Diagnostic and Placement Tests - use for placement decisions and diagnostic assessment

Sep 30, 2026

This booklet provides four placement tests to support student course placement within Glencoe middle school and algebra programs, including Mathematics Courses 1–3, Pre-Algebra, and Algebra 1. It explains how to use multiple evidence sources alongside test results, clarifies that placement tests assess prerequisite mastery rather than general achievement, and describes how concepts align with the Glencoe Pathways for Success scope and sequence. Placement options, scoring interpretation, and diagnostic use instructions are organized for instructional and district planning.

LanguageEnglish

CategoryExam

FormatPDF

Pages63

Reading Time2 h 39 min

AccessFree to download

Using Glencoe’s Diagnostic and Placement Tests

Placement Decisions

Test Content

Course Offerings and District Philosophy

Placement Options

Placement Options (by current and next course)

GLENCOE MATHEMATICS Copyright © by The McGraw-Hill Companies, Inc. All rights reserved. Permission is granted to reproduce the material contained herein on the condition that such material be reproduced only for classroom use; be provided to students, teachers, and families without charge; and be used solely in conjunction with Glencoe products. Any other reproduction, for use or sale, is prohibited without prior written permission of the publisher. Send all inquiries to: Glencoe/McGraw-Hill 8787 Orion Place Columbus, OH 43240-4027 ISBN-10: 0-07-877321-0 Diagnostic and Placement Tests ISBN-13: 978-0-07-877321-1 Printed in the United States of America. 1 2 3 4 5 6 7 8 9 10 009 14 13 12 11 10 09 08 07 06 Contents Using Glencoe’s Diagnostic and Placement Tests .......................... 2 Placement Options ............................................. 4 When to Use the Placement Tests ................................... 5 Interpreting Scores ............................................. 8 Scoring Guide Masters ......................................... 10 Using Placement Tests for Diagnostic Purposes ......................... 15 Learning Objectives Masters ..................................... 16 Diagnostic Charts and Intervention Materials ................................ 20 Diagnostic and Placement Test Masters .............................. 28 Answer Keys ................................................ 54 © Glencoe/McGraw-Hill 1 Diagnostic and Placement Tests Using Glencoe’s Diagnostic and Placement Tests This booklet is designed to be used in two ways. • The four tests in this booklet provide tools for helping you make placement decisions within Glencoe’s middle school and algebra series: Mathematics, Course 1 Mathematics, Course 2 Mathematics, Course 3 Pre-Algebra Algebra 1 Algebra: Concepts and Applications or Algebra: Concepts and Applications, Volumes 1 and 2 The tests are keyed to Pathways for Success, which contains the Glencoe Mathematics Grades 6–12 Scope and Sequence and the Pathways Through the Series chart. • These tests also provide valuable diagnostic information. See pages 15–27 in this booklet for further information on using these tests as diagnostic tools. • These tests are also available in Spanish [at www.glencoe.com](at www.glencoe.com). Placement Decisions In making placement decisions for a student, consider a variety of evidence, such as the student’s mathematics grades, classroom observations, teacher recommendations, portfolios of student work, standardized test scores, and placement test scores. Use the results of these placement tests in conjunction with other assessments to determine which mathematics course best fits a student’s abilities and needs. Test Content These placement tests measure ability, but they are not achievement tests. They cover prerequisite concepts, not every concept found in a Glencoe mathematics textbook. As the Pathways for Success scope and sequence indicates, concepts are introduced, developed, and reinforced in consecutive courses. These placement tests measure student mastery of concepts and skills that have been introduced or developed in the student’s current mathematics course, that are further developed in the next course, but that are not developed in the following course. For example, in the Number strand, the concept of simplifying fractions, in Mathematics, Courses 1, 2, and 3. The concept is developed in Course 1 and further developed in Course 2, but it is only reinforced in Course 3. If students have mastered simplifying fractions, Course 3 might be appropriate for them, but if they have not, Course 2 would better meet their needs. © Glencoe/McGraw-Hill 2 Diagnostic and Placement Tests Some concepts are not included in these placement tests, because they are not critical to success in algebra; for example, combinations, probability, and triangle classification. Some algebra and p

FAQs

What are the four tests used for in this booklet?

The four tests help educators make placement decisions within Glencoe’s middle school and algebra series while also providing diagnostic information for instruction.

Do these placement tests measure achievement or ability?

They measure student ability and prerequisite concept mastery rather than achievement, and they do not cover every concept found in Glencoe textbooks.

How should placement test results be used?

Use results alongside other assessments and evidence such as grades, classroom observations, teacher recommendations, portfolios, standardized test scores, and placement test scores to determine the best-fitting mathematics course.

Sep 30, 2026

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