1. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 0 Introduction to Construction Math Module 00102-09

2. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 1Objectives 1.Add, subtract, multiply, and divide whole numbers, with and without a calculator. 2.Use a standard ruler, a metric ruler, and a measuring tape to measure. 3.Add, subtract, multiply, and divide fractions. 4.Add, subtract, multiply, and divide decimals, with and without a calculator. Upon completion of this module, you will be able to:

3. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 2Objectives cont. 5.Convert decimals to percentages and percentages to decimals. 6.Convert fractions to decimals and decimals to fractions. 7.Explain what the metric system is and how it is important in the construction trade. 8.Recognize and use metric units of length, weight, volume, and temperature. 9.Recognize some of the basic shapes used in the construction industry and apply basic geometry to measure them.

4. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 3 Figure 1 – Place values

5. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 4 Figure 2 – Foundation A

6. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 5 Figure 3 – Foundation B

7. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 6 Figure 4 – Concrete block

8. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 7 Figure 5 – Roof

9. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 8 Figure 6 – Types of measurement tools

10. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 9 Figure 7 – Standard ruler showing 1⁄16-inch increments

11. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 10 Figure 8 – 1⁄8-inch ruler

12. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 11 Figure 9 – 1⁄16-inch ruler

13. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 12 Figure 10 – Distances on a metric ruler

14. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 13 Figure 11 – Metric ruler study problem

15. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 14 Figure 12 – Measuring tape showing English and metric measurements

16. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 15 Figure 13 – Wall framing markings on a tape measure

17. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 16 Figure 15 – Metric and English measuring tape

18. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 17 Figure 16 – Metric and English measuring tape

19. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 18 Figure 17 – The architect’s scale

20. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 19 Figure 18 – Measuring a section of duct with an architect’s scale

21. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 20 Figure 19 – Metric architect’s scale

22. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 21 Figure 20 – The engineer’s scale

23. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 22 Figure 21 – Duct measurement using 1⁄8 scale

24. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 23 Figure 22 – Duct measurement using 1⁄4 scale

25. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 24 Figure 23 – Meter measurements

26. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 25 Figure 24 – Engineer’s scale measurements

27. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 26 Figure 25 – Converting inches to yards

28. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 27 Figure 26 – Converting centimeters to meters

29. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 28 Figure 27 – Fractions of an inch

30. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 29 Figures 28 and 29 – Four and eight sections of a 2 x 4

31. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 30 Figure 30 – Drilling a sill plate for an anchor bolt

32. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 31 Figure 31 – Floor joists

33. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 32 Figure 32 – Determining the sidewalk slope

34. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 33 Figure 33 – Using a machinist’s rule to measure tenths

35. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 34 Figure 34 – First floor plan

36. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 35 Figure 35 – Foundation plan

37. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 36 Figure 36 – Materials list

38. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 37 Figure 37 – HVAC elevation drawing

39. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 38 Figure 39 – Office floor plan

40. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 39 Figure 40 – Site plan

41. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 40 Figure 41 – Types of angles

42. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 41 Figure 44 – Cutting a rectangle on the diagonal produces two right triangles

43. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 42 Figure 45 – Cutting a square on the diagonal produces two right triangles

44. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 43 Figure 46 – The sum of a triangle’s three angles always equals 180 degrees.

45. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 44 Figure 47 – Measurements that apply to circles

46. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 45 Figure 48 – Volume of a rectangle

47. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 46 Figure 49 – Volume of a cube

48. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 47 Figure 50 – Volume of a cylinder

49. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 48 Figure 51 – Volume of a triangle

50. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 49 Figure 52 – Finding the area of a pipe

51. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 50 Figure 53 – Removing topsoil for a sidewalk

52. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 51 Figure 54 – Estimating concrete for a sidewalk

53. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 52 Supplemental Art

54. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 53 Supplemental Art

55. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 54 Supplemental Art

56. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 55 Supplemental Art

57. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 56 Supplemental Art

58. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 57 Supplemental Art

59. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 58 Supplemental Art

60. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 59 Supplemental Art

61. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 60 Supplemental Art

62. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 61 Supplemental Art

63. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 62 Supplemental Art

64. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 63 Supplemental Art

65. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 64 Supplemental Art

66. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 65 Supplemental Art

67. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 66 Supplemental Art

68. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 67 Supplemental Art

69. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 68 Supplemental Art

70. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 69 Supplemental Art

71. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 70 Supplemental Art

72. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 71 Supplemental Art

73. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 72 Supplemental Art

74. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 73 Supplemental Art

75. Copyright © by NCCER, Published by Pearson Education, Inc. Core Curriculum Module 00102-09 National Center for Construction Education and Research Slide 74 Supplemental Art