Mathematics at Ark Kings

At Ark Kings Academy, our Mathematics curriculum strives towards the following aims:

  1. Pupils become proficient mathematicians that are fluent in the fundamentals of mathematics and reason mathematically
  2. 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

    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.

    Autumn 1

    Autumn 2

    Spring 1

    Spring 2

    Summer 1

    Summer 2

    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.

    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

    Recognises some numerals.

    Mark make to write numerals

    Use comparative language to compare

    Find the total of 2 sets of objects
    Maths Mastery Unit “Early Mathematical Experiences”

    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

    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.

    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.

    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

    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

    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

    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

    Year 7

    Place Value

    Arithmetic (calculating)

    Factors and multiples

    Order of operations

    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

    Ratio

    Percentages

    Year 8

    Equations (including ‘unknown on both sides’)

    Sequences

    Inequalities

    Linear graphs

    Accuracy (rounding)

    Estimation

    Real life graphs and rate of change

    Direct and inverse proportion

    Univariate data (statistics: graphs and charts)

    Bivariate data (scatter graphs)

    Angles in polygons

    Bearings

    Circles

    Volume of prisms

    Surface area of prisms

    Year 9

    Fractions, decimals and percentages review

    Probability

    Sets, Venn diagrams and sample space diagrams

    Simultaneous equations:

    Solving algebraically

    Solving graphically

    Angles review

    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

    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

    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

    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

    Inequalities

    Probability

    Year 11
    Foundation

    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

    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
    Rearranging formulae, algebraic fractions, further solving, rationalising surds, proof

    Vectors and geometric proof

    Reciprocal and exponential graphs; Gradient and area under graphs

    Direct and inverse proportion

    Revision and Exams

    Revision and Exams

     

    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.

    Autumn 1

    Autumn 2

    Spring 1

    Spring 2

    Summer 1

    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

    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)

    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

    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)

    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)

    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