Mathematics at Ark Kings
At Ark Kings Academy, our Mathematics curriculum strives towards the following aims:
- Pupils become proficient mathematicians that are fluent in the fundamentals of mathematics and reason mathematically
- Pupils solve problems by applying their mathematics
By achieving these aims, our pupils experience how Maths is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. They also understand that Maths is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment.
Mathematics Curriculum Overview
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Mathematics Curriculum Overview: Outline of taught and assessed content The table below outlines the whole curriculum overview for this subject area, and shows the journey that students take throughout their secondary education. |
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Autumn 1 |
Autumn 2 |
Spring 1 |
Spring 2 |
Summer 1 |
Summer 2 |
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Nursery |
Saying number names in order when singing, playing games or in rhyme. Counting a small number of objects. Saying the days of the week. Begin to name 2d shapes.
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Saying number names in order Counting a small number of objects after placing them in a line Saying the months of the year Understanding positional language Naming 2d basic shapes
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Recognises some numerals. Mark make to write numerals Use comparative language to compare Find the total of 2 sets of objects |
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Reception |
Early mathematical experiences, pattern and early number |
Numbers within 6. Addition and subtraction within 6, measures, shape and sorting |
Numbers within 10, calendar and time Addition and subtraction within 10, Grouping and sharing, |
numbers within 15. doubling and halving. Shape and pattern. |
Securing addition and subtraction facts. Number patterns within 20, numbers beyond 20 addition and subtraction within 20. |
Money, Measures, exploration of patterns within numbers |
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Year 1 |
Numbers to 10, addition and subtraction within 10, shape and pattern. |
Numbers to 20, addition and subtraction with 20. |
Time, exploring calculation strategies within 20, numbers to 50. |
Addition and subtraction within 20, fractions, measure: length and mass. |
Numbers 50 to 100 and beyond, addition and subtraction, money |
Multiplication and division, Measures: Capacity and volume. |
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Year 2 |
Number within 100, Addition and subtraction of 2-digit numbers, Addition and subtraction word problems. |
Measure: length, graphs, Multiplication and division: 2,5, and 10. |
Time, Fractions, addition and subtraction of 2-digit numbers. |
Money, face, shape and patterns - lines and turns. |
Numbers with 1000, Measures: capacity and volume, measures: Mass. |
Exploring calculation strategies, multiplication and division: 3 and 4. |
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Year 3 |
Number sense and exploring calculation strategies Place value. |
Graphs. Addition and subtraction, Length and perimeter |
Multiplication and division, deriving multiplication facts money |
Time, fractions |
Solving measures and money problems, Shape and symmetry |
Position and direction, reasoning with pattern and sequences, 3-D shapes |
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Year 4 |
Reasoning with large numbers, addition and subtraction |
multiplication and division, Discrete and continuous data |
Securing multiplication facts, fractions |
Time, Decimals, Area and perimeter |
Decimals and money |
Time, statistics, properties of shapes, position and direction |
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Year 5 |
Reasoning with large integers, Integer addition and subtraction, Line graphs and timetables |
multiplication and division, perimeter and area |
Fractions and decimals, Angles |
Fractions and percentages, Transformations |
Converting units of measure, calculating with whole numbers and decimals |
2D and 3D shape, Volume, Problem solving |
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Year 6 |
Place value Addition,subtraction, multiplication and division Calculating problems |
