Mathematics – United Kingdom – National Curriculum

• KS2.Y4.N.NPV – Number - number and place value
• Pupils should be taught to:

• KS2.Y4.N.NPV.1 – Count in multiples of 6, 7, 9, 25 and 1,000

• 3 learning outcomes – click to view

Samples: Groups of 6. Groups of 7. Groups of 9. Rows of 6. Rows of 7. Rows of 9.

• Groups and rows of 6

• Activities: 2 course, 0 extra
• Groups and rows of 7

• Activities: 2 course, 0 extra
• Groups and rows of 9

• Activities: 2 course, 0 extra
• KS2.Y4.N.NPV.2 – Find 1,000 more or less than a given number

• KS2.Y4.N.NPV.3 – Count backwards through 0 to include negative numbers

• KS2.Y4.N.NPV.4 – Recognise the place value of each digit in a four-digit number (1,000s, 100s, 10s, and 1s)

• 2 learning outcomes – click to view

Samples: Writing large numbers - four digits. Expanded Notation. Expanded notation: Activity 1. Expanded notation.

• Writing large numbers - four digits

• Activities: 1 course, 0 extra
• Expanded notation

• Activities: 2 course, 4 extra
• KS2.Y4.N.NPV.5 – Order and compare numbers beyond 1,000

• 2 learning outcomes – click to view

Samples: Place Value to 1000. Great than or Less than. Identifying place value to 10000.

• Place Value to 10000

• Activities: 2 course, 12 extra
• Comparing numbers to 10,000 (<,=,>)

• Activities: 2 course, 1 extra
• KS2.Y4.N.NPV.6 – Identify, represent and estimate numbers using different representations

• 4 learning outcomes – click to view

Samples: Expanded Notation Part 1. Placing Decimals On A Number Line. Compare and order decimals: Activity 1.

• Identifying the place value of digits - numbers to 10000

• Activities: 3 course, 1 extra
• Decimals on a number line.

• Activities: 2 course, 2 extra
• Compare and order decimals.

• Activities: 2 course, 1 extra
• Paying for goods and services

• Activities: 1 course, 3 extra
• KS2.Y4.N.NPV.7 – Round any number to the nearest 10, 100 or 1,000

• 2 learning outcomes – click to view

Samples: Rounding numbers to the nearest 10. Round to the nearest 100 - round up or down?. Rounding numbers to ten.

• Rounding numbers to the nearest multiple of 10.

• Activities: 6 course, 3 extra
• Round to the nearest 100

• Activities: 2 course, 0 extra
• KS2.Y4.N.NPV.8 – Solve number and practical problems that involve all of the above and with increasingly large positive numbers

• 4 learning outcomes – click to view

Samples: Challenge puzzle. Ordering large numbers. Large numbers presented in tables. Paying for goods.

• Challenge puzzle - Odd and Even Numbers

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

• Activities: 1 course, 6 extra
• Large numbers presented in tables

• Activities: 1 course, 0 extra
• Paying for goods and calculating totals

• Activities: 1 course, 6 extra
• KS2.Y4.N.NPV.9 – Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place value

• KS2.Y4.N.AS – Number - addition and subtraction
• Pupils should be taught to:

• KS2.Y4.N.AS.1 – Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

• 14 learning outcomes – click to view

Samples: Place value - 'Adding On' single digit numbers. Place value - Two digit addition without trading.

• Place value - 'Adding On' single digit numbers

• Activities: 1 course, 0 extra
• Place value - Adding two digit numbers (no regrouping)

• Activities: 1 course, 0 extra
• Adding multiples of 10

• Activities: 2 course, 4 extra
• Place value - Adding three digit numbers (no regrouping)

• Activities: 1 course, 0 extra
• Make 100

• Activities: 2 course, 2 extra
• Adding three numbers

• Activities: 5 course, 10 extra
• Subtracting 10 - Blocks as visual cues

• Activities: 1 course, 0 extra
• Subtracting multiples of 10 - Blocks as visual cues

• Activities: 1 course, 0 extra
• Place value - Subtract three digit numbers

• Activities: 1 course, 0 extra
• Subtracting two digit numbers (adding on)

