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Maths

Intent:
Mathematics is a vital life skill that will support pupils’ success in their future.  Mathematics at Woolston Brook School strives to develop problem solving and reasoning skills by building self-esteem and confidence. 
Mathematics aims to develop a deep understanding of concepts with high expectations of each individual student. 
New mathematical concepts are introduced using a ‘Concrete, Pictorial and Abstract’ approach; enabling all pupils to experience hands-on learning when discovering new mathematical topics, and allowing them to have clear models and images to aid their understanding. Our focus is to make learning relate to real life situations as much as possible, and support students to achieve qualifications. Teachers plan coherent and well sequenced lessons that will bring mathematics to life. 
Implementation:
⦁    Basic Maths skills are taught daily. Focusing on key mathematical skills including place value, the four operations, fractions, decimals and percentages
⦁    A range of reasoning resources are used to challenge all pupils and give them the opportunity to reason
⦁    Interventions are used to ensure we are bridging the gaps of learning with TA scaffolding and guiding student towards successful outcomes
⦁    Pupils are taught adaptive lessons that are coherently planned
⦁    Lessons use a Concrete, Pictorial and Abstract approach to guide pupils through their understanding of mathematical processes. 
⦁    Students are encouraged to be a part of their progress by marking their work alongside a member of staff and getting verbal feedback where appropriate
⦁    Where possible, links are made with other subjects in a cross curricular approach with real life learning examples made readily available
⦁    (KPI’s) specific to each year group to ensure progress and target areas for support. 

Impact:
As a result of our Maths teaching at Woolston Brook you will see:
⦁    Engaged pupils who are all challenged appropriately for their individual need
⦁    Confident pupils who can all talk about Maths and their learning and the links between Mathematical topics
⦁    Lessons that use a variety of resources to support learning
⦁    Different representations of mathematical concepts
⦁    Learning that is tracked and monitored to ensure all pupils make good progress 

Mathematics All Years
KS2
Students that are working between a year 2 and year 4 level are prioritising the basics of mathematics. Using a mastery approach, students will use a concrete – pictorial – abstract model so they are able to ‘fill in the gaps’ of learning with confidence. We use a visual and hands-on learning style that allows students to explore mathematical concepts through great resources. Alongside this we are focusing on self esteem and confidence with maths as there is often previous anxieties relating to maths to overcome. Learning to learn is also a key component in the kst2 curriculum. 
Year 7,8 & 9 (Kst 3)
The skills that students have learnt are utilised in a more secondary based curriculum, with specialist teachers for all subjects. The learning to learn and how to interact in a learning environment is built on to increase the capacity of the students to access a wider and more diverse curriculum. 
Specifically in maths, students use all of the skills from previous years, but begin to reason and problem solve as well. Students will be able to communicate why the concept works and how to use it effectively. They will also be able to apply their knowledge and skills to everyday problems including word problems. At this ability range, students will begin to look at the Entry Level work and assess their potential to gain qualifications. Our intent is to make sure every student has been given the opportunity to sit an entry level exam by the end of year 9. 
Year 10 to 11 (Kst 4)
Combining the above skills and knowledge we support students to apply their knowledge to the real world. For example, being able to measure a room accurately for redecorating. We want all of our students to leave Woolston Brook able to do the functional skills of everyday life that involves mathematics. We also want them to leave confident enough with their mathematics skills so they are able to sit qualifications to support them with employment and/or further education. The suite of qualifications range from Entry Level Certificates and Functional Skills Entry level. This leads on to the option for a GCSE in Mathematics.
 

Mathematics Curriculum Overview  

Y 3 

Autumn Term 

Spring Term 

Summer Term 

  

 

  • Place Value 

  • Addition & Subtraction 

  • Multiplication & Division A 

  • Multiplication & Division B 

  • Length & Perimeter 

  • Fractions A 

  • Mass & Capacity 

  • Fractions B 

  • Money 

  • Time 

  • Shape 

  • Statistics 

  • Consolidation 

Relationships: Pupils will explore relationships between number and operation. 

Communication: Pupils will explore worded questions asking relevant questions in paired work. 

Life skills: Pupils will explore real life maths. 

Independence: Pupils will practice monetary amounts and spending. 

 

Y 4 

Autumn Term 

Spring Term 

Summer Term 

  

 

  • Place Value 

  • Addition& Subtraction 

  • Area 

  • Multiplication & Division A 

  • Consolidation 

  • Multiplication & Division B 

  • Length & Perimeter 

  • Fractions 

  • Decimals A 

  • Decimals B 

  • Money 

  • Time 

  • Consolidation 

  • Shape 

  • Statistics 

  • Position & Direction 

 

Relationships: Pupils will explore Relationships between order and sequencing. 

