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  1. A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x2. The output of a function f corresponding to an input x is denoted by f(x) (read "f of x").

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  2. Jul 6, 2020 · Guidance for teaching mathematics at key stages 1 and 2 to help pupils progress through the national curriculum.

    • CORE Representations
    • Language Structures
    • Making Connections
    • Assessment
    • Applying The Guidance in Your School

    The guidance outlines a core set of representations that have been selected to expose important mathematical structures and ideas, and make them accessible to pupils. Consistent use of the same representations across all year groups will help pupils to connect prior learning to new learning. For example, the use of tens frames and counters is exten...

    The guidance includes ‘Language focus’ features – emphasising the importance of the development and use of precise and accurate mathematical language. The language focus boxes provide suggested sentence structures for pupils to use to capture, connect and apply important mathematical ideas. Once pupils have learnt to use a core sentence structure, ...

    The guidance also includes ‘Making connections’ features that discuss important connections between ready-to-progress criteria within a year group. For example, here in the Year 1 guidance links are made between counting fluently and sequencing in multiples of 2, 5 and 10.

    Example assessment questions are provided for each ready-to-progress criterion. These questions demonstrate the depth and breadth of understanding that pupils need to be ready to progress to the next year group.

    There’s lots of support on the NCETM website on how you can apply the guidance in your school. They suggest that you begin by watching the introductory video for an overview, followed by the video for your particular year group that summarises all the ready-to-progress criteria relevant to that year. Then go to the chapter in the guidance document ...

  3. Jan 26, 2021 · Cambridge International’s definition: presenting evidence to justify or challenge a mathematical idea or solution. Developing mathematical reasoning involves trying to convince yourself and then someone else.

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  4. Simplify the definitions to make sure each pupil in your class understands what a term means. Ask questions to check their understanding. Revise, revise and revise! Use vocabulary games and word cards to help children go over the definitions of key terms, which they might have forgotten.

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  5. Explore a comprehensive math glossary containing common mathematical symbols and terms with their LaTeX representations and brief explanations. An essential reference for students, teachers, and professionals to quickly understand and use mathematical concepts and notation.

  6. Illustrated Mathematics Dictionary. Easy-to-understand definitions, with illustrations and links to further reading. Browse the definitions using the letters below, or use Search above.

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