Here are 8 blocks, How many times must Nora go to bring these blocks to me if she brings just 2 blocks each time? Then 8 blocks divided by 2 blocks = 4 times. But if Nora divides the blocks into two equal parts, how many blocks will there be in each part? Then 8 blocks divided by 2 = 4 blocks. NOTE. The Teacher must illustrate in many ways the two different meanings of Division. When the divisor is a mere number, as 2, 3, 4, etc., the meaning of division then is the separation of the given number of things into 2, 3, 4, etc., equal parts, and the quotient will signify a number of things like the dividend. When the divisor is a number of things like the dividend, the quotient will signify the number of times the divisor is contained in the dividend; that is, the number of times the divisor can be taken from the dividend. How many times are 2 cents contained in 6 cents? 8 cents divided by 4 cents? Divide these eight dots thus, ../../../.. Into how many equal parts have you divided them? If a number of things is divided into four equal parts, each part is one-fourth of the number. How many dots in one-fourth of 8 dots? Find one-quarter of 4 dollars; of 8 cents. Which is greater, one-half of 8 cents or one-fourth of 8 cents? one-half of 8 cents or one-quarter of 8 cents? Which is greater, one-half of 8 cents or twofourths of 8 cents? one-half of 8 cents or threefourths of 8 cents? Here is a new way of writing one-half, thus, ; one-third, thus, ; one-fourth, thus, . We write two-thirds, thus, ; two-fourths, thus, ; three-quarters, thus, 4. Read:;; 3; 1; 1; 1; 4. Write in figures: one-half; one-third ; twothirds; one-fourth; three-quarters. If a melon is cut into four equal parts, what is one of the parts called? What are three of the parts called? How many quarters of a melon does it take to make a whole melon ? How many quarters of a melon does it take to make half of a melon? How many quarters of a dollar does it take to make a dollar? to make half of a dollar? How many quarters of a dollar does it take to make 2 dollars? How many quarters of a dollar does it take to make one dollar and a half? How many quarters of a dollar does it take to make one dollar and a quarter? If a pie is cut into quarters, and Mary, Tom, and Harry each have a quarter, how many quarters will be left for Alice? If half of a pie is cut into two equal parts, what part of the whole pie is each piece? What part of the whole pie are the two pieces together? How many fourths make one-half ? Which one of these measures is the smallest ? How many gills will the pint measure hold? * Then four gills make one pint. At 1 cent a gill, what will a pint of milk cost? At 2 cents a gill, what will a pint of syrup cost? How many gills in a half pint of water? How many pints will the quart measure hold?* Then two pints make one quart. At 4 cents a pint, what will a quart of milk cost? At 3 cents a pint, what will a quart of oil cost? At 6 cents a quart, what will a pint of berries cost? What part of a quart is 1 pint? How many gills make 1 quart ? How many quarts will the gallon measure hold ?* Then four quarts make one gallon. How many quart cans are needed for a gallon of milk? How many two-quart cans ? At 2 cents a quart, what will a gallon of skimmilk cost? What will a half-gallon cost? What part of a gallon is one quart? What part of a gallon are 2 quarts? are 3 quarts? At 8 cents a gallon, what will a quart of skimmilk cost? What will a pint cost? NOTE.* Let the pupil discover by trial the answer to this question. |