TO TEACHERS. If any teacher prefers the common method of arrangement and classification, the simple rules can be taken together first, and directions are given in the work for this purpose. It is very desirable that new beginners should review the first part, till it is very thoroughly understood. It will save much trouble to both teacher and pupil. It will be found advantageous, to require older pupils to study the first part, previous to commencing the second; for though some of the exercises are very simple, there are some important explanations and illustrations, not found in the second part. It is very desirable that pupils should become thorough and expert in numeration, especially in decimal numeration, before taking the next lessons, and one or two reviews are recommended previous to proceeding. If the pupil has never practised simple division, omit those exercises which require this rule, till a review. They will be found in smaller type, as are some other exercises, which though they do not demand a knowledge of the rule of division, are too difficult for young pupils. The second part should be reviewed, before commencing the third part. If any teachers have a preference for the common method of classification, it is very easy to direct the pupils to learn the simple rules first. But every pupil will find it advantageous at least to review on the plan of arrangement adopted in this work. When young beginners take the second part, it is recommended, that they take the easiest exercises, and reserve the more difficult, till a review. INDEX. ARITHMETICAL TABLES. Addition Table, Subtraction Table, Multiplication Table, Division Table, Table of Weights and Measures, Table of Foreign Coins in Federal Money, Tabe of Scripture Weights, Measures, and Coins, ARITHMETIC.-PART FIRST. Addition, Subtraction, Multiplication, Page. 11 11 12 13 14 17 18 23 25 26 Division, Reduction, 30 35 PART SECOND. Division of Vulgar Fractions, Reduction Ascending and Descending, Reduction of Fractions to Whole Numbers, Reduction of Whole Numbers to Fractions, Reduction of Vulgar to Decimal Fractions, Reduction of Fractions to a Common Denominator, Reduction of Fractions to the lowest Terms, Reduction of Fractions from one order to another Reduction of Fractions of one order, to Units of another order, Reduction of Units of one order to Fractions of another order 139 149 of a Parallelogram, Ex. 72-74. To find the Solid Contents of a Cube, Ex. 77--79. To find the Circumference, Diameter and Area of a Circle, 80-84. |