The New Jersey Assessment of Skills and Knowledge September 2012 Score Interpretation Manual Grades 3 to 8 which is applicable to all the parents students and private tutors at all three Math Genie abacus math for kids schools in New Jersey in the United States of America, continues on to state the following, quote -Proficient students in Mathematics Grade 5 understand that a quantity can be represented numerically in various ways. These students perform basic computational procedures. Proficient students apply geometric properties and spatial relationships. Proficient students use informal algebraic concepts and processes. Proficient students read, construct, and interpret data and graphs. They apply the concepts and methods of discrete mathematics. These students infer, reason, and estimate while problem solving. Proficient students are flexible in selecting a successful process or strategy.
These students demonstrate a basic understanding of mathematical concepts through written expression and/or symbolic representation. Advanced Proficient Students performing at the Advanced Proficient level consistently demonstrate the qualities outlined for Proficient performance. In addition, Advanced Proficient students analyze methods for appropriateness, synthesize processes, and evaluate mathematical relationships. Advanced Proficient students demonstrate conceptual understanding by consistently providing clear and complete explanations. These students demonstrate the ability to transfer mathematical concepts to other applications and successfully form conjectures. Mathematics Grade 6. Partially Proficient Sixth-grade students performing at the Partially Proficient level in mathematics demonstrate limited evidence of and/or an inability to communicate conceptual understanding of procedural and analytical skills. Partially Proficient students inconsistently apply mathematical skills and knowledge to theoretical and real world situations. These students struggle to integrate skills across the four mathematical content standards. Partially Proficient students may demonstrate some understanding of but inconsistently apply appropriate standard numerical operations.
These students may determine the reasonableness of an answer. Partially Proficient students have difficulty understanding and applying geometric concepts including properties, measurement, and special relationships. Partially Proficient students may inconsistently use simple algebraic concepts and processes. They inconsistently read, construct, and interpret data and graphs, determine probabilities of events, and may misapply the concepts and methods of discrete mathematics. Proficient Sixth-grade students performing at the Proficient level in mathematics demonstrate evidence of and communicate conceptual understanding of procedural and analytical skills. Proficient students apply mathematical skills and knowledge to theoretical and real world situations. In addition, these students integrate skills across the four mathematical content standards. Proficient students understand and apply appropriate standard numerical operations: an understanding for problem solving in practical situations- end quote.
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