SCHOOL-AND-HOME PROJECTS

1. In a certain school district the pupils take a school-andhome project; that is, they do a piece of work, keep track of expenses, and report the profit. Sometimes this work is gardening. The standard size of a garden plot for this purpose is 8 rd. long and 2 rd. wide. What part of an acre is this?

2. Sometimes a pupil cultivates a piece of land 10 rd. long and 4 rd. wide. What part of an acre is this?

3. Frank cultivates a garden 5 rd. long and 2 rd. wide. He puts a fence around it, using four wires nailed to posts. If a spool of 330 yd. of wire costs $4, find the cost of the wire for the fence.

4. Richard Heath rented a piece of land from his father. He measured it and found it 39 ft. wide and 66 ft. long. He said that it contained a little over 5 sq. rd. Was he right? How much over 51 sq. rd. was there in the piece of land?

5. On the piece of land described in Ex. 4 Richard raised 29 pk. of potatoes. Find to the nearest thousandth of a bushel the amount of potatoes he raised to the square yard.

6. At the number of bushels to the square yard found in Ex. 5, how many bushels should Richard raise to an acre?

7. Richard sold the potatoes mentioned in Ex. 5 to his father at $1.30 a bushel. How much money did he receive?

In many parts of the country the schools encourage school-and-home projects. These include school-and-community gardens, canning, poultryraising, sewing, business, and cooking projects. Such projects encourage thrift, dignify labor, instill a love of nature, and furnish excellent practical applications of arithmetic. A reasonable number of projects are suggested in this book, but the complete carrying out of such projects often results in a waste of time and a loss of interest. Their use must depend on the needs of the school.

DRAWING TO SCALE

1. The plan of a certain apartment is here shown. The plan is drawn to the scale of 1 in. to 10 ft.

As the pupils learned on page 108, to draw to the scale of 1 in. to 10 ft., we represent 10 ft. by 1 in. To draw to the scale, we represent 12 in. by 1 in. We frequently write 2' 7" for 2 ft. 7 in.

2. What is the area of the floor of the living room? 3. Measure the plan and find the size of the inner hall into which open both bedrooms and the living room.

4. What is the width of the windows in the living room and in the kitchen?

5. What is the area of the floor of the kitchen and living room together?

6. What is the area of the floor of each bedroom?

Teachers should show that this is related to map drawing.

SCHOOL-AND-HOME PROJECTS

1. Mabel Wagner was a pupil in a school where the pupils took as their projects in arithmetic the growing of garden produce. She rented a plot of land 16 ft. wide and 66 ft. long. Draw a map to the scale of 1 in. to 1 rd.

2. Ralph Baker rented a plot of land 821 ft. long and 33 ft. wide. Draw a map to the scale of 2 in. to 1 rd. and find what part of an acre Ralph rented.

3. Mary Worden rented a piece of land on which she raised garden vegetables. She had of an acre, and the strip was 2 rd. wide. Draw a map to the scale of in. to 1 rd.

4. Fred and Walter took as their project the laying of a gravel walk from the schoolhouse to the road. The walk was 81 ft. wide and 7 rd. long. Draw a plan of the walk to the scale of 1 in. to 1 rd.

5. Kate and Mary took as their project the making of a garden 2 rd. long and 11⁄2 rd. wide. Draw a plan of the garden to the scale of in. to 1 rd.

6. The boys of our school wanted some land for a baseball field, and they asked a farmer whose land adjoined the school grounds if he would rent them enough for this purpose. He asked how much they needed, and one boy thought they should have a piece having ten times the area of the diamond, which is a square 90 ft. on a side. The farmer said that he could rent them a piece 9 rd. wide and 10 rd. long. Was that as large as they wished? Another boy suggested that they draw a plan of the piece of land to the scale of in. to 1 rd., and on the plan show how the baseball diamond could best be placed. Draw this plan and decide whether you think the field the farmer would rent to the boys was large enough.

DRAWING TO SCALE

1. Draw a plan of a book cover that the boys are making. The cover is to be 6 in. by 9 in. Use the scale.

2. A school corridor is 8 ft. by 80 ft. Draw a floor plan of this corridor, using the scale of in. to 1

3. A playground is 64 ft. playground, using the scale of

16

by 96 ft.

ft.

Draw a plan of the

in to 1 ft.

4. A schoolroom is 30 ft. long and 25 ft. wide. Draw a plan of the floor, using the scale 120.

5. Draw a plan of a floor 24 ft. long and 16 ft. wide, using the scale of in. to 1 ft.

6. Draw a plan of a school garden 64 ft. long by 40 ft. wide to the scale of in. to 1 ft.

7. Draw a plan of a rug 16 in. by 28 in. to the scale 1.

8. A plan for a playhouse is drawn to the scale of 1 in. to 21 ft. The plan is 63 in. long and 4 in. wide, and the playhouse is rectangular. Find the area of the playhouse floor.

9. The class has considered the question of a model kitchen in an apartment house. The pupils drew a plan to the scale, representing the kitchen as 3 in. long and 2 in. wide. What is the floor space of the proposed kitchen?

10. The class has made a drawing of a rectangle. The drawing has an area of 6 sq. in. If a scale twice as large were used, what would be the area of the drawing? Draw two plans of the rectangle, so as to show that the answer is correct.

11. Measure the top of your desk to the nearest inch. Make a drawing of the top, as seen from above, using the scale §. 12. Make two drawings of the blackboard, one to the scale 10 and the other to the scale 4

PROBLEMS ABOUT THE SCHOOL

1. A schoolroom is 36 ft. long and 24 ft. wide. Draw a plan of the floor to the scale of 1 in. to 6 ft.

2. Measure the cover of your geography and draw a plan to the scale 1.

3. On one side of a schoolroom is a blackboard 3 ft. high. The chalk rack is 3 ft. from the floor. The room is 30 ft. long and 15 ft. high. Draw a plan of the side of the room to the scale of 1 in. to 1 yd.

4. A door in a schoolhouse is 3 ft. 6 in. wide and 7 ft. 3 in. high. Draw two plans of the door, one to the scale of 1 in. to 1 ft. and the other to half this scale.

5. A school building is 120 ft. long and 60 ft. wide. Draw a plan to the scale of 1 in. to 40 ft. A street 40 ft. wide runs in front of the building and 60 ft. from it. Show on the plan the position of the street.

6. This is a drawing of a doll's table made by a class. The top of the table is to be 10 in. by 12 in. The end supports are to be 10 in. at the top, 7 in. at the bottom,

and 8 in. high. Draw plans for the top and ends, using the scale 1. The end supports are cut in 1 in. at the distance of 2 in. from each bottom corner.

7. The boys in the school play base

ball on a field that is 480 ft. long and 320 ft. wide. Draw a plan of the field to the scale of 1 in. to 80 ft.

8. The inside dimensions of a small loom made by a class in manual training are 12 in. by 15 in. The frame of the loom is in. wide. Find the outside dimensions and draw a plan of the loom to the scale.