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    188宝金博页面版: Key stage 3 - Sheffield Hallam University

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    内容提示： Key stage 3 Mathematics [During key stage 3 pupils take increasing responsibility for planning and executing their work. They extend their calculating skills to fractions, percentages and decimals, and begin to understand the importance of proportional reasoning. They are beginning to use algebraic techniques and symbols with confidence. They generate and solve simple equations and study linear functions and their corresponding graphs. They begin to use deduction to manipulate algebraic expressions. Pup...

    文档格式：DOC | 页数：11 | 浏览次数：62 | 上传日期：2016-03-22 13:12:13 | 文档星级：
    Key stage 3 Mathematics [During key stage 3 pupils take increasing responsibility for planning and executing their work. They extend their calculating skills to fractions, percentages and decimals, and begin to understand the importance of proportional reasoning. They are beginning to use algebraic techniques and symbols with confidence. They generate and solve simple equations and study linear functions and their corresponding graphs. They begin to use deduction to manipulate algebraic expressions. Pupils progress from a simple understanding of the features of shape and space to using definitions and reasoning to understand geometrical objects. As they encounter simple algebraic and geometric proofs, they begin to understand reasoned arguments. They communicate mathematics in speech and a variety of written forms, explaining their reasoning to others. They study handling data through practical activities and are introduced to a quantitative approach to probability. Pupils work with increasing confidence and flexibility to solve unfamiliar problems. They develop positive attitudes towards mathematics and increasingly make connections between different aspects of mathematics.] Knowledge, skills and understanding Teaching should ensure that appropriate connections are made between the sections on number and algebra, shape, space and measures, and handling data. Ma2 Number and algebra Using and applying number and algebra 1. Pupils should be taught to: Problem solving a) explore connections in mathematics to develop flexible approaches to increasingly demanding problems; select appropriate strategies to use for numerical or algebraic problems b) break down a complex calculation into simpler steps before attempting to solve it c) use alternative approaches to overcome difficulties and evaluate the effectiveness of their strategies d) select efficient techniques for numerical calculation and algebraic manipulation e) make mental estimates of the answers to calculations; use checking procedures to monitor the accuracy of their results Communicating f) represent problems and solutions in algebraic or graphical forms; move from one form of representation to another to get different perspectives on the problem; present and interpret solutions in the context of the original problem g) develop correct and consistent use of notation, symbols and diagrams when solving problems h) examine critically, improve, then justify their choice of mathematical presentation; present a concise, reasoned argument Reasoning [ ] = non-statutory guidance

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