Grade 11 - Mathematical Applications

It is expected that students will:

demonstrate the ability to use a variety of measuring instruments
demonstrate proficiency in using fractions and decimals to solve problems related to carpentry and joinery
convert between Imperial and SI units
solve technical problems using ratio, proportion, and geometry

Provide each student with a set of measurements (include both metric and non-metric systems of measure). Have each student lay out the distances using a variety of measuring instruments.
Provide students with a list of tasks involving measurement. Have students select the measuring
instrument(s) they need to complete each particular task, explaining the reason for their selection(s).
From a prescribed floor plan, have students in small groups of two or three lay out a basic kitchen at full scale.
Have students use given information about ratios, proportions, or geometric properties to calculate area, volume, and perimeter for a variety of geometric shapes that have an actual industrial application. Students then report their findings to the class.
Have students calculate the diagonal distance across various rectangles (i.e., using Pythagorean Theorem). Then have them lay out a rectangle (e.g., for speaker boxes), using a straight edge and trammel points.
Provide students with a list of projects. Have each student select a project and prepare a cost estimate of required materials.

SUGGESTED ASSESSMENT STRATEGIES

Use multiple-choice tests to determine students' proficiency in calculating various math problems involving:
- Pythagorean Theorem
- ratio and proportion.
During the early stages of assigned projects that require the use of mathematical calculation, question students and check their plans to ensure they have correctly identified and applied the needed mathematical operations.
Once students have 1) converted a metric drawing of a project to Imperial measure and 2) calculated the quantity of material required to build the project, evaluate the extent to which each student has:
- converted the measurements accurately
- accurately calculated the quantities of material needed
- arranged the information in a coherent and intelligible manner (e.g., neat, legible)
- provided complete information.

RECOMMENDED LEARNING RESOURCES

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Revised: December 2001