Calculation problems (cont), fractions, converting units |
Algebra
Decimals
FDP Decimals and measure, |
Proportion
statistics problems. |
Revision Exams Reteach |
Revision Exams Reteach
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Year 7 |
Place Value Arithmetic (calculating) Factors and multiples Order of operations
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Positive and negative numbers Expressions Equations Inequalities |
Angles 2D shapes Constructions |
Coordinates Area and perimeter of 2D shapes Transforming 2D shapes |
Prime factor decomposition Conceptualising and comparing fractions Manipulating and calculating with fractions
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Ratio Percentages
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Year 8 |
Equations (including ‘unknown on both sides’) Sequences Inequalities |
Linear graphs Accuracy (rounding) Estimation
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Real life graphs and rate of change Direct and inverse proportion
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Univariate data (statistics: graphs and charts) Bivariate data (scatter graphs) |
Angles in polygons Bearings Circles
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Volume of prisms Surface area of prisms |
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Year 9 |
Fractions, decimals and percentages review Probability Sets, Venn diagrams and sample space diagrams |
Simultaneous equations: Solving algebraically Solving graphically Angles review
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Constructions, congruence and loci Pythagoras’ Theorem |
Ratio review Similarity and enlargement Trigonometry Algebra review |
Surds and trigonometry Quadratic expressions Quadratic equations |
Indices and standard form Growth and decay |
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Year 10 Foundation |
Negative numbers and the hierarchy of operations Decimals Powers, roots and index laws Factors, multiples and primes Algebra: the basics |
Expressions, formulae and substitution Tables, charts and graphs Pie charts Scatter graphs Fractions, decimals and percentages |
Percentages Equations and inequalities Properties of shapes, parallel lines and angle facts |
Interior and exterior angles of polygons Statistics, sampling and the averages Perimeter, area and volume |
Real-life graphs Straight-line graphs Transformations |
Ratio review Proportion Right-angled triangles: Pythagoras and trigonometry |
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Year 10 Higher |
Calculations, checking and rounding Indices, roots, reciprocals and the hierarchy of operations Factors, multiples, primes, standard form and surds Algebra essentials |
Algebra essentials Sequences Averages and range Representing and interpreting data and scatter graphs Fractions and percentages
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Ratio and proportion Polygons, angles and parallel lines Pythagoras’ Theorem and trigonometry Linear graphs and coordinate geometry Quadratic & cubic graphs |
Graphs: the basics and real-life graphs Perimeter, area and circles 3D forms and volume, cylinders, cones and spheres |
Accuracy and bounds Transformations Constructions, loci and bearings Solving quadratic and simultaneous equations
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Inequalities Probability
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Year 11 |
Probability Multiplicative reasoning Plans and elevations Constructions, loci and bearings |
Quadratic equations: expanding and factorising Quadratic equations: graphs Circles, cylinders, cones and spheres Fractions and reciprocals Indices and standard form |
Similarity and congruence in 2D Vectors Rearranging equations, graphs of cubic & reciprocal functions and simultaneous equations |
Revision and Exams |
Revision and Exams |
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Year 11 Higher |
Multiplicative reasoning Similarity and congruence in 2D and 3D Graphs of trigonometric functions Further trigonometry Collecting data |
Cumulative frequency, box plots and histograms Quadratics, triple brackets, sketching graphs, graphs of circles and cubes Circle theorems and circle geometry |
