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Children develop an understanding of relationships between/within concepts.

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The way you approach and conquer the problem 

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The way you approach and conquer the problem 

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Deep understanding on the skill that is being learnt

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A deepened understanding, as children experience more complex mathematical ideas.

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Add different concepts, add more challenging work

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Logical reasoning is the use of their knowledge and applying their skills.

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Logical reasoning is the use of their knowledge and applying their skills.

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Being able to explain their chosen method and or teach it to someone else. 

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Being able to explain their chosen method and or teach it to someone else. 

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Learners can represent reasoning in multiple ways.

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Understanding symbols and using them accurately. Being able to use symbols in the real world. 

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Understanding symbols and using them accurately. Being able to use symbols in the real world. 

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Logical reasoning is using you understanding of another mathematical concept to aid you in the acquisition of new strategies.

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Logical reasoning is using you understanding of another mathematical concept to aid you in the acquisition of new strategies.

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Making connections quickly - finding ways to use and apply what they know accurately and in a range of contexts

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Become quicker and comes at ease

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Logical reasoning means learners apply their knowledge through different mathematical concepts.
Reasoning allows the learners to justify and prove their knowledge

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Being able to explain and show others how they came to their answer. Also using different methods confidently.

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The ability to formulate and solve mathematical problems

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Taking on more challenging mathematical questions with relative ease. 

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Taking on more challenging mathematical questions with relative ease. 

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Becoming more of an expert at skills and mastering them

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Using their understanding they deepen and connect their learning with others.

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To interlink and apply what you have learned 

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To interlink and apply what you have learned 

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Understanding in maths should be reinforced, deepened and applied in different concepts

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Deepening understanding and bringing abstract concepts to life

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Showing multiple ways of working out a problem or calculation.

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Fluency to me, means ease of use, it should become if not automatic then not overly intensive to use. 

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Fluency to me, means ease of use, it should become if not automatic then not overly intensive to use. 

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Doing automatically

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In the beginning they may just be able to recognise them, use them in isolation, understand the relationships between them e.g inverse

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Understanding symbols allows you to answer the question

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They apply different concepts and relationships together

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Understanding what mathematical symbols represent and how they can be used to communicate calculations/concepts
- GD

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Fluency means that children can use and apply their skills and knowledge in a variety of situations. They can select and choose appropriate mathematics and techniques to use. 

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Fluency means that children can use and apply their skills and knowledge in a variety of situations. They can select and choose appropriate mathematics and techniques to use. 

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Fluency takes time, it allows the learning to grow with different concepts.

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Understanding terminology on what symbols are, and using them correctly in their own works.

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Understanding terminology on what symbols are, and using them correctly in their own works.

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Showing how to workout a calculation.

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Using addition, subtraction, multiplication and division and other symbols in meaningful ways. Understanding the relationships between them. Understand they have different names and different outcomes

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Use multiple methods of language effectively in their learning

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Expressing maths using symbols

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Learning and using mathematical shorthand’s to express meaning and concepts.

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Learning and using mathematical shorthand’s to express meaning and concepts.

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Learners understand what different symbols mean.
Symbols have different ‘names’ but have the same meaning.