiar with the format and procedures involved with taking the actual FCAT.

When Should I Start Studying?

It is never too early to start studying for the FCAT. 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, because it does now 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.

Overview of the FCAT

For Grade 10, the Mathematics portion of the FCAT consists of 45 to 50 multiple-choice

items, some of which are gridded-response items, and 5 to 7 performance tasks

(see “Item Types” for more information).

The Mathematics portion of the FCAT is based on five broad strands, which are broken

down into smaller standards called the Sunshine State Standards Benchmarks:

Strand A: Number Sense, Concepts, and Operations (17% of the test)

Strand B: Measurement (17% of the test)

Strand C: Geometry and Spatial Sense (25% of the test)

Strand D: Algebraic Thinking (25% of the test)

Strand E: Data Analysis and Probability (16% of the test)

Students are allowed to use a calculator on the FCAT Mathematics test.

Item Types

Multiple-choice items—Students choose the correct answer from four possible choices and mark the choice by filling in a bubble in the test booklet or answer document. Multiple-choice items require approximately one minute to answer and are each

worth one raw score point.

Gridded-response items—Students solve problems or answer questions requiring a numerical response and bubble or mark their numerical answers in response grids.

Answers may be gridded by using several correct formats. Students must accurately

fill in the bubbles below the grids to receive credit for their answers. Students are

provided with detailed instructions for filling in the bubbles in the FCAT Sample Test

Materials, which they receive before taking the actual test. Additional instructions

are also included in the front of the test booklet. Each gridded-response item requires

approximately one and a half minutes to answer and is worth one raw score point.

Performance Tasks—Short- and extended-response items—Students show their

solutions to problems. Each short-response task requires approximately five minutes

to complete and is worth a raw score of 0, 1, or 2 points. Extended-response tasks

require approximately 15 minutes to complete, and students may receive a raw score

of 0, 1, 2, 3, or 4 points for each item.

Sunshine State Standards Benchmarks

Strand A: Number Sense, Concepts, and Operations

MA.A.1.4.2 The student understands the relative size of integers, rational numbers, irrational numbers, and real numbers.

MA.A.1.4.4 The student understands that numbers can be represented in a variety of equivalent forms, including integers, fractions, decimals, percents, scientific

notation, exponents, radicals, absolute value, and logarithms.

MA.A.3.4.1 The student understands and explains the effects of addition, subtraction, multiplication, and division on real numbers, including square roots, exponents, and appropriate inverse relationships.

MA.A.3.4.2 The student selects and justifies alternative strategies, such as using properties of numbers, including inverse, identity, distributive, associative, transitive,

that allow operational shortcuts for computational procedures in real-world or

mathematical problems.

MA.A.3.4.3 The student adds, subtracts, multiplies, and divides real numbers, including square roots and exponents, using appropriate methods of computing, such as mental mathematics, paper and pencil, and calculator.

MA.A.4.4.1 The student uses estimation strategies in complex situations to predict results and to check the reasonableness of results.

MA.A.5.4.1 The student applies number relationships such as sequences and series to real-world problems.

Strand B: Measurement

MA.B.1.4.1 The student uses concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three- dimensional

shapes, including rectangular solids, cylinders, cones, and pyramids.

MA.B.1.4.2 The student uses concrete and graphic models to derive formulas for finding rate, distance, time, angle measures, and arc lengths.

MA.B.2.4.1 The student selects and uses direct (measured) or indirect (not measured) methods of measurement as appropriate.

MAB.2.4.2 The student solves real-world problems involving rated measures (miles per hour, feet per second).

Strand C: Geometry and Spatial Sense

MA.C.1.4.1 The student uses properties and relationships of geometric shapes to construct formal and informal proofs.

MA.C.3.4.1 The student analyzes and applies geometric relationships involving planar cross-sections.

MA.C.3.4.1 The student represents and applies geometric properties and relationships to solve real-world and mathematical problems including ratio, proportion, and properties of right-triangle trigonometry.

MA.C.1.4.1 The student uses properties and relationships of geometric shapes to construct formal and informal proofs.

Strand D: Algebraic Thinking

MA.D.1.4.1 The student describes, analyzes, and generalizes relationships, patterns, and functions using words, symbols, variables, tables, and graphs.

MA.D.1.4.2 The student determines the impact when changing parameters of given functions.

MA.D.2.4.2 The student uses expressions, equations, inequalities, graphs, and formulas to represent and interpret a situation.

Strand E: Data Analysis and Probability

MA.E.1.4.1 The student interprets data that has been collected, organized, and displayed in charts, tables, and plots.

MA.E.1.4.2 The student calculates measures of central tendency (mean, median, and mode) and dispersion (range, standard deviation, and variance) for complex sets of data and determines the most meaningful measure to describe the data.

MA.E.2.4.1 The student determines probabilities using counting procedures, tables, tree diagrams, and formulas for permutations and combinations.

MA.E.3.4.1 The student designs and performs real-world statistical experiments that involve more than one variable, then analyzes results and reports findings.

