31804377Machine Tool Mathematics 1B
Course Information
Description
Open only for Machine Tool and Industrial Maintenance students. This course includes the study of machine tool problems involving geometry, trigonometry of right triangles, and use of a scientific calculator. Formulas with application to the trade are also studied.
Total Credits
1
Course Competencies
  1. 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

  2. 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