Performance Standards for Stage 2 Specialist Mathematics Mathematical Knowledge and Skills and Mathematical Modelling and Communication of Mathematical - Their Application Problem-solving Information A Comprehensive knowledge of content and Development and effective application of mathematical Highly effective communication of mathematical ideas understanding of concepts and relationships. models. and reasoning to develop logical arguments, especially proof in applied and theoretical contexts. Appropriate selection and use of mathematical Complete, concise, and accurate solutions to algorithms and techniques (implemented electronically mathematical problems set in applied and theoretical Proficient and accurate use of appropriate notation, where appropriate) to find efficient solutions to complex contexts. representations, and terminology. questions. Concise interpretation of the mathematical results in the Highly effective and accurate application of knowledge context of the problem. and skills to answer questions set in applied and In-depth understanding of the reasonableness and theoretical contexts, especially proof. possible limitations of the interpreted results, and recognition of assumptions made. Development and testing of valid conjectures, with proof. B Some depth of knowledge of content and understanding Attempted development and appropriate application of Effective communication of mathematical ideas and of concepts and relationships. mathematical models. reasoning to develop mostly logical arguments, including proof in applied and theoretical contexts. Use of mathematical algorithms and techniques Mostly accurate and complete solutions to mathematical (implemented electronically where appropriate) to find problems set in applied and theoretical contexts. Mostly accurate use of appropriate notation, some correct solutions to complex questions. representations, and terminology. Complete interpretation of the mathematical results in Accurate application of knowledge and skills to answer the context of the problem. questions set in applied and theoretical contexts, Some depth of understanding of the reasonableness including proof. and possible limitations of the interpreted results, and recognition of assumptions made. Development and testing of reasonable conjectures, with substantial attempt at proof.
Performance Standards for Stage 2 Specialist Mathematics - Mathematical Knowledge and Skills and Their Application Mathematical Modelling and Problem-solving Communication of Mathematical Information A Comprehensive knowledge of content and understanding of concepts and relationships. Appropriate selection and use of mathematical algorithms and techniques (implemented electronically where appropriate) to find efficient solutions to complex questions. Highly effective and accurate application of knowledge and skills to answer questions set in applied and theoretical contexts, especially proof. Development and effective application of mathematical models. Complete, concise, and accurate solutions to mathematical problems set in applied and theoretical contexts. Concise interpretation of the mathematical results in the context of the problem. In-depth understanding of the reasonableness and possible limitations of the interpreted results, and recognition of assumptions made. Development and testing of valid conjectures, with proof. Highly effective communication of mathematical ideas and reasoning to develop logical arguments, especially proof in applied and theoretical contexts. Proficient and accurate use of appropriate notation, representations, and terminology. B Some depth of knowledge of content and understanding of concepts and relationships. Use of mathematical algorithms and techniques (implemented electronically where appropriate) to find some correct solutions to complex questions. Accurate application of knowledge and skills to answer questions set in applied and theoretical contexts, including proof. Attempted development and appropriate application of mathematical models. Mostly accurate and complete solutions to mathematical problems set in applied and theoretical contexts. Complete interpretation of the mathematical results in the context of the problem. Some depth of understanding of the reasonableness and possible limitations of the interpreted results, and recognition of assumptions made. Development and testing of reasonable conjectures, with substantial attempt at proof. Effective communication of mathematical ideas and reasoning to develop mostly logical arguments, including proof in applied and theoretical contexts. Mostly accurate use of appropriate notation, representations, and terminology.