Number and Place Value

• Count backwards through zero to include negative numbers
• Count in multiples of 6, 7, 9, 25 and 1 000
• Find 1 000 more or less than a given number
• Order and compare numbers beyond 1 000
• Compare numbers with the same number of decimal places up to two decimal places(copied from Fractions)
• Identify, represent and estimate numbers using different representations
• Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.
• Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
• 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 units, tenths and hundredths(copied from Fractions)
• Round any number to the nearest 10, 100 or 1 000
• Round decimals with one decimal place to the nearest whole number (copied from Fractions)
• Solve number and practical problems that involve all of the above and with increasingly large positive numbers

Addition and Subtraction

• Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
• Estimate and use inverse operations to check answers to a calculation
• Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

Multiplication and Division

• Count in multiples of 6, 7, 9, 25 and 1 000 (copied from Number and Place Value)
• Recall multiplication and division facts for multiplication tables up to 12 × 12
• Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
• Recognise and use factor pairs and commutativity in mental calculations (appears also in Properties of Numbers)
• Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
• Estimate and use inverse operations to check answers to a calculation (copied from Addition and Subtraction)
• Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

Fractions (including Decimals and Percentages)

• Count up and down in hundredths
• Recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten
• Compare numbers with the same number of decimal places up to two decimal places
• Round decimals with one decimal place to the nearest whole number
• Recognise and show, using diagrams, families of common equivalent fractions
• Recognise and write decimal equivalents of any number of tenths or hundredths
• Recognise and write decimal equivalents to 1/4; 1/2; 3/4
• Add and subtract fractions with the same denominator
• 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
• 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
• Solve simple measure and money problems involving fractions and decimals to two decimal places.

Algebra

• Perimeter can be expressed algebraically as 2(a + b) where a and b are the dimensions in the same unit. (Copied from NSG measurement)

Measurement

• Estimate, compare and calculate different measures, including money in pounds and pence (also included in Measuring)
• Estimate, compare and calculate different measures, including money in pounds and pence (appears also in Comparing)
• Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
• Find the area of rectilinear shapes by counting squares
• Read, write and convert time between analogue and digital 12 and 24-hour clocks (appears also in Converting)
• Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days(appears also in Converting)
• Convert between different units of measure (e.g. kilometre to metre; hour to minute)
• Read, write and convert time between analogue and digital 12 and 24-hour clocks(appears also in Converting)
• Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days (appears also in Telling the Time)

Properties of Shapes

• Identify lines of symmetry in 2-D shapes presented in different orientations
• Complete a simple symmetric figure with respect to a specific line of symmetry
• Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
• Identify acute and obtuse angles and compare and order angles up to two right angles by size

Position and Direction

• Describe positions on a 2-D grid as coordinates in the first quadrant
• Describe movements between positions as translations of a given unit to the left/right and up/down
• Plot specified points and draw sides to complete a given polygon

Statistics

• Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
• Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.