Page 30 - The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007
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ACHIEVEMENT CHART: MATHEMATICS, GRADES 9–12
   Categories
  50−59% (Level 1)
 60−69% (Level 2)
70−79% (Level 3)
  80−100% (Level 4)
   Knowledge and Understanding – Subject-specific content acquired in each course (knowledge), and the comprehension of its meaning and significance (understanding)
  The student:
Knowledge of content
(e.g., facts, terms, procedural skills, use of tools)
demonstrates limited knowl- edge of content
demonstrates some knowledge of content
demonstrates considerable knowledge of content
demonstrates thorough knowl- edge of content
Understanding of mathematical concepts
demonstrates limited under- standing of concepts
demonstrates some under- standing of concepts
demonstrates considerable understanding of concepts
demonstrates thorough under- standing of concepts
 Thinking – The use of critical and creative thinking skills and/or processes*
  The student:
Use of planning skills
− understanding the problem (e.g., formulating and interpreting the problem, making conjectures)
− making a plan for solving the problem
uses planning skills with limited effectiveness
uses planning skills with some effectiveness
uses planning skills with considerable effectiveness
uses planning skills with a high degree of effectiveness
Use of processing skills
− carrying out a plan (e.g., collecting data, question- ing, testing, revising, modelling, solving, infer- ring, forming conclusions)
− looking back at the solution (e.g., evaluating reasonableness, making convincing arguments, reasoning, justifying, proving, reflecting)
uses processing skills with limited effectiveness
uses processing skills with some effectiveness
uses processing skills with considerable effectiveness
uses processing skills with a high degree of effectiveness
Use of critical/creative thinking processes (e.g., problem solving, inquiry)
uses critical/ creative thinking processes
with limited effectiveness
uses critical/ creative thinking processes
with some effectiveness
uses critical/ creative thinking processes with considerable effectiveness
uses critical/ creative thinking processes with a high degree of effectiveness
                         THE ONTARIO CURRICULUM, GRADES 11 AND 12 | Mathematics
* The processing skills and critical/creative thinking processes in the Thinking category include some but not all aspects of the mathematical processes described on pages 17−22 of this document. Some aspects of the mathematical processes relate to the other categories of the achievement chart.
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