Communication: Pupils will ask questions to consolidate their knowledge. 

Life skills: Pupils will explore length and perimeter- working on measures. 

Independence: Pupils will explore time and place it in real day situations. 

 

Y 5 

Autumn Term 

Spring Term 

Summer Term 

  

 

  • Place Value 

  • Addition & Subtraction 

  • Area 

  • Multiplication & Division A 

  • Fractions A 

  • Multiplication & Division B 

  • Fractions B 

  • Decimals & Percentages 

  • Perimeter & Area 

  • Statistics 

  • Shape 

  • Position & Direction 

  • Decimals 

  • Negative Numbers 

  • Converting Units 

  • Volume 

 

Relationships: Pupils will explore relationships between data and what it tells us. 

Communication: Pupils will ask peers questions to gain data for statistics. 

Life skills: Pupils will explore converting units. 

Independence: Pupils will continue to work on worded questions. 

Y 6 

Autumn Term 

Spring Term 

Summer Term 

  

  Relationships: 

Communication: 

Life skills: 

Independence: 

  • Place Value 

  • Addition, Subtraction, Multiplication & Division 

  • Fractions A 

  • Fractions B 

  • Converting Units 

  • Ratio 

  • Algebra 

  • Decimals 

  • Fractions, Decimals & Percentages 

  • Area, Perimeter & Volume 

  • Statistics 

  • Shape 

  • Position & Direction 

  • SATs Revision 

  • Themed Projects, Consolidation & Problem Solving 

 

Relationships: Pupils will explore relationships between Fractions, Decimals and percentages. 

Communication: Pupils will work in small groups on themed projects discussing content. 

Life skills: Pupils will explore problem solving questions. 

Independence: Pupils will work on themed projects. 

Yr 7 

Autumn Term 

Spring Term 

Summer Term 

   

 

Algebraic Thinking: 

  • Sequences 

  • Understand & use Algebraic Notation 

  • Equality & Equivalence 

  

Place Value & Proportion: 

  • Place Value & Ordering Integers & Decimals 

Applications of Number: 

  • Solving problems with addition & subtraction 

  • Solving Problems with multiplication and division 

  • Fractions & percentages of amounts 

  

Directed Number: 

  • Operations & equations with directed number 

  

Fractional thinking: 

  • Addition & subtraction of fractions 

Lines & Angles: 

  • Constructing, Measuring & using geometric notation 

  • Developing geometric reasoning 

  

Reasoning with number: 

  • Developing number sense 

  • Sets & probability 

  • Prime numbers & Proof 

 Relationships: Pupils will explore relationships between equality and equivalence 

Communication: Pupils will work in pairs and discuss working with angles and develop geometric reasoning. 

Life skills: Pupils will explore constructing, measuring and notation. 

Independence: Pupils will continue to explore solving problems in the application of number. 

Yr 8 

Autumn Term 

Spring Term 

Summer Term 

   

 

Proportional Reasoning: 

  • Ratio & scale 

  • Multiplicative change 

  • Multiplying & dividing fractions 

  

Representations: 

  • Working in the Cartesian plane 

  • Representing Data 

  • Tables & Probability 

Algebraic techniques: 

  • Brackets, equations & inequalities 

  • Sequences 

  • Indices 

  

Developing Number 

  • Fractions & percentages 

  • Standard Index Form 

  • Number Sense 

Developing Geometry: 

  • Angles in Parallel lines & Polygons 

  • Area of trapezia & circles 

  • Line symmetry & reflection 

  

Reasoning with data: 

  • Data handling cycle 

  • Measures of location 

 

Relationships: Pupils will explore the relationships between Ratio and Scale. 

Communication: Pupils will discuss reasoning with data. 

Life skills: Pupils will explore working with the Cartesian plane. 

Independence: Pupils will continue to explore tables and probability. 

 

 Yr 9 

Autumn Term 

Spring Term 

Summer Term 

  

Reasoning with Algebra: 

  • Straight line graphs 

  • Forming & solving equations 

  • Testing conjectures 

  

Constructing in 2 & 3 dimensions: 

  • 3 Dimensional shapes 

  • Constructions & congruency 

Reasoning with number: 

  • Numbers 

  • Using percentages 

  • Maths & Money 

  

Reasoning with Geometry: 

  • Deduction 

  • Rotation & translation 

  • Pythagoras Theorem 

Reasoning with Proportion: 

  • Enlargement & Similarity 

  • Solving ratio & proportion problems 

  • Rates 

  

Representations & revision: 

  • Probability 

  • Algebraic representation 

  • Revision

Relationships: Pupils will explore relationships between 2D and 3d dimensions. 

Communication: Pupils will explore and discuss deduction in peer groups. 

