### Review

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 Customary Micrometers. Unit 31 Customary and Metric Gage Blocks. Unit 32 Achievement Review- Section III. SECTION IV: FUNDAMENTALS OF ALGEBRA. Unit 33 Symbolism and Algebraic Expressions. Unit 34 Signed Numbers. Unit 35 Algebraic Operations of Addition, Subtraction, and Multiplication. Unit 36 Algebraic Operations of Division, Powers, and Roots. Unit 37 Introduction to Equations. Unit 38 Solution of Equations by the Subtraction, Addition, and Division Principles of Equality. Unit 39 Solution of Equations by the Multiplication, Root and Power Principles of Equality. Unit 40 Solution of Equations Consisting of Combined Operations and Rearrangement of Formulas. Unit 41 Applications of Formulas to Cutting Speed, Revolutions Per Minute, and Cutting Time. Unit 42 Applications of Formulas to Spur Gears. Unit 43 Achievement Review- Section IV. SECTION V: FUNDAMENTALS OF PLANE GEOMETRY. Unit 44 Lines and Angular Measure. Unit 45 Protractors- Simple, Semicircular, and Vernier. Unit 46 Types of Angles and Angular Geometric Principles. Unit 47 Introduction to Triangles. Unit 48 Geometric Principles for Triangles and Other Common Polygons. Unit 49 Introduction to Circles. Unit 50 Arcs and Angles of Circles. Unit 51 Fundamental Geometric Constructions. Unit 52 Achievement Review- Section V. SECTION VI: GEOMETRIC FIGURES, AREAS AND VOLUMES. Unit 53 Areas of Rectangles, Parallelograms, and Trapezoids. Unit 54 Areas of Triangles. Unit 55 Areas of Circles, Sectors, and Segments. Unit 56 Volumes of Prisms and Cyclinders. Unit 57 Volumes of Pyramids and Cones. Unit 58 Volumes of Spheres and Composite Solid Figures. Unit 59 Achievement Review- Section VI. SECTION VII: TRIGONOMETRY. Unit 60 Introduction to Trigonometric Functions. Unit 61 Analysis of Trigonometric Functions. Unit 62 Basic Calculations of Angles and Sides of Right Triangles. Unit 63 Simple Practical Machine Applications. Unit 64 Complex Practical Machine Applications. Unit 65 The Cartesian Coordinate System. Unit 66 Oblique Triangles: Law of Sines and Law of Cosines. Unit 67 Achievement Review- Section VII. SECTION VIII: COMPOUND ANGLES. Unit 68 Introduction to Compound Angles. Unit 69 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Lengths. Unit 70 Drilling and Boring Compound-Angular Holes: Computing Angles of Rotation and Tilt Using Given Angles. Unit 71 Machining Compound-Angular Surfaces: Computing Angles of Rotation and Tilt. Unit 72 Computing Compound Angles Made by the Intersection of Two Angular Surfaces. Unit 73 Computing Compound Angles on Cutting and Forming Tools. Unit 74 Achievement Review- Section VIII. Section IX: COMPUTER NUMERICAL CONTROL: (CNC). Unit 75 Introduction to Computer Numerical Control. Unit 76 Control Systems, Absolute Positioning, Incremental Positioning. Unit 77 Location of Points: Polar Coordinate System. Unit 78 Binary Numeration System. Unit 79 Hexadecimal Numeration System. Unit 80 BCD (Binary Coded Decimal) Numeration System. Unit 81 Achievement Review- Section IX. Appendixes: A United States Customary and Metric Units of Measure. B Principles of Plane Geometry. C Formulas for Areas (A) of Plane Figures. D Formulas for Volumes of Solid Figures. E Trigonometry. Answers to Odd-Numbered Applications. Index.

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### About the Author

Robert D. Smith was an associate professor emeritus of Industrial Technology at Connecticut State University.

John C. Peterson is a retired professor of mathematics at Chattanooga State Technical Community College, where he received the college's Teaching Excellence Award. In addition, he is a past vice president of the American Mathematical Association for Two-Year Colleges (AMATYC) and was co-director of the AMATYC project on Mathematics for the Emerging Technologies funded by the National Science Foundation. He also authored the project report, A Vision: Mathematics for the Emerging Technologies. Dr. Peterson's 90 professional publications include textbooks TECHNICAL MATHEMATICS and INTRODUCTORY TECHNICAL MATHEMATICS. He holds Bachelor of Arts and Master of Arts degrees from the University of Northern Iowa and a doctor of philosophy degree in mathematics education from The Ohio State University.