[ARCHIVED CONTENT] Intervention and personalisation in mathematics

Lesson ideas to help you organise and monitor progression. This includes approaches you can use to reduce gaps in pupils’ performance through personalised support.

Intervention and personalisation in mathematics topics

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Mathematics (7)

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Using and applying mathematics progression map

You can use the 'Using and applying mathematics' (UAM) progression maps to help pupils develop the skills of logical reasoning, problem-solving and thinking in abstract ways. This is part of the progression maps which support intervention in secondary mathematics.
- Problem solving
  
  This progression map can be used to help pupils progress their problem solving skills in mathematics. A set of investigations and suggested approaches are provided throughout the ten steps to help you set the pitch of the work and help pupils work investigatively. This is part of the using and applying mathematics strand of the secondary mathematics progression maps.
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- Communicating
  
  This progression map can be used to help pupils progress their mathematical communication. A set of investigations and suggested approaches are provided throughout the ten steps to help you set the pitch of the work and help pupils work investigatively. This is part of the using and applying mathematics strand of the secondary mathematics progression maps.
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- Reasoning
  
  This progression map can be used to help pupils progress their logical reasoning skills in mathematics. A set of investigations and suggested approaches are provided throughout the ten steps to help you set the pitch of the work and help pupils work investigatively. This is part of the using and applying mathematics strand of the secondary mathematics progression maps.
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Number progression map

You can use these secondary mathematics progression maps to support the teaching of place value, ordering and rounding, mental calculation, written calculation, integers powers and roots, and fractions, decimals, percentages, ratio and proportion (FDPRP). Each progression map contains steps that offer objectives, examples of what pupils should know and be able to do, probing questions and suggestions for when pupils find those a barrier.
- Place value, ordering and rounding
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the number strand of the secondary mathematics progression maps.
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- Mental calculation
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the number strand of the secondary mathematics progression maps.
  - Step 1
  - Step 2
  - Step 3
  - Step 4
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  - Step 7
- Written calculation
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the number strand of the secondary mathematics progression maps.
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- Integers, powers and roots
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the number strand of the secondary mathematics progression maps.
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- FDPRP
  
  This progression map for fractions, decimals, percentages, ratio and proportion (FDPRP) contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the number strand of the secondary mathematics progression maps.
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Algebra progression map

You can use these secondary mathematics progression maps to support the teaching of equations, formulae and identities, and sequences, functions and graphs. Each progression map contains steps that offer objectives, examples of what pupils should know and be able to do, probing questions and suggestions for when pupils find those a barrier.
- Equations, formulae and identities
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the algebra strand of the secondary mathematics progression maps.
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- Sequences, functions and graphs
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the algebra strand of the secondary mathematics progression maps.
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Geometry and measures progression map

You can use these secondary mathematics progression maps to support the teaching of geometry and measures. Each progression map contains steps that offer objectives, examples of what pupils should know and be able to do, probing questions and suggestions for when pupils find those a barrier.
- Geometry
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the geometry and measures strand of the secondary mathematics progression maps.
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- Measures
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the geometry and measures strand of the secondary mathematics progression maps.
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Statistics progression map

You can use these secondary mathematics progression maps to support the teaching of handling data and probability. Each progression map contains steps that offer objectives, examples of what pupils should know and be able to do, probing questions and suggestions for when pupils find those a barrier.
- Handling data
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the statistics strand of the secondary mathematics progression maps.
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- Probability
  
  This progression map contains objectives and examples of what pupils should be able to do to help you identify the appropriate stages of pupils’ learning. Probing questions and suggestions for when pupils encounter a barrier to learning provided for each objective can be used to help pupils to progress. This is part of the statistics strand of the secondary mathematics progression maps.
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Targeting level 4 in Year 7 mathematics

Targeting level 4 in Year 7 materials provide a yearly teaching programme, covering key aspects of number, algebra, geometry and measures and statistics. They will help your pupils who enter Year 7 at level 3 to attain level 4 as quickly as possible. Units and lessons There are 15 units of work, with each unit containing a collection of lessons and resource materials. There are also an additional 12 lessons that can be used to consolidate learning.
- Geometry and measures
  
  Four units of lesson ideas focusing on the level 4 key learning objectives in the 'Geometry and measures' strand. Each of the four units contains a set of lessons on key themes that can be used throughout the academic year. This is part of the Targeting level 4 in Year 7 materials, which provide a yearly teaching programme to help Year 7 mathematics pupils attain level 4 as quickly as possible.
Lesson ideas

Read lesson ideas for number and calculation, algebra, geometry and measures, and statistics. These lesson ideas form part of a collection to support mathematics progression maps and secondary mathematics interventions.
- Lesson ideas
  
  Read lesson ideas for number and calculation, algebra, geometry and measures, and statistics. These lesson ideas form part of a collection to support mathematics progression maps and secondary mathematics interventions.