At Leigh Academy Rainham, students will follow an interweaving , hierarchical, inquiry-based mathematical curriculum, allowing students to explore Mathematics in a range of contexts; which then equips students with the knowledge and skills to solve and address problems in their everyday lives.

The Mathematics curriculum at Leigh Academy Rainham aims to provide all students with a rich, balanced and diverse curriculum. By this we mean that: all students are able to learn a range of mathematical knowledge and skills which equip them for real life contexts outside our academy. In addition, we aim to inspire our students to become global citizens whereby they can apply their mathematical learning so that they are able to reason and problem solve, not only in their own subject area but in the hope to transfer their knowledge to other curriculum subjects and careers. 

This is underpinned by the National Curriculum and the iB framework. Our curriculum is more ambitious than the national curriculum as it provides students opportunities to undertake inquiry-based learning, whereby students of various attainment levels can ask questions about their learning, ranging from factual, conceptual and debatable questions, promoting the inquisitiveness about the role of Mathematics in the 21st century. 

With the development and innovation of modern technology, it is essential we give students the tools to be able to communicate effectively and efficiently. This allows students to become upskilled digitally to help them in their future learning and careers. In order for students to understand the importance of their Mathematics it is vital the curriculum allows students to practise the ethos of the school and develop their Leadership, Emotional Intelligence, Inquisitiveness, Grit and Humility. If the curriculum is ambitious and rigorous, students will have the chance to show resilience and determination. Our curriculum will give students the opportunity to be responsible for their own learning and prepare them for success in their mathematical journey. 

Leigh Academy Rainham are following the Complete Maths Curriculum; however, this curriculum is based with a mastery approach to learning, whereby students only  move on to the next concept when they show proficiency in the existing concept. By taking this approach, it builds confidence, resilience and gives students the reassurance that they are ready to move to the next learning episode in their mathematical journey.  

The curriculum map shows one continuous learning journey and covers all of the school level of mathematics from counting to calculus. 

Curriculum Intent Statement

To allow students to enjoy  an interweaving , hierarchical, inquiry-based curriculum, that allows students to explore Mathematics in a range of contexts, which then equips students with the knowledge and skills to solve and address problems in their everyday lives.

The Mathematics curriculum at Leigh Academy Rainham aims to provide all students with a rich, balanced and diverse curriculum. By this we mean that: all students are able to learn a range of mathematical knowledge and skills which equip them for real life contexts outside our academy. With the development and innovation of modern technology, it is essential we give students the tools to be able to communicate effectively and efficiently. This allows students to become upskilled digitally to help them in their future learning and careers.

Where is my child in the Curriculum?

It is the responsibility of parents to check their child’s google classroom to see where they are in the Mathematics curriculum. 

Maths Curriculum Journey Map

Key Concepts

Relationships

Related Concepts

Representation, simplification

Statement of Inquiry

The evolution of numerical representations are used to express and simplify relationships.

Careers

  • Bricklayer
  • Chef
  • Conservation scientist

Inquiry Questions

Factual Questions

  • What is base 10?
  • What is an integer?
  • What is a quotient/ dividend/ divisor/ remainder?
  • What is base 10?
  • What is a term/ expressions/ variable/constant/ coefficient?
  • What is the link between the base 10 number system and the conversion of metric units?
  • What is the difference between commutative and associative rules?
  • What real life examples can we relate expanding brackets to?

Conceptual Questions

  • How did the base 10 number become a number system?
  • How can collecting terms simplify a problem?
  • What real life examples can we relate expanding brackets to?

Debatable Questions

  • How is using the metric system favourable over the existence of the imperial one?
  • To what extent are we influenced by events of the past?
  • To what extent does the systems and decisions of our ancestors affect the way we live today?
  • To what extent do metric and imperial number systems affect the way humans interact with one another?
  • How can the generalisations allow solutions to differ?

Key Concepts

Form, logic

Related Concepts

Measurements, change

Statement of Inquiry

Artistry and aesthetics are enhanced by a knowledge of form and measurement.

Puzzles and games require logical thought to change outcomes.

Careers

  • Architect
  • Structural Engineer
  • Engineering Construction Technician
  • Artist
  • Town Planner
  • Health and Safety Advisor
  • Actuary
  • Bodyguard
  • Outdoor and Adventurous Activity Leader

Inquiry Questions

Factual Questions

  • What are lines?
  • What does the word parallel mean?
  • What do angles in a triangle sum to?
  • What do angles on a straight line/around a point sum to?
  • What are mathematical puzzles and games?
  • What is logical thought?
  • What is the probability scale?

Conceptual Questions

  • How do varying angles change structures?
  • How does a change in one angle influence others in vertically opposite angles?
  • How do measurements affect aesthetics?
  • Why do the angles in a triangle and angles on a straight line both sum to 180 degrees? Are there connections?
  • How are puzzles developed?
  • Why is change often required?

Debatable Questions

  • To what extent is aesthetics linked with angles?
  • Can the perception of angles and lines affect the aesthetics from one person to another?
  • To what extent does logic elicit change?
  • Is illogical change ever necessary?

Key Concepts

Form, relationships

Related Concepts

Approximation, simplification, models, patterns

Statement of Inquiry

Approximating and simplifying quantities in different forms can help us understand digital life.

Does the process of finding patterns and relationships aid in finding model solutions.

Careers

  • Structural engineer
  • Computer programmer
  • Farmer

Inquiry Questions

Factual Questions

  • What does simplify mean?
  • What is the difference between an exponent, power and index?
  • What is a square root?
  • What is a pattern?
  • What are the different types of patterns?

