1. Reading Dimensions Using a Standard Ruler Todd AndrusTEE 4400 Landon AshcroftDr. Gary Stewardson Zac HirschiFall 2011 Brad Parker Jared Thomas Joseph Woodard

2. Objectives Terminal Objective –read dimensions using a standard ruler Performance Objective –given a diagram of a standard ruler with extension and dimension lines, read dimensions to a 16 th of an inch, using proper or mixed fractions in their lowest terms, with a minimum score of 90% correct.

3. Objectives Enabling Objectives –define the following terms: whole numbers, proper fractions, improper fractions, mixed fractions, numerator, and denominator –identify extension lines, dimension lines, arrowheads, and dimensions –explain how to identify units on a standard ruler –reduce fractions to their lowest terms –change improper fractions to proper fractions

4. Fractions

5. Numerator

6. Fractions Numerator Denominator

7. Types of Numbers & Fractions Whole Numbers:

8. Types of Numbers & Fractions Whole Numbers: 0 1 2 3 4 5…

9. Types of Numbers & Fractions Whole Numbers: 0 1 2 3 4 5… Mixed Fractions:

10. Types of Numbers & Fractions Whole Numbers: 0 1 2 3 4 5… Mixed Fractions:

11. Types of Fractions Proper Fractions:

12. Types of Fractions Proper Fractions:

13. Types of Fractions Proper Fractions: Improper Fractions:

14. Types of Fractions Proper Fractions: Improper Fractions:

15. Reducing Fractions

16. What is the largest whole number that will divide into both the numerator and denominator?

17. Reducing Fractions

19. If you are unable to identify the largest whole number that will divide into both the numerator and denominator, dividing both numbers by 2 will reduce the fraction using multiple steps. This only works with fractions that have an even denominator. Reducing Fractions

20. Can both numerator and denominator be divided evenly by 2?

21. Reducing Fractions

22. Can both numerator and denominator be divided evenly by 2?

23. Reducing Fractions

24. Can both numerator and denominator be divided evenly by 2?

25. Reducing Fractions

26. Can both numerator and denominator be divided evenly by 2?

27. Reducing Fractions

29. What is the largest whole number that will divide into both the numerator and denominator?

30. Reducing Fractions

32. If you are unable to identify the largest whole number that will divide into both the numerator and denominator, dividing both numbers by 2 will reduce the fraction using multiple steps. Remember, this only works with fractions that have an even denominator. Reducing Fractions

33. Can both numerator and denominator be divided evenly by 2?

34. Reducing Fractions

35. Can both numerator and denominator be divided evenly by 2?

36. Reducing Fractions

37. Can both numerator and denominator be divided evenly by 2?

38. Reducing Fractions

39. Practice Fraction Lowest Terms

40. Practice

41. Fraction Lowest Terms

42. Practice Fraction Lowest Terms

43. Reducing Fractions Improper Fractions Mixed Fractions

44. How many times will 4 go into 11, and what is the remainder? Reducing Fractions Improper Fractions Mixed Fractions

45. 4 goes into 11 two times. Reducing Fractions Improper Fractions Mixed Fractions

46. 3 is the remainder and goes in the numerator Reducing Fractions Improper Fractions Mixed Fractions

47. 4 stays in the denominator Reducing Fractions Improper Fractions Mixed Fractions

48. Reducing Fractions Improper Fractions Mixed Fractions

49. How many times will 16 go into 19, and what is the remainder? Reducing Fractions Improper Fractions Mixed Fractions

50. 16 goes into 19 one time. Reducing Fractions Improper Fractions Mixed Fractions

51. 3 is the remainder and goes in the numerator Reducing Fractions Improper Fractions Mixed Fractions

52. 16 stays in the denominator Reducing Fractions Improper Fractions Mixed Fractions

53. Practice Improper Fractions Mixed Fractions

54. Practice Improper Fractions Mixed Fractions

55. Practice Improper Fractions Mixed Fractions

56. Practice Improper Fractions Mixed Fractions

57. Lines on Drawings The physical shape of an object is shown object lines hidden lines center lines Measurements are not specified with these lines.

58. Lines on Drawings Measurements are specified on the drawing by utilizing: extension lines dimension lines arrowheads dimensions

59. Extension Lines Extension lines are fine, solid, straight lines that align with the features on the object to be specified.

60. Dimension Lines and Arrowheads Dimension lines are fine, solid, straight lines with arrowheads. They point to extension lines, and indicate the feature on the object that is being measured. Arrowheads are placed at the end of dimension lines to identify the referenced extension line.

