1 / 53

Climate Control Technology Math

Climate Control Technology Math. Climate Control Technology. Importance of math. Why is math important in construction? * Provides accurate communication of measurements of materials, tools, and/or equipment. Numbers. Whole Numbers: complete numbers w/o decimals or fractions

mateo
Download Presentation

Climate Control Technology Math

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Climate Control Technology Math Climate Control Technology

  2. Importance of math Why is math important in construction? * Provides accurate communication of measurements of materials, tools, and/or equipment

  3. Numbers Whole Numbers: complete numbers w/o decimals or fractions 1 5 12 368 4,724 Non-Whole Numbers: 1.5 6 ½ 42.8 0.006

  4. Digits Parts to Whole Numbers: Digits Units Tens Hundreds Thousands Ten Thousands Hundred Thousand Millions

  5. Addition • Adding Whole Numbers 6 + 3 • 9

  6. Addition continue • Carrying in Addition • 48 • + 64 • 112

  7. Word Problems • Problem-Solving (Word Problems) • If a construction company had 14 workers on one job, 18 on another, and 32 on a third job, how many total employees do they have all together?

  8. Applied Math • 14 • 18 • + 32 • 64 total workers

  9. Applied Math Continues Subtracting Whole Numbers: • 38 • - 24 • 14

  10. Subtraction • Borrowing during subtraction • 34 • - 28 • 6

  11. Multiplying • Multiplying Simple Whole Numbers • 4 • x 8 • 32

  12. Multiplying Continues • Multiplying Larger Whole Number • 75 • x 16 • 420 • 75_ • 1170

  13. Division • Dividing Whole Numbers: • 10 div by 2 5 2 10 10 0

  14. Division Continues • Dividing More Complex Numbers: 2 8. 7 12 345. 0 24 10 5 96 9 0 84

  15. Importance of Measurements • Measurements • Divisions of an inch

  16. Fractions Explained • Fractions – value expressed with a numerator and denominator • 1 • 2 Numerator Denominator

  17. Fractions Explained • Equivalent fractions – different numerators and denominators but having the same value • 4 2 1 • 8 4 2

  18. Fractions Explained • Reducing to lowest forms • Reduce to lowest terms possible by dividing both the numerator and numerator by the highest number possible

  19. Dividing Fractions • 3 3 1 • 9 3 3

  20. Dividing Fractions Explained • Lowest common denominator • Find lowest number that will EVENLY divide into both denominators

  21. Less than Greater than • 3 5 • 4 8 Which is larger? or

  22. Fractions • Adding Fractions • Find lowest common denominator • Use that denominator • Add the numerators • Reduce to lowest terms

  23. Adding Fractions • 3 5 • 4 8 • 6 5 11 • 8 8 8

  24. Subtracting Fractions • 3 5 • 4 8 • 6 5 1 • 8 8 8

  25. Subtracting Continues • Subtracting a fraction from a whole number • 5 – ¼ =

  26. Subtracting Continues 4 4/4 • 5 • - ¼ • 4 ¾ 3/4

  27. Multiplying Fractions • 4 x 5 = 20 8 6 48

  28. Dividing Fraction • Dividing Fractions • Invert (flip) 2nd fraction • multiply numerator • multiply denominator • simplify

  29. Dividing Fraction Explains • 3 1 = 8 2 • 3 x 2 = 6 = 3 8 1 8 4

  30. Metric rule • Reading metric rule • units of tenths • can be written as decimal or fraction

  31. Metric rule Explains 0.2 0.7 1.0 1.6 2.1 2.7

  32. Adding decimals • 4.561 • + 54.7 • 4.561 • + 54.7 = 59.261

  33. Multiplying Decimals • Multiplying Decimals • Rule: answer must total number of decimal places in answer

  34. Multiplying Decimals • 8.2 x 1.26 10332 (count 3 decimal places) = 10.332

  35. Dividing decimals • Dividing decimals • if decimal in numerator, keep decimals in line • If decimal in denominator, move until right of units place. Must move same number of places for the numerator.

  36. Rounding decimals • Rounding decimals • .5 or above, round up • .499999999999 or below, drop off

  37. Calculators • Using calculators

  38. Conversions • Conversion Processes • Decimal  Percentages • Percentages  Decimals

  39. Conversion • decimals  percentage = # x 100 • percentage  decimals = # / 100

  40. Conversion • Fractions  decimals • set up as division problem. • Review questions • p. 2.36

  41. Conversion • Converting decimals  fractions • Setup with value over place value • Becomes fraction  reduce

  42. Conversion • Converting inches  decimals • divide inches by 12 and place as decimal • Ex. 7” = _?_’ 7/12” = 0.583’

  43. Angles acute right obtuse straight adjacent opposite Geometry

  44. Shapes • Triangles – 180 , • equilateral • right • isosceles • scalene

  45. Squares / Rectangles • 4 sides, right angles • diagonals • 360

  46. Circles • 360 • circumference • diameter • radius

  47. Pythagorean Theorem • a + b = c 2 2 2

  48. Area • amount of space a shape takes up • measured in square in (sq in) or ft (sq ft)

  49. Area • A (square) = l x w • A (rectangle) = l x w • A (circle) = Ii r • A (triangle) = ½bh 2

  50. Area • find area 8’ 14’

More Related