LB1589
W27

COPYRIGHT, 1895,

BY JOHN H. WALSH,

Norwood Press :

J. S. Cushing & Co. - Berwick & Smith.
Boston, Mass., U.S.A.

CONTENTS

(HIGHER ARITHMETIC MANUAL.)

I

INTRODUCTORY

Plan and scope of the work-Grammar school algebra - Con-

structive geometry.

GENERAL HINTS

II

Division of the work-Additions and omissions - Oral and

written work-Use of books - Conduct of the recitation - Drills
and sight work Definitions, principles, and rules — Language
Analysis — Objective illustrations - Approximate answers-
Indicating operations - Paper vs. slates.

PAGE

5

90257

DEFINITIONS, PRINCIPLES, AND RULES .

General definitions - Additions - Subtraction - Multiplication

– Division — Factoring - Cancellation - Greatest common divi-
sor- Least common multiple- Fractions - Decimals - Accounts
and bills Denominate numbers. Percentage-Profit and loss
Commercial discount. Commission - Insurance - Taxes

-

-

-

Duties Interest Partial payments Bank discount — Ex-

change-Equation of payments - Ratio — Proportion — Partner-

ship Involution - Evolution Stocks and bonds

drafts, and checks.

ANSWERS

-

-

Notes,

i

. 1

Plan and Scope of the Work. In addition to the subjects generally included in the ordinary text-books in arithmetic, Mathematics for Common Schools contains such simple work in algebraic equations and constructive geometry as can be studied to advantage by pupils of the elementary schools.

The arithmetical portion is divided into thirteen chapters, each of which, except the first, contains the work of a term of five months. The following extracts from the table of contents will show the arrangement of topics:

FIRST AND SECOND YEARS

Chapter I.-Numbers of Three Figures. Addition and Subtraction.

THIRD YEAR

Chapters II and III. - Numbers of Five Figures. Multipliers and Divisors of One Figure. Addition and Subtraction of Halves, of Fourths, of Thirds. Multiplication by Mixed Numbers. Pint, Quart, and Gallon; Ounce and Pound. Roman Notation.

FOURTH YEAR

Chapters IV. and V. - Numbers of Six Figures. Multipliers and Divisors of Two or More Figures. Addition and Subtraction of Easy Fractions. Multiplication by Mixed Numbers. Simple Denominate Numbers. Roman Notation.

FIFTH YEAR

Chapters VI. and VII. — Fractions. Decimals of Three Places. Bills. Denominate Numbers. Simple Measurements.

SIXTH YEAR

Chapters VIII. and IX. - Decimals. Bills. Denominate Numbers. Surfaces and Volumes. Percentage and Interest.

SEVENTH YEAR

Chapters XI. and XII. - Percentage and Interest.

Commercial

Surfaces and

and Bank Discount. Cause and Effect. Partnership. Bonds

and Stocks. Exchange. Longitude and Time.

Volumes.

EIGHTH YEAR

Chapters XIII. and XIV. Partial Payments.

Equation of

Payments. Annual Interest. Metric System. Evolution and