## Mathematics – United Kingdom – National Curriculum

• ##### KS2.Y5.N.NPV – Number - number and place value
• 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

• 2 learning outcomes – click to view

Samples: Write numbers – to 100,000. Ordering Large Numbers. Ordering large numbers No:1. Ordering large numbers No:2.

• #### Write numbers – to 100,000

• Activities: 1 course, 0 extra
• #### Ordering large numbers

• Activities: 1 course, 2 extra
• 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

• 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

• 2 learning outcomes – click to view

Samples: Large numbers presented in tables. Numbers. Numbers Problem Solving. Number Operations 1 Extension.

• #### Large numbers presented in tables

• Activities: 1 course, 0 extra
• #### Problem Solving

• Activities: 1 course, 5 extra
• KS2.Y5.N.NPV.6 – Read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

• ##### KS2.Y5.N.AS – Number - addition and subtraction
• 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)

• 4 learning outcomes – click to view

Samples: Addition Of Five Digit Numbers. Adding on to Multiples of 10. Addition of large numbers.

• #### Addition of large numbers

• Activities: 4 course, 10 extra
• #### Adding on to multiples of 10

• Activities: 2 course, 0 extra
• #### Addition and Subtraction Revision

• Activities: 2 course, 2 extra
• #### Subtract from 1000

• Activities: 3 course, 0 extra
• KS2.Y5.N.AS.2 – Add and subtract numbers mentally with increasingly large numbers

• 4 learning outcomes – click to view

Samples: Addition of four digit numbers. Subtraction of four digit numbers. Subtracting from lots of 1000.

• #### Four digit addition (Skill 62)

• Activities: 5 course, 1 extra
• #### Four digit subtraction (Skill 63)

• Activities: 5 course, 1 extra
• #### Subtracting from 1000 (Skill 64)

• Activities: 5 course, 1 extra
• #### Subtracting from 10000 (Skill 65)

• Activities: 5 course, 1 extra
• KS2.Y5.N.AS.3 – Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

• 2 learning outcomes – click to view

Samples: Adding on to multiples of 10 - 1. Subtracting large numbers. Adding on to multiples of 10 - 2.

• #### Adding on to multiples of 10 - problem solving

• Activities: 2 course, 4 extra
• #### Subtracting large numbers - problem solving

• Activities: 2 course, 4 extra
• KS2.Y5.N.AS.4 – Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

• ##### KS2.Y5.N.MD – Number - multiplication and division
• 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

• 3 learning outcomes – click to view

Samples: Identifying multiples. Common factors. How many factors?.

• #### Identifying multiples

• Activities: 1 course, 0 extra
• #### Common factors

• Activities: 1 course, 0 extra
• #### How many factors?

• Activities: 1 course, 0 extra
• KS2.Y5.N.MD.2 – Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

• 2 learning outcomes – click to view

Samples: Prime and Composite Numbers. Identifying prime numbers.

• #### prime and Composite Numbers

• Activities: 1 course, 0 extra
• #### Identifying prime numbers

• Activities: 1 course, 0 extra
• KS2.Y5.N.MD.3 – Establish whether a number up to 100 is prime and recall prime numbers up to 19

• 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

• 4 learning outcomes – click to view

Samples: 11x Multiplication facts (times tables). 12x Multiplication facts (times tables). Long Multiplications.

• #### 11x tables - skills

• Activities: 2 course, 0 extra
• #### 12x tables - skills

• Activities: 2 course, 0 extra
• #### Long Multiplication

• Activities: 4 course, 2 extra
• #### Revision

• Activities: 5 course, 3 extra
• KS2.Y5.N.MD.5 – Multiply and divide numbers mentally, drawing upon known facts

• 5 learning outcomes – click to view

Samples: Multiply a two digit number by a multiple of ten. Long Multiplication. Three digit division (with remainders).

• #### Multiply a 2 digit number by a multiple of 10 (Skill 72)

• Activities: 4 course, 1 extra
• #### Long Multiplication (Skill 73)

• Activities: 4 course, 1 extra
• #### Three digit division - with remainders (Skill 74)

• Activities: 4 course, 1 extra
• #### Long multiplication - 3 digits by 2 digits (Skill 78)

• Activities: 4 course, 1 extra
• #### Long division (Skill 79)

• Activities: 4 course, 1 extra
• 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

• 3 learning outcomes – click to view

Samples: Division with no remainders. Division (estimation) - 1. Division - large numbers (no remainders).

