Pupils should be taught to:
KS2.Y6.N.NPV.1 – Read, write, order and compare numbers up to 10,000,000 and determine the value of each digit
KS2.Y6.N.NPV.2 – Round any whole number to a required degree of accuracy
KS2.Y6.N.NPV.3 – Use negative numbers in context, and calculate intervals across 0
KS2.Y6.N.NPV.4 – Solve number and practical problems that involve all of the above
Samples: Order of Operations. Numbers. Numbers Problem Solving. Number Operations 1 Extension. Number Operations 2 Extension.
Pupils should be taught to:
KS2.Y6.N.ASMD.1 – Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
KS2.Y6.N.ASMD.2 – Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
Samples: Long division - no remainders. Long division.
KS2.Y6.N.ASMD.3 – Divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
KS2.Y6.N.ASMD.4 – Perform mental calculations, including with mixed operations and large numbers
Samples: Short multiplication (missing number). Adding large numbers. Subtraction of large numbers.
KS2.Y6.N.ASMD.5 – Identify common factors, common multiples and prime numbers
KS2.Y6.N.ASMD.6 – Use their knowledge of the order of operations to carry out calculations involving the 4 operations
Samples: Order of operations eg 56 + 7 x 3. Order of operations eg 126 - 6 x 7. Order of operations: Activity 1.
KS2.Y6.N.ASMD.7 – Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Samples: Balancing equations Addition of larger numbers. Two step problem solving (addition and subtraction).
KS2.Y6.N.ASMD.8 – Solve problems involving addition, subtraction, multiplication and division
Samples: Two step problem solving. Two step problem solving. Two step problem solving. Two step problem solving. Long division.
KS2.Y6.N.ASMD.9 – Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
Pupils should be taught to:
KS2.Y6.N.F.1 – Use common factors to simplify fractions; use common multiples to
Samples: Simplifying answers to their lowest form. Converting improper fractions to mixed fractions (in equations).
KS2.Y6.N.F.2 – Express fractions in the same denomination
KS2.Y6.N.F.3 – Compare and order fractions, including fractions >1
Samples: Compare fractions to a half. Comparing fractions - identify the smallest.
KS2.Y6.N.F.4 – Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
Samples: Addition of fractions with unlike denominators (with clues). Addition of fractions with unlike denominators.
KS2.Y6.N.F.5 – Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = â…› ]
Samples: Multiplying Fractions - Fraction by Fraction. Fractions Problem Solving. Fractions Problem Solving.
KS2.Y6.N.F.6 – Divide proper fractions by whole numbers [for example, â…“ ÷ 2 = â…™ ]
Samples: Multiplying fractions by a whole number - visual. Division - Answers as fractions.
KS2.Y6.N.F.7 – Associate a fraction with division and calculate decimal fraction
KS2.Y6.N.F.8 – Equivalents [for example, 0.375] for a simple fraction [for example, â…œ ]
KS2.Y6.N.F.9 – Identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
Samples: thousandths - identifying the value of digits. Dividing Whole Numbers by 10. Multiplying Decimals By 10.
KS2.Y6.N.F.10 – Multiply one-digit numbers with up to 2 decimal places by whole numbers
Samples: Multiplying Decimals By A Single Digit Number. Multiplying decimals by a whole number.
KS2.Y6.N.F.11 – Use written division methods in cases where the answer has up to 2 decimal places
KS2.Y6.N.F.12 – Solve problems which require answers to be rounded to specified degrees of accuracy
Samples: Rounding Decimals to Whole Numbers. Division (estimation) - 1. Division (estimation) - 2.
KS2.Y6.N.F.13 – Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
Samples: Increasing by a Percentage. Simple Interest. Decreasing by a Percentage. Percentages as Decimals.
Pupils should be taught to:
KS2.Y6.RP.1 – Solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts
Samples: Simplifying Ratios. Calculating Equivalent Ratios.
KS2.Y6.RP.2 – Solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison
Samples: Simple Quantities (fractions of whole numbers). Fractions of numbers - 1. Simple fractions of quantities.
KS2.Y6.RP.3 – Solve problems involving similar shapes where the scale factor is known or can be found
KS2.Y6.RP.4 – Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Samples: Simplifying Ratios Involving Units. Problem Solving - Unitary Method.
Pupils should be taught to:
KS2.Y6.A.1 – Use simple formulae
Samples: Equivalent number sentences (written form). Identifying expressions. Identifying Expressions.
KS2.Y6.A.2 – Generate and describe linear number sequences
Samples: Continue number patterns (multiplication). Rules defining number patterns.
KS2.Y6.A.3 – Express missing number problems algebraically
Samples: Applying rules to number tables. Continuing number sequences including fractions and decimals.
KS2.Y6.A.4 – Find pairs of numbers that satisfy an equation with 2 unknowns
Samples: Substituting numbers for letters. Subtraction of Like Terms. Input - Output. Input - Output. Number Pattern Tables.
KS2.Y6.A.5 – Enumerate possibilities of combinations of 2 variables
Samples: Represent problems using algebraic equation. Substituting Numerals 1. Algebraic Techniques.
Pupils should be taught to:
KS2.Y6.M.1 – Solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate
KS2.Y6.M.2 – Use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places
KS2.Y6.M.3 – Convert between miles and kilometres
KS2.Y6.M.4 – Recognise that shapes with the same areas can have different perimeters and vice versa
KS2.Y6.M.5 – Recognise when it is possible to use formulae for area and volume of shapes
Samples: Cubic Cm Rectangular Prism. Volume Extension. Circumference of a Circle. Volume Rectangular Prism. Volume Extension.
KS2.Y6.M.6 – Calculate the area of parallelograms and triangles
Samples: Area of Triangles. Area of Parallelograms.
KS2.Y6.M.7 – Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]
Samples: Volume of a Cylinder.
Pupils should be taught to:
KS2.Y6.G.PS.1 – Draw 2-D shapes using given dimensions and angles
KS2.Y6.G.PS.2 – Recognise, describe and build simple 3-D shapes, including making nets
Samples: Matching - three-dimensional objects with their nets. Identifying the nets of three-dimensional shapes.
KS2.Y6.G.PS.3 – Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
Samples: Naming prisms and pyramids. Angles on a Triangle. Angles in Quadrilaterals. Angles of Polygons. Prisms and pyramids.
KS2.Y6.G.PS.4 – Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
Samples: Angles within a circle. Parts of a circle. Learn the parts of a circle. Parts of a circle.
KS2.Y6.G.PS.5 – Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles
Samples: Angles on a Straight Line. Challenge puzzle - angles. Exterior Angles. Angles Problem Solving. Angles Problem Solving.
Pupils should be taught to:
KS2.Y6.G.PD.1 – Describe positions on the full coordinate grid (all 4 quadrants)
Samples: Cartesian coordinate system: Activity 1. Cartesian coordinate system: Activity 2.
KS2.Y6.G.PD.2 – Draw and translate simple shapes on the coordinate plane, and reflect them in the axes
Pupils should be taught to:
KS2.Y6.G.S.1 – Interpret and construct pie charts and line graphs and use these to solve problems
Samples: Interpreting column graphs - 6. Line graphs. Interpret a pie graph. Data Problem Solving.
KS2.Y6.G.S.2 – Calculate and interpret the mean as an average
Samples: Median, Range and Mean. Chance Fraction. Chance from 0 to 1. Chance Problem Solving. Chance Problem Solving.