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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
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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
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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
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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
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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
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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
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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