What to Do before the Test

Pay attention in class.

Carefully work through the chapters of this book. Mark any topics that you find difficult, so that you can focus on them while studying and get extra help if necessary.

Take the practice tests and become familiar with the format of the FCAT. 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 feel more confident, and this will boost your chances of doing well.

Students who have difficulty concentrating or taking tests in general may have severe test anxiety. Tell your parents, a teacher, a counselor, the school nurse, or a school psychologist well in advance of the test if this applies to you. They may be able to give you some useful strategies that will help you feel more relaxed and then be able to do your best on the test.

What to Do during the Test

Read all of the possible answers. Even if you think you have found the correct response, do not automatically assume that it is the best answer.

Read through each answer 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 have given yourself a better chance of getting the item correct, because there will only be two choices left from which to make your selection.

Sometimes a 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.

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 know, 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. The multiple- choice sections are graded by machine, so marking one wrong answer can throw off your answer key and your score. Be

extremely careful.

Work from answer choices. You can use a multiple-choice format to your advantage by working backward from the answer choices to solve a problem. This strategy can be helpful if you can just plug the answers into a given formula or equation. You may be able to make a better choice on a difficult problem if you eliminate choices that you know do not fit into the problem. If you can not determine what the correct answer is, answer

the question anyway. The FCAT does not subtract points for wrong answers, so be sure to fill in an answer for every question. It works to your advantage because you could guess correctly and increase your score.

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Table of Contents

TABLE OF CONTENTS

Introduction: Passing the FCAT Mathematics Test

About This Book

About the Test

How to Use This Book

Overview of the FCAT

Item Types

Sunshine State Standards Benchmark

Chapter 1: Number Sense, Concepts

and Operations, Part 1

Standards

Types of Numbers

Absolute Value

Equivalent Numbers

Let’s Review 1: Equivalent Numbers

Order of Operations

Analyzing Numbers

Let’s Review 2: Equivalent Expressions

Chapter 1 Practice Problems

Chapter 1 Answer Explanations

Chapter 2: Number Sense, Concepts

and Operations, Part 2

Standards

Estimation

Let’s Review 3: Estimation

Computing Money

Let’s Review 4: Computing Money

Chapter 2 Practice Problems

Chapter 2 Answer Explanation

Chapter 3: Data Analysis and Probability, Part 1

Standards

Probability

Let’s Review 5: Probability

Mean, Median, Mode and Range

Let’s Review 6: Mean, Median, Mode and Range

Chapter 3 Practice Problems

Chapter 3 Answer Explanations

Chapter 4: Data Analysis and Probability, Part 2

Standards

Line Graphs

Bar Graphs

Circle Graphs

Venn Diagrams

Let’s Review 7: Graphs

Scatter Plots

Box-and-Whisker Plots

Stem-and-Leaf Plots

Let’s Review 8: Plots

Chapter 4 Practice Problems

Chapter 4 Answer Explanations

Chapter 5: Measurement

Standards

Customary Units of Measurement

Metric Measures

Rated Measures

Let’s Review 9: Units of Measurement

Perimeter

Let’s Review 10: Perimeter of Shapes

Area

Volume

Surface Area

Let’s Review 11: Volume and Area

Chapter 5 Practice Problems

Chapter 5 Answer Explanations

Chapter 6: Geometry and Spatial Sense, Part 1

Standards

Congruent Figures

Similar Figures

Let’s Review 12: Congruent and Similar Figures

Lines and Angles

Angles

Angle Relationships

Let’s Review 13: Lines and Angles

Triangles

Pythagorean Theorem

Circles

Geometric Proofs

Let’s Review 14: Triangles

Chapter 6 Practice Problems

Chapter 6 Answer Explanations

Chapter 7: Geometry and Spatial Sense, Part 2

Standards

Transformations

Let’s Review 15: Transformations

The Coordinate Plane

Let’s Review 16: The Coordinate Plane

Slope

Planar Cross-Sections

Let’s Review 17: Slopes

Chapter 7 Practice Problems

Chapter 7 Answer Explanations

Chapter 8: Algebraic Thinking, Part 1

Standards 

Expressions

Equations

Inequalities

Let’s Review 18: Expressions

Chapter 8 Practice Problems

Chapter 8 Answer Explanation

Chapter 9: Algebraic Thinking, Part 2

Standards

Patterns

Changing Parameters

Let’s Review 19: Patterns

Let’s Review 20: Patterns

Chapter 9 Practice Problems

Chapter 9 Answer Explanations

Practice Test 1

Reference Sheets

Calculator Instructions

How to Complete the Response Grids

Taking the FCAT Mathematics Practice Test

How to Answer the “Think, Solve, Explain” Questions

FCAT Grade 10 Mathematics Answer Book

Answers Practice Test 1

Practice Test 2

Reference Sheets

Calculator Instructions

How to Complete the Response Grids

Taking the FCAT Mathematics Practice Test

How to Answer the “Think, Solve, Explain” Questions

FCAT Grade 10 Mathematics Answer Book

Answers Practice Test 2

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