Grade
11 - 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:
- use a variety of scales
to measure accurately
- use scale and proportion
appropriately when sketching
- apply rounding off and
estimating techniques to measurement
- convert between Imperial,
SI, and US units
- solve technical and drawing
problems using geometry, trigonometry, and algebra
SUGGESTED
INSTRUCTIONAL STRATEGIES
- Provide students with
a list of objects in the room and ask them to measure these objects in both
metric and Imperial units. Discuss soft and hard conversion issues.
- Supply students with
a floor plan for a house and have them:
- estimate, then calculate
the area
- research current
market costs for construction
- determine the cost
per unit area of the house
- estimate the total
cost of building the house.
As a variant, supply plans
for a bookshelf and have students calculate the material requirements and
the cost of those materials.
- Give students information
about a residential building site (e.g., size, local zoning setbacks, easements)
and have them calculate the maximum allowable building footprint. Then, given
a 65% floor space ratio, have them calculate the maximum area of the building
on all floors.
- Have students draw objects
of various shapes (e.g., polygons, truncated prisms, cylinders) using parallel
or radial line development. Have students include laps for joining and cut
out the shapes to produce three-dimensional representations. This activity
could be incorporated into the design of an environmentally sustainable container.
- Introduce the use of
a scale ruler to illustrate how a scale drawing has been prepared. Have students
measure an existing drawing and reproduce it at a different scale.
SUGGESTED
ASSESSMENT STRATEGIES
- Give students a drawing
that is dimensioned in fractions. Ask them to convert the fractions to decimals.
Check all converted measurements for accuracy and compatibility with other
measurements on the drawing. Assessment of conversions, measurements, estimates,
and calculations should focus on the extent to which students:
- select appropriate
procedures and operations (i.e., appropriateness in relation to context,
intended purposes, required types of result)
- correctly apply the
procedures (have students show their work or explain their thinking by
giving demonstrations)
- achieve correct (or
reasonable) results.
- Review students' work
in solving measurement problems. Based on the interpretation of measurements
from a blueprint or 3D sketch, note that students are able to:
- calculate the cost
of a design
- solve various types
of problems.
RECOMMENDED
LEARNING RESOURCES
Print
Materials
- Applying AutoCAD 2000
- Architecture: Drafting
and Design
- Architecture: Residential
Drawing and Design
- Basic Technical Drawing
- British Columbia Building
Code
- Canadian Wood-Frame House
Construction
- Engineering Drawing and
Design
- Exploring Drafting
- 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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