Conceptual Questions

  • Depending on the form, how can powers be simplified?
  • How can we use our knowledge of fractions to help simplify powers?
  • When is it appropriate to exchange the representation?
  • How does simplification give a better form?
  • How do approximations lead to accurate representations?
  • How do we model patterns?
  • How is it possible to model a pattern and make predictions?

Debatable Questions

  • To what extent does the degree of accuracy impact different forms?
  • When do simplifications eradicate details?
  • Is there a mathematical order to our natural world?

Key Concepts

Relationships

Related Concepts

Model, representation

Statement of Inquiry

Relationships in demography and populations can be represented through different models.

Inquiry Questions

Factual Questions

  • What characteristics must all bar charts have?
  • What do angles around a point add up to?
  • What is a variable?
  • What does solve mean?
  • What is a linear equation?

Conceptual Questions

  • Does the order of operations must be obeyed in every situation?

Key Concepts

Form

Related Concepts

Quantity, simplification

Inquiry Questions

Factual Questions

  • What are the types of Measurement?
  • What are the Systems of measurement?
  • Are all measurements metric?

Conceptual Questions

  • What is the difference between metric and imperial measurement?
  • How do the area conversions of metric measures differ from the length conversions?

Debatable Questions

  • Which system of measurement is commonly used and why?

Key Concepts

Logic

Related Concepts

Justification, measurement

Statement of Inquiry

A knowledge of shape allows us to strategically plan infrastructure in a logical way.

Careers

  • Town planner
  • Logistics
  • Architecture

Inquiry Questions

Factual Questions

  • What are the properties of a Triangle?
  • What are the properties of a quadrilateral?
  • What are the properties of a circle?
  • What are the differences between similarity and congruence?

Conceptual Questions

  • How does a knowledge of 2d shapes help you model 3d problems?
  • How can a quadrilateral fit into more than one classification of shape?
  • Are all similar shapes also congruent?

Debatable Questions

  • Why do we have shapes which fit into multiple categories and is this helpful?
  • Towns should be made in blocks, just like the USA, it’s just easier that way?
  • We should only use the metric system, it’s better, isn’t it?

Key Concepts

Relationships

Related Concepts

Equivalence, representation

Statement of Inquiry

Equivalence in the global markets can be determined by the representation of relationships.

Careers

  • Motor mechanic
  • App developer
  • Nursing associate

Inquiry Questions

Factual Questions

  • What does linear mean?
  • What does gradient mean?
  • What are perpendicular and parallel lines?

Conceptual Questions

  • What impact does it have on the equation if we do not balance the equation?
  • Why is it best to try and make the variable positive?

Debatable Questions

  • To what extent is the representation of a line better shown graphically?
  • How can the concept of gradients be transferred to science?

Key Concepts

Relationships

Related Concepts

Representation, simplification

Statement of Inquiry

Simple models and representations help humans interpret relationships.

Careers

  • Scientist
  • Statistician
  • Data analyst
  • Software engineer

Inquiry Questions

Factual Questions

  • What are alternate and corresponding angles?
  • What is parallel?
  • What are alternate internal and external angles?
  • What is a Venn diagram?
  • How do I interpret a Carroll diagram?
  • What are the fractional and percentage equivalents?
  • How do I use fractions as operators?

Conceptual Questions

  • Why do I need straight lines to get corresponding and alternate angles?
  • What are the similarities and differences between a Venn and Carroll diagram?
  • How does the organisation of a Venn allow for easy interpretation and why have you done this since primary?
  • What is the idea behind the universal set?

Debatable Questions

  • Why are fractions preferred by mathematicians over percentages?
  • Diagrams make mathematics easier to understand?
  • How will thinking about similarities transfer to Science?

Key Concepts

Relationships

Related Concepts

Space, quantity

Statement of Inquiry

Relationships between quantities can affect space and enhance artistry.

Careers

  • Business consultant
  • Structural engineer
  • Town planner

Inquiry Questions

Factual Questions

  • What is the difference between mode/ median/ mean/ range?
  • What is the correlation?
  • What is an anomaly?

Conceptual Questions

  • When is it more appropriate to use one average over another?
  • What can influence the positive and negative correlation of a graph?

Debatable Questions

  • What is more appealing to the eye, rotational or reflective symmetry?
  • To what extent can the way we hold mathematical equipment influence the accuracy of our drawings?

Key Concepts

Relationships

Related Concepts

Representation, quantity

Statement of Inquiry

Relationships between quantities can affect representations and then impact our digital life.

Careers

  • Cyber Security Analyst
  • Business Development Manager
  • Finance Manager

Inquiry Questions

Factual Questions

  • What is a prime number?
  • Why isn’t 1 a prime number?
  • What does the word linear mean?
  • What is a gradient?
  • What is a constant?

Conceptual Questions

  • How can the relationship between terms affect linear equations graphically?
  • How does altering the constant change the graph of a linear equation?
  • Why should we consider linear equations with negative gradients?

Debatable Questions

  • To what extent do primes help our security in our everyday lives?

Key Concepts

Form

Related Concepts

Space, change

Statement of Inquiry

The scale in which chang happens e in space can impact the form.

Careers

  • Investment Fund Executive
  • Financial Advisor
  • Landscape Architect

Inquiry Questions

Factual Questions

  • What does the word circumference mean?
  • What is the difference between perimeter and circumference?
  • What relation does pi have to circles?
  • What is the difference between surface area and volume?

Conceptual Questions

  • How can the changing of answers benefit accuracy?
  • In what way can formulae be related even when the form is somewhat different?
  • How can 2-D space be used in order to represent 3D space?

Debatable Questions

  • Will the amount of space available affect the capacity of solving problems?

Key Concepts

Form