dimes, and Charles has 2 times 1 dime; which has the more money?

What sign stands for times? Ans. X. Make it on the board. Write this: 2X1=2 on the board. How is it read? Ans. 2 times 1 are 2.

DIVISION.-Measuring by a part.

Does 2 contain its parts? What are its parts? Does 2 contain 1 and 1? Does it contain 1 2 times?

How many times do 2 horses contain 1 horse? How many times can you take 1 pint from 2 pints? How many times, then, do 2 pints contain 1 pint?

=

What sign stands for contains? Ans. . Make it on the board. Write this: 2÷1 2 on the board. How is it read? Ans. 2 contains 1, 2 times, or 2 divided by 1 equals 2.

LESSON III.

ABOUT THE NUMBER THREE.

What lesson is this? What is it about? Hold up 3 fingers. Tap your slate 3 times. Make 3 on the board. Make 3 three times. Is the wagon loaded with 3 bales? Are 3 bales

the whole load or a

part of the load? Are 2 bales the whole load or a part

of the load? Is 1 bale a part of the load? Do 2 bales and 1 bale make 3 bales? Are 1 bale and 2 bales the same as 2 bales and 1 bale? What are the two parts of 3 bales? Ans. 1 bale and 2 bales. What are the two parts of 3 barrels? 3 birds? 3 dollars? 3 d's? 3 m's?

What are the two parts of 3? Ans. 1 and 2, or 2 and 1.

ADDITION.-Uniting the parts.

How many are 2 bales and 1 bale when put together? 2 horses and 1 horse? 1 dime and 2 dimes? 2 d's and 1 d? 1 c and 2 c's? 1 and 2? What are the two parts of 3? When you put them together, do they make 3? Ann has 2 plums and Susan has 1 plum; how many plums have they together? Ben has one marble and Ike has 2 marbles; if they put them in a sack how many will be in the sack?

Write these, 2+1=3 and 1+2=3, and read them.

SUBTRACTION.-Taking away one part.

How many bales would be left on the wagon if 1 bale were rolled off? If 2 bales were rolled off? How many are left when 1 is taken from 3? When 2 is taken from 3? What are the two parts of 3? When one of them is taken from 3, is the other left? Jane had 3 roses, but gave 1 rose to Mary; how many roses did Jane have left? Ann had 3 cherries but gave 2 cherries to Ben; how many did Ann then have? How many are 3 roses less 1 rose? 3 cherries less 2 cherries? 3 r's less 2 r's? 3 c's less 1 c? 3 less 1?

Copy and read, 3-1=2; 3-2-1; 3-3=0. James killed 1 bird and John killed 3 birds; how many more did John kill than James?

MULTIPLICATION.—Uniting equal parts.

How many are 1 and 1 and 1? How many times is 1 taken? 3 times 1 are how many? How many are 3 times 1 bale? 3 times 1 horse? 3 times 1 h? 3 times 1a? Julia has 1 rose, and Mary has 3 times as many as Julia; how many roses has Mary? Show me 3 fingers. Now show me 3 times 1 finger.

Copy and read, 3 X 1=3.

DIVISION.-Measuring by a part.

Does the load,-3 bales, contain its parts? Does it contain 1 bale and 1 bale and 1 bale? Does it contain 1 bale 3 times? Put 3 books on the table. Now take off 1 book at a time until all are removed. How many times did you take off 1 book? How many times, then, do 3 books contain 1 book? If a boy carries off a bushel of corn at a time, how many trips will he have to make to carry off 3 bushels? How many times, then, do 3 bushels contain 1 bushel?

Copy and read, 3 ÷ 1=3; 3÷3=1.

NOTE.-0 is called none; thus, none and 3 are 3.

LESSON IV.

ABOUT THE NUMBER FOUR.

What lesson is this? What is it about?

Is 4 more than 3? How many more? Show me 4 books. In the

picture is a class of girls; how many girls are there? Are 3 girls the whole, or a part of the class? Are 2 girls the whole, or a part of the class? Is 1 girl a part of the class? If

the class were divided into two parts, how many girls would be in each part? Ans. 1 girl in one part and 3 girls in the other part; or 2 girls in one and 2 girls in the other.

Show me, with 4 fingers, how this would be. What, then, are the two parts of 4 girls? Ans. 1 girl and 3

girls, and 2 girls and 2 girls.

What are the two parts of 4? Ans. 1 and 3, 2 and 2.

ADDITION.-Uniting the parts.

2

How many are 1 girl and 3 girls? 3 girls and 1 girl? 2 girls and 2 girls? 3 horses and 1 horse? mules and 2 mules? 1 m and 3 m's? 3 n's and 1 n? 2 and 2?

What are the two parts of 4? When you put them together, do they make 4? Ann has 1 plum and Emma has 3 plums; how many plums have they together? Ben has 2 marbles and Jake has 2 marbles;

how many have they together? Julia has 3 dolls and Mary has 1 doll more than Julia; how many dolls has Mary?

Copy and read: 1+3=4; 2+2=4; 3+1=4.

SUBTRACTION.—Taking away one part.

How many girls would be left in the class, if 1 girl were taken away? If 2 girls were taken away? If 3 girls? If 4 girls? 1 from 4 leaves how many? 2 from 4 leaves how many? 3 from 4? 4 from 4? What are the two parts of 4? When one of them is taken from 4, is the other left? Jane had 4 roses but gave her sister 1 rose; how many roses did Jane then have? Frank had 4 dimes but gave 2 dimes to an old blind man, how many dimes did Frank then have? 4 birds were on a limb, but 3 birds have flown; how many birds are left?

Copy and read: 4-1-3; 4-2=2; 4-3=1.

MULTIPLICATION.-Uniting equal parts.

How many are 1, 1, 1 and 1? How many times is the part 1 taken? How many, then, are 4 times 1? How many are 4 times 1 girl? 4 times 1 book? 4

times 1 horse?

How many are 2 and 2? How many times is the part 2 taken? How many, then, are two times 2? How many are 2 times 2 girls? 2 times 2 birds? 2 times 2 roses? Show me 4 fingers. Now show me 4 times 1 finger. Now show me 2 times 2 fingers. Ben has 4 times 1 toy and Frank has 2 times 2 toys; which has the more?

Copy and read: 4 X 1=4; 2×2=4.