Intent
At Excelsior Academy, we aim to provide a high-quality mathematics education with a mastery approach so that all children become fluent in the fundamentals of mathematics, reason mathematically and can solve problems by applying their mathematics. We believe that Maths is a journey and long-term goal, achieved through exploration, clarification, practice and application over time. At each stage of learning, children should be able to demonstrate a deep, conceptual understanding of the topic and be able to build on this over time.
Through mathematical talk, children will develop the ability to articulate, discuss and explain their thinking. We will provide the children with the necessary resources to allow all children to access the curriculum and encourage them to use this where appropriate to explain their logic and reasoning.
We recognise that Mathematics is essential to everyday life, critical to science, technology and engineering, and most forms of employment. We believe all pupils can achieve in mathematics. There is no such thing as a ‘Maths person’, that is the belief that some pupils can do maths and others cannot.
Implementation
Our method of delivering the maths national curriculum follows the teaching of a mastery approach. Instead of learning mathematical procedures by rote, we want pupils to build a deep conceptual understanding of concepts which will enable them to apply their learning in different situations.
The programme uses the Concrete Pictorial Abstract (CPA) approach with three main dimensions of depth; conceptual understanding, language and communication and mathematical thinking. The ‘Mastery approach’ ensures the children have a deep understanding of the three aims of the Primary Mathematics Curriculum: fluency, reasoning and problem solving. Throughout all classes, children are challenged with fluency, reasoning and problem solving in these lessons and consistently have access to high quality concrete resources to ensure children develop knowledge and skills effectively. We use the ‘I do, We do, You do’ approach to scaffold the childrens’ learning.
Much of the new curriculum focuses on building upon the children's strategies, how we can develop a secure understanding through concrete and translate this into pictorial and then finally abstract. Throughout this process children are exposed and supported to apply this knowledge through a range of problem solving and reasoning questions which requires them to think mathematically but also be able to prove and explain why/how. As a school, we follow the White Rose Overview and use this to support planning, as well as other resources to support our teaching.
Teachers implement the schools agreed calculations policy for progression in written and mental calculations. Formative and summative assessment is used in Maths teaching. For summative assessment we use PUMA assessments, analyse this data rigorously and then adapt teaching and/or plan effective interventions based on this.
Impact
Our mathematics curriculum is based upon a ‘Mastery approach’ which effectively meets the requirements of the new curriculum. Our Maths curriculum intends to enable all children to become confident and competent mathematicians. Through our approach to Maths teaching our children develop resilience and adaptability. Through regular opportunities to practise all children become adept at problem solving and are able to reason. Children have a wide range of strategies which enable them to confidently tackle problems now and in their future. This curriculum enables our children to make clear links between and make sense of mathematics and everyday life.
Curriculum Overview
| Term |
Year 5 |
Year 6 |
Year 7 |
| Autumn |
Place value
Addition and subtraction
Multiplication and division
|
Building foundational skills
Addition and subtraction
|
Sequences
Algebraic Notation
Expressions and Equations
|
|
Multiplication and division
Fractions
|
Multiplication and division
Fractions
|
Place Value, Ordering, Rounding
Four Operations
Averages and Range
|
| Spring |
Multiplication and division
Fractions
|
Ratio
Algebra
Decimals
|
Graphing Data
Fractions, Decimals, Percentages
|
|
Decimals and percentages
Perimeter and area
Statistics
|
Fractions, decimals and percentages
Area, perimeter and volume
Statistics
|
Directed Number
Fractions and Percentages of amounts
Perimeter and area
|
| Summer |
Shape
Position and direction
Decimals
|
Shape
Position and direction
|
Speed, Distance, Time
Properties of Number
|
|
Negative numbers
Converting units
Volume
|
Themed projects, consolidation and problem solving |
Add and Subtract Fractions
Angles and Polygons
|
Year 5 Curriculum
| Topic: Place value, Addition and subtraction, Multiplication and division, Fractions |
| What pupils will know |
- Vocabulary: Prime numbers, prime factors and composite (non-prime) numbers
- Roman numerals to 1000 (M)
- Numbers to 1,000,000
- Multiplication facts up to and including 12x12
- The conversion method from improper to mixed numbers and back
- How to identify key information in multi-step problems
|
| What pupils will be able to do |
- Read, write, order, compare and round numbers up to 1,000,000.
- Count forwards and backwards in powers of 10 and solve number problems involving large numbers.
- Add and subtract increasingly large numbers mentally and solve multi-step problems using efficient strategies.
- Use factors, multiples, squares and cubes to solve multiplication and division problems.
- Multiply and divide whole numbers and decimals by 10, 100 and 1,000 and recall multiplication and division facts mentally.
- Identify equivalent fractions, convert between mixed numbers and improper fractions, and compare and order fractions with related denominators.
