About the Book
The Basic Industrial Math Course is designed to teach and review the essential math principles used every day in the automotive shop. The online course uses modular instruction and practice, split into six fundamental areas of mathematical function.
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Addition and Subtraction
This unit defines whole numbers, numerals, digits, decimals, place value, addends, sums, minuends, subtrahend, and difference. Upon completion of the module, students will be able to:
Differentiate between concrete and abstract numbers
Explain the significance of the digit zero
Properly prepare numbers to perform addition and subtraction in different mathematical circumstances
Multiplication and Division
This unit defines factors, multiplicands, multipliers, partial products, products, dividends, divisors, quotients, and remainders. Upon completion of the module, students will be able to:
Perform multiplication and division on whole numbers, decimal numbers, and mixed decimal numbers
Find averages and recognize the various signs used for multiplication and division
Properly prepare numbers to perform multiplication and division in different mathematical circumstances
Fractions, Percentages, Proportions, and Angles
This unit defines fractions, proper fractions, improper fractions, lowest common denominators, percentages, ratios, and proportions. Upon completion of the module, students will be able to:
Add, subtract, multiply, and divide fractions
Change fractions to decimals and decimals to fractions
Solve problems including ratios, equivalent ratios, percentages, and proportions
Use a protractor and lay out templates when working with angles
Metric System
This unit defines the base units most commonly used in the metric system and identifies what they’re used to measure. Upon completion of the module, students will be able to:
Identify metric prefixes and apply conversion factors to create a unit that’s larger or smaller than the base unit
Estimate lengths in metric units, and express temperature in degrees Celsius
Define the terms mass, density, force, torque, and pressure, and identify the metric units used to measure each one
Use a conversion table to convert metric units to English units and English units to metric units
Formulas
This unit prepares students to use formulas to solve problems and explain and demonstrate the use of variables in formulas. Upon completion of the module, students will be able to:
Use formulas to calculate the perimeter of a triangle and a rectangle, and the area of a triangle, a rectangle, and a circle
Use formulas to calculate distance, current in a circuit, and the volume of a pyramid and a sphere
Transform and solve equations and formulas and find square roots
Substitute given numerical values for letters in a formula and find the unknown quantity
Introduction to Algebra
This unit prepares students to perform basic arithmetic operations with signed numbers and explains the difference between positive and negative numbers, demonstrating their uses. Additionally, it defines terms, constants, coefficients, exponents, monomials, trinomials, and polynomials. Upon completion of the module, students will be able to:
Use the order of operations for solving problems involving multiple operations
Identify and combine like terms in an expression
Raise a number to any power and multiply and divide terms containing exponents
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This course is the perfect supplement to any area of auto technician training. Giving automotive students the basic knowledge and understanding needed for more advanced automotive courses and training, the course serves as a necessary baseline in automotive education. Whether using this course as an introduction to the field or as a refresher, students benefit from learning the practical use of each module in the real world and become more prepared to apply these skills in the shop.