(1) Read problems and give quotients.* (2) Copy and divide. (3) Tell number stories. 13. When I put two numbers together, I 14. When I take one number from another, I 15. When I take a number a certain number of times, I 16. When I find how many times one number is contained in another, I 17. When I find a certain part of a number, as one half of it, or one third of it, or one fourth of it, I * Observe the double nature of these problems. Require pupils to read each problem in two ways. See foot-note, page 15, and problems on page 21. 1. 2)6* Two apples are contained in 6 apples One half of 6 apples is 2. 3)12 Three dollars are contained in 12 dollars One third of 12 dollars is 3. 4)12 Four cents are contained in 12 cents One fourth of 12 cents is 4. 5)10 Five oranges are contained in 10 oranges 5. 6)12 Six inches are contained in 12 inches One sixth of 12 inches is 6. 4)40 Four cents are contained in 40 cents One fourth of 40 cents is 7. 2)24 3 Two peaches are contained in 24 peaches 8. 3)69 Three quarts are contained in 69 quarts One third of 69 quarts is *This page is designed to impress upon pupils the double nature of abstract problems in division. 10. One half of an oblong 2 inches by 4 inches is * 11. Two quarts are one third of 12. Four inches are one third of 13. One foot is one third of 14. Three inches are one fourth of 15. Twenty-five cents are one fourth of 16. One pint is one fourth of 17. One dime is one third of 18. One quart is one fourth of 19. One half of a foot and one fourth of a foot are inches. 20. One half of a dollar and one fourth of a dollar are cents. 21. One half of a pie and one fourth of a pie are fourths of a pie. 22. One half of an inch and one fourth of an inch are fourths of an 23. One half of a square inch and one fourth of a square inch are fourths of a square inch. * Review page 13, if necessary. imagine horizontal* vertical* 1. Imagine 12 marks on the blackboard; then imagine that you erase half of them; then imagine that you erase one half of the remainder. How many marks do you now seem to see upon the blackboard? 2. Imagine a 4-inch square drawn upon the blackboard; imagine it divided into equal parts by a vertical line; also imagine a horizontal line that would divide the square into two equal parts. Into how many equal parts does the square now seem to be divided? Each part is what kind of a square? How many 2-inch squares in a 4-inch square? 3. Imagine a 1-inch square drawn upon your slate. It has how many sides? Each side is how long? How far is it around a 1-inch square? 4. Imagine a 2-inch square drawn upon the blackboard. It has how many sides? Each side is how long? How far is it around a 2-inch square? 5. Imagine that you have a stick of candy 1 foot long; imagine that you give one third of it to your brother; imagine that you break the remainder into two equal pieces. How many inches long is each piece? 6. Imagine an oblong bounded by two vertical lines each 1 inch long, and two horizontal lines each 3 inches long. How many such oblongs would be equal to a 3-inch square? 7. Imagine four 1-inch squares cut from paper. So arrange them that they together will make a square. What kind of a square is it? 8. Imagine nine 1-inch squares cut from paper. So arrange them that they together will make a square. a square is it? What kind of * Teach the meaning and use of the words vertical and horizontal. PART II. CONTENTS. Primary facts of addition, subtraction, etc., pp. 41, 51, 61, 71, 81, 91, 101, 111, 121, 131, 141, 151. Primary facts of addition and multiplication-Tables, pp. 82, 152. Primary facts applied, pp. 42-44, 52-54, 62-64, 72-74, 82-84, 92-94, 102-104, 112-114, 122-124, 132–134, 142–144. Primary fraction facts, pp. 45, 55, 65, 75, 85, 95, 105, 115, 125, 135, 145. Primary fraction facts applied, pp. 46, 56, 66, 76, 86, 96, 106, 116, 126, 134, 136. Denominate number facts, pp. 47, 48, 57, 58, 79, 104, 124, 134, 144. The meaning of certain arithmetical expressions, pp. 89, 99. 109, 119. Slate Work; Addition, pp. 44, 64, 84, 104, 124, 144. Subtraction, pp. 48, 68, 88, 108, 128. Multiplication, pp. 54, 74, 94, 114, 134. Division, pp. 58, 78, 98, 118, 138. Review Slate Work, pp. 50, 60, 70, 80, 90, 100, 110, 120, 130, 140. Addition - Columns, pp. 67, 77, 87, 97, 107, 117, 127, 137. Measurement problems, pp. 43, 53, 63, 73, 83, 93. 103, 113, 123, 133, 143. Decimals, pp. 70, 80, 90, 100, 110. Time problems, pp. 104, 119, 129, 139. Date problems, p. 92, problem 11; p. 102, prob. 9; p. 113, prob. 4; p. 123, probs. 3, 4, 5, 6; p. 124; p. 133, probs. 6, 7; pp. 134, 144. |