- Use reasoning and estimation to check answers and determine appropriate levels of accuracy when solving problems.
|
| Assessment |
- End of term assessment
- Century Tech assessment
|
| Topic: Multiplication and division, Fractions, Decimals and percentages, Perimeter and area, Statistics |
| What pupils will know |
- Formal written methods for multiplication and division, including long multiplication and short division.
- The relationship between fractions, decimals, percentages, tenths, hundredths and thousandths.
- How to identify and generate equivalent fractions.
- How to read, write, compare, order and round decimal numbers.
- The concepts of perimeter and area, including standard units of measurement.
- How information can be represented in line graphs, tables and timetables..
|
| What pupils will be able to do |
- Multiply and divide numbers with up to four digits using efficient written methods.
- Multiply fractions and mixed numbers by whole numbers.
- Convert between fractions, decimals and percentages and solve related problems.
- Read, write, compare and round decimal numbers to a given degree of accuracy.
- Calculate the perimeter of composite rectilinear shapes and the area of rectangles and squares.
- Estimate the area of irregular shapes.
- Interpret, compare and solve problems using data presented in line graphs, tables and timetables.
|
| Assessment |
- End of term assessment
- Century Tech assessment
|
| Topic: Shape, Position and direction, Decimals, Negative numbers, Converting units, Volume |
| What pupils will know |
- The properties of regular and irregular polygons, rectangles and 3D shapes.
- How angles are measured in degrees and the relationship between shape properties and angles.
- The relationship between tenths, hundredths, thousandths and decimal numbers.
- How positive and negative numbers are used in real-life contexts.
- The relationships between common metric units of length, mass and capacity.
- How reflections and translations move shapes without changing their size or shape.
|
| What pupils will be able to do |
- Draw, measure and calculate angles using a protractor.
- Use the properties of rectangles to find missing lengths and angles.
- Identify, compare and classify regular and irregular polygons and recognise 3D shapes from 2D representations.
- Describe and represent the position of shapes following reflections and translations.
- Read, write, compare and solve problems involving numbers with up to three decimal places.
- Multiply and divide whole numbers and decimals by 10, 100 and 1,000.
- Interpret and use negative numbers in context.
- Convert between different metric units of measure and solve related problems.
|
| Assessment |
- End of term assessment
- Century Tech assessment
|
Year 6 Curriculum
| Topic: Building foundational skills, Addition, Subtraction, Multiplication, Division, Fractions |
| What pupils will know |
- The value of digits in numbers up to 10,000,000 and how place value can be used to compare, order and solve problems involving large numbers.
- How negative numbers are used in real-life contexts and how calculations can cross zero.
- Efficient written and mental methods for addition, subtraction, multiplication and division, including the order of operations.
- The meaning of prime numbers, common factors and common multiples.
- How fractions can be simplified, compared and expressed using equivalent fractions and common denominators.
|
| What pupils will be able to do |
- Read, write, order and compare numbers up to 10,000,000 and solve practical problems involving large numbers.
- Use negative numbers in context and calculate intervals across zero.
- Solve multi-step problems involving addition, subtraction, multiplication and division, selecting appropriate methods and checking answers using estimation.
- Multiply and divide large numbers using formal written methods and perform mental calculations with increasingly complex numbers.
- Apply the order of operations to solve calculations accurately.
- Identify prime numbers, common factors and common multiples to solve number problems.
- Simplify, compare and order fractions, including fractions greater than 1, and add and subtract fractions with different denominators and mixed numbers.
|
| Assessment |
- Termly assessment (SATs style questions)
- Mock SATs
|
| Topic: Ratio, Algebra, Decimals, Fractions, decimals and percentages, Area, perimeter and volume, Statistics |
| What pupils will know |
- How ratio and proportion can be used to compare quantities and solve problems involving scaling, sharing and similar shapes.
- The meaning of algebraic concepts including formulae, equations, sequences and variables.
- The relationships between fractions, decimals and percentages, and how these can be used interchangeably in different contexts.
- How place value extends to three decimal places and how numbers can be rounded to varying degrees of accuracy.
- Formulae for calculating area and volume, and the relationship between area, perimeter and volume.
- Different ways of presenting and interpreting data, including pie charts and line graphs.
|
| What pupils will be able to do |
- Solve problems involving ratio, proportion, unequal sharing and scale factors.
- Generate and describe linear sequences, express missing number problems algebraically, and find solutions to simple equations.
- Multiply and divide decimals by 10, 100 and 1,000 and solve problems involving decimal numbers and rounding.
- Calculate percentages and use fractions, decimals and percentages to compare values and solve real-life problems.
- Calculate the area of triangles and parallelograms and estimate, compare and calculate the volume of cubes and cuboids.
