## Our approach

At Ark Byron Primary Academy, all year groups follow the Mathematics Mastery programme. This curriculum is aligned with our school vision as it has high expectations for every child, spends more time on fewer topics and focuses teaching on using mathematics principles to problem-solve.

This approach uses concrete manipulatives (actual objects such as Dienes blocks, number lines and bead strings), pictorial (pictures representing mathematical concepts) and abstract (e.g. written equations) strategies to ensure that every child has a deep understanding of mathematics. The Maths "programmes of study" for each year group are included in the main Curriculum page.

If you would like further information about the curriculum please refer to the Parent Workshops tab (where you will find information from the workshops) or use the following links:

http://www.foundationyears.org.uk/eyfs-statutory-framework/

https://www.gov.uk/government/uploads/system/uploads/attachment_data/fil...

## Year 1

Autumn 1 | Autumn 2 |
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• Consolidation and plug gaps from learning in Reception • Numbers within 10 • Adding and subtracting within 10 • Shape and patterns • Numbers within 20 Addition and subtraction within 20 |

Spring 1 | Spring 2 |
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• Time • Exploring calculation strategies within 20 • Numbers to 50 • Addition and subtraction within 20 • Fractions • Length and mass |

Summer 1 | Summer 2 |
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• Numbers 50 to 100 and beyond • Addition and subtraction within 100 • Money • Multiplication and division • Capacity and volume |

## Year 2

Autumn 1 | Autumn 2 |
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• Number within 100 • Addition and subtraction of a 2-digit number • Addition and subtraction word problems • Measuring length • Graphs • Multiplication and division |

Spring 1 | Spring 2 |
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• Multiplication and division • Time • Fractions • Addition and subtraction (adjusting and regrouping) • Money • Faces, shapes and patterns; lines and turns |

Summer 1 | Summer 2 |
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• Faces, shapes and patterns; lines and turns • Number within 1000 • Measures: capacity and volume • Measures: mass • Exploring calculation strategies • Multiplication and division (3x and 4x) |

## Year 3

Autumn 1 | Autumn 2 |
---|---|

Number sense, exploring calculation strategies, solve number and practical problems, estimation, add and subtract money, place value, using 3-digit numbers in calculations, graphs. | Addition and subtraction, use formal written methods to calculate, solve problems using number facts and place value, length and perimeter, accurate measuring and using appropriate units |

Spring 1 | Spring 2 |
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Multiplication and division, solving problems, deriving facts, practicing mental and formal written methods. | Tell, record, write and compare the time, Roman numerals, 12hr clocks, a.m. and p.m., compare durations. Recognise, use, compare, order simple fractions; understand fractions as parts of a whole; add/subtracts fractions of same denominator. |

Summer 1 | Summer 2 |
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Identify right-angles, identify parallel and perpendicular lines; draw/make and measure 2-D and 3-D shapes. Measure, compare, add/ subtract and solve problems, using appropriate tools and units. | Recall and use multiplication/ division facts for 6 & 8 times table; count in multiples of 6 & 8; calculate mathematical statements. Add/subtract numbers mentally; find 10, 100,1000 more than a given number; order and compare beyond 1000; round any number to nearest 10, 100, 1000. |

## Year 4

Autumn 1 | Autumn 2 |
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Reasoning with 4-digit numbers Solve number and practical problems with increasingly large numbers; identify, represent and estimate using different representations. Addition and subtraction Calculate and estimate numbers with up to 4 digits using formal written methods; solve twostep problems, deciding on appropriate methods. | Multiplication and division Understand and use distributive law; use place value to calculate mentally; use formal written method to multiply two and three-digits numbers by one-digit numbers. Discrete and continuous data Solve, compare, calculate, interpret and present data using appropriate graphical methods; understand line graphs. |

Spring 1 | Spring 2 |
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Securing multiplication facts Recall multiplication facts up to 12 x 12. Fractions Show families of equivalent fractions; solve problems with increasingly harder fractions; add/subtract fractions totalling more than 1. Time Solve problems converting between units of measure, analogue and digital 12 and 24-hour clocks. | Decimals Discover decimals; recognise decimal equivalents to tenths, quarters and halves; compare numbers with the same number of decimals places. Area and perimeter Measure and calculate perimeter of rectilinear shapes; measure, calculate and compare areas of rectangles and composite rectilinear shapes. |