• Activities: 3 course, 0 extra
• Subtracting two digit numbers (jump back strategy)

• Activities: 4 course, 16 extra
• Subtracting two digit numbers (written strategy)

• Activities: 5 course, 10 extra
• Subtracting two digit numbers

• Activities: 1 course, 1 extra
• Subtracting large numbers

• Activities: 4 course, 14 extra
• KS2.Y4.N.AS.2 – Estimate and use inverse operations to check answers to a calculation

• 6 learning outcomes – click to view

Samples: Addition of three digit numbers. Mental strategy for adding 3 numbers. Adding three numbers.

• Three digit addition (Skill 48)

• Activities: 5 course, 7 extra
• Mental strategies for adding 3 numbers (Skill 60)

• Activities: 5 course, 1 extra
• Adding 3 numbers (Skill 61)

• Activities: 4 course, 7 extra
• Four digit addition (Skill 62)

• Activities: 5 course, 7 extra
• Four digit subtraction (Skill 63)

• Activities: 5 course, 7 extra
• Subtracting from 1000 (Skill 64)

• Activities: 5 course, 7 extra
• KS2.Y4.N.AS.3 – Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

• 4 learning outcomes – click to view

Samples: Adding large numbers (problem solving). Addition of large numbers (puzzle). Subtraction - missing number.

• Adding large numbers (problem solving)

• Activities: 2 course, 9 extra
• Addition of large numbers (puzzle)

• Activities: 1 course, 0 extra
• Subtraction - missing number

• Activities: 1 course, 2 extra
• Two step problem solving (addition and subtraction)

• Activities: 1 course, 0 extra
• KS2.Y4.N.MD – Number - multiplication and division
• Pupils should be taught to:

• KS2.Y4.N.MD.1 – Recall multiplication and division facts for multiplication tables up to 12 × 12

• 8 learning outcomes – click to view

Samples: 6x tables. 7x tables. 9x tables. 11x tables. 12x tables. Dividing by 6. Dividing by 7. Dividing by 9. 6x tables. 7x tables.

• 6x tables

• Activities: 3 course, 5 extra
• 7x tables

• Activities: 3 course, 6 extra
• 9x tables

• Activities: 3 course, 6 extra
• 11x tables

• Activities: 2 course, 1 extra
• 12x tables

• Activities: 2 course, 1 extra
• Dividing by 6

• Activities: 2 course, 1 extra
• Dividing by 7

• Activities: 2 course, 1 extra
• Dividing by 9

• Activities: 2 course, 1 extra
• KS2.Y4.N.MD.2 – Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers

• 14 learning outcomes – click to view

Samples: 2x-10x tables. Division with no remainders. Multiplying by 10. Multiplying by 100. Six times tables (6x).

• 2x-10x tables

• Activities: 2 course, 7 extra
• Division facts

• Activities: 3 course, 8 extra
• Multiplying by 10

• Activities: 4 course, 7 extra
• Multiplying by 100

• Activities: 3 course, 8 extra
• 6x times tables (Skill 50)

• Activities: 4 course, 7 extra
• 7x times tables (Skill 51)

• Activities: 4 course, 7 extra
• 9x times tables (Skill 53)

• Activities: 4 course, 7 extra
• Multiplying by 10 (Skill 57)

• Activities: 5 course, 7 extra
• Multiplying by 100 (Skill 58)

• Activities: 5 course, 1 extra
• Multiplying lots of 10 by a single digit number (Skill 66)

• Activities: 5 course, 7 extra
• Mental strategies for short multiplication (Skill 68)

• Activities: 4 course, 1 extra
• Short multiplication (Skill 69)

• Activities: 4 course, 7 extra
• Dividing multiples of 10 by a single digit number (Skill 70)

• Activities: 4 course, 1 extra
• Dividing 3 digits by 1 digit - no remainders (Skill 71)

• Activities: 4 course, 7 extra
• KS2.Y4.N.MD.3 – Recognise and use factor pairs and commutativity in mental calculations

• 3 learning outcomes – click to view

Samples: Factors. Identifying multiples. Factor trees. Identifying factors: Activity 1. Identifying factors: Activity 1.