- Recognise relationships between area and perimeter and apply formulae to solve measurement problems.
- Interpret, construct and use pie charts and line graphs to analyse data and solve problems.
|
| Assessment |
- Termly assessment (SATs style questions)
- Mock SATs
|
| Topics: Shape, Position and direction, Themed projects, Consolidation of learning and Problem solving |
| What pupils will know |
- The properties of angles, including angles around a point, on a straight line and vertically opposite angles.
- The characteristics of triangles, quadrilaterals, regular polygons and circles.
- Key vocabulary related to circles, including radius, diameter and circumference, and that the diameter is twice the radius.
- The properties of 2D and 3D shapes, including how 3D shapes can be represented using nets.
|
| What pupils will be able to do |
- Calculate missing angles using their knowledge of angle rules.
- Classify and compare geometric shapes based on their properties and identify unknown angles in triangles, quadrilaterals and regular polygons.
- Identify, label and describe the parts of a circle.
- Draw accurate 2D shapes using given dimensions and angles.
- Recognise, describe and construct simple 3D shapes, including creating and using nets.
|
| Assessment |
- Termly assessment (SATs style questions)
- Mock SATs
|
Year 7 Curriculum
| Topics: Shape, Position and direction, Themed projects, Consolidation of learning and Problem solving |
| What pupils will know |
- The key vocabulary and conventions of sequences and algebra, including terms, variables, coefficients, constants and expressions.
- What like terms are and the meaning of an equation and equality.
- Place value in whole numbers and decimals, including ordering and comparing numbers.
- The principles of rounding and estimation, including decimal places and significant figures.
- The meaning and conventions of standard form.
- The four operations and how they apply to integers and decimals.
- The meaning of mean, median, mode and range and how they describe a set of data.
|
| What pupils will be able to do |
- Draw and interpret various Bar charts, scatter graphs and pictograms
- Convert fluently between Fractions, Decimals and Percentages using a variety of interpretations and models such as number lines and bar modelling
- Carry out the 4 operations with directed (negative) numbers
- Find Fractions and Percentages of amounts
- Increase and decrease by a percentage
- Find the perimeter and area of various shapes including triangles, parallelograms, trapezia and compound shapes .
|
| Assessment |
- How - End of unit assessment
- When - End of each unit
|
| Topics: Graphing Data, FDP, Directed number, FP of amounts, Perimeter and area |
| What pupils will know |
- The purpose and key features of bar charts, pictograms and scatter graphs, including frequency and correlation.
- The equivalence between fractions, decimals and percentages, and how these represent parts of a whole.
- The meaning of positive and negative numbers and the rules for operating with directed numbers.
- The meaning of a fraction or percentage of an amount and the relationship between percentage change and the original amount.
- The meaning of perimeter and area, including the different units used to measure them.
- The formulae and properties needed to find the area of triangles, parallelograms, trapezia and compound shapes.
|
| What pupils will be able to do |
- Draw and interpret various Bar charts, scatter graphs and pictograms
- Convert fluently between Fractions, Decimals and Percentages using a variety of interpretations and models such as number lines and bar modelling
- Carry out the 4 operations with directed (negative) numbers
- Find Fractions and Percentages of amounts
- Increase and decrease by a percentage
- Find the perimeter and area of various shapes including triangles, parallelograms, trapezia and compound shapes
|
| Assessment |
- How - End of unit assessment
- When - End of each unit
|
| Topics: SDT, Properties of Number, Add and Subtract Fractions, Angles in Polygons |
| What pupils will know |
- The standard units of time, including their relationships and the conventions of 12-hour and 24-hour time.
- How timetables represent departure times, arrival times and durations.
- The relationship between speed, distance and time, and how movement is represented on distance–time graphs.
- The meaning and properties of factors, multiples, primes, square, cube and triangular numbers.
- The meaning of HCF, LCM and prime factorisation and their relationship to factors and multiples.
- The meaning of equivalent fractions and why a common denominator is needed when adding or subtracting fractions.
- The key angle facts, including angles on a straight line, around a point, in triangles and quadrilaterals, and vertically opposite angles.
- The key vocabulary and properties of polygons, including sides, vertices, interior angles and regular polygons.
|
| What pupils will be able to do |
- Convert units of time
- Use timetables
- Calculate Speeds, distances and times in problems, interpreting these on graphs
- Identify factors, multiples, primes, triangular numbers, squares and cubes
- Find the HCF and LCM of pairs of numbers
- Add and subtract fractions with both common and uncommon denominators
- Know and use basic angle rules, angles on straight lines, angles in triangles, angles around a point, angles in quadrilaterals and vertically opposite angles
|
| Assessment |
- How - End of unit assessment
- When - End of each unit
|
