Pupils should be taught to:
KS2.Y5.N.NPV.1 – Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
Samples: Write numbers – to 100,000. Ordering Large Numbers. Ordering large numbers No:1. Ordering large numbers No:2.
KS2.Y5.N.NPV.2 – Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
KS2.Y5.N.NPV.3 – Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0
Samples: Integers on a number line.
KS2.Y5.N.NPV.4 – Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
KS2.Y5.N.NPV.5 – Solve number problems and practical problems that involve all of the above
Samples: Large numbers presented in tables. Numbers. Numbers Problem Solving. Number Operations 1 Extension.
KS2.Y5.N.NPV.6 – Read Roman numerals to 1,000 (M) and recognise years written in Roman numerals
Pupils should be taught to:
KS2.Y5.N.AS.1 – Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
Samples: Addition Of Five Digit Numbers. Adding on to Multiples of 10. Addition of large numbers.
KS2.Y5.N.AS.2 – Add and subtract numbers mentally with increasingly large numbers
Samples: Addition of four digit numbers. Subtraction of four digit numbers. Subtracting from lots of 1000.
KS2.Y5.N.AS.3 – Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
Samples: Adding on to multiples of 10 - 1. Subtracting large numbers. Adding on to multiples of 10 - 2.
KS2.Y5.N.AS.4 – Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Pupils should be taught to:
KS2.Y5.N.MD.1 – Identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers
Samples: Identifying multiples. Common factors. How many factors?.
KS2.Y5.N.MD.2 – Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
Samples: Prime and Composite Numbers. Identifying prime numbers.
KS2.Y5.N.MD.3 – Establish whether a number up to 100 is prime and recall prime numbers up to 19
Samples: Identifying prime numbers < 100 (puzzle).
KS2.Y5.N.MD.4 – Multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
Samples: 11x Multiplication facts (times tables). 12x Multiplication facts (times tables). Long Multiplications.
KS2.Y5.N.MD.5 – Multiply and divide numbers mentally, drawing upon known facts
Samples: Multiply a two digit number by a multiple of ten. Long Multiplication. Three digit division (with remainders).
KS2.Y5.N.MD.6 – Divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
Samples: Division with no remainders. Division (estimation) - 1. Division - large numbers (no remainders).
KS2.Y5.N.MD.7 – Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
Samples: Multiplying by 10. Multiplying by 100. Multiplying By Multiples Of 10. Dividing Whole Numbers by 100.
KS2.Y5.N.MD.8 – Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
Samples: Squaring numbers. Square root. Square root. Index notation: Activity 1. Square roots: Activity 1.
KS2.Y5.N.MD.9 – Solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
Samples: Identifying factors. Challenge puzzle - identifying prime numbers. Index notation (puzzle).
KS2.Y5.N.MD.10 – Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
Samples: Challenge puzzle - flow diagram. Equivalent number sentences (written form). Identifying expressions.
KS2.Y5.N.MD.11 – Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates
Samples: Multiplying Multiples of 10 with a missing number. Problem Solving: Multiplication.
Pupils should be taught to:
KS2.Y5.N.F.1 – Compare and order fractions whose denominators are all multiples of the same number
Samples: Comparing Fractions. Compare fractions to a half. Comparing fractions - identify the smallest.
KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
Samples: Equivalence. Matching equivalent fractions. Hundredths in their lowest forms.
KS2.Y5.N.F.3 – Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, â…– + â…˜ = 6/5 = 1 â…• ]
Samples: Converting Mixed Numbers To Improper Fractions. Converting Improper Fractions. Adding mixed fractions.
KS2.Y5.N.F.4 – Add and subtract fractions with the same denominator, and denominators that are multiples of the same number
Samples: Add Subtract Related Fractions USA. Adding fractions - Tenths and Hundredths.
KS2.Y5.N.F.5 – Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
Samples: Multiplying fractions by a whole number - visual. Multiplying Mixed Fractions.
