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HALL'S MATHEMATICAL SERIES

A

COMPLETE ARITHMETIC

ORAL AND WRITTEN

BY

FRANK H. HALL
AUTHOR OF "THE WERNER ARITHMETICS,'' THE ARITHMETIC READERS," ETC.

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HALL’S MATHEMATICAL SERIES

THE WERNER ARITHMETICS

A Three-Book Course for Graded Schools
Book I. For third and fourth grades, cloth, 256 pages, 400.
Book II. For fifth and sixth grades, cloth, 288

pages, 40C.
Book III. For seventh and eighth grades, cloth, 288 pages, 50c.

TEACHERS' HAND BOOK

giving oral work preparatory for Book I, suggestions to teach-
ers who are using the Werner Arithmetics, answers to problems
in Books II and III, and a large amount of supplementary seat-
work. Cloth, 131 pages, 25C.

THE HALL ARITHMETICS

A Two-Book Course for Graded or Ungraded Schools
Hall's Elementary Arithmetic, cloth, 248 pages,

35C.
Hall's Complete Arithmetic, cloth, 448 page»,

бос.

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PREFATORY NOTE.

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In Part I. of this book (pp. 11-149), classification is made subordinate to gradation. Every problem is selected, not with reference to the place it occupies in a scientific classification of mathematical topics, but rather with reference to the supposed thought-power of the pupil. But systematic arrangement of the matter presented is not ignored. Seven topics are treated. These appear on the first ten pages of the book, and each topic is re-presented in each ten-page group. Compare pages 15, 25, 35, 45, etc.; pages 17, 27, 37, 47, etc.

In Part II. (pp. 151–369), as in Part I., each page is a unit of the greater ten-page unit. The first six pages of every ten-page group are devoted to some general topic. Upon the seventh and eighth pages the algebraic phase of this topic appears; upon the ninth, elementary work in geometry, and upon the tenth, miscellaneous problems. This arrangement makes the book convenient for reference and review, and, it is believed, will greatly aid the pupil in properly correlating his own mathematical knowledge.

In Part III. (pp. 371–442), the matter is arranged under four general heads, viz.: Denominate Numbers, Short Methods in Multiplication and Division, Practical Approximations, and Miscellaneous Problems. With the denominate number tables, many practical problems in measurements are presented. The “short methods” are, for pedagogical reasons, placed near the close of the book. The miscellaneous problems include many typical sets of “examination questions” supplied to the author for this use. Altogether, Part III. provides for a complete and thorough application of the principles presented in Parts I. and II.

F. H. H. JACKSONVILLE, ILLINOIS, March, 1899.

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CONTENTS - PART I.

“THE FOUNDATION,"
SUGGESTIONS TO TEACHERS,
SIMPLE NUMBERS,
COMMON FRACTIONS,
DECIMALS,
DENOMINATE NUMBERS,
MEASUREMENTS,
RATIO AND PROPORTION,
PERCENTAGE,
PERCENTAGE,
REVIEW PROBLEMS,
MISCELLANEOUS PROBLEMS,

PAGES
5-9

10
11, 21, 31, 41, 51, 61, etc.
12, 22, 32, 42, 52, 62, etc.
13, 23, 33, 43, 53, 63, etc.
14, 24, 34, 44, 54, 64, etc.
15, 25, 35, 45, 55, 65, etc.
16, 26, 36, 46, 56, 66, etc.
17, 27, 37, 47, 57, 67, etc.
18, 28, 38, 48, 58, 68, etc.
19, 29, 39, 49, 59, 69, etc.
20, 30, 40, 50, 60, 70, etc

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THE FOUNDATION.

*

64 x 2

*

TO THE PUPIL.—Read each problem and (a) tell its meaning, (b) solve it, and (c) tell the suggested number story. Do this until you can easily give the meaning of all problems similar to these, solve them, and tell the suggested number stories without reference to the notes that follow.

6¢ + 24 = * 6¢ – 20
+1= (1) -} = (2) bu. X 7= (3)
6 +5} = (6) 64 – 5} = (7) 124 x = (8)
2 bu. 3 pk. 5 bu. 1 pk. $* XL = (13)
2 bu. 2 pk.

1 bu. 3 pk. 120 x 2 = (16)
(11)

(12)

12 X 3 = (19) 124 x 2 = (22)

64 = 20 =
4• j = (1)
8: 8 = (9)
7} = 2} = (14)
2 ft.)46 ft. (17)
2} ft.)15 ft. (20)
24 bu.)13} bu.

(23)

66 = 2=
1 bu. • 4 = (5)
6 yd. = 2 = (10)
53 tons - 2 = (15)

2)46 ft.

(18)
3)27; ft.

(21)

=

1. j plus , means, j and 4. I can change thirds and fourths to twelfths; g

twelfths; i = twelfths; twelfths and twelfths

twelfths. Story--Harry played ball i of an hour, and hide and seek4 of an hour; in ali he played twelfths of an hour. (See First Book, pages 125, 135, 145, 147, 149.)

2. f minus 3, means, & less j. I can change fourths and thirds to twelfths. twelfths; }

twelfths; twelfths less * See Elementary Arithmetic, pp. 89 and 153.

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