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
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