Why do we learn maths?
At Ark Conway our reality is that all pupils leave Primary school with a rich understanding of Mathematics. The skills taught are mastered and built upon year on year to ensure that all children exude a confidence and a passion for Maths. We identify that Maths has a much wider impact on our children’s lives than just school and we use maths as a vehicle to create critical thinkers who can contribute to their communities and wider societies.
Our approach
Mathematics at Ark Conway is planned and taught using ‘Mathematics Mastery’. Teachers are carefully trained and developed in order to provide the highest quality Maths education to their students. Mastering skills is the foundation of our Mathematical success at Ark Conway and the children are provided with the experiences that allow them to deeply understand mathematical concepts rather than learning shortcuts or procedures. Once the children have demonstrated this core understanding they are immersed in the abstract representations that allow them be fluent in the Maths skills required to unlock and use problem solving skills in Maths lessons and real life contexts. Children demonstrate their understanding of what has been taught through high levels or Oracy skills. Full sentences and technical vocabulary are a standout feature of Maths at Conway.
Our delivery of Maths content is supplemented by every day with Maths meetings and Arithmetic sessions. Maths meetings allow us to revisit previously taught objectives from the current year and previous year groups. We remember our prior learning though songs, chants and games to make sure our foundational knowledge of Mathematics stays strong. Arithmetic sessions allow our children to have the confidence of being fluent with numbers and operations. It allows them to access higher order thinking skills and spend more time problem solving and thinking conceptually during their Maths lessons.
Reception
| Autumn 1 | Autumn 2 |
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This term, we will be developing our early mathematical understanding and understanding of patterns. We will be learning to: Sort different objects into groups Match equal sets to one another Compare objects according to size Order objects according to length and size. Recognising, copying, and creating patterns. Exploring the numbers one, two and three |
This term we will be focusing on Shape, Space Measure and Time. We will be learning to: Estimate, order compare, discuss and explore capacity, weight and lengths Describe and sort 2D shapes using the words side, edge vertex and vertices. Describe and sort 3D shapes using the words side, edge vertex and vertices. Find describe and sort 2D and 3D shapes in the ‘real world’. Describe the position of things accurately using the correct preposition (in, under, on, behind etc.) Learn the days of the week and months of the year in order. |
| Spring 1 | Spring 2 |
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This term, we will be learning to: Count up to ten objects reliably Recognise up to ten objects reliably Explore one more and one fewer within ten Place numbers within ten in order Apply knowledge of numbers to solve Use key vocabulary associated with ordinal In our Calendar and Time unit, we will be: Exploring and discussing time and the seasons Using everyday language to talk about and sequence daily events Using ordinal language when sequencing events and measure short periods of time |
This term, we will be learning to: Count in equal groups and add them together. Count in groups to find a total. Explore grouping objects in tens. Explore sharing objects into two equal Solve practical problems using sharing Counting up to 15 objects and ordering them Applying knowledge of one more or one fewer to answer problems. |
| Summer 1 | Summer 2 |
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Year 1
| Autumn 1 | Autumn 2 |
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We will be developing ability to Represent and compare numbers within 10 with a focus on doubling, halving and knowledge of odd and even numbers. We build on this knowledge when we represent and explain addition and subtraction showing a deeper understanding of commutativity addition and subtraction facts. Our next topic will be exploring 2-D and 3-D shapes. We will be able to Identify, describe, sort and classify shapes. Moving on to investigating patterns and positional language. |
We will be developing ability to confidently identify, represent, compare and order numbers to 20. After we have improved our number sense of numbers within 20 we will then move onto building efficient strategies to add and subtract, including make ten and known facts. |
| Spring 1 | Spring 2 |
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We will be developing our understanding of time. By the end of the unit, we will be able to read, write and tell the time to o’clock and half past on analogue clock, sequence daily activities and understand how whole and half turns are linked to time. Our next topic will be exploring calculation strategies within 20. We will be working towards everyone confidently being able to model, explain and choose efficient addition and subtraction strategies. |
We will be developing our understanding of different strategies for addition and subtraction. By the end of the unit, we will be able to represent, sequence, explore, compare 2 digit numbers and apply ‘Make Ten’ strategy. Our next topic will be the students first introduction to fractions where we will identify halves, quarters in shapes and quantities. |