Vectors and geometric proof Reciprocal and exponential graphs; Gradient and area under graphs Direct and inverse proportion |
Revision and Exams |
Revision and Exams |
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Arithmetic Curriculum Overview: Outline of taught and assessed content The table below outlines the whole curriculum overview for this subject area, and shows the journey that students take throughout their primary education. |
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Autumn 1 |
Autumn 2 |
Spring 1 |
Spring 2 |
Summer 1 |
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Year 2 |
Arithmetic Addition 1a) Count forwards across 100 from any given number 1b) Add 1-digit and 2-digit numbers to 20 2a) Add a 2-digit and 1-digit number (up to 100) 2b) Add a 2-digit number and tens (up to 100) 2c) Add three 1-digit numbers (up to 100) Subtraction 1c) Count backwards across 100 from any given number 1d) Subtract 1-digit and 2-digit numbers to 20 2d) Subtract a 2-digit and 1-digit number (up to 100) 2e) Subtract a 2-digit number and tens (up to 100) Fractions 1e) Find half of a quantity 1f) Find quarter of a quantity
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Arithmetic Addition 2f) Add two 2-digit numbers (up to 100 no regrouping) 2g) Solve addition missing number problems (up to 100 no regrouping) Subtraction 2h) Subtract two 2-digit numbers (up to 100 no regrouping) 2i) Solve subtraction missing number problems (up to 100 no regrouping) Multiplication 2j) Use multiplication facts for the 2, 5 and 10 multiplication tables |
Division 2k) Use division facts for the 2, 5 and 10 multiplication tables Fractions 1e) Find half of a quantity 1f) Find quarter of a quantity 2l) Find one third of a quantity 2m) Find two quarters of a quantity 2n) Find three quarters of a quantity |
Addition 2o) Add two 2-digit numbers with regrouping 2p) Solve addition missing number problems (up to 100 with regrouping) Subtraction 2q) Subtract two 2-digit numbers with regrouping 2r) Solve subtraction missing number problems (up to 100 with regrouping) |
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Year 3 |
Addition 2a) Add a 2-digit and 1-digit number (up to 100) 2b) Add a 2-digit number and tens (up to 100) 2c) Add three 1-digit numbers 3a) Apply knowledge of partitioning with numbers up to 999 3b) Add a 3-digit number and ones (up to 999) 3c) Add a 3-digit number and tens (up to 999) 3d) Add a 3-digit number and hundreds (up to 999) Subtraction 2d) Subtract a 2-digit and one-digit number (up to 100) 2e) Subtract a 2-digit and tens (up to 100) 3e) Subtract multiples of 10 or 100 from a number (up to 999) – including regrouping / bridging 3f) Subtract a 3-digit number and ones (up to 999) 3g) Subtract a 3-digit number and tens (up to 999) 3h) Subtract a 3-digit number and hundreds (up to 999) |
Addition 2f) Add two 2-digit numbers (up to 100 – no regrouping) 2g) Solve addition missing number problems (up to 100 – no regrouping) 2o) Add two 2-digit numbers - with regrouping 2p) Solve addition missing number problems (up to 100 – with regrouping) 3i) Add numbers up to 3-digits using formal method of column addition 3j) Solve addition missing number problems (up to 999 – with regrouping) Subtraction 2h) Subtract two 2-digit numbers (up to 100 – no regrouping) 2i) Solve subtraction missing number problems (up to 100 – no regrouping) 2q) Subtract two 2-digit number with regrouping 2r) Solve subtraction missing number problems (up to 100 – with regrouping) 3k) Subtract numbers up to 3-digits using formal method of column subtraction 3l) Solve subtraction missing number problems (up to 999 – with regrouping) |
Multiplication 2j) Use multiplication facts for the 2, 5 and 10 multiplication tables 3m) Multiply a 2-digit by a 1-digit number (2, 3, 4, 5 and 8) 3n) Multiply more than two numbers together (2, 3, 4, 5, 8 and 10) 3o) Solve multiplication missing number problems (2, 3, 4, 5, 8 and 10) Division 2k) Use division facts for the 2, 5 and 10 multiplication tables 3p) Use known multiplication facts to create associated division facts (2, 3, 4, 5, 8 and 10) 3q) Solve division missing number problems (2, 3, 4, 5, 8 and 10) |
