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    ED 227 288 CE 035 321

    AUTHOR Rice, Eric TITLE Basic Measurement. Apprentice Related Training

    Module. INSTITUTION Conserva, Inc., Raleigh, N.C. SPONS AGENCY Office of Vocational and Adult Education (ED),

    Washington, DC. PUB DATE 82 CONTRACT 300-80-0937 NOTE 45p.; For related documents, see CE 035 315-335. PUB TYPE Guides Classroom Use - Materials (For Learner)


    EDRS PRICE MF01/PCO2 Plus Postage. DESCRIPTORS *Apprenticeships; Career Education; Definitions;

    Equipment Utilization; *Measurement; *Measurement Equipment; *Measurement Techniques; Postsecondary Education; Pretests Posttests; *Weight (Mass)

    IDENTIFIERS Accuracy; Area (Geometry); Precision (Mathematics); *Volume (Mathematics)

    ABSTRACT One in a series of core instructional materials for

    apprentices to use during the first or second years of apprentice-related subjects training, this booklet deals with basic measurement. The first section consists of an outline of the content and scope of the core materials as well as a self-assessment pretest. Covered in the four instructional chapters included in the booklet are units and tools of measurement, surface measurement, volume and weight measurement, and accuracy and precision. Each chapter contains an overview; an introduction and objectives; principles, examples, and applications; additional information; and self-test exercises. Appended to the booklet are answers to the self-assessment pretest, answers to the self-test exercises, a posttest, and answers to the posttest. (MN)

    *********************************************************************** * Reproductions supplied by EDRS are the best that can be made *

    * from the original document. *


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    Apprentice Related Training Module

    Eric Rice

    1982 CONSERVA, Inc.

    Raleigh, North Carolina



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    Contract No. 300800937

    Department of Education Office of Vocational and Adult Education

    DISCRIMINATION PROHIBITEDno person in the United States shall, on the ground of race, color, or national origin, be excluded from par- ticipation in, be denied the benefits of or be subjected to discrimination under any program or activity receiving Federal financial assistance, or be so treated on the basis of sex under most education programs or activities receiving Federal assistance.

    The activity which is the subject of this report was supported in whole or in part by the U.S. Department of Education. However, the opinions expressed herein do not necessarily reflect the position or policy of the Department of Education, and no official endorsement by the Depart- ment of Education should be inferred.

  • Table of Contents

    Glossary iii

    1. How To Use The Booklet What Is This Series About? 1 What Is This Booklet About? 1 What Must I Do To Complete My Work In This Booklet? 2 How Much Do I Know About The Subject As I Begin? 3

    2. Units and Tools of Measurement Chapter Overview 5 Introduction and Objectives 5 PrinCiples, Examples and Applications 6 Additional Information . 15 Self-Test Exercises 15

    3: Surface Measurement Chapter Overview 16 Introduction and Objectives 16 Additional Information 25 Self-Test Exercises 25

    4. Volume and Weight Measurement Chapter Overview 27 Introduction and Objectives 27 Principles. Examples and Applications 28 Additional Information 31 Self-Test Exercises 32

    5. Accuracy and Precision Chapter Overview 33 Introduction and Objectives 33 Principles, Examples and Applications 34 Additional Information 35 Self-Test Exercises 35

    6. Appendix Answers to Self-Assessment Pretest 36 Answers to Self-Test Exercises 36 Post-Test 37

  • Glossary

    The words on this list are used in this booklet. Please review the terms and learn the definitions. The meaning of the words in the text may not be the form of the word with which you are familiar.


    1. Accuracy Without error 2. Approximate To estimate to a close degree 3. Calculate To determine by computation or mathematic means 4. Converse Reversed so that two parts are interchanged 5. Conversion A process of changing from one form to another 6. Cubic Having dimensions of length, width and height 7 . Dilute To reduce the strength or concentration of something 8. Dimension Any measurable extent 9. Equivalence Equal in value, meaning, force or effect

    10. Formula An exact method, prescription or recipe for doing something 11. Heaped bushel A dry volume measure used for fruits like apples that fill above die rim 12. Intersect To cross or meet 13. Magnitude An amount. size or extent 14. Medium of exchange A system of equivalent amounts 15. Notation A system of signs or abbreviations that stand for certain units or quantities 16. Precision Exact in amount 17. Proportion Relative magnitude of two things to each other or a part of the whole 18. Quantify To make into a specified or indefinite number, amount or weight 19. Scale A system of spaced graduations for measurement; the instrument for

    measurement 20. Standardize To compare with an established measure of extent. value or quantity 21. Struck bushel A dry volume measure used for grains that means full exactly to the rim

  • 1 . How To Use This Booklet What Is This Series About?

    Basic Measurement is one of ten booklets written as core instructional materials for appren- tices to use during the first or second years of apprenticeship related subjects training. Nine of the booklets are about critical subject areas for apprentices, as determined 'ay a national group of experts on apprenticeship and training. The tenth booklet introduces the other booklets and explains how to use the materials in the instructional setting.

    The materials are designed to be used with other related subjects,instructional materials. They can be employed in one of two ways: (1) the materials can be used as the total instructional materials package for some trades, in subjects such as basic science, measurement, and working in organizations, or (2) they can be used as supplementary, introductory or practice materials in subjects such as basic mathematics, safety and an introduction to apprenticeship.

    The booklets are written in a self-instructional, self-paced format. They can be used either in instructor supervised or independent study arrangements. Each booklet and each chapter is written as a distinct unit and is addressed to a single major topic. This means that you or your instructor can select individual booklets or chapters without necessarily using every booklet or every chapter within a booklet.

    The booklets emphasize application of facts, concepts and skills. Material is presented by means of written information, visual illustration and applied example. The discussion for most major topics also includes an application section that requires you as a learner to demonstrate what you are learning. In addition, each chapter contains a section entitled Self-Test Exercises that contains questions, problems and exercises for you to work through as a final application of the knowledge or skill and to show that you have mastered the materials.

    The titles of the booklets in the core materials are:

    1. A Basic Core Curriculum 2. Introduction to Apprenticeship 3. Basic Mathematics 4. Basic Safety I 5. Basic Safety II 6. Basic Measurement 7. Sketching, Drawing and Blueprint Reading 8. Basic Physical Science 9. Working in Organizations

    10. Interpersonal Skills and Communication

    What Is This Booklet About?

    Imagine a world in which there was no standard way to measure or estimate quantities. You would not be able to determine the weight of an object before trying to lift it. You would not be able to mass produce a machine with interchangeable parts because there would be no standard size for


  • 2 Basic Measurement

    the parts. You would not be able to build a house because you would not be able to calculate how much building material would be needed and you would not be able to communicate to someone else exactly how much material would be required. Work activity would stop, and advancing technology and productivity would be impossible. To insure that these problems do not happen. successful eraftworkers and tradespersons must command measurement skills particular to their chosen occupations.

    There are five basic characteristics of the physical world: (1) space, (2) mass, (3) energy, (4) time, and (5) temperature. While difficult to define in words. each of these characteristics can be expressed as a magnitude. Magnitude means amount or quantity and is determined by measure- ment. There is a separate category of measurement for each of the flve basic physical characteristics: (1) spacelength, area and volume; (2) massweight; (3) energywork; (4) time hours/minutes/ seconds, and (5) temperaturedegrees. This booklet is about measuring space and mass because these characteristics are of greatest concern in most apprenticable trades and occupations. Specific topics covered in this booklet are:

    1. Units and Tools of Measurement 2.


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