• Identifying factors

• Activities: 2 course, 1 extra
• Identifying multiples

• Activities: 1 course, 0 extra
• Factor trees

• Activities: 1 course, 0 extra
• KS2.Y4.N.MD.4 – Multiply two-digit and three-digit numbers by a one-digit number using formal written layout

• 3 learning outcomes – click to view

Samples: Multiplying 2 by 1 digit (mental strategy). Multiplying 2 by 1 digit (written strategy). Multiplying 2 by 1 digit.

• Multiplying 2 by 1 digit (mental strategy)

• Activities: 1 course, 2 extra
• Multiplying 2 by 1 digit (written strategy)

• Activities: 3 course, 11 extra
• Multiplying 2 by 1 digit

• Activities: 1 course, 10 extra
• KS2.Y4.N.MD.5 – Solve problems involving multiplying and adding, including using the distributive law to multiply two-digit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

• 13 learning outcomes – click to view

Samples: 6x Multiplication facts (times tables) - 1. 7x tables (problem solving). 9x tables (problem solving).

• 6x tables - problem solving

• Activities: 2 course, 3 extra
• 7x tables (problem solving)

• Activities: 2 course, 3 extra
• 9x tables (problem solving)

• Activities: 3 course, 5 extra
• 2x-10x tables (problem solving)

• Activities: 4 course, 4 extra
• 2x-10x tables - puzzle

• Activities: 1 course, 0 extra
• Multiplying by 10 or 100 (problem solving)

• Activities: 3 course, 6 extra
• Multiples of 10 by 1 digit - problem solving

• Activities: 0 course, 1 extra
• Multiplying multiples of 10 - puzzle

• Activities: 1 course, 0 extra
• Multiplying 2 digits by a 1 digit number - Puzzle

• Activities: 1 course, 0 extra
• Multiplying 2 by 1 digit (missing number)

• Activities: 2 course, 7 extra
• Dividing by 6 (problem solving)

• Activities: 3 course, 2 extra
• Dividing by 7 (problem solving)

• Activities: 3 course, 2 extra
• Division facts (problem solving)

• Activities: 2 course, 7 extra
• KS2.Y4.N.F – Number - fractions (including decimals)
• Pupils should be taught to:

• KS2.Y4.N.F.1 – Recognise and show, using diagrams, families of common equivalent fractions

• 2 learning outcomes – click to view

Samples: Matching equivalent fractions. Equivalence. Modelling equivalent fractions.

• Matching equivalent fractions

• Activities: 1 course, 0 extra
• Modelling equivalent fractions.

• Activities: 2 course, 3 extra
• KS2.Y4.N.F.2 – Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10

• 3 learning outcomes – click to view

Samples: Recognizing Naming Hundredths. Introduction to decimals: Activity 1. Converting tenths and hundredths to decimals.

• Tenths and hundredths.

• Activities: 3 course, 4 extra
• Introduction to decimals.

• Activities: 2 course, 0 extra
• Converting tenths and hundredths to decimals

• Activities: 1 course, 0 extra
• KS2.Y4.N.F.3 – Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number

• 2 learning outcomes – click to view

Samples: Adding fractions - Tenths and Hundredths. Multiplying fractions by a whole number - visual.

• Adding fractions - Tenths and Hundredths

• Activities: 1 course, 0 extra
• Multiplying fractions by a whole number - visual

• Activities: 1 course, 0 extra
• KS2.Y4.N.F.4 – Add and subtract fractions with the same denominator

• 1 learning outcomes – click to view

Samples: Add Subtract Related Fractions USA. Adding and subtracting fractions with same denominators.

• Addition and subtraction of fractions with the same denominators.

• Activities: 3 course, 3 extra
• KS2.Y4.N.F.5 – Recognise and write decimal equivalents of any number of tenths or hundredths

• 1 learning outcomes – click to view

Samples: Comparing fractions and decimals - tenths and hundredths.

