# The Official Study Guide

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1 The Praxis Series ebooks The Official Study Guide Middle School Mathematics Test Code: 5169 Study Topics Practice Questions Directly from the Test Makers Test-Taking Strategies

2 Study Guide for the Middle School Mathematics Test A PUBLICATION OF ETS

3 Copyright 2014 by Educational Testing Service. EDUCATIONAL TESTING SERVICE, ETS, the ETS logo, LISTENING. LEARNING. LEADING., and GRE are registered trademarks of Educational Testing Service. SAT is a registered trademark of the College Entrance Examination Board. THE PRAXIS SERIES is a trademark of Educational Testing Service.

5 TABLE OF CONTENTS Chapter 1 Introduction to the Middle School Mathematics Test and Suggestions for Using This Study Guide Chapter 2 Background Information on The Praxis Series Subject Assessments Chapter 3 Don t be Defeated by Selected-Response and Numeric-Entry Questions Chapter 4 Preparing for the Middle School Mathematics Test Chapter 5 Practice Questions Chapter 6 Right Answers and Explanations Chapter 7 Are You Ready? Last-Minute Tips Appendix A Study Plan Sheet Appendix B For More Information... 67

6 Chapter 1 Introduction to the Middle School Mathematics Test and Suggestions for Using This Study Guide

7 CHAPTER 1 Introduction to the Middle School Tests and Suggestions for Using This Study Guide The Praxis Middle School tests assess beginning teachers understanding of the essential knowledge required for a beginning teacher at the middle school level. Four of the tests focus on a different content area: English Language Arts, Mathematics, Social Studies, and Science. A fifth test covers all four content areas. In developing assessment material for these tests, ETS works in collaboration with teacher educators, higher education content specialists, and accomplished practicing teachers to keep the test updated and representative of current standards. The Middle School Mathematics test (5169) consists of 55 selected-response and numeric-entry questions, and covers 5 major areas, in the following proportions. Content Category Approximate Number of Questions Approximate Percentage of Examination I. Arithmetic and Algebra 34 62% A. Number and Operations 12 22% B. Algebra 12 22% C. Functions and Their Graphs 10 18% II. Geometry and Data 21 38% A. Geometry and Measurement; 11 20% B. Probability, Statistics and Discrete Mathematics 10 18% Test takers have 120 minutes to complete the test, which is given on computer. An on-screen graphing calculator is provided. 2 Study Guide for the Middle School Mathematics Test

10 CHAPTER 1 Whether you decide to study alone or with a group, remember that the best way to prepare is to have an organized plan. The plan should set goals based on specific topics and skills that you need to learn, and it should commit you to a realistic set of deadlines for meeting these goals. Then you need to discipline yourself to stick with your plan and accomplish your goals on schedule. Study Guide for the Middle School Mathematics Test 5

11 Chapter 2 Background Information on The Praxis Series Subject Assessments

14 CHAPTER 2 When your state adopted The Praxis Series assessments it uses, panels of practicing teachers and teacher educators in each subject area met to examine the tests question by question to evaluate each question for its relevance to beginning teachers in your state and to recommend a passing score. This is called a standard setting study. A test is considered valid for a job if it measures what people must know and be able to do on that job. For the test to be adopted in your state, teachers in your state must judge that it is valid. Study Guide for the Middle School Mathematics Test 9

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