Fractions 2l) Find one third of a quantity 2m) Find two quarters of a quantity 2n) Find three quarters of a quantity 3r) Add fractions with the same denominator within one whole 3s) Subtract fractions with the same denominator within one whole 3t) Find fractions of quantities (up to 100) where the denominator is 2, 3, 4, 5, 8 or 10 |
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Year 4 |
Addition 3a) Apply knowledge of partitioning with numbers up to 999 3b) Add a 3-digit number and ones (up to 999) 3c) Add a 3-digit number and tens (up to 999) 3d) Add a 3-digit number and hundreds (up to 999) 3i) Add numbers up to 3-digits using formal method of column addition 3j) Solve addition missing number problems (up to 999 with regrouping) 4a) Apply knowledge of partitioning with numbers up to 9,999 4b) Add multiples of 1, 10, 100 and 1,000 to a number (up to 9,999) 4c) Add numbers up to 4-digits using formal method of column addition 4d) Solve addition missing number problems (up to 9,999 with regrouping) Subtraction 3e) Subtract multiples of 10 or 100 from a number (up to 999) – including regrouping / bridging 3f) Subtract a 3-digit number and ones (up to 999) 3g) Subtract a 3-digit number and tens (up to 999) 3h) Subtract a 3-digit number and hundreds (up to 999) 3k) Subtract numbers up to 3-digits using formal method of column subtraction 3l) Solve subtraction missing number problems (up to 999 with regrouping) 4e) Subtract multiples of 1, 10, 100 and 1,000 from a number (up to 9,999) 4f) Subtract numbers up to 4-digits using formal method of column subtraction 4g) Solve subtraction missing number problems (up to 9,999 with regrouping) |
Multiplication 3m) Multiply a 2-digit by a 1-digit number (2, 3, 4, 5 and 8) 3n) Multiply more than two numbers together (2, 3, 4, 5, 8 and 10) 3o) Solve multiplication missing number problems (2, 3, 4, 5, 8 and 10) 4h) Use place value, known and derived facts to multiply (e.g. 4000 x 5) 4i) Multiply a number by 0 and 1 4j) Multiply 2- and 3-digit numbers by a 1-digit number using a formal written method 4k) Multiply together three numbers (all times tables) Division 3p) Use known multiplication facts to create associated division facts (2, 3, 4, 5, 8 and 10) 3q) Solve division missing number problems (2, 3, 4, 5, 8 and 10) 4l) Use place value, known and derived facts to multiply (e.g. 1400 ÷ 7) 4m) Use known multiplication facts to create associated division facts (all times tables), knowledge of inverse 4n) Divide a number by 0 and 1 |
Fractions 3r) Add fractions with the same denominator within one whole 3s) Subtract fractions with the same denominator within one whole 3t) Find fractions of quantities (up to 100) where the denominator is 2, 3, 4, 5, 8 or 10 4o) Add fractions with the same denominator where the answer may be an improper fraction 4p) Subtract fractions with the same denominator where the answer may be an improper fraction 4q) Find fractions of quantities using known multiplication facts |
Addition 4r) Add using up to two decimal places (to either a whole number or where numbers have the same number of decimal places) Subtraction 4s) Subtract using up to two decimal places (from either a whole number or where numbers have the same number of decimal places) |
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Year 5 |
Addition 4a) Apply knowledge of partitioning with numbers up to 9,999 4b) Add multiples of 1, 10, 100 and 1,000 to a number (up to 9,999) 4c) Add numbers up to 4-digits using formal method of column addition 4d) Solve addition missing number problems (up to 9,999 – with regrouping) 5a) Add multiples of 10, 100, 1,000, 10,000 and 100,000 to a number (up to 999,999) 5b) Add numbers with more than 4-digits using formal method of column addition 5c) Apply knowledge of partitioning with numbers up to 1,000,000 Subtraction 4e) Subtract multiples of 1, 10, 100 and 1,000 from a number (up to 9,999) 4f) Subtract numbers up to 4- digits using formal method of column subtraction 4g) Solve subtraction missing number problems (up to 9,999 – with regrouping) 5d) Subtract multiples of 10, 100, 1,000, 10,000 and 100,000 from a number (up to 999,999) 5e) Subtract numbers with more than 4-digits using formal method of column subtraction |
