to 50.

Count by 5's to 50. Begin with 1, 2, 3, or 4 and count by 5's

Add each of the above columns up and down, beginning with 0, 7, 9, 18, 4, 22, 6, 17, 29, 8, or 14.

DICTATION.

Let the teacher dictate examples containing no figure greater than 5. There should not be more than twelve numbers, nor should any number be greater than hundreds of thousands.

SUGGESTION.-The treatment of addition of 6's is similar to the treatment of the other numbers, and involves three distinct drills. 1st. The addition of the digits to 6. 2d. The addition of all numbers up to 59 to 6. SEE BLACKBOARD DRILLS for the 5's. 3d. Counting by 6's, beginning with 0, 1, 2, 3, 4, or 5.

(1)

(2) (3) (4) (5) (6)

EXERCISES IN ADDING COLUMNS.

(7) (8) (9) (10)

Add each column up and down, beginning with 0, 5, 19, 4, 27,

6, 15, 23, 8, 22, or 11.

DICTATION.

Let the teacher dictate examples containing no figure greater than 6. There should not be more than twelve numbers, nor should any number be greater than hundreds of thousands. The numbers should be irregular, that is, not all contain the same number of figures.

SUGGESTION.-Treat the 7's in the same way as the 5's and 6's, observing the three distinct kinds of drill up to 69. Another good written drill is this: Let the teacher arrange numbers and require pupils to add some given number to each of them. For instance, the teacher says: Add 7 to 8, 14, 6, 9, 24, 28, 16, 29, 44, 53. The pupils write 15, 21, 13, 16, 31, 35, 23, 36, 51, 60, if they add readily and accurately.

EXERCISES IN ADDING COLUMNS.

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10)

Add each of the above columns, beginning with 0, 5, 19, 4, 27,

6, 15, 23, 8, 22, or 11.

REMARK.-The units' figure of the sum of any number and a given number is always the same, whether the number is a digit, or simply fills the units' place. See DRILL on 5's.

REMARK.-The above arrangement of numbers in circles gives endless columns, and is an excellent device for utilizing the spare minutes in concert drills. The teacher points to the numbers and the pupils add silently until the teacher calls for results. Go slowly at first, but gradually increase in rapidity as pupils acquire facility in adding.

DICTATION.

Let the teacher dictate examples containing no figure greater than 7. No number should exceed millions.

SUGGESTION.-The 8's and 9's are treated in the same manner as the other numbers.

EXERCISES IN ADDING COLUMNS.

(1) (2) (3) (4) (5) (6) (1) (8) (9) (10)

8

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8

5 8

4

8 8

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Add each of the above columns up and down, beginning with 0, 17, 8, 35, 7, 29, 54, 39, 6, 15, or 26.

DICTATION.

Let the teacher dictate numbers containing no figure greater than 8. The numbers may be as great as hundreds of millions.

Let the teacher dictate examples of numbers containing any figure and not more than four periods. Let the numbers be irregular and contain ciphers.

These inductive exercises are reviews of the facts of addition in the concrete. The pupil should name results without giving an analysis of his process.

INDUCTIVE EXERCISES.

ART. 29.-1. How

many are 3 boys and 2 boys?

3 boys and 3 boys?

2. How many are 3 cows and 4 cows? 3 cows and 5 cows?

3. If an inkstand cost 5 cents and a lead pencil 6 cents, what is the cost of both?

4. In a field are 8 apple-trees and 9 peach-trees: how many trees are there in the field?

5. Jane bought a bonnet for 8 dollars and a dress for 12 dollars: how much did both cost?

6. A farmer had 6 horses and bought 11: how many horses had he then ?

7. If you pick 4 apples from one tree, 3 from another, and 2 from a third, how many do you pick?

8. A man in one week planted 6 acres with corn, in the second week 3 acres, and in the third week 4 acres : how many acres did he plant ?

9. A boy paid 20 cents for a book and 30 cents for some writing paper: how much did he pay for both?

10. A farmer sold some corn for 15 dollars and some wheat for 35 dollars: how much did he receive?

11. Thomas is 7 years old and his father is 24 years older what is the age of his father?

12. If you pay 3 cents ferriage, 15 cents for lunch, and 10 cents for car fare, how much do you pay in all?

13. Three boys bought 4 oranges apiece: how many oranges were bought by all?

14. A certain house has 3 windows in front, 3 in the rear, and 4 on each of its two sides: how many windows in the house?

15. There are 3 eggs in one nest, 5 in another, and 6 in a third how many eggs in the three nests?

16. Harry had 5 marbles, bought 4, and found 2: how many marbles had he then ?

17. Anna read 4 pages in the morning, 6 during the afternoon, and 3 in the evening: how many pages did

she read?

18. Mr. Brown has 3 gray horses, 5 brown horses, and 2 sorrel horses: how many horses has he?

19. A boy spent 4 cents on each of three days: how many cents did he spend?

20. Mr. Smith paid 7 dollars for a pair of trousers, 4 dollars for a vest, and 10 dollars for a coat: how Imuch did his suit cost?

21. What is the total cost of a ton of coal at 6 dollars a ton, and a cord of wood at 4 dollars?

22. Henry has 7 marbles, William 6, John 5, George 4, and Edward 6: how many marbles do the five boys have?

23. Jane bought 6 yards of ribbon, Mary 8, Julia 9, Fanny 7, and Ellen 9: how many yards of ribbon did they all buy?

24. A man had seven sons: to the first he gave 7 pears, to the second 6 pears, to the third 9 pears, to the fourth 8 pears, to the fifth 7 pears, to the sixth 5 pears, and to the seventh 9 pears: how many pears did he give to his seven sons ?

25. There is a school of six rooms, from which the absence was as follows: No. 1, 8 absent, No. 2, 7 absent, No. 3, 5 absent, No. 4, 9 absent, No. 5, 6 absent, and No. 6, 8 absent: how many pupils were absent?

26. How many nuts are 6 nuts + 9 nuts + 7 nuts + 5 nuts + 8 nuts + 2 nuts + 9 nuts?