I. State how much you would use of each material in the following recipes: (_a_) To make double the quantity. (_b_) To make half the quantity. (_c_) To make 1-1/2 times the quantity. You may use pencil and paper when you cannot find the right amount mentally. 1. PEANUT PENUCHE 1 tablespoon butter 2 cups brown sugar 1/3 cup milk or cream 3/4 cup chopped peanuts 1/3 teaspoon salt 2. MOLASSES CANDY 1/2 cup butter 2 cups sugar 1 cup molasses 1-1/2 cups boiling water 3. RAISIN OPERA CARAMELS 2 cups light brown sugar 7/8 cup thin cream 1/2 cup raisins 4. WALNUT MOLASSES SQUARES 2 tablespoons butter 1 cup molasses 1/3 cup sugar 1/2 cup walnut meats 5. RECEPTION ROLLS 1 cup scalded milk 1-1/2 tablespoons sugar 1 teaspoon salt 1/4 cup lard 1 yeast cake 1/4 cup lukewarm water White of 1 egg 3-1/2 cups flour 6. GRAHAM RAISED LOAF 2 cups milk 6 tablespoons molasses 1-1/2 teaspoons salt 1/3 yeast cake 1/4 cup lukewarm water 2 cups sifted Graham flour 1/2 cup Graham bran 3/4 cup flour (to knead) II. How much would you use of each material in the following recipes: (_a_) To make 2/3 as large a quantity? (_b_) To make 1-1/3 times as much? (_c_) To make 2-1/2 times as much? 1. ENGLISH DUMPLINGS 1/2 pound beef suet 1-1/4 cups flour 3 teaspoons baking powder 1 teaspoon salt 1/2 teaspoon pepper 1 teaspoon minced parsley 1/2 cup cold water 2. WHITE MOUNTAIN ANGEL CAKE 1-1/2 cups egg whites 1-1/2 cups sugar 1 teaspoon cream of tartar 1 cup bread flour 1/4 teaspoon salt 1 teaspoon vanilla In many cases arithmetical facts and principles can be well taught in connection with some problem or project which is not arithmetical, but which has special potency to arouse an intellectual activity in the pupil which by some ingenuity can be directed to arithmetical learning. Playing store is the most fundamental case. Planning for a party, seeing who wins a game of bean bag, understanding the calendar for a month, selecting Christmas presents, planning a picnic, arranging a garden, the clock, the watch with second hand, and drawing very simple maps are situations suggesting problems which may bring a living purpose into arithmetical learning in grade 2. These are all available under ordinary conditions of class instruction. A sample of such problems for a higher grade (6) is shown below. Estimating Areas