31804381Machine Tool Mathematics 1
Course Information
Description
Open only for Machine Tool and Industrial Maintenance students. Includes the study of machine tool problems involving calculations with fractions, decimals, and percentage. Includes work with the metric system, measurement conversion, geometry, trigonometry of right triangles, and use of a scientific calculator. Formulas with application to the trade are also studied.
Total Credits
2
Prior Learning Assessment
  • Exam-College Developed Challenge Exam
Course Competencies
  1. Solve Machine Tool problems involving fractions
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you express fractions in terms of equivalent fractions
    you express improper fractions as mixed numbers and vice versa
    you reduce fractions to lowest terms
    you find the lowest common denominator of fractions to be added or subtracted
    you add fractions, whole numbers, and mixed numbers
    you subtract fractions, whole numbers, and missed numbers
    you multiply fractions and mixed numbers, including cancelling common factors beforehand
    you divide fractions and mixed numbers
    you use the standard order of operations to perform multiplication, division, addition, subtraction, or combinations of these operations with fractions and mixed numbers
    you simplify complex fractions
    you use a scientific calculator to check calculations involving fractions
    you use a scientific calculator to enter calculations involving fractions

  2. Solve Machine Tool problems involving decimals
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you locate decimal fractions on a number line
    you express decimal fractions as fractions whose denominators are powers of  ten
    you write decimal fractions in word form
    you write the word form of of a decimal fraction as a numeric decimal fraction
    you round decimal fractions to any required number of places
    you express common fractions as decimal fractions
    you express decimal fractions as common fractions
    you distinguish when to use factional calculations or convert between factions and decimals
    you perform addition and subtraction of decimal fractions, and combinations of decimal fractions, fractions, and mixed numbers
    you perform multiplication of decimal fractions, and combinations of decimal fractions, fractions, and mixed numbers
    you perform division of decimal fractions, and combinations of decimal fractions, fractions, and mixed numbers
    you use the standard order of operations to perform multiplication, division, addition, subtraction, or combinations of these operations with decimal fractions, fractions and mixed numbers
    you raise numbers to indicated powers
    you extract whole number roots
    you determine the root of any number using a calculator
    you solve problems that involve combinations of powers and roots with other arithmetic operations
    you convert back and forth between fractions and decimal fractions using a decimal equivalent table
    you recognize signed decimal numbers
    you correctly use signed decimal numbers
    you write out calculations done on a calculator to check your answers
    you use the memories on a calculator to solve problems
    you correctly use a scientific calculator to compute expressions that involve addition, subtraction, multiplication, division, exponentiation, root taking or combinations of these with decimal numbers according to the standard order of operations

  3. Solve Machine Tool problems involving percents
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you express decimal fractions and common fractions as percents
    you express percents as decimal fractions and common fractions
    you write out calculations done on a calculator to check your answers
    you use a scientific calculator to enter calculations involving percents

  4. Solve Machine Tool problems involving the metric system
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you express metric lengths as larger or smaller metric linear units
    you express metric lengths as customary length units
    you express customary length units as metric lengths

  5. Solve Machine Tool problems involving measurement conversion
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you express customary lengths as larger or smaller customary linear units
    you perform arithmetic operations with customary linear units and compound measurements
    you express metric lengths as customary length units
    you express customary length units as metric lengths
    you perform arithmetic operations with metric length units, customary linear units. and compound measurements

  6. Solve Machine Tool problems involving geometric principles
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you add, subtract, multiply, and divide angles in terms of degrees, minutes, and seconds
    you express decimal degrees as degrees, minutes, and seconds
    you express decimal degrees, minutes, and seconds as degrees
    you measure angles with a protractor
    you lay out angles with a protractor
    you identify different types of angles
    you determine unknown angles in geometric figures using the principles of opposite, alternate interior, corresponding, parallel, and perpendicular angles
    you identify different types of triangles
    you determine unknown angles based on the principle that all triangles contain 180°.
    you identify corresponding parts of triangles
    you identify similar triangles and compute unknown angles and sides
    you compute angles and sides of isosceles, equilateral, and right triangles
    you determine interior angles of any polygon
    you identify parts of circles
    you solve problems using geometric principles that involve chords, arcs, central angles, perpendiculars, and tangents
    you solve problems using geometric principles that involve angles formed inside, on, and outside a circle

  7. Solve Machine Tool problems involving trigonometry of right triangles
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you identify the sides of a right triangle with reference to any angle
    you state the ratios of the six trigonometric functions in relation to given triangles
    you find functions of angles given in decimal degrees and degrees, minutes, and seconds
    you find angles in decimal degrees and degrees, minutes, and seconds of given functions
    you determine the variations of functions as angles change
    you compute cofunctions of complementary angles
    you compute an unknown angle of a right triangle when two sides are known
    you compute an unknown side of a right triangle when an angle and a side are known
    you solve simple machine technology problems that require the projection of auxiliary lines and the use of geometric principles and trigonometric functions