• #### Dividing three digits by one digit - no remainders

• Activities: 4 course, 2 extra
• #### Division (estimation)

• Activities: 2 course, 0 extra
• #### Division - large numbers

• Activities: 2 course, 1 extra
• KS2.Y5.N.MD.7 – Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000

• 4 learning outcomes – click to view

Samples: Multiplying by 10. Multiplying by 100. Multiplying By Multiples Of 10. Dividing Whole Numbers by 100.

• #### Multiplying by 10

• Activities: 5 course, 3 extra
• #### Multiplying by 100

• Activities: 6 course, 3 extra
• #### Multiplying by multiples of 10

• Activities: 2 course, 3 extra
• #### Dividing whole numbers by 100 and 1000

• Activities: 3 course, 0 extra
• KS2.Y5.N.MD.8 – Recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)

• 3 learning outcomes – click to view

Samples: Squaring numbers. Square root. Square root. Index notation: Activity 1. Square roots: Activity 1.

• #### Index notation.

• Activities: 3 course, 3 extra
• #### Square roots

• Activities: 3 course, 0 extra
• #### Square root

• Activities: 1 course, 0 extra
• KS2.Y5.N.MD.9 – Solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes

• 4 learning outcomes – click to view

Samples: Identifying factors. Challenge puzzle - identifying prime numbers. Index notation (puzzle).

• #### Identifying factors

• Activities: 1 course, 0 extra
• #### Identifying prime numbers

• Activities: 1 course, 0 extra
• #### Index notation

• Activities: 1 course, 0 extra
• #### Square roots

• Activities: 1 course, 0 extra
• 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

• 6 learning outcomes – click to view

Samples: Challenge puzzle - flow diagram. Equivalent number sentences (written form). Identifying expressions.

• #### Challenge puzzle - flow diagram

• Activities: 1 course, 0 extra
• #### Solve equivalent number sentences presented in written form

• Activities: 1 course, 0 extra
• #### Identifying expressions

• Activities: 1 course, 1 extra
• #### Brackets in number operations

• Activities: 1 course, 0 extra
• #### Brackets in number operations - Two Step

• Activities: 1 course, 0 extra
• #### Balancing equations - Equivalent number sentences

• Activities: 4 course, 0 extra
• KS2.Y5.N.MD.11 – Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

• 8 learning outcomes – click to view

Samples: Multiplying Multiples of 10 with a missing number. Problem Solving: Multiplication.

• #### Multiplying multiples of 10 - Missing Numbers

• Activities: 3 course, 4 extra
• #### Long Multiplication - problem solving

• Activities: 2 course, 5 extra
• #### Dividing multiples of 10 by a single digit number - problem solving

• Activities: 1 course, 2 extra
• #### Dividing three digits by one digit - no remainders - problem solving

• Activities: 0 course, 4 extra
• #### Division - large numbers - problem solving

• Activities: 2 course, 4 extra
• #### Division puzzle

• Activities: 1 course, 0 extra
• #### Division- Answers as fractions

• Activities: 1 course, 0 extra
• #### Division - Answers as fractions

• Activities: 1 course, 0 extra
• ##### KS2.Y5.N.F – Number - fractions (including decimals and percentages)
• Pupils should be taught to:

• KS2.Y5.N.F.1 – Compare and order fractions whose denominators are all multiples of the same number

• 5 learning outcomes – click to view

Samples: Comparing Fractions. Compare fractions to a half. Comparing fractions - identify the smallest.

• #### Compare and order fractions.

• Activities: 2 course, 1 extra
• #### Compare fractions to a half

• Activities: 1 course, 0 extra
• #### Comparing fractions - identify the smallest

• Activities: 1 course, 0 extra
• #### Comparing fractions - identify the largest

• Activities: 1 course, 0 extra
• #### Comparing fractions (< = >)

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.2 – Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

• 6 learning outcomes – click to view

Samples: Equivalence. Matching equivalent fractions. Hundredths in their lowest forms.

• #### Modelling equivalent fractions.

• Activities: 2 course, 2 extra
• #### Matching equivalent fractions

• Activities: 1 course, 0 extra
• #### Hundredths in their lowest forms

• Activities: 1 course, 0 extra
• #### Equivalence to a half - identifying the numerator

• Activities: 1 course, 0 extra
• #### Calculating equivalent fractions

• Activities: 4 course, 6 extra
• #### Reducing fractions to their simplest form.

• Activities: 2 course, 2 extra
• 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, ⅖ + ⅘ = 6/5 = 1 ⅕ ]

• 5 learning outcomes – click to view

Samples: Converting Mixed Numbers To Improper Fractions. Converting Improper Fractions. Adding mixed fractions.