Multiplication 4h) Use place value, known and derived facts to multiply (e.g. 4000 x 5) 4i) Multiply a number by 0 and 1 4j) Multiply 2- and 3-digit numbers by a 1-digit number using a formal written method 4k) Multiply together three numbers (all times tables) 5f) Multiply numbers up to 4- digits by a 1-digit or 2-digit number 5g) Multiply whole numbers by 10, 100 and 1,000 (where the answer is no greater than 999,999) 5h) Multiply multiples of 10 by 10, 100 or 1,000 (e.g. 30 x 400) 5i) Solve problems using square and cube numbers Division 4l) Use place value, known and derived facts to multiply (e.g. 1400 ÷ 7) 4m) Use known multiplication facts to create associated division facts (all times tables), knowledge of inverse 4n) Divide a number by 0 and 1 5j) Divide numbers up to 4- digits by a 1-digit number using the formal written method of long division (recording a remainder where required) |
Fractions 4o) Add fractions with the same denominator where the answer may be an improper fraction 4p) Subtract fractions with the same denominator where the answer may be an improper fraction 4q) Find fractions of quantities using known multiplication facts 5k) Find fractions of quantities using formal calculation strategies Addition 4r) Add using up to two decimal places (to either a whole number or where numbers have the same number of decimal places) 5l) Add decimals up to 3 d.p. (where two numbers have a different number of decimal places e.g. 14.7 + 8.655) Subtraction 4s) Subtract using up to two decimal places (from either a whole number or where numbers have the same number of decimal places) 5m) Subtract decimals up to 3 d.p. (where two numbers have a different number of decimal places e.g. 14.7 - 8.657) |
Fractions 5n) Add fractions where there are different denominators, and one fraction is a multiple of the other (and one fraction may be a mixed number) 5o) Add a fraction and a mixed number, where there are different denominators, and one fraction is a multiple of the other 5p) Add two mixed numbers, where there are different denominators, and one fraction is a multiple of the other 5q) Subtract fractions where there are different denominators, and one fraction is a multiple of the other (and one fraction may be a mixed number) 5r) Subtract a fraction and a mixed number, where there are different denominators, and one fraction is a multiple of the other 5s) Subtract two mixed numbers, where there are different denominators, and one fraction is a multiple of the other 5t) Multiply proper fractions by whole numbers 5u) Multiply mixed numbers by whole numbers Percentages 5v) Find 10% of a number 5w) Find a multiple of 10% of a number 5x) Find 5% of a number |
Multiplication 5y) Multiply decimal numbers by 10, 100 and 1,000 where the quotient may be a decimal Division 5z) Divide whole numbers by 10, 100 and 1,000 (where the quotient contains a decimal, and the dividend may contain a decimal) |
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Year 6 |
Addition 6a) Add multiples of 10, 100, 1,000, 10,000, 100,000 and 1,000,000 to a number (up to 9,999,999) 6b) Add and subtract using negative numbers through zero 6c) Use BIDMAS to identify the correct order of operations Subtraction 6d) Subtract multiples of 10, 100, 1,000, 10,000, 100,000 and 1,000,000 from a number up to 9,999,999) Multiplication 6e) Multiply a 4-digit number by a 2- digit number using the formal method of multiplication 6f) Multiply one-digit numbers with up to two decimal places by whole numbers 6g) Multiply a tenths number that is less than one by a multiple of 10 or 100 (e.g. 0.4 x 60) 6h) Multiply a number with decimals by a two-digit number using the formal method of long multiplication (e.g. 5.1 x 28) Division 6i) Divide numbers up to 4 digits by a 2-digit number using the formal written method of long division (where there may be a remainder) 6j) Divide numbers up to 4 digits by a 1-digit number using the formal written method of short division ( where there may be a remainder ) Fractions 6k) Add and subtract fractions with different denominators (using two or three fractions) 6l) Add and subtract a mixed number to a fraction where there are different denominators 6m) Multiply pairs of proper fractions 6n) Divide proper fractions by whole numbers Percentages 6o) Find a multiple of 5% of a number 6p) Find 1% of a number 6q) Find a multiple of 1% of a number |
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