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    This is a one-year course offered to those students who have demonstrated a proficiency in mathematics in sixth grade and have exhibited an ability to use abstract thinking in solving problems.  The course will be structured to facilitate student learning by engaging students in problem-based learning structured around a core idea, via interactive groups to foster mathematical discourse communicating their thinking and understanding, and utilizing spaced practice with concepts and procedure to promote mastery over time.  The material covered in the accelerated course is presented at a faster pace with the expectation that the students have retained and can perform the above material with greater proficiency and on their own.  The accelerated course will include such topics as solving equations and inequalities, using the order of operations principles, applying rational numbers and integers to word problems, relating rates, proportions and percent, geometric concepts, and problem solving, developing spatial thinking skills.