| Summer 1 | Summer 2 |
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We will be developing our understanding of number to 50 and beyond. By the end of the unit, we will be able to identity numbers that are one or ten more and fewer and identify number patterns. Our next topic will explore addition and subtraction involving 2-digit numbers and regrouping. Also, we will continue to practise our number bonds within 20. |
We will be developing our understanding of money. By the end of the unit, we will be able to name the coins and notes. We will demonstrate our understanding of their value by being able to represent the same value using different coins. Finally, will be applying our knowledge of difference to find change. Our next topic will be introducing the concept of multiplication and division. Then we will move onto our final topic of capacity and volume. |
Year 2
| Autumn 1 | Autumn 2 |
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Numbers within 100 Read, write, represent, partition, compare and order numbers within 100 Explore patterns including odds and evens, tens and ones Addition and subtraction of 2-digit numbers Apply number bonds to add and subtract Represent and explain addition and subtraction of two 2-digit numbers Add three 1-digit numbers Addition and subtraction word problems Introduction to bar models as a representation Create, label and sketch bar models to represent and solve word problems |
Measures and lengths Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm) to the nearest appropriate unit, using rulers and scales Compare and order length and record the results using >, < and = Apply knowledge of numbers to 100 to read scales to the nearest appropriate standard unit in the context of length (m/cm) Graphs Interpret and construct simple pictograms, tally charts, block diagrams and simple tables Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity Ask and answer questions about totalling and comparing categorical data Multiplication and Division (2, 5 and 10) Calculate mathematical statements for multiplication and division and write them using the multiplication (×), division (÷) and equals (=) signs Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers |
| Spring 1 | Spring 2 |
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Multiplication and Division (2, 5 and 10) Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers Time Tell the time on an analogue clock: quarter past, quarter to and five-minute intervals Calculate durations of time in minutes and seconds Sequence daily events Minutes in an hour and hours in a day Fractions Explore part-whole relationships Fractions as part of a whole or a whole set Relating fractions to division Equivalent fractions Addition and subtraction of 2-digit numbers Illustrate, represent and explain addition and subtraction involving regrouping including ‘Make Ten’, ‘Round and adjust’ and near doubles strategies |
Addition and subtraction of 2-digit numbers Illustrate, represent and explain addition and subtraction involving regrouping including ‘Make Ten’, ‘Round and adjust’ and near doubles strategies Money Recognise coins and notes Use £ and p correctly Add and subtract amounts Calculate change Faces, Shapes and Patterns; Lines and Turns Explore, sort and describe 2D shapes Lines of symmetry in 2D shapes Identify 2D shapes on 3D shapes Compare and sort 2D and 3D shapes Use language to describe position, direction, and rotation to follow a route |
| Summer 1 | Summer 2 |
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Faces, Shapes and Patterns; Lines and Turns Explore, sort and describe 2D shapes Lines of symmetry in 2D shapes Identify 2D shapes on 3D shapes Compare and sort 2D and 3D shapes Use language to describe position, direction, and rotation to follow a route Numbers within 1000 Represent numbers in different ways Compare numbers using symbols Read scales of different increments Measures: Capacity, volume and mass Read and measure temperature Estimate, measure and understand litres and millilitres Compare and order capacities Weigh and compare masses in grams and kilograms |
Faces, Shapes and Patterns; Lines and Turns Compare and sort 2D and 3D shapes Use language to describe position, direction, and rotation to follow a route Numbers within 1000 Represent numbers in different ways Compare numbers using symbols Read scales of different increments Measures: Capacity, volume and mass Estimate, measure and understand litres and millilitres through practical work Weigh and compare masses in grams and kilograms Exploring Calculation Strategies Apply addition and subtraction strategies to solve equations Illustrate and explain addition and subtraction using the column method |
Year 3
| Autumn 1 | Autumn 2 |
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Read, write, order and compare Calculate mentally using known facts, Derive new facts from a known fact Read, write, represent, partition, order Find 10 and 100 more or less Round to the nearest multiple of 10 and 100 Collect, interpret and present data using charts and tables. |
