Mathematics for Machine Technology

SECTION I: COMMON FRACTIONS AND DECIMAL FRACTIONS.
Unit 1. Introduction to Common Fractions and Mixed Numbers.
Unit 2. Addition of Common Fractions and Mixed Numbers.
Unit 3. Subtraction of Common Fractions and Mixed Numbers.
Unit 4. Multiplication of Common Fractions and Mixed Numbers.
Unit 5. Division of Common Fractions and Mixed Numbers.
Unit 6. Combined Operations of Common Fractions and Mixed Numbers.
Unit 7. Computing with a Calculator: Fractions and Mixed Numbers.
Unit 8. Introduction to Decimal Fractions.
Unit 9. Rounding Decimal Fractions and Equivalent Decimal and Common Fractions.
Unit 10. Addition and Subtraction of Decimal Fractions.
Unit 11. Multiplication of Decimal Fractions.
Unit 12. Division of Decimal Fractions.
Unit 13. Powers.
Unit 14. Roots.
Unit 15. Table of Decimal Equivalents and Combined Operations of Decimal Fractions.
Unit 16. Computing with a Calculator: Decimals.
Unit 17. Achievement Review Section I.
SECTION II: RATIO, PROPORTION, AND PERCENT.
Unit 18. Ratio and Proportion.
Unit 19. Introduction to Percents.
Unit 20. Basic Calculations of Percentages, Percents, and Rates.
Unit 21. Percent Practical Applications.
Unit 22. Direct and Inverse Proportions.
Unit 23. Achievement Review Section II.
SECTION III: LINEAR MEASUREMENT: ENGLISH AND METRIC.
Unit 24. Customary (English) Units of Measure.
Unit 25. Metric Units of Measure.
Unit 26. Degree of Precision and Greatest Possible Error, Absolute Error, and Relative Error.
Unit 27. Tolerance, Clearance, and Interference.
Unit 28. Customary and Metric Steel Rules.
Unit 29. Customary Vernier Calipers and Height Gages.
Unit 30. Metric Vernier Calipers and Height Gages.
Unit 31. Electronic Calipers and Height Gages.
Unit 32. Customary Micrometers.
Unit 33. Metric Micrometers.
Unit 34. Electronic Micrometers.
Unit 35. Customary and Metric Gage Blocks.
Unit 36. Achievement Review Section III.
SECTION IV: FUNDAMENTALS OF ALGEBRA.
Unit 37. Symbolism and Algebraic Expressions.
Unit 38. Signed Numbers.
Unit 39. Algebraic Operations of Addition, Subtraction, and Multiplication.
Unit 40. Algebraic Operations of Division, Powers, and Roots.
Unit 41. Introduction to Equations.
Unit 42. Solution of Equations by the Subtraction, Addition, and Division Principles of Equality.
Unit 43. Solution of Equations by the Multiplication, Root, and Power Principles of Equality.
Unit 44. Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas.
Unit 45. Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time.
Unit 46. Applications of Formulas to Spur Gears.
Unit 47. Achievement Review Section IV.
SECTION V: FUNDAMENTALS OF PLANE GEOMETRY.
Unit 48. Lines and Angular Measure.
Unit 49. Protractors- Simple, Semicircular, and Vernier.
Unit 50. Types of Angles and Angular Geometric Principles.
Unit 51. Introduction to Triangles.
Unit 52. Geometric Principles for Triangles and Other Common Polygons.
Unit 53. Introduction to Circles.
Unit 54. Arcs and Angles of Circles.
Unit 55. Fundamental Geometric Constructions.
Unit 56. Achievement Review Section V.
SECTION VI: GEOMETRIC FIGURES, AREAS AND VOLUMES.
Unit 57. Areas of Rectangles, Parallelograms, and Trapezoids.
Unit 58. Areas of Triangles.
Unit 59. Areas of Circles, Sectors, and Segments.
Unit 60. Volumes of Prisms and Cylinders.
Unit 61. Volumes of Pyramids and Cones.
Unit 62. Volumes of Spheres and Composite Solid Figures.
Unit 63. Achievement Review Section VI.
SECTION VII: TRIGONOMETRY.
Unit 64. Introduction to Trigonometric Functions.
Unit 65. Analysis of Trigonometric Functions.
Unit 66. Basic Calculations of Angles and Sides of Right Triangles.
Unit 67. Simple Practical Machine Applications.
Unit 68. Complex Practical Machine Applications.
Unit 69. The Cartesian Coordinate System.
Unit 70. Oblique Triangles: Law of Sines and Law of Cosines.
Unit 71. Achievement Review Section VII.
SECTION VIII: COMPOUND ANGLES.
Unit 72. Introduction to Compound Angles.
Unit 73. Drilling and