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MARY.

gain?

a

8. A dealer sold a piano marked $960.00 at a reduction of 12% % and made profit of 33% %. What did the piano cost him?

9. To what extent would you use objects in teaching number to a second grade class? 10. Should

the teaching of number begin with the first or the second grade? Give reasons for your answer.

11. Explain your method of teaching subtraction when numbers of not less than three figures are involved. Answers.

1. An Integral unit is one, or the whole of anything; as, the number 1, one square inch, one regiment, one share, etc.

A fractional unit is a single definite part of an integral unit; as, 1/7 is the fractional unit of 5/7; 1/5 sq. in. is the fractional unit of 4/5 sq. in.; 1/4 of a regiment is the fractional unit in 3/4 of a regiment; 1/10 of a share is the fractional unit in 9/10 of a share, etc.

2. Perimeter 58 ft.; 1 sq. ft. X58X8=464 sq. ft. 51 5/9 sq. yds., the walls; 1 sq. ft. X 12X17 204 sq. ft. 22 2/3 sq. yds., the ceiling; 51 5/9+22 2/3=74 2/9; 74 2/9 sq. yds. at 9 cents = $6.68.

3. The gain is 25 pairs on the cost of 75 pairs, or 3, or 33% %.

4. The interest on $1,750 at 7% for 120 days, counting 360 days to the year, is $40.833; counting 360 days to the year, is interest is $40.274+. In some texts the latter is called exact interest.

[A possible interpretation of the question would add the interest due, at the end of the 60 days, to the principal, and then calculate the interest on this amount for the remaining 60 days.

Counting 360 days to the year, the amount due at the end of the sixty days is $1,770.41%; with this sum as principal the interest due at the end of the next 60 days is $20.654+.

Counting 365 days to the year, the amount due at the end of the 60 days is $1,770.137+; with this sum as principal, the interest due at the end of the next 60 days is $20.368.]

5. Area of cross section of rectangular flue=1 sq. in. X 12 X 24=288 sq. in. area of the circular flue; 288.7854-366.6921; the square root of this is 19.149, the diameter Multiplying the diameter by 3.1416=60.1584, the circumference.

The

6. The base of a cylinder is a circle. base of a triangular prism is a triangle, or polygon. The cylinder may be circumscribed about the prism, in which case its edges will be elements in the curved surface of the cylinder.

The volume of the prism is the product of the area of the base by the altitude. Since the base of the cylinder is a polygon with an infinite number of sides, its volume is also the product of the area of the base by the altitude.

7. $110-$90-$20; $20 is 22 2/9%.

2/9 of $90; 2/9=

8. 12% % of $960 $120; $960-$120-$840, Since the selling price. 33% %%, this price was 4/3 of the cost. If 4/3 cost = $840, cost $210, and the cost therefore is 3X $210 $630.

9. Children acquire a knowledge of numThis ber through illustration with objects. illustration should be continued until the pupil is able to image it, or to think numbers concretely. If second grade pupils do not yet possess this power to a considerable degree, then they should have the benefit of additional objective illustration in their number work.

10. Number teaching should begin with the first grade, for children before school life have acquired, in an objective way, through many incidents and experiences, a working knowledge of numbers as high as 10, or higher.

Such a basis is quite advantageous to the teacher, as ground work on which to build. 11. For both recognized methods see texts on elementary arithmetic.

7. What was the Oregon Country to which the United States laid claim? What was the basis of the claim? How and when was the Oregon boundary settled?

8. What was President Johnson's plan of reconstruction? Why would Congress not accept it?

9. Write a sketch of the life of William Henry Harrison as you would tell it to third grade pupils.

10. What do you understand by a historical pageant? Its value in history work? 11. Who were the following: Ulysses, Roland, Canute, Robert Bruce?

Answers.

1. John Cabot discovered first the mainland of North America and claimed it for England. He landed possibly in Labrador. Balboa, a Spaniard, in 1513 discovered the Pacific Ocean after crossing the Isthmus of Panama. He took possession in the name of his king.