• Comparing fractions and decimals - tenths and hundredths

• Activities: 1 course, 0 extra
• KS2.Y4.N.F.6 – Recognise and write decimal equivalents to ¼ ,½ , ¾

• 1 learning outcomes – click to view

Samples: Equivalence between fractions and decimals: Activity 1. Equivalence between fractions and decimals: Activity 2.

• Equivalence between fractions and decimals.

• Activities: 2 course, 2 extra
• KS2.Y4.N.F.7 – Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths

• 1 learning outcomes – click to view

Samples: Dividing Whole Numbers by 10. Dividing a whole number by 10. Divide by 10. Dividing a whole number by 100.

• Dividing whole numbers by 10

• Activities: 4 course, 0 extra
• KS2.Y4.N.F.8 – Round decimals with 1 decimal place to the nearest whole number

• KS2.Y4.N.F.9 – Compare numbers with the same number of decimal places up to 2 decimal places

• 2 learning outcomes – click to view

Samples: Placing Decimals On A Number Line. Compare and order decimals: Activity 1. Decimals on the number line.

• Decimals on a number line.

• Activities: 2 course, 2 extra
• Compare and order decimals.

• Activities: 2 course, 1 extra
• KS2.Y4.N.F.10 – Solve simple measure and money problems involving fractions and decimals to 2 decimal places

• 3 learning outcomes – click to view

Samples: Divide whole numbers by fractions. Multiplying Decimals By A Single Digit Number. Fractions of numbers - 1.

• Divide whole numbers by fractions

• Activities: 1 course, 0 extra
• Multiplying decimals by a whole number

• Activities: 3 course, 6 extra
• Simple fractions of quantities - problem solving

• Activities: 2 course, 0 extra
• KS2.Y4.M – Measurement
• Pupils should be taught to:

• KS2.Y4.M.1 – Convert between different units of measure [for example, kilometre to metre; hour to minute]

• 4 learning outcomes – click to view

Samples: Converting between kilometres and metres. Converting between grams and kilograms.

• Converting between kilometres and metres

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

• Activities: 1 course, 0 extra
• Converting between litres and millilitres

• Activities: 1 course, 0 extra
• Convert between units of time

• Activities: 2 course, 1 extra
• KS2.Y4.M.2 – Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres

• 1 learning outcomes – click to view

Samples: Calculating Perimeter Regular Shapes. Perimeter of squares and rectangles. Calculating perimeter tutorial.

• Perimeter of squares and rectangles.

• Activities: 2 course, 4 extra
• KS2.Y4.M.3 – Find the area of rectilinear shapes by counting squares

• 2 learning outcomes – click to view

Samples: Area using square tiles. Measure using square centimetres. Measure area using a grid tutorial.

• Area using square tiles

• Activities: 1 course, 0 extra
• Comparing and measuring area using a grid.

• Activities: 3 course, 10 extra
• KS2.Y4.M.4 – Estimate, compare and calculate different measures, including money in pounds and pence

• 7 learning outcomes – click to view

Samples: Budgeting and Expenses. Paying with currencies from around the world. Different payment options. Units of measure.

• Budgeting

• Activities: 1 course, 0 extra
• Currencies around the world

• Activities: 2 course, 0 extra
• Different payment options

• Activities: 1 course, 0 extra
• Choose appropriate units when measuring length.

• Activities: 2 course, 3 extra
• Measure volume using centicubes

• Activities: 2 course, 6 extra
• Customary units

• Activities: 0 course, 1 extra
• Choosing appropriate units for measuring volume (mL or L)

• Activities: 1 course, 0 extra
• KS2.Y4.M.5 – Read, write and convert time between analogue and digital 12- and 24-hour clocks

• 1 learning outcomes – click to view

Samples: 24 hour time - am or pm. 24-hour time: Activity 2. 24-hour time: Activity 1. Twenty-four hour time.

• 24 hour time - am or pm

• Activities: 2 course, 7 extra
• KS2.Y4.M.6 – Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days

• 4 learning outcomes – click to view

Samples: Time - 'a.m.' and 'p.m.'. Challenge puzzle -perimeter. Two step problem solving. Two step problem solving.

