Grade 12 - Mathematical Applications

PRESCRIBED LEARNING OUTCOMES

• demonstrate proficiency in using a variety of measuring instruments, layout tools, and mathematical techniques to solve technical problems
  

SUGGESTED INSTRUCTIONAL STRATEGIES

• Provide students with the air-space requirements for a set of sub-woofers. Have students calculate the minimum cabinet size requirements for a rectangular speaker box. As an extension, have students change the shape to a wedge to fit behind the seat of a pick-up truck and calculate the new minimum size requirement for the sub-woofers.
  
• Provide students with the plans for a simple house. Have students calculate how many square feet of siding would be required for the walls and gable ends. Students could also research how many boxes of a common style of vinyl siding would be required.
  
• Using a variety of measuring instruments, have students transfer accurate measurements to a layout rod or story pole.
  
  

SUGGESTED ASSESSMENT STRATEGIES

• As students gather information about a multiple-pulley drill press, observe to what extent they correctly identify the:
  • drive pulley sizes
    
  • driven pulley sizes
    
  • ratio of RPM increase or decrease
    
  • operating speed at each pulley setting.
    
• Have each student use a compass and rule to lay out the following shapes to prescribed sizes:
  • hexagon
  • octagon
    
  • right-angle triangle
  • rectangle
    
  • square
    
  • quarter circle.

  When assessing students' results, look for:

  • evidence that proper methods have been used to develop geometric shapes
  • regularity of the sides of each figure
    
  • adherence to the prescribed size parameter
    
  • completeness of work
    
  • neatness of work.
    
    

RECOMMENDED LEARNING RESOURCES

 Print Materials

• Applied Mathematics
• Modern Cabinetmaking
• Modern Woodworking
• Trades Common Core
• Wood Technology and Processes
• Working Wood
  

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