Elementary Technical Mathematics, 12th

1. Basic Concepts.
Review of Operations with Whole Numbers. Review of Basic Operations. Order of Operations. Area and Volume. Formulas. Prime Factorization Divisibility. Review of Operations with Fractions. Introduction to Fractions. Addition and Subtraction of Fractions. Multiplication and Division of Fractions. The U.S. System of Weights and Measures. Review of Operations with Decimal Fractions and Percent. Addition and Subtraction of Decimal Fractions. Rounding Numbers. Multiplication and Division of Decimal Fractions. Percent. Part, Base, and Rate. Powers and Roots. Application Involving Percent: Business and Personal Finance.
2. Signed Numbers and Powers of 10.
Addition of Signed Numbers. Subtraction of Signed Numbers. Multiplication and Division of Signed Numbers. Signed Fractions. Powers of 10. Scientific Notation. Engineering Notation.
Chapters 1-2: Cumulative Review.
3. The Metric System.
Introduction to the Metric System. Length. Mass and Weight. Volume and Area. Time, Current, and Other Units. Temperature. Metric and U.S. Conversion.
4. Measurement.
Approximate Numbers and Accuracy. Precision and Greatest Possible Error. The Vernier Caliper. The Micrometer Caliper. Addition and Subtraction of Measurements. Multiplication and Division of Measurements. Relative Error and Percent of Error. Color Code of Electrical Resistors. Reading Scales.
Chapters 1-4: Cumulative Review.
5. Polynomials: An Introduction to Algebra.
Fundamental Operations. Simplifying Algebraic Expressions. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Division by a Monomial. Division by a Polynomial.
6. Equations and Formulas.
Equations. Equations with Variables in Both Members. Equations with Parentheses. Equations with Fractions. Translating Words into Algebraic Symbols. Applications Involving Equations. Formulas. Substituting Data into Formulas. Reciprocal Formulas Using a Calculator.
Chapters 1-6: Cumulative Review.
7. Ratio and Proportion.
Ratio. Proportion. Direct Variation. Inverse Variation.
8. Graphing Linear Equations.
Linear Equations with Two Variables. Graphing Linear Equations. The Slope of a Line. The Equation of a Line.
Chapters 1-8: Cumulative Review.
9. Systems of Linear Equations.
Solving Pairs of Linear Equations by Graphing. Solving Pairs of Linear Equations by Addition. Solving Pairs of Linear Equations by Substitution. Applications Involving Pairs of Linear Equations.
10. Factoring Algebraic Expressions.
Finding Monomial Factors. Finding the Product of Two Binomials Mentally. Finding Binomial Factors. Special Products. Finding Factors of Special Products. Factoring General Trinomials.
Chapters 1-10: Cumulative Review.
11. Quadratic Equations.
Solving Quadratic Equations by Factoring. The Quadratic Formula. Applications Involving Quadratic Equations. Graphs of Quadratic Equations. Imaginary Numbers.
12. Geometry.
Angles and Polygons. Quadrilaterals. Triangles. Similar Polygons. Circles. Radian Measure. Prisms. Cylinders. Pyramids and Cones. Spheres.
Chapters 1-12: Cumulative Review.
13. Right Triangle Trigonometry.
Trigonometric Ratios. Using Trigonometric Ratios to Find Angles. Using Trigonometric Ratios to Find Sides. Solving Right Triangles. Applications Involving Trigonometric Ratios.
14. Trigonometry with Any Angle.
Sine and Cosine Graphs. Period and Phase Shift. Solving Oblique Triangles: Law of Sines. Law of Sines: The Ambiguous Case. Solving Oblique Triangles: Law of Cosines.
Chapters 1-14: Cumulative Review.
15. Basic Statistics.
Bar Graphs. Circle Graphs. Line Graphs. Other Graphs. Mean Measurement. Other Average Measurements and Percentiles. Range and Standard Deviation. Grouped Data. Standard Deviation for Grouped Data. Statistical Process Control. Other Graphs for Statistical Data. Normal Distribution. Probability. Independent Events.
16. Binary and Hexadecimal Numbers.
Introduction to Binary Numbers. Addition of Binary Numbers. Su