# Key Learning in Maths

Number - number and place value

- Count in multiples of 6, 7, 9, 25 and 1000
- Count backwards through zero to include negative numbers
- Count up and down in hundredths
__Read and write numbers to at least 10 000____Read and write numbers with up to two decimal places____Recognise the place value of each digit in a four-digit number____Identify the value of each digit to two decimal places____Partition numbers in different ways (e.g. 2.3 = 2+0.3 & 1+1.3)____Identify, represent and estimate numbers using different representations__*(including the number line)*__Order and compare numbers beyond 1000____Order and____compare numbers with the same number of decimal places up to two decimal places____Find__*0.1, 1, 10, 100 or*1000 more or less than a given number__Round any number to the nearest 10, 100 or 1000__- Round decimals (one decimal place) to the nearest whole number
__Find the effect of dividing a one- or two-digit number by 10 and 100, identifying the value of the digits in the answer__*Describe and extend number sequences involving counting on or back in different steps, including sequences with multiplication and division steps*- Read Roman numerals to 100 and know that over time, the numeral system changed to include the concept of zero and place value

Solve number and practical problems that involve all of the above and with increasingly large positive numbers

Number - fractions, decimals and percentages

*Understand that a fraction is one whole number divided by another (e.g.**can be interpreted as 3 ÷ 4)*__Recognise, find and write fractions of a discrete set of objects including those with a range of numerators and denominators____Recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten__*Count on and back in steps of unit fractions**Compare and order unit fractions and fractions with the same denominators (including on a number line)*__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 , ,
__Add and subtract fractions with the same denominator__*(using diagrams)*- 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

Number - addition and subtraction

__Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)__

*Select a mental strategy appropriate for the numbers involved in the calculation*__Recall and use addition and subtraction facts for 100____Recall and use +/- facts for multiples of 100 totalling 1000__*Derive and use addition and subtraction facts for 1 and 10 (with decimal numbers to one decimal place)*__Add and subtract mentally combinations of two and three digit numbers and decimals to one decimal place____Add and subtract numbers with up to 4 digits__*and decimals with one decimal place*using the formal written methods of columnar addition and subtraction where appropriate__Estimate; 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

*Solve addition and subtraction problems involving missing numbers*

Number - multiplication and division

__Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)__- Recognise and use factor pairs and commutativity in mental calculations
__Recall multiplication and division facts for multiplication tables up to 12 × 12____Use partitioning to double or halve any number, including decimals to one decimal place__- 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

__Multiply two-digit and three-digit numbers by a one-digit number using formal written layout____Divide numbers up to 3 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context____Use estimation and inverse to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy__

Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, *division (including interpreting remainders), *integer scaling problems and harder correspondence problems such as n objects are connected to m objects

Geometry - properties of shapes

__Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes____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
*Continue to identify horizontal and vertical lines and pairs of perpendicular and parallel lines*

__Identify acute and obtuse angles and compare and order angles up to two right angles by size__

Geometry - position and direction

__Describe positions on a 2-D grid as coordinates in the first quadrant__- Plot specified points and draw sides to complete a given polygon

Describe movements between positions as translations of a given unit to the left/right and up/down

Statistics

*Use a variety of sorting diagrams to*compare and classify*numbers and*geometric shapes based on their properties and sizes__Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts, time graphs__

Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs

Measurement

__Estimate, compare and calculate different measures, including money in pounds and pence__*Order temperatures including those below 0**°**C*- Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
__Know area is a measure of surface within a given boundary__- Find the area of rectilinear shapes by counting squares
__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____Write amounts of money using decimal notation__*Recognise that one hundred 1p coins equal £1 and that each coin is**of £1*

Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days *and problems involving money and measures*