# Key Learning in Maths

Number - number and place value

- Count from 0 in multiples of 4, 8, 50 and 100
- Count up and down in tenths
__Read and write numbers up to 1000 in numerals__and in words*Read and write numbers with one decimal place*__Identify, represent and estimate numbers using different representations__*(including the number line)*__Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)__*Identify the value of each digit to one decimal place*__Partition numbers in different ways (e.g. 146 = 100+ 40+6 and 146 = 130+16)____Compare and order numbers up to 1000__*Compare and order numbers with one decimal place*__Find__*1,*10 or 100 more or less than a given number__Round numbers to at least 1000 to the nearest 10 or 100____Find the effect of multiplying a one- or two-digit number by 10 and 100, identify the value of the digits in the answer__*Describe and extend number sequences involving counting on or back in different steps**Read Roman numerals from I to XII*

Solve number problems and practical problems involving these ideas

Number - fractions

*Show practically or pictorially that a fraction is one whole number divided by another (e.g.**can be interpreted as 3 ÷ 4)*__Understand that finding a fraction of an amount relates to division____Recognise that tenths arise from dividing objects into 10 equal parts and in dividing one-digit numbers or quantities by 10____Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators__- Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
__Recognise and show, using diagrams, equivalent fractions with small denominators__- Add and subtract fractions with the same denominator within one whole [for example, + = ]
- Compare and order unit fractions, and fractions with the same denominators
*(including on a number line)* *Count on and back in steps of**,**and*

Solve problems that involve all of the above

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**Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context*__Recall/use addition/subtraction facts for 100 (multiples of 5 and 10)__*Derive and use addition and subtraction facts for 100**Derive and use addition and subtraction facts for multiples of 100 totalling 1000*__Add and subtract numbers mentally, including:__

- __a three-digit number and ones__

- __a three-digit number and tens__

- __a three-digit number and hundreds__

__Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction__- Estimate the answer to a calculation and use inverse operations to check answers

Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction

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)__*Understand that division is the inverse of multiplication and vice versa**Understand how multiplication and division statements can be represented using arrays**Understand division as sharing and grouping and use each appropriately*__Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables____Derive and use doubles of all numbers to 100 and corresponding halves__*Derive and use doubles of all multiples of 50 to 500*__Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods__*Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy*

Solve problems, including missing number problems, involving multiplication and division *(and interpreting remainders),* including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

Geometry - properties of shapes

__Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them__- Recognise angles as a property of shape or a description of a turn
__Identify right angles__, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn;__identify whether angles are greater than or less than a right angle__

__Identify horizontal and vertical lines and pairs of perpendicular and parallel lines__

Geometry - position and direction

*Describe positions on a square grid labelled with letters and numbers*

Statistics

*Use sorting diagrams to compare and sort objects, numbers and common 2-D and 3-D shapes and everyday objects*- Interpret and present data using bar charts, pictograms and tables

__Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables__

Measurement

__Measure, compare__, add and subtract: lengths__(m/cm/mm); mass (kg/g); volume/capacity (l/ml)__*Continue to estimate and measure temperature to the nearest degree (°C) using thermometers*__Understand perimeter is a measure of distance around the boundary of a shape__- Measure the perimeter of simple 2-D shapes
__Tell and write the time from an analogue clock__, including using Roman numerals from I to XII,__and 12-hour and 24-hour clocks__- Estimate/read time with increasing accuracy to the nearest minute
- Record/compare time in terms of seconds, minutes, hours;
__use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon, midnight__ __Know the number of seconds in a minute and the number of days in each month, year and leap year__- Compare durations of events [for example to calculate the time taken by particular events or tasks]
*Continue to recognise and use the symbols for pounds (£) and pence (p) and understand that the decimal point separates pounds/pence**Recognise that ten 10p coins equal £1 and that each coin is**of £1*__Add and subtract amounts of money to give change, using both £ and p in practical contexts__

*Solve problems involving money and measures and simple problems involving passage of time*