Grade
12 - Mathematical Applications
This organizer contains the
following sections:
Prescribed Learning Outcomes
Suggested Instructional Strategies
Suggested Assessment Strategies
Recommended Learning Resources
PRESCRIBED
LEARNING OUTCOMES
It is
expected that students will:
- apply a variety of scales
to reduce or enlarge object size for technical drawings
- demonstrate proficiency
in rounding off and estimating techniques to measurement
- demonstrate fluency in
Imperial, SI, and US units
- solve advanced technical
problems using geometry, trigonometry, and algebra
- use mathematical formulae
to develop technical drawings
SUGGESTED
INSTRUCTIONAL STRATEGIES
- Supply students with
un-dimensioned house plans. Ask students to dual dimension the plans, using
both metric and Imperial measures.
- Have students work in
small groups to:
- research the sizes
of standard residential home spaces
- compile their information
to create a chart showing average sizes.
- Have students measure
authentic objects and then determine the appropriate scale to complete the
drawing.
- Have students calculate
stair-tread rise-and-run and space requirements based on approved building
code given the distance between floors.
- Utilizing building code
specifications and local framing materials, supply students with a floor plan
and information on the current costs of structural (framing) materials. Have
students estimate the number of joists required for construction and calculate
the cost of the materials.
- Provide students with
a given span and various pitch angles. Ask them to design and draw a series
of roofs.
- Give students a drawing
of a garden shed and have them develop a list of all the materials required
for construction. Given materials costs, students can then calculate the cost
of the structure.
- Have students draw a
detailed representation of a spur gear, utilizing relevant formulae.
SUGGESTED
ASSESSMENT STRATEGIES
- As students work on problems
involving the costs of construction or manufacturing, assess their abilities
to:
- estimate the total
cost of a building or object based on current market conditions
- estimate changes
in cost as size, materials, or other items change.
- Have students use a variety
of measuring instruments to record information required to produce drawings.
Assess students' ability to:
- choose the correct
measuring instrument
- measure accurately.
- Assess the accuracy of
students' solutions when they employ complex formula calculations.
RECOMMENDED
LEARNING RESOURCES
Print
Materials
- Applying AutoCAD 2000
- Architecture: Drafting
and Design
- Architecture: Residential
Drawing and Design
- British Columbia Building
Code
- Canadian Wood-Frame House
Construction
- Engineering Drawing and
Design
- Freehand Sketching for
Engineering Design
- Mechanical Drawing CAD
- Communications
- National Housing Code
of Canada
Software
- AutoCAD 2000i
- AutoCAD LT 2000i
- Autodesk Inventor 4
- Chief Architect V7.0
- RenderWorks
- SolidBuilder Q1 2001
- Solid Edge
- VectorWorks
CD-ROM
- Architectural Graphic
Standards (also available in print)
- CADDEX AutoCAD R2000
Resource Library
©
Copyright 2001. All Rights Reserved. Curriculum Branch.
Maintained by: Technology Education Coordinator
Last Modified: January 2002
BC
Ministry of Education Home Page
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