_Tablet work._ Addition and subtraction of numbers up to one million. In the operations coin, measure, and weight denominations are used, and are illustrated by coins, measures, and weights. _Class III._ (Boys four hours, girls three hours, weekly.) Acquaintance with the numeral system up to and including millions. Continuous practice in reading, writing, and using numbers. _Mental operations._ Addition and subtraction of numbers up to one hundred continued. Thereafter extend the numbers as far as the children can use them with certainty and rapidity. Multiplication of numbers up to one hundred by units. _Tablet work._ More work in addition and subtraction going farther than to numbers with six ciphers. Multiplication of numbers with many ciphers by multipliers having one or more ciphers. _Second Division_ _Class IV._ (Boys four hours, girls three hours, weekly.) Division with divisors having one or more ciphers. Separation of numbers into their individual factors. Finding of the least common multiple. After this a thorough drill in the four arithmetical operations with whole numbers--old and new exercises. _Mental and tablet exercises_ in closest relation to each other. In all mental operations, here or later, rapid and positive use should be made of the easier examples before the harder ones are fumbled or handled with uncertainty. _Class V._ (Two hours weekly.) After the necessary preparation, practice in the three operations with decimal numbers. In connection with the consideration of plane surfaces the children should be given practice in measuring parallelograms, triangles, irregular quadrangles and many-sided surfaces--triangles should predominate. _Mental and tablet exercises_ parallel each other and are in intimate relation. _Third Division_ _Class VI._ (Three hours weekly.) Preparatory practice in common fractions together with addition and subtraction of fractions having a common denominator and others which can easily be reduced to a common denominator. Multiplication and division using or including fractions. Further development with mental operations growing out of and in connection with tablet work. _Class VII._ (Three hours weekly.) Percentage including interest, rebate, and discount. The calculating of cubes, prisms, pyramids, circles, cylinders, cones; also shortened pyramids, cones, and cylinders. After this a general review so far as time admits.