3. What country consumes about twice as many as the United States? 4. Germany consumes about how many times as many as the United States? 5. Compare the amount used in Great Britain with that of the United States. 6. Do you think that these lines give you a better picture of the relations than figures would? The following graph shows the average number of pounds of sugar consumed per person in five countries. 7. Which country consumes the most? How many pounds per person does she consume? 8. Compare the consumption in the United States with that of Canada. 9. What country consumes about as much as the United States? 10. Compare the consumption in Germany with the consumption in the United States, giving your answer in 9ths. 11. Compare the consumption in France with the consumption in Great Britain. With the consumption in Germany. THE BROKEN-LINE GRAPH 239 THE BROKEN-LINE GRAPH To show the changes in temperature, in prices, growths, production, etc., a broken-line graph like the following is used. It shows the variation in temperature one day from 6 A.M. until 8 P.M. The readings were: Paper is ruled in squares. The horizontal lines represent time, each space representing 2 hours. 16° 6 8 10 12 2 4 8 1. Can you collect data for the temperature over a given period, as the temperature at a given time each day for a week, and draw a graph? 2. The minimum temperature for twelve consecutive days in a certain city was as follows: 34°, 36°, 35°, 26°, 21°, 30°, 32o, 31°, 15°, 14°, 18°, 21°. Make a graph of the variation. 3. For eight consecutive years beginning in 1915 the living expenses for a certain family were as follows: $1200, $1450, $1600, $2000, $2500, $2450, $2400, $2200. Show the variation by a graph. 4. Find in newspapers, magazines, or books graphs showing changes by broken-line graphs. SIXTH GRADE: SECOND SEMESTER CHAPTER V THE MEANING AND USE OF PER CENT RATIO EXPRESSED AS PER CENT You have learned that the quotient of one number divided by a like number is the ratio of the dividend to the divisor. In 6 ft. 2 ft. = 3, the 3 shows that 6 ft. is 3 times as long as 2 ft. In 6 ft. ÷ 8 ft. = .75, the .75 shows that 6 ft. is but .75 or 2 of 8 ft. The quotient may be a whole number, fraction, mixed number, or decimal. You have seen, too, that these numbers may all be expressed as per cent. Per cent is only another name and notation for hundredths. 1. How many small squares in this large square? Then each small square is what part of the large square? 2. Each small square is what per cent of the large square? 3. Five of the small squares are what per cent of the whole square? 4. What per cent of the large square is shaded? What per cent of it is not shaded? 5. Into how many equal parts are each of these six bars divided? Each part is what fractional part of the whole bar? What per cent of it? 6. What per cent of A is shaded? 7. What per cent of B is shaded? 8. Tell what part of each of the other bars is shaded. 9. Tell the relation of each bar to A in per cent. Thus, say, "B is 80% of A," and so on. 10. Each of these smaller squares is what part of the whole rectangle? What per cent of it? 11. How many per cent of the rectangle is shaded? What per cent of it is not shaded? 12. Draw a line on the blackboard and show 50% of it. Show 25% of it. Show 10% of it. 13. Draw a rectangle on the blackboard and divide it into 4 equal parts. Show 25% of it. 50% of it. 75% of it. |