Addition and Subtraction Add and subtract numbers mentally, including: a three-digit number and ones; a three-digit number and tens; a three-digit number and hundreds Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction Estimate the answer to a calculation and use inverse operations to check answers Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction Length and Perimeter Measure, compare, add and subtract: lengths (m/cm/mm) Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction measure the perimeter of simple 2-d shapes Continue to measure using the appropriate tools and units, progressing to using a wider range of measure |
| Spring 1 | Spring 2 |
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Multiplication and Division Multiplication and division facts for 2, 3, 4, 5, 6, 8 and 10 Multiplicative structures: equal groups/parts, change and comparison, correspondence problems Relationships: commutativity and inverse between multiplication and division Multiply and divide by 10 and 100 Multiply a 2-digit number by 2, 3, 4, 5 and corresponding division situations Divide 2-digit numbers by a 1-digit numbers |
Time Tell, record, write and order the time analogue and digital 12-hour, a.m., p.m. Measure, calculate and compare durations Fractions Fractions as part of a whole or a whole set and as a number Add, subtract, compare and order fractions |
| Summer 1 | Summer 2 |
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Multiplication and division facts for 2, 3, 4, 5, 6, 8 and 10 Multiplicative structures: equal groups/parts, change and comparison, correspondence problems Relationships: commutativity and inverse Multiply and divide by 10 and 100 Multiply a 2-digit number by 2, 3, 4, 5 and Divide 2-digit by a 1-digit |
This term in Maths, we will begin by securing our knowledge of multiplication and division. We will be looking at the following; The links between multiplication and division Solving problems involving the 6 and 8 multiplication tables Multiplying 2-digit numbers by 6 and 8 After this topic, we will be moving on In this unit, we will: Apply mental strategies for addition and subtraction Apply mental strategies for multiplication and division Explore 4-digit numbers |
Year 4
| Autumn 1 | Autumn 2 |
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Reasoning with 4-digit numbers Understand place-value up to the thousands 10, 100, or 1000 more or less Rounding numbers Addition and subtraction Derive addition and subtraction facts Choose an appropriate strategy for calculation Column addition/subtraction for 4-digit numbers Multiplication and Division Deriving multiplication and division facts Exploring short multiplication Exploring mental division Exploring short division Multiplication Check While the Year 4 Multiplication Check will not take place until the summer term, Year 4 will begin to prepare for this in class. In our Maths Meetings, we will continue rolling our numbers (up to the 12 times table) and will be testing our partners at different times in the day to build fluency of our times tables recall. At home, children can be introduced to the mathsframe website to improve their times tables. Search ‘mathsframe multiplication check’ to find this. |
Multiplication and Division Explore distributive property including multiplying by two-digit numbers and multiplying three 1-digit numbers. Use mental multiplication and division strategies using place-value and known and derived facts Use written, short multiplication and division methods Represent word problems through multiplication calculations and solve these using written and mental methods Discrete and Continuous Data Read, interpret, and construct pictograms, bar charts, and time graphs Compare tables, pictograms, and bar charts Securing Multiplication Facts Identify and explore patterns in multiplication tables including 7 and 9 |
| Spring 1 | Spring 2 |
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Fractions Recognise mixed numbers, improper fractions, and Add and subtract fractions with the same Solve problems involving both unit and non-unit Solve multi-step problems by comparing non-unit Time Read analogue and digital clocks and use this to convert times from the 12- to the 24-hour clock Convert hours/minutes/seconds and years/months/weeks/days and apply this to time- related problems Decimals Recognise and write decimal equivalent to any number of tenths Compare numbers with one decimal place Round decimals to the nearest whole number and Derive number bonds for numbers with one decimal place and use this to mentally add them together. |
Decimals Recognise and write decimal equivalent to any Compare numbers with one decimal place Round decimals to the nearest whole number and Derive number bonds for numbers with one Area and Perimeter Explore the perimeter of rectangles in both centimetres and metres Find the perimeter of composite rectilinear shapes Understand area as a measure of surface using Calculate the area of a rectangle in square Solving measure and money problems Choose and use appropriate units of measure Converting between different units of measure, Apply knowledge of units of measure to plan and |
| Summer 1 | Summer 2 |
