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Mathematics - Seventh & Eighth Grade Program..
MATHEMATICS 7
This course is the second in a series of three Middle Grade Math programs. Topics are aligned with the Vermont Grade Cluster Expectations with heavy emphasis on problem solving and conceptual understanding. Students work with real world, age appropriate data. The four basic operations are reviewed and applied in number theory, fractions, and percents. Extensive fraction application begins to prepare students for the transfer from concrete to abstract thought. Geometry and measurement is related to proportions and percents through exploration and discovery activities. Integers are used in basic operations and connected to fractions. Concepts in solid geometry are developed through scale drawings and proportional relationships. Students will be exposed to and begin to explore the patterns and language of algebra.
MATHEMATICS 8A
This course is an advanced and accelerated placement class for seventh graders. Topics are aligned with the Vermont Grade Cluster Expectations with heavy emphasis on problem solving and conceptual understanding. The main focus of the class is on the eighth grade concepts; however, the instructor will often include content from the seventh grade course to make a smooth transition to the curriculum for the next year. Students who excel in this class will be recommended for the Unified-A-1 class in eighth grade. The other students completing this course will be assigned to Mathematics 8.MATHEMATICS 8
This course is the last in a series of three Middle Grade Math programs. Topics are aligned with the Vermont Grade Cluster Expectations with heavy emphasis on problem solving and conceptual understanding. There is opportunity for remediation in basic operations with whole numbers, fractions, decimals, and percents. The main focus is on the logical crossover to algebraic concepts. Competencies with variables and equations are developed through applications to real life situations. Career exploration is naturally addressed through chapter exercises and themes. Problem solving is part of every unit, and students use skills in previously taught areas and current topics. Data analysis and statistics are developed and used in studying percents and equations. Students are encouraged to extend thinking beyond the concrete of arithmetic application and to discover and apply the logic of mathematical abstractions.UNIFIED-A-1
This course is an advanced and accelerated placement class designed to prepare students for Pre-Calculus and Calculus. Students who excel in this course will be recommended for the math honors sequence in high school. The other students who complete this course may either continue on as accelerated students in the math courses - 9th Graders taking 10th grade math, with the potential of taking Pre-Calculus as a Junior - or may be advised to take the Unified Math A-1 course as a 9th Grade student.Topics covered include: integers, first-degree equations and inequalities, triangular and circular geometry, perimeter, area and volume, polynomial factoring, rational and irrational algebraic expressions, congruence and similarity. The course also includes enrichment problems in these areas. Completion of the Unified Honors I course is equivalent to a traditional Algebra 9A course.
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