Mathematics, Grade 4, Grade 5, Scope and Sequence. New ...

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Mathematics, Grade 4, Grade 5, Scope and Sequence. New York City Board of Education, Brooklyn, N.Y. Bureau of Curriculum Development.

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53p.

Board of Education of the city of New York, Publications Sales Office, 110 Livingsto'l St., Brooklyn, N.Y. 11201 ($1.50, Payable to the Auditcr, Board of Education)

Enns PRICE DESCRIPTORS

IDENTIFIERS

EDRS Price MF-$0.25 HC Not Available from EDRS. *Curriculum Deve1 i4ment, *Curriculum Guides, *Elementary School Mathematics, Grade 4, Grade 5, *Instructional Materials, Mathematics New York, New York City

ABSTRACT Presented is the scope and sequence of mathematics

for Grades 4 and 5. It is based cn the program which is introduced in prekindergarten through Grade 3 and is designed to extend and strengthen the computational skills and mathematical understanding of children. The units described are organized around four main themessets, number, and numeration' operations; geometry and measurement; and algebraic concepts, graphs, probability, and statistics. (FL)

MATHEMATICS

Grade 4 Grade 5

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BUREAU or CURHICtILUM DEVELOPMENT k

BOARD or EDUCATION or THE CITY or NEW YORK

New fork City public. schools should order additional copies of this publkation from the Bureau of Supplies. Curriculum Pub licat:oeu List No. 00 6(X420.

Copies of this publication may be purchased by o,xskle agencies from: Board of Education of the City of New Val, Public-micas Saks Office, 110 ficktimton Street, Prootlys, N.V. 11201. Mete should be made payabk to: Auditor, Board of Education. Prk*: $1.50

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CURRICULUM BULLETIN 1969-70 SERIES NO. 8

MATHEMATICS

Grade 4 Grade 5

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BUREAU OF CURRICULUM DEVELOPMENT BOARD OF EDUCATION OF THE CITY OF NEW YORK

BOARD OF EDUCATION

JOSEPH MONSERRAT, President MURRY BEROTRAUM, Vice-President

SEYNtOUR P. LACHMAN MARY E. MEADE

IsmAD E. ROBINSON, JR.

Superintendent 01 Schools (Acting) NATHAN BROWN

Deputy Superintendents 01 Schools

HARVEY K. ALLEN

BUSINt SS AND ADMINISTRA1 /ON ( ACTING)

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THEODORE H. LANG

PFASONNI I

SELLIO LESTER

INSTRUCTIONAL SERVICES

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Cots-atom 1969 By Tut BO 'RD Gr FoucAtto.N OF Int ClIs OP NEW You:

Apr4ication tot petmktion to itiNifit any StC1i041 of this material should be made to the Superintendent of Schools, 110 Livinytton Sued, Brookbn. N.Y. 11201. Reprint of any section of this material shall carry the line, "Reprinted from (title of publication) by permission of the Bond of Education of the City of New York."

FOREWORD

This pubkation is designed to extend and strengthen the computational skills and mathematical understandings of children in Grades 4 and S. ft presents an overall scope and detailed sequence for implementation by teachers and supervisors, based on the modern program already introduced in Prekindergarten through tirade 3. Teaching manuals arc now being prepared to assist teachers to translate scope and sequence into specific learning activities for children.

The bulletin has been jointly developed by staff members of the Bureau of Curriculum Development and the Bureau of Mathematics. We express appreciation to them for this contribution to relevancy in mathematics instruction.

Deputy Superintendent of Schools

SEELIG LISTER

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CONTENTS

Introduction Mathematical Coals for Grade 4 Scope and Sequence: Grade 4 Mathematical Coals for Grade 5 Scope and Sequence: Grade 5

Page

1 3 21 23

INTROUnTION

The scope and sequence for pathematics! Grade 4 and for Mathematics: 21141.1 is presented in the form of units, each of which may require one or more lessons.

The units are organized around four central themes. These themes are coded as shown below:

* Sets; Number; Numeration

H Operations

*** Geometry and Measurement **** Algebraic Concepts; Graphs; Probability; Statistics

The sequence is structured to provide a spiral or cyclic approach for presentation of the concepts and skills.

The teacher should make provision for review, reinforcement, practice, and evaluation to meet the particular needs of the class.

Units or parte of units marked 0 are optional units and may be used at the discretion of the teacher.

The preparation of this bulletin was under the general direction of Seelig Lester, Deputy Superintendent, Office of Instructional Services; David A. koramson, Acting Director, Bureau of Curriculum Development; and George Grossman, Director, Bureau of Mathematics.

Leonard Simon, Acting Assistant Director, Bureau of Curriculum Development, supervised the project and reviewed the materials.

This material was prepared by Alice D. Lombardi and Bertha O. Weiss, Bureau of Curriculum Development. Charles J. Goode assisted it various stages of the planning and preparation.

Grateful acknowledgment is made to the following who cooperated in evaluating the materials:

Acting Assistant Directors, Bureau of Mathematics: Blanche Gladstone, Frank J. Wohifort

Mathematics District Coordinators: Sara P. Davis, Evelyn Farmer, Louise Gemake, Deris Hadler, Eva Pollack, Matthew Scaffa

Teachers: X. Bryant, Norman Nachbar, Mildred Trebach, Jack Winters

Appreciation is expressed to Frances koskowits, Bureau of Curriculum D6velopment, for her assistance in processing the materials.

Edythe Kahn, Editor, Bureau of Curriculum Development, had overall responsibility for design and production. Simon Shulman designed the cover.

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