Mathematics
Mathematicians who made a difference: Albert Einstein, Alan Turning, Marjorie Lee Brown
Intent
At Weeth School, we intend to provide a mathematics curriculum which caters for the needs of all children to give them the necessary core skills and knowledge to be successful in the future. We believe mathematics equips children with a set of powerful skills to understand and interpret themselves, each other, the world around us and how it works. These skills include identifying problems, logical reasoning, solving problems, working systematically and logically, having the ability to think in abstract ways and having the ability to reflect and evaluate. Not only is mathematics vital for everyday life, it is integral to all aspects of life. Therefore, to prepare our children for the wider world, our mathematics curriculum encompasses some of the core competencies at the heart of social and emotional learning. With this in mind, Weeth endeavours to ensure that children develop a positive and enthusiastic mindset towards mathematics that will stay with them for life.
Through our maths teaching, we strive for all of our children to become fluent in the key concepts underpinning number and to develop their mathematical reasoning by recognising relationships, making generalisations and proving their thinking using a range of appropriate mathematical vocabulary. This starts in our foundation stage where the emphasis is on being secure in number recognition laying firm foundations for future learning. In addition to this, we aim for the children to develop their self-confidence, motivate themselves, communicate effectively and to be resilient when faced with challenges.
Our expectation is that the majority of children will move through the small steps at broadly the same pace. However, decisions about when to progress should always be based on the security of their understanding and their readiness to progress to the next stage. Children who grasp concepts rapidly are offered rich and sophisticated problems through Next Step Nows which deepen their learning. The questions are designed to challenge the children to apply their learning in a range of contexts of increased complexity. Those who are not sufficiently fluent with earlier material should consolidate their understanding through ‘Catch Up’, providing them with bespoke, additional practise.
We ensure that all children have the opportunity to reason to encourage curiosity and pose questions.
Implementation
We believe it is imperative that pupils move to the next stage of education not only with secure calculation strategies and number facts but that they also have a sound knowledge of the ‘the maths behind the maths’ – the ‘why.’
Throughout the school, our long term planning follows the National Curriculum. Consistency and continuity is ensured through the use of our Agreed Approach to Calculation Document which guides our children through the four operations from EYFS to Y6.
This approach:
- ensures consistency and progression in our approach to written calculations.
- makes teachers aware of the strategies that pupils are formally taught in each year group that will support them to preform mental and written calculations.
- supports teachers in identifying appropriate pictorial representations and concrete materials.
- ensures that children develop an efficient, reliable, formal written method of calculation for all operations.
- ensures that children can use these methods accurately with confidence and understanding.
The policy details the strategies. Teachers then plan opportunities for the children to apply these; for example, when solving problems, or where possible, opportunities somewhere else in the curriculum.
The journey of maths at Weeth begins in EYFS using a blend of Mastering Number and Power Maths which fully complement each other. Daily small group maths sessions take place through continuous provision with an additional 15-minute whole class session focusing on fluency. These are taught to develop subitising, cardinality, ordinality, counting, composition and comparison.
In KS1 the daily 45-minute maths lesson is taught using the White Rose scheme of learning with an additional 20 minutes of Mastering Number also taught, building on knowledge and understanding learned in EYFS. The pictorial representations used in White Rose Maths enables the children to demonstrate their mathematical ability.
In KS2 the daily 60-minute maths lesson is taught using the Power Maths scheme of learning with White Rose Maths supplementing the scheme, with an additional 15-minutes spent on fluency. Times Table Rockstars is used to motivate children to improve their recall facts. The real life contexts used in Power Maths are essential for the children in KS2 to apply their mathematical understanding within the wider world.
Teachers deliver the curriculum through small steps to ensure that lessons are sequential and build on prior learning. Formative assessment takes place throughout the lesson with immediate feedback given. Any misconceptions are promptly addressed either within the lesson, during individualised ‘Catch-Up’ sessions or if this is the majority, it becomes the focus of the next day’s lesson starter. If needed, more targeted interventions take place using Number Stacks. This pin points the specific gaps in the child’s understanding which are causing barriers to further progression.