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Solving measure and money problems Explore units of measure and use these Covert between different units of measure Apply knowledge of units to solve time, weight, Apply knowledge of money to solve problems Shape and symmetry Develop understanding of acute, obtuse, and right Develop understanding of 2D shapes and classify Reason about symmetry and patterns of symmetry Multiplication Check While the Year 4 Multiplication Check will not take place until the second half-term in summer, Year 4 will be continuing their preparations for this in class. Each morning, we will complete times tables practice on laptops in the classroom (up to the 12 times table); we will be testing our partners at different times in the day to ensure fluency of our times tables recall. At home, children can be using the mathsframe website to improve their times tables and reach the goal of answering 25 questions correctly in under 6 seconds for each question. |
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Year 5
| Autumn 1 | Autumn 2 |
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Pupils will practise reading, writing, ordering, and rounding numbers up to one million. Pupils will develop their understanding of We will investigate a range of mental and Pupils will look at line graphs, developing the skills needed to complete, read and interpret this data. |
Multiplication and division
identify multiples and factors recognise and use square numbers and the know and use the vocabulary of prime numbers, solve problems involving multiplication and multiply numbers up to 4 digits by a one- or two- divide numbers up to 4 digits by a one-digit Perimeter and Area calculate the perimeter of composite rectilinear shapes in centimetres and metres calculate and compare the area of rectangles and estimate the area of non-rectilinear shapes |
| Spring 1 | Spring 2 |
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Fractions and decimals Represent, read, write, order and compare fractions (including improper and minumbers) Identify, name and write equivalent fractions Calculate fractions of amounts Read, write, order and compare decimals Round decimals to the nearest whole number Angles Classify, compare and order angles Measure and draw angles with a protractor Understand and use angle facts to calculate |
Fractions and percentages Add and subtract fractions with denominators that are multiples of the same number Multiply fractions (and mixed numbers) by a whole number Explore percentage, decimal, fraction equivalence Transformations Coordinates in all four quadrants Translation and reflection Calculation intervals across zero as a context |
| Summer 1 | Summer 2 |
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Converting units of measure Convert between metric units of length, mass, Know and use approximate conversion Calculating with whole numbers and decimals Mental strategies to add and subtract involving Formal written strategies to add, subtract, and Multiply by 10, 100, and 1000 involving decimals Derive multiplication facts involving decimals |
2-D and 3-D shape Classify 2-D shapes and reason about Classify 3-D shapes and make 2-D Use cube numbers and notation Estimate and convert units of volume Problem solving Negative numbers and calculating Investigating numbers: consecutive, |
Year 6
| Autumn 1 | Autumn 2 |
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Integers and Decimals Represent, read, write, order and compare numbers up to 10,000,000 Round numbers, make estimates and use this to solve problems in context Solve multistep problems involving additions and subtraction Multiplication and Division Multiply larger integers and decimal numbers Divide integers by one digit, and two digit numbers Illustrate and explain, formal, multiplication and division strategies All pupils will complete a weekly arithmetic quiz |
Multiplication and division Divide integers, buy one and two digit numbers, Illustrate and explain, formal, multiplication and division strategies Calculation problems Understand the use of brackets Use order of operations to solve calculations Generate and describe, linear sequences Fractions Deepen understanding of equivalents Order, simplify and compare fractions Finding decimal quotient using short division Add and subtract fractions |
| Spring 1 | Spring 2 |
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Fractions Represents multiplication involving fractions Multiply two proper fractions Divide a fraction by an integer Decimals and measure Use, read, write, and convert between standard units of measures: length, mass, time, money, volume and imperial units. Calculate the area of parallelograms and triangles. Calculate, estimate and compare the volume of cuboids. Missing angles and length Compare and classify a range of geometric shapes. Use angle facts to find unknown angles. |
Percentages and statistics Calculate and compare percentages of amounts, connected with fractions. Calculate the mean Construct, interpret and compare line graphs and pie charts, Coordinates and shape Describe, draw, translate and reflect shapes on a coordinate plane Recognise and construct 3-D shapes Name and illustrate parts of a circle. Proportion problems 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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We will be consolidating many of our Year 5 and 6 maths topics as well as extending into some Year 7 work, through group project work and individual tasks. For example, pupils will be given a brief to design a Theme Park, they must then consider the building costs, running costs, profit margins and overall expenditure – all staying within the original budget! This is a great way to apply all their mathematical skills into a real-life example whilst challenging their mathematical thinking and business knowledge. |