KS2.Y5.N.F.6 – Read and write decimal numbers as fractions [for example, 0.71 = 71/100 ]
Samples: Changing mixed fractions to decimals.
KS2.Y5.N.F.7 – Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
Samples: Read and write decimals in the thousandths. thousandths - identifying the value of digits.
KS2.Y5.N.F.8 – Round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
KS2.Y5.N.F.9 – Read, write, order and compare numbers with up to 3 decimal places
Samples: Compare and order decimals: Activity 1. Comparing decimals in the thousandths.
KS2.Y5.N.F.10 – Solve problems involving number up to 3 decimal places
Samples: Adding Decimals. Subtracting Decimals. Multiplying Decimals By A Single Digit Number. Calculations involving money.
KS2.Y5.N.F.11 – Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction
Samples: Representing Fractions As Percentage. Percentages as Decimals.
KS2.Y5.N.F.12 – Solve problems which require knowing percentage and decimal equivalents of ½ , ¼ , â…• , â…– , â…˜ and those fractions with a denominator of a multiple of 10 or 25
Samples: Calculating Percentages. Fractions of numbers - 1. Percentages of numbers (answers whole numbers).
Pupils should be taught to:
KS2.Y5.M.1 – Convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
Samples: Units of measure. Converting between Kilometres and Metres tutorial. Converting between grams and kilograms.
KS2.Y5.M.2 – Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
Samples: Customary units - converting. Measuring capacity using different units.
KS2.Y5.M.3 – Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
Samples: Calculating the Area of Irregular Shapes. Perimeter of Regular Shapes. Area of Squares and Rectangles.
KS2.Y5.M.4 – Calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes
Samples: Area in daily use. Area Problem Solving. Area Problem Solving. Area Problem Solving. Area Problem Solving.
KS2.Y5.M.5 – Estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]
Samples: Comparing the volume of liquids tutorial. Comparing the volume of liquids no.2 tutorial. Volume and Capacity.
KS2.Y5.M.6 – Solve problems involving converting between units of time
Samples: Interpret timetables. Time Problem Solving.
KS2.Y5.M.7 – Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling
Samples: Length - using decimals and matching equivalence.
Pupils should be taught to:
KS2.Y5.G.PS.1 – Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
Samples: Grouping two dimensional shapes based on their attributes. Identifying corners on 3D objects. Naming 3D Objects.
KS2.Y5.G.PS.2 – Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
Samples: Identifying angles at intersecting lines. Naming angles within shapes. Naming angles: Activity 1.
KS2.Y5.G.PS.3 – Draw given angles, and measure them in degrees (°)
Samples: Measure and name angles. Estimate, measure and compare angles: Activity 1. Using a protractor to measure angles.
KS2.Y5.G.PS.4 – Identify:
KS2.Y5.G.PS.4.a: angles at a point and 1 whole turn (total 360°)
Samples: Angles within a circle.
KS2.Y5.G.PS.4.b: angles at a point on a straight line and half a turn (total 180°)
Samples: Angles on a Straight Line. Angles Problem Solving. Angles Problem Solving.
KS2.Y5.G.PS.4.c: other multiples of 90°
KS2.Y5.G.PS.4.d: use the properties of rectangles to deduce related facts and find missing lengths and angles
KS2.Y5.G.PS.4.e:distinguish between regular and irregular polygons based on reasoning about equal sides and angles
Samples: Angles of Polygons.
Pupils should be taught to:
KS2.Y5.G.PD.1 – Identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed
Samples: Translations, reflections or rotations: Activity 1. Line of symmetry. Rotational symmetry.
Pupils should be taught to:
KS2.Y5.S.1 – Solve comparison, sum and difference problems using information presented in a line graph
Samples: Line graphs.
KS2.Y5.S.2 – Complete, read and interpret information in tables, including timetables
Samples: Interpret timetables. Time Problem Solving.