31804379Vocational Mathematics 1
Course Information
Description
A review of basic mathematics that consists of an introduction to using a scientific calculator, order of operations, fractions, decimals, use of percentage, units of measurement including the metric system, the reading of analog instruments for length measurement, and practical plane geometry.
Total Credits
1
Prior Learning Assessment
  • Exam-College Developed Challenge Exam
Course Competencies
  1. Perform basic mathematical operations
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you perform addition applied to whole numbers
    you perform subtraction applied to whole numbers
    you perform multiplication applied to whole numbers
    you perform division applied to whole numbers
    you perform exponentiation applied to whole numbers
    you perform combinations of these operations applied to whole numbers according to the standard order of operation rules
    you recognize explicit grouping symbols in performing calculations
    you use explicit grouping symbols in performing calculations
    you recognize implicit grouping symbols (fraction bar, radical symbol, etc) in performing calculations
    you use implicit grouping symbols (fraction bar, radical symbol, etc) in performing calculations
    you use a scientific calculator to compute expressions that involve addition, subtraction, multiplication, division, exponentiation or combinations of these according to the standard order of operation rules

  2. Apply basic mathematical operations in solving word problems
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you translate a verbally stated problem into performing an equivalent computation
    you interpret the computed answer to a word problem
    you check the reasonableness of a computed answer to a word problem

  3. Perform basic mathematical operations with fractions
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you determine if fractions are equivalent
    you compare the magnitude of different fractions
    you express improper fractions as mixed numbers and vice versa
    you reduce fractions to lowest terms
    you perform multiplication, division, addition, subtraction, or combinations of these operations with fractions according to the standard order of operations
    you use a scientific calculator to check calculations involving fractions
    you use a scientific calculator to enter calculations involving fractions

  4. Use fractions in solving word problems
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you translate a verbally stated problem into performing an equivalent computation involving fractions
    you interpret the computed answer to a word problem
    you check the reasonableness of a computed answer to a word problem

  5. Perform basic mathematical operations with decimal numbers
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you convert fractions into decimals
    you convert terminating decimals into fractions
    you perform addition, subtraction, multiplication, division, exponentiation, root taking or combinations of these operations with decimal numbers according to the standard order of operation rules
    you recognize signed decimal numbers
    you use signed decimal numbers
    you recognize decimal numbers expressed in scientific notation
    you use decimal numbers expressed in scientific notation
    you 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

  6. Use decimal numbers in solving word problems
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you translate a verbally stated problem into performing an equivalent computation
    you interpret the computed answer to a word problem
    you check the reasonableness of a computed answer to a word problem

  7. Perform basic mathematical operations with numbers expressed as percents
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you convert fractions or decimals into percentages and vice versa
    you solve percent problems for the missing variable (amount, base, or percentage)
    you use a scientific calculator to compute the answer to percent problems

  8. Use percents in solving word problems
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you translate a verbally stated application involving percentages into performing an equivalent computation
    you solve percent problems that arise in personal finance
    you interpret the computed answer to a word problem
    you check the reasonableness of a computed answer to a word problem

  9. Perform calculations with quantities having units of measure
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you perform addition, subtraction, multiplication, division, exponentiation, root taking or combinations of these operations for quantities expressed as measurements
    you perform expresses the answer with the appropriate units
    you use a scientific calculator to compute the answer to problems involving measured quantities

  10. Convert measurements within the English system of units
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you set up unit fractions to convert measurements from one unit to another
    you use unit fractions to convert measurements from one unit to another
    you convert area measurements to different square and cubic units of length measure
    you convert volume measurements to different square and cubic units of length measure

  11. Convert measurements within the metric system of units
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you use the prefixes in the metric system to convert measurements within the metric system
    you set up unit fractions to convert measurements from one unit to another
    you use unit fractions to convert measurements from one unit to another
    you convert metric area measurements to different metric square and cubic units of length measure
    you convert volume measurements to different metric square and cubic units of length measure

  12. Convert measurements between the metric and English systems
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you set up unit fractions to convert measurements from specified English units to specified metric units
    you use unit fractions to convert measurements from specified English units to specified metric units
    you set up unit fractions to convert measurements from specified metric units to specified English units
    you set uses unit fractions to convert measurements from specified metric units to specified English units

  13. Read measurements from both metric and English micrometers
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you read an English Vernier micrometer to the nearest .00001 inches
    you read a common metric micrometer to the nearest .001 mm

  14. Use and compute angle measurements
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you label angles in a diagram
    you interpret diagrams with labeled angles
    you convert decimal degrees into DMS notation and visa versa
    you perform DMS to DD conversions on a scientific calculator
    you perform DD to DMS conversions on a scientific calculator
    you use properties of parallel and intersecting lines and polygons to solve for missing angles in a figure

  15. Use properties of triangles and other polygons
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you identify polygons (triangles, quadrilaterals and hexagons)
    you identify special cases of triangles (isosceles, equilateral, right)
    you identify quadrilaterals (rectangles, squares, parallelograms, trapezoids)
    you solves for missing angles in a triangle and polygon
    you solves for missing sides in a triangle and polygon
    you recognizes the rules of congruence (SAS, ASA, SSS) for triangles
    you uses the rules of congruence (SAS, ASA, SSS) for triangles

  16. Perform calculations using the Pythagorean Theorem
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you use the Pythagorean Theorem to solve for any missing side of a right triangle
    you determine the height of an isosceles triangle with given sides by dropping a perpendicular and using the Pythagorean Theorem
    you use a scientific calculator to perform calculations involving the Pythagorean Theorem

  17. Calculate perimeters and areas of closed planar figures
    Assessment Strategies
    in the solution to a problem on a quiz, homework, project or exam
    Criteria
    you compute (given sufficient data) the perimeters and areas of rectangles
    you compute (given sufficient data) the perimeters and areas of triangles
    you compute (given sufficient data) the perimeters and areas of parallelograms
    you computes (given sufficient data) the perimeters and areas of trapezoids
    you computes (given sufficient data) the perimeters and areas of regular hexagons
    you correctly uses a scientific calculator to compute the area of a triangle (given the lengths of its sides) from Heron's formula
    you computes the area of a circle given its radius or diameter
    you computes the circumference of a circle given its radius or diameter