Summer 1 | Summer 2 |
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Solving measure and money problems Convert between units of measure; estimate, compare and solve simple measure and money problems including fractions and decimals. Shape and symmetry Compare and classify geometric shapes and angles; identify lines of symmetry in 2-D shapes. | Position and direction Describe positions and movements and plot specified points and lines on a 2-D grid. Reasoning with patterns and sequences Read Roman numerals and understand a brief history of the number system; recognise and use square numbers and their notation; understand negative numbers to -100. 3-D shape Identify 3-D shapes from 2-D representations |

## Year 5

Autumn 1 | Autumn 2 |
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• Read and write, order, and compare numbers up to one million • Round numbers within one million to the nearest multiples of 10 • Read Roman numerals up to M
• Use rounding to estimate • Use a range of mental calculation strategies to add and subtract integers • Illustrate and explain the written method of column addition and subtraction • Select efficient calculation strategies
• Complete read and interpret data presented in line graphs |
• Identify multiples and factors • Investigate prime numbers • Multiply and divide by 10, 100 and 1000 (integers) • Derived facts • Illustrate and explain formal multiplication and division strategies such as short and long • Use a range of mental calculation strategies
• Investigate area and perimeter of rectilinear shapes • Estimate area of nonrectilinear shapes
• Use cube numbers and notation • Estimate volume • Convert units of volume |

Spring 1 | Spring 2 |
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• Read, write, order and compare decimals • Round decimals to the nearest whole number • Represent, identify, name, write, order and compare fractions (including improper and mixed numbers) • Calculate fractions of amounts
• Classify, compare and order angles • Measure and draw angles with a protractor • Understand and use angle facts to calculate missing angles
• Add, subtract fractions with denominators that are multiples of the same number • Explore percentage, decimal, fraction equivalents |
• Add, subtract fractions with denominators that are multiples of the same number • Explore percentage, decimal, fraction equivalents
• Coordinates in all four quadrants • Translation and reflection • Calculate intervals across • Zero as context for negative numbers |

Summer 1 | Summer 2 |
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• Convert between metric units of length, mass and capacity and units of time • Know and use approximate conversion between imperial and metric
• Read and interpret timetables including calculating intervals
• Mental strategies to add and subtract involving decimals • Formal written strategies to add, subtract and multiply involving decimals • Multiply and divide by 10, 100, 1000 involving decimals • Derive multiplication facts involving decimals |
• Classify 2D shapes and reason about regular and irregular polygons • Properties of diagonals of quadrilaterals • Classify 3D shapes • 2D representations of 3D shapes
• Mental strategies to add and subtract involving decimals • Formal written strategies to add, subtract and multiply involving decimals • Multiply and divide by 10, 100, 1000 involving decimals • Derive multiplication facts involving decimals |

## Year 6

Autumn 1 | Autumn 2 |
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• Represent, read, write, order and compare numbers up to ten million • Round numbers, make estimates and use this to solve problems in context • Solve multi-step problems involving addition and subtraction
• Identify and use properties of number, focusing on primes • Multiply larger integers and decimal numbers using a range of strategies • Divide integers by 1-digit and 2- digit numbers representing remainders appropriately Illustrate and explain formal multiplication and division strategies |
• Understand the use of brackets • Use knowledge of the order of operations to carry out calculations • Generate and describe linear number sequences • Express missing number problems algebraically • Solve equations with unknown values
• Deepen understanding of equivalence • Order, simplify and compare fractions, including those greater than one • Recall equivalence between common fractions and decimals • Find decimal quotients using short division • Add and subtract fractions • Represent multiplication involving fractions • Multiply two proper fractions • Divide a fraction by an integer
• Compare and classify a range of geometric shapes • Use angle facts to find unknown angles |

Spring 1 | Spring 2 |
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• Draw a range of geometric shapes using given dimensions and angles • Describe, draw, translate and reflect shapes on a co-ordinate plane • Recognise and construct 3-D shapes • Name and illustrate parts of a circle
• Use, read, write and convert between standard units of measures; length, mass, time, money and volume as well as imperial units • Calculate the area of parallelograms and triangles Calculate, estimate and compare the volume of cuboids |
Percentages and statistics • Calculate and compare percentages of amounts • Connect percentages with fractions • Explore the equivalence of fractions, decimals and percentages • Calculate the mean • Construct and interpret lines graphs and pie charts • Compare pie charts
• Use fractions to express proportion • Identify ratio as a relationship between quantities and as a scale factor Unequal sharing involving ratio |

Summer 1 | Summer 2 |
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Maths SATs revision | Maths problem-solving and reasoning development |