Life skills: Pupils will be taught to use Pythagoras Theorem. 

Independence: Pupils will explore reasoning with proportion. 

Y 10 

Autumn Term 

Spring Term 

Summer Term 

  

Similarity: 

  • Congruence, similarity & enlargement 

  • Trigonometry 

  

Developing Algebra: 

  • Representing solutions of equations & Inequalities 

  • Simultaneous equations 

Geometry: 

  • Angles & Bearings 

  • Working with circles 

  • Vectors 

  

Proportions & Proportional change: 

  • Ratios & fractions 

  • Percentages & interest 

  • Probability 

Delving into Data: 

  • Collecting, Representing & interpreting data 

  

Using number: 

  • Non - Calculator methods 

  • Types of number & sequences 

  • Indices & Roots 

  

Expressions: 

  • Manipulating Expressions 

 

Relationships: Pupils will explore relationships between Angles and bearings. 

Communication: Pupils will delve into data interpreting data. 

Life skills: Pupils will explore non-calculator methods. 

Independence: Pupils will continue to explore the 7 areas 

Y 11 

Autumn Term 

Spring Term 

Summer Term 

  

Graphs: 

  • Gradients & lines 

  • Non – Linear graphs 

  • Using graphs 

  

Algebra: 

  • Expanding & Factorising 

  • Changing the subject 

  • Functions 

Reasoning: 

  • Multiplicative 

  • Geometric 

  • Algebraic 

  

Revision & Communication: 

  • Transforming & Constructing 

  • Listing & describing 

  • Show That…. 

  • Revision 

  • Examinations 

Relationships: Pupils will explore the relationships between expanding and factorising. 

Communication: Pupils will explore tasks such as listening and describing and show that. 

Life skills: Pupils will continue be taught revision skills. 

Independence: Pupils will continue to revise for examination. 

Assessment 

 CAT4 

KS2 

Peer and self – evaluation, NFER, Pre / Post-tests, SATs 

KS3 

Pear and self-evaluation, Pre / Post-tests, End of term Assessments, Entry Level 

  

  

  

KS4 

Entry Level 

Functional Skills 

GCSE Assessment Objectives: 

A01 - Use and apply standard techniques (Weighting F = 50%, H = 40%) 

Learners should be able to:  

  • Accurately recall facts, terminology and definitions 

  • Use and interpret notation correctly 

  • Accurately carry out routine procedures or set tasks requiring multi-step solutions. 

AO2 – Reason, interpret and communicate mathematically (Weighting F = 25%, H = 30%) 

 Learners should be able to: 

  • Make deductions, inferences and draw conclusions from mathematical information 

  • Construct chains of reasoning to achieve a given result 

  • Interpret and communicate information accurately 

  • Present arguments and proofs 

  • Assess the validity of an argument and critically evaluate a given way of presenting information.  

Where problems require learners to ‘use and apply standard techniques’ or to independently ‘solve problems’ a proportion of those marks should be attributed to the corresponding Assessment objective. 

AO3 – Solve problems within mathematics and in other contexts (Weighting F = 25%, H = 30%) 

Learners should be able to: 

  • Translate problems in mathematical or non-mathematical contexts into a process or a series of mathematical processes 

  • Make and use connections between different parts of mathematics 

  • Interpret results in the context of the given problem 

  • Evaluate methods used and results obtained 

  • Evaluate solutions to identify how they may have been affected by assumptions made.  

Where problems require learners to ‘use and apply standard techniques’ or to ‘reason, interpret and communicate mathematically’ a proportion of those marks should be attributed to the corresponding Assessment objective. 

Opportunities to develop Emotional Literacy Skills across the year 

  • Promote the pupils’ co-operation with others; 

  • Create situations for children in Maths classes to do positive peer evaluation and peer mentoring 

  • Positive reinforcement building self-confidence and self-esteem 

  • Create a safe environment where pupils are allowed to make mistakes without fear of failure and improve their risk taking. 

  • Using empathy when talking about others work and when working together in group activities. 

Opportunities for Learning through reading across year 

  • GCSE Bitesize Maths 

  • My Maths 

  • Dr Frost 

  • Use of laptops for research and for practising ICT in maths 

  • Problem solving / puzzles 

Careers and cross curricular links 

  • Aspiration Visit to Edge Hill University - Linked with careers, ICT 

  • Charts / graphs - linked with Geography, Science, ICT, PE, Employability 

  • Money /Percentages /Decimals / Fractions - linked to Employability, Careers 

  • Tuck Shop – linked to finance, careers 

  • Chess tournament / games – linked to PE 

  • Research of other mathematicians - Linked to LGBTQ, Black History Month, Art 

  • Discussion work 

  • Cultural awareness 

  • Social awareness 

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