• Use a.m. and p.m.

• Activities: 1 course, 1 extra
• Challenge puzzle -perimeter

• Activities: 1 course, 0 extra
• Two step problem solving

• Activities: 1 course, 0 extra
• Two step problem solving

• Activities: 1 course, 0 extra
• KS2.Y4.G.PS – Geometry - properties of shapes
• Pupils should be taught to:

• KS1.Y4.G.PS.1 – Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes

• 6 learning outcomes – click to view

Samples: Shapes. Splitting shapes. Attributes of two dimensional shapes. Grouping shapes based on attributes.

• Describe two dimensional shapes

• Activities: 0 course, 1 extra
• Splitting shapes

• Activities: 2 course, 0 extra
• Attributes of two dimensional shapes

• Activities: 1 course, 0 extra
• Grouping shapes based on attributes

• Activities: 1 course, 0 extra
• Naming triangles

• Activities: 1 course, 1 extra
• Identifying properties and naming prisms and pyramids

• Activities: 2 course, 11 extra
• KS1.Y4.G.PS.2 – Identify acute and obtuse angles and compare and order angles up to 2 right angles by size

• 4 learning outcomes – click to view

Samples: Measuring obtuse angles using a protractor. Estimating the size of angles.

• Measuring obtuse angles using a protractor

• Activities: 1 course, 3 extra
• Estimate the size of angles.

• Activities: 1 course, 0 extra
• Naming angles

• Activities: 4 course, 3 extra
• Naming angles within shapes

• Activities: 1 course, 0 extra
• KS1.Y4.G.PS.3 – Identify lines of symmetry in 2-D shapes presented in different orientations

• 2 learning outcomes – click to view

Samples: Symmetry: Man-made structures. Identify line of symmetry. Symmetry in the environment. Line of symmetry.

• Symmetry: Man-made structures

• Activities: 1 course, 1 extra
• Identify line of symmetry

• Activities: 1 course, 1 extra
• KS1.Y4.G.PS.4 – Complete a simple symmetric figure with respect to a specific line of symmetry

• 1 learning outcomes – click to view

Samples: Drawing symmetrical pictures. Create symmetrical patterns. Creating Symmetrical Drawings and Patterns.

• Drawing symmetrical pictures

• Activities: 0 course, 6 extra
• KS2.Y4.G.PD – Geometry - position and direction
• Pupils should be taught to:

• KS2.Y4.G.PD.1 – Describe positions on a 2-D grid as coordinates in the first quadrant

• 2 learning outcomes – click to view

Samples: Interpret simple maps - the zoo. Using grid references. Interpret simple maps: Activity 1. Position Problem Solving.

• Interpret simple maps - the zoo

• Activities: 1 course, 2 extra
• Using grid references

• Activities: 1 course, 10 extra
• KS2.Y4.G.PD.2 – Describe movements between positions as translations of a given unit to the left/right and up/down

• 1 learning outcomes – click to view

Samples: Identify transformations - pictures. Translations, reflections or rotations: Activity 1.

• Identify transformations - pictures

• Activities: 1 course, 2 extra
• KS2.Y4.G.PD.3 – Plot specified points and draw sides to complete a given polygon

• KS2.Y4.S – Statistics
• Pupils should be taught to:

• KS2.Y4.S.1 – Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs

• 2 learning outcomes – click to view

Samples: Interpreting Dot Plots. Interpret a spreadsheet. Display data using dot plots. Adding information to a spreadsheet.

• Interpret dot plots

• Activities: 1 course, 1 extra
• Interpret data presented in a spreadsheet

• Activities: 1 course, 3 extra
• KS2.Y4.S.2 – Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs

• 3 learning outcomes – click to view

Samples: Interpreting column graphs - 5. Picture graphs - one symbol represents many. Two way tables.

• Interpret data presented in column graphs

• Activities: 1 course, 0 extra
• Interpret data presented using picture graphs where one symbol represents many

• Activities: 1 course, 1 extra
• Interpret data presented in two way tables.

• Activities: 1 course, 3 extra