• #### Converting mixed numbers to improper frac.

• Activities: 2 course, 0 extra
• #### Convert improper fractions to mixed numbers

• Activities: 2 course, 0 extra
• #### Adding mixed fractions

• Activities: 1 course, 0 extra
• #### Adding and subtracting fractions

• Activities: 1 course, 0 extra
• #### Solving (by division) improper fractions

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.4 – Add and subtract fractions with the same denominator, and denominators that are multiples of the same number

• 4 learning outcomes – click to view

Samples: Add Subtract Related Fractions USA. Adding fractions - Tenths and Hundredths.

• #### Addition and subtraction of fractions with the same denominators.

• Activities: 3 course, 0 extra
• #### Adding fractions - Tenths and Hundredths

• Activities: 1 course, 0 extra
• #### Addition and subtraction of related fractions.

• Activities: 4 course, 0 extra
• #### Adding fractions with the same denominators

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.5 – Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

• 2 learning outcomes – click to view

Samples: Multiplying fractions by a whole number - visual. Multiplying Mixed Fractions.

• #### Multiplying fractions by a whole number - visual

• Activities: 1 course, 0 extra
• #### Multiplying Mixed Fractions

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.6 – Read and write decimal numbers as fractions [for example, 0.71 = 71/100 ]

• KS2.Y5.N.F.7 – Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

• 3 learning outcomes – click to view

Samples: Read and write decimals in the thousandths. thousandths - identifying the value of digits.

• #### Read and write decimals in the thousandths

• Activities: 1 course, 0 extra
• #### Thousandths - identifying the value of digits

• Activities: 1 course, 0 extra
• #### Place value - thousandths

• Activities: 1 course, 0 extra
• 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

• 2 learning outcomes – click to view

Samples: Compare and order decimals: Activity 1. Comparing decimals in the thousandths.

• #### Compare and order decimals.

• Activities: 2 course, 1 extra
• #### Comparing decimals in the thousandths

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.10 – Solve problems involving number up to 3 decimal places

• 4 learning outcomes – click to view

Samples: Adding Decimals. Subtracting Decimals. Multiplying Decimals By A Single Digit Number. Calculations involving money.

• #### Adding decimals

• Activities: 5 course, 1 extra
• #### Subtracting decimals

• Activities: 5 course, 0 extra
• #### Multiplying decimals by a whole number

• Activities: 3 course, 4 extra
• #### Calculations involving money

• Activities: 1 course, 2 extra
• 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

• 2 learning outcomes – click to view

Samples: Representing Fractions As Percentage. Percentages as Decimals.

• #### Matching fractions, decimals and percentages.

• Activities: 3 course, 1 extra
• #### Percentages as Decimals

• Activities: 1 course, 0 extra
• KS2.Y5.N.F.12 – Solve problems which require knowing percentage and decimal equivalents of ½ , ¼ , ⅕ , ⅖ , ⅘ and those fractions with a denominator of a multiple of 10 or 25

• 2 learning outcomes – click to view

Samples: Calculating Percentages. Fractions of numbers - 1. Percentages of numbers (answers whole numbers).

• #### Calculating percentages

• Activities: 3 course, 1 extra
• #### Simple fractions of quantities - problem solving

• Activities: 2 course, 2 extra
• ##### KS2.Y5.M – Measurement
• 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]

• 5 learning outcomes – click to view

Samples: Units Of Measure Metric. Converting between units of length. Converting between liters and milliliters.

• #### Converting between kilometers and meters

• Activities: 2 course, 0 extra
• #### Converting between metric units of length.

• Activities: 1 course, 7 extra
• #### Converting between liters and milliliters

• Activities: 1 course, 0 extra
• #### Converting between grams and kilograms

• Activities: 1 course, 0 extra
• #### Convert units of mass - between kilograms and grams

• Activities: 5 course, 3 extra
• KS2.Y5.M.2 – Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

• 4 learning outcomes – click to view

Samples: Converting between inches and feet. Customary units - converting. Using formal units to estimate volume tutorial.

• #### Converting between inches and feet

• Activities: 1 course, 0 extra
• #### Customary Units - converting between customary units of length.

• Activities: 1 course, 0 extra
• #### Customary units

• Activities: 1 course, 2 extra
• #### Converting between pounds and ounces

• Activities: 1 course, 0 extra
• KS2.Y5.M.3 – Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

• 4 learning outcomes – click to view

Samples: Calculating the Area of Irregular Shapes. Perimeter of Regular Shapes. Area of Squares and Rectangles.