We use manipulatives in all year groups as a useful tool to support children’s deep acquisition of concepts and representations in mathematics. We recognise the importance of moving the children from these manipulatives to more visual and written recordings at the earliest possible opportunity using the concrete, pictorial, abstract (CPA) approach so they can begin to independently internalise key mathematical ideas. Classroom displays are current to the block being taught and reinforce the CPA approach by including ‘Show it, draw it, explain it, prove it’ to prompt and assist learning. Stem sentences and key vocabulary are also displayed to facilitate reasoning.
Mathematics Overview
Autumn 1 | Autumn 2 | Spring 1 | Spring 2 | Summer 1 | Summer 2 | |
FS2 | Number: Numbers to five
Number: Comparing groups within 5 Shape: 3D and 2D shapes
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Number: Change within 5
Number: Number bonds within 5 Space |
Number: Numbers to 10
Number: Comparing numbers within 10 Number: Addition to 10 Measure: Length, height and weight
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Number: Bonds to 10
Number: Subtraction Shape: Exploring patterns
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Number: Counting on and counting back
Number: Numbers to 20 Number: Numerical patterns Shape: Composing and decomposing shapes |
Measure: Volume and Capacity
Sorting Measure: Time |
Year 1 | Number: Place Value within 10
Number: Addition and Subtraction within 10 |
Geometry: Shape
Number: Place Value within 20 Consolidation |
Consolidation
Number: Addition and Subtraction within 20 Number: Place Value within 50 |
Number: Place Value within 50
Measurement: Length and Height Measurement: Weight and Volume Consolidation
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Consolidation
Number: Multiplication and Division Number: Fractions Geometry: Position and Direction |
Number: Place Value within 100
Measurement: Time Measurement: Money |
Year 2 | Number: Place Value numbers to 100
Number: Addition and Subtraction |
Number: Addition and Subtraction
Measurement: Money Number: Multiplication and Division |
Number: Multiplication and Division
Statistics: Measurement: Length and Height Geometry: Properties of Shape
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Geometry
Properties of Shape Number: Fractions Consolidation |
Measurement: Position and Direction
Number: Efficient Methods Measurement: Time Measurement: Mass, Capacity and Temperature Consolidation |
Year 3 | Number: Place Value within 1000
Number: Addition and Subtraction |
Number: Addition and Subtraction
Number: Multiplication and Division |
Number: Multiplication and Division
Measurement: Money Statistics |
Measurement: Length and Perimeter
Number: Fractions Consolidation |
Number: Fractions
Measurement: Time
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Geometry: Properties of Shape
Measurement: Mass and Capacity
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Year 4 | Number: Place Value four-digit numbers
Number: Addition and Subtraction |
Number: Addition and Subtraction
Measurement: Length and Perimeter Number: Multiplication and Division |
Number: Multiplication and Division
Measurement: Area Number: Fractions |
Number: Fractions
Number: Decimals Consolidation |
Number: Decimals
Measurement: Money Measurement: Time |
Statistics
Geometry: Properties of Shape Geometry: Position and Direction Consolidation
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Year 5 | Number: Place value within 1,000,000
Number: Addition and subtraction Statistics: Graphs and tables |
Statistics: Graphs and Tables
Number: Multiplication and Division Measurement: Perimeter and Area
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Number: Multiplication and Division
Number: Fractions |
Number:
Fractions Number: Decimals and Percentages Consolidation |
Consolidation
Number: Decimals Geometry: Properties of shape
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Geometry: Properties of shape
Geometry: Position and Direction Measurement: Converting Units Measurement: Volume
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Year 6 | Number: Place Value with 10,000,000
Number: Four Operations
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Number: Fractions
Geometry: Position and Direction Consolidation |
Number: Decimals
Number: Percentages Number: Algebra
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Measurement: Converting Units
Measurement: Perimeter, Area and Volume Number: Ratio Statistics
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Geometry: Properties of Shape
Consolidation |
Investigations and preparation for KS3 |