61. Dimensions Dimensions are numerical measurements of a part; written in conjunction with dimension lines.

62. Practice What type of dimension element is identified with the red oval? a) extension line b) object line c) dimension line d) arrowhead

63. Practice What type of dimension element is identified with the red oval? a) extension line

64. Practice What type of dimension element is identified with the red oval? a) extension line b) object line c) dimension line d) arrowhead

65. Practice What type of dimension element is identified with the red oval? d) arrowhead

66. Practice What type of dimension element is identified with the red oval? a) extension line b) object line c) dimension line d) arrowhead

67. Practice What type of dimension element is identified with the red oval? c) dimension line

68. Reading a ruler Rulers are typically divided by 8ths, 16ths, 32nds, and 64ths of an inch. For this lesson we will use rulers with 8 th and 16 th increments.

69. Reading a ruler If the ruler does not indicate units, you will have to count the number of lines in one inch to determine the increments. of the ruler.

70. Reading a ruler The 16 at the beginning of the ruler indicates the smallest units represented.

71. Reading a ruler

78. X What is the dimension represented by X above? Reading a ruler

79. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? Reading a ruler

80. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? Dimension X is on the 8 side of the ruler, therefore 8 is in the denominator Reading a ruler

81. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? Reading a ruler

82. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? Dimension X is past the 2 inch mark, but before the 3 inch mark Reading a ruler

83. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? Reading a ruler

84. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? Dimension X is 1 increment past the whole number 2 Reading a ruler

85. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? 4.Is dimension X in lowest terms? Reading a ruler

86. X What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? 4.Is dimension X in lowest terms? Dimension X is in lowest terms. Reading a ruler

87. X What is the dimension represented by X above? Reading a ruler

88. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? X Reading a ruler

89. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? Dimension X is on the 8 side of the ruler, therefore 8 is in the denominator X Reading a ruler

90. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? X Reading a ruler

91. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? Dimension X is past the 1 inch mark but before the 2 inch mark X Reading a ruler

92. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 1 inch mark? X Reading a ruler

93. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 1 inch mark? Dimension X is 4 increments past the whole number 1 X Reading a ruler

94. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 1 inch mark? 4.Is dimension X in lowest terms? X Reading a ruler

95. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 1 inch mark? 4.Is dimension X in lowest terms? X Reading a ruler

96. What is the dimension represented by X above? X Reading a ruler

97. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? X Reading a ruler

98. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? X Dimension X is on the 16 side of the ruler, therefore 16 is in the denominator Reading a ruler

99. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? X Reading a ruler

100. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? X Dimension X is past the 2 inch mark, but before the 3 inch mark Reading a ruler

101. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? X Reading a ruler

102. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? X Dimension X is 13 increments past the whole number 2 Reading a ruler

103. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? 4.Is dimension X in lowest terms? X Reading a ruler

104. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 2 inch mark? 4.Is dimension X in lowest terms? X Dimension X is in lowest terms Reading a ruler

105. What is the dimension represented by X above? X Reading a ruler

106. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? X Reading a ruler

107. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? X Dimension X is on the 16 side of the ruler, therefore 16 is in the denominator Reading a ruler

108. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? X Reading a ruler

109. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? X Dimension X is past the 3 inch mark, but before the 4 inch mark Reading a ruler

110. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 3 inch mark? X Reading a ruler

111. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 3 inch mark? X Dimension X is 12 increments past the whole number 2 Reading a ruler

112. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 3 inch mark? 4.Is dimension X in lowest terms? X Reading a ruler

113. What is the dimension represented by X above? 1.What is the smallest ruler increment represented for dimension X? 2.How many whole numbers are represented in dimension X? 3.How many increments are past the 3 inch mark? 4.Is dimension X in lowest terms? X Reading a ruler

114. A. _______ B. _______ C. _______ Practice D. _______ E. _______ F. _______

115. D. _______ E. _______ F. _______ Practice A. _______ B. _______ C. _______

116. A. _______ B. _______ C. _______ Practice D. _______ E. _______ F. _______

117. A. _______ B. _______ C. _______ Practice D. _______ E. _______ F. _______

118. A. _______ B. _______ C. _______ Practice D. _______ E. _______ F. _______

119. A. _______ B. _______ C. _______ Practice D. _______ E. _______ F. _______

120. D. _______ E. _______ F. _______ A. _______ B. _______ C. _______ Practice