• #### Area of irregular shapes

• Activities: 3 course, 1 extra
• #### Perimeter of Regular Shapes

• Activities: 1 course, 0 extra
• #### Area of Squares and Rectangles

• Activities: 1 course, 0 extra
• #### Area of Irregular Shapes

• Activities: 1 course, 0 extra
• 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

• 1 learning outcomes – click to view

Samples: Area in daily use. Area Problem Solving. Area Problem Solving. Area Problem Solving. Area Problem Solving.

• #### Area

• Activities: 1 course, 5 extra
• KS2.Y5.M.5 – Estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]

• 1 learning outcomes – click to view

Samples: Comparing volume - pints, quarts and gallons tutorial. Volume and Capacity. Volume Problem Solving.

• #### Volume and Capacity

• Activities: 2 course, 4 extra
• KS2.Y5.M.6 – Solve problems involving converting between units of time

• KS2.Y5.M.7 – Use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling

• 7 learning outcomes – click to view

Samples: Length - using decimals and matching equivalence. Calculating distance in miles tutorial.

• #### Using decimals and matching equivalence.

• Activities: 1 course, 0 extra
• #### Distances on maps.

• Activities: 2 course, 0 extra
• #### How to calculate the area of squares and rectangles.

• Activities: 3 course, 0 extra
• #### Challenge Puzzle - area of irregular shapes

• Activities: 1 course, 0 extra
• #### Choosing appropriate units for measuring mass

• Activities: 2 course, 0 extra
• #### Mass

• Activities: 1 course, 0 extra
• #### Saving money and budgeting

• Activities: 1 course, 0 extra
• ##### KS2.Y5.G.PS – Geometry - properties of shapes
• Pupils should be taught to:

• KS2.Y5.G.PS.1 – Identify 3-D shapes, including cubes and other cuboids, from 2-D representations

• 4 learning outcomes – click to view

Samples: Grouping two dimensional shapes based on their attributes. Identifying corners on 3D objects. Naming 3D Objects.

• #### Grouping two dimensional shapes based on their attributes

• Activities: 1 course, 0 extra
• #### Describe the features of three-dimensional objects

• Activities: 4 course, 5 extra
• #### Naming three-dimensional objects

• Activities: 2 course, 3 extra
• #### Nets of three dimensional objects

• Activities: 4 course, 2 extra
• KS2.Y5.G.PS.2 – Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

• 2 learning outcomes – click to view

Samples: Identifying angles at intersecting lines. Naming angles within shapes. Naming angles: Activity 1.

• #### Classify angles by naming them.

• Activities: 4 course, 1 extra
• #### Naming angles within shapes

• Activities: 1 course, 0 extra
• KS2.Y5.G.PS.3 – Draw given angles, and measure them in degrees (°)

• 2 learning outcomes – click to view

Samples: Measure and name angles. Estimate, measure and compare angles: Activity 1. Using a protractor to measure angles.

• #### Measure and classify angles.

• Activities: 1 course, 2 extra
• #### Estimating, measuring and comparing angles

• Activities: 2 course, 0 extra
• KS2.Y5.G.PS.4 – Identify:

• KS2.Y5.G.PS.4.a: angles at a point and 1 whole turn (total 360°)

• KS2.Y5.G.PS.4.b: angles at a point on a straight line and half a turn (total 180°)

• 1 learning outcomes – click to view

Samples: Angles on a Straight Line. Angles Problem Solving. Angles Problem Solving.

• #### Angle sum of straight lines, triangles and quadrilaterals.

• Activities: 1 course, 4 extra
• 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

• ##### KS2.Y5.G.PD – Geometry - position and direction
• 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

• 4 learning outcomes – click to view

Samples: Translations, reflections or rotations: Activity 1. Line of symmetry. Rotational symmetry.

• #### Identify translations, reflections and rotations.

• Activities: 2 course, 0 extra
• #### Identify line of symmetry.

• Activities: 1 course, 0 extra
• #### Identify rotational symmetry.

• Activities: 0 course, 1 extra
• #### Identify combinations of translations, reflections and rotations.

• Activities: 1 course, 0 extra
• ##### KS2.Y5.S – Statistics
• Pupils should be taught to:

• KS2.Y5.S.1 – Solve comparison, sum and difference problems using information presented in a line graph

• KS2.Y5.S.2 – Complete, read and interpret information in tables, including timetables