DIVISION.-Measuring by a part. Does 4 contain its parts? Does it contain 1, 1, 1, and 1? How many times does it contain 1? How many times can 1 gill be taken from 4 gills? How many times, then, do 4 gills contain 1 gill? Does 4 contain the parts 2 and 2? How many times, then, does it contain 2? Are 4 gills the same as 2 gills and 2 gills? How many times, then, do 4 gills contain 2 gills? How many boxes shall I need so that I may put 4 marbles in them and have 2 marbles in each box? Copy and read: 41-4; 4÷2=2; 4÷4=1. OBJECT EXERCISES. Take 4 blocks, put them on a table, and call them birds. Now divide or separate the birds into two parts, every way you can, calling the results thus: 1 bird and 3 birds are 4 birds, etc. Now take off a bird at a time, calling the results thus: 1 bird from 4 birds leaves 3 birds: 2 birds from 4 birds leave 2 birds, etc. Now put the birds back, one at a time, calling the results thus: 1 time 1 bird is 1 bird; 2 times 1 bird are 2 birds, etc. Next, take the birds off, one at a time, calling the results thus: 1 bird contains 1 bird 1 time; 2 birds contain 1 bird 2 times, etc. Next, put the birds back, two at a time, calling the results thus: 1 time 2 birds is 2 birds; 2 times 2 birds are 4 birds. Now take the birds off, two at a time, calling the results thus: 2 birds contain 2 birds 1 time; 4 birds contain 2 birds 2 times. What lesson is this? What is it about? Have you 5 fingers on one hand? separate them as they are here pictured? Take 5 rocks and separate them as the blocks are. Which are the first two parts of 5 blocks? The second? The third? The fourth? Are 2 blocks and 3 blocks the same as 3 blocks and 2 blocks? Are Can you take 5 blocks and 1 block and 4 blocks the same as 4 blocks and 1 block? What are the two parts of 5? Ans. 1 and 4, 2 and 3. Count 5. ADDITION. - Uniting the parts. How many are 1 block and 4 blocks? 2 horses and 3 horses? 3 men and 2 men? 1 cow and 4 cows? N. I.-2. What are the two parts of 5? Do they make 5 when united? How many is 1 more than 4? Two more than 3? Some boys are in a class; if 3 boys are a part of the class, and 2 boys are the other part, how many boys are in the class? If 4 mules and 1 mule are the two parts of a team, how many are in the team? How many are 3 girls and 2 girls? 4 girls and 1 girl? 2 apples and 3 apples? 1 a and 4 a's? Copy and read: 4+1=5; 3 + 2 = 5; 2 + 3 = 5; 1+ 4 = 5. SUBTRACTION.-Taking away one part. Count 5 backward. 5 blocks are together; if 1 block is removed, how many blocks will be left? How many are 1 block from 5 blocks? 2 horses from 5 horses? 3 men from 5 men? 4 cows from 5 cows? What are the two parts of 5? taken from 5, is the other left? When one of them is How many are 1 less than 5? 2 less than 5? 3 less than 5? etc. If 3 chicks are one part of a brood of 5 chicks, how many chicks are in the other part? 2 cats are a part of 5 cats; what is the other part? Copy and read: 514; 5 — 2 = 3; 5 — 3 = 2; 541; 5-5=0. MULTIPLICATION.-Uniting equal parts. How many are 1, 1, 1, 1, and 1? How many times is the part 1 taken? How many, then, are 5 times 1? How many are 5 times 1 block? Hold up 5 fingers. Now hold up 5 times 1 finger. Thomas has 5 dollars, and Henry has 5 times 1 dollar; which boy has the more? Are 2 cents and 3 cents the same as 5 times 1 cent? What does O stand for? Are 5 nothings any more than 1 nothing? How many, then, are 5 times 0? Copy and read: 5×1=5; 5×0=0. DIVISION.-Measuring by a part. Does 5 contain its parts? Is 5 formed of 5 ones? How many times, then, does it contain 1? Make 5 a's. Now erase 1 a at a time until all are gone; how many times did you erase? How many times, then, do 5 a's contain 1 a? Five gallons of water are in a tub; if each horse drinks a gallon, how many horses will drink it all? How many times, then, is 1 gallon contained in 5 gallons? 5÷ Copy and read: 51-5; 5÷5=1. OBJECT EXERCISES. Take 5 blocks, put them on a table, and call them hats. Now separate the hats into two parts every way you can, calling the results thus: 1 hat and 4 hats are 5 hats, etc. Now take off 1 hat at a time, calling the results thus: 1 hat from 5 hats leaves 4 hats; 2 hats from 5 hats leave 3 hats, etc. Now put back 1 hat at a time, calling the results thus: 1 time 1 hat is 1 hat; 2 times 1 hat are 2 hats, etc. Next take off 1 hat at a time, calling the results thus: 1 hat contains 1 hat 1 time; 2 hats contain 1 hat 2 times, etc. What are the two parts of 2? 3? 4? 5? How many are 2 boys and 1 boy? 1 boy and 2 boys? How many are 1 peach and 3 peaches? 2 flies and 2 flies? How many are 3 men and 2 men? 1 mule and 4 mules? How many are left when 1 girl is taken from 2 girls? When 2 men are taken from 3 men? When 1 m is taken from 3 m's? When 1 bird is taken from 4 birds? When 2 b's are taken from 4 b's? When 3 pins are taken from 4 pins? When 1 book is taken from 5 books? When 2 fingers are taken from 5 fingers? When 3 f's are taken from 5 f's? When 4 guns are taken from 5 guns? Does 3 lack of being 5 times 1? contain 1 cent? Do 3 bushels Do 5 dollars How many are 2 times 1 gun? 2 times 2 guns? 4 times 1 horse? 3 times 1 mule? 5 times 1 cow? How many does 2 lack of being 3 times 1? Does 3 lack of being 4 times 1? Does 3 lack of being 2 times 2? How many times do 2 cents contain 1 bushel? Do 4 books contain 2 books? contain 1 dollar? Do 4 pins contain 1 pin 5 times? James has 1 marble and John has 3 marbles. marbles have James and John together? How many more marbles has John than James? How many does John lack of having 4 times as many as James? How many Susan has 2 roses and Mary has 3 roses; how many roses |