# Key Learning in Maths

Number - number and place value

- Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
- Read and write numbers to at least 100 in numerals and in words
__Recognise the place value of each digit in a two-digit number (tens, ones)____Identify, represent and estimate numbers using different representations, including the number line____Partition numbers in different ways (e.g. 23 = 20 + 3 and__

23 = 10 + 13)__Compare and order numbers from 0 up to 100__; use <, > and = signs__Find 1 or 10 more or less than a given number__*Round numbers to at least 100 to the nearest 10**Understand the connection between the 10 multiplication table and place value**Describe and extend simple sequences involving counting on or back in different steps*

Use place value and number facts to solve problems

Number - fractions

*Understand and use the terms numerator and denominator*__Understand that a fraction can describe part of a set____Understand that the larger the denominator is, the more pieces it is split into and therefore the smaller each part will be____Recognise, find, name and write fractions____,____,____and____of a length, shape, set of objects or quantity__- Write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2

*Count on and back in steps of * 1/2* and 1/4*

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)**Select a mental strategy appropriate for the numbers involved in the calculation*- Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
*Understand subtraction as take away and difference (how many more, how many less/fewer)*__Recall and use addition and subtraction facts__to 20 fluently, and derive and use related facts up to 100__(bonds totalling 5, 10 and 20)__*Recall and use number bonds for multiples of 5 totalling 60 (to support telling time to nearest 5 minutes)*__Add and subtract numbers using concrete objects, pictorial representations, and mentally, including:__

__- a two-digit number and ones
- a two-digit number and tens
- two two-digit numbers
- adding three one-digit numbers__

- Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems

__Solve problems with addition and subtraction including with missing numbers:
- using concrete objects and pictorial representations, including those
involving numbers, quantities and measures__

- applying their increasing knowledge of mental and written methods

Number - multiplication and division

__Understand multiplication as repeated addition and arrays____Understand division as sharing and grouping and that a division calculation can have a remainder__- Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot
__Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables__, including recognising odd and even numbers__Derive and use doubles of simple two-digit numbers (numbers in which the ones total less than 10)____Derive and use halves of simple two-digit even numbers (numbers in which the tens are even)____Calculate mathematical statements for multiplication__*using repeated addition)*and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs

Solve problems involving multiplication and division *(including those with remainders)*, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts

Geometry - properties of shape

__Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line____Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces__

Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]

Geometry - position and direction

- Order/arrange combinations of mathematical objects in patterns/sequences

__Use mathematical vocabulary to describe position, direction and movement__, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)

Statistics

- Compare and sort
*objects, numbers and*common 2-D and 3-D shapes and everyday objects - Interpret and construct simple pictograms, tally charts, block diagrams and simple tables
- Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity

__Ask and answer questions about totalling and comparing categorical data__

Measurement

__Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass__(kg/__g__); temperature (°C);__capacity and volume__(litres/__ml__)__to the nearest appropriate unit, using rulers, scales,__thermometers__and measuring vessels (__*within children’s place value competence)*- Compare and order lengths, mass, volume/capacity and record the results using >, < and =
- Recognise and use symbols for pounds (£) and pence (p)
- Combine amounts to make a particular value
__Find different combinations of coins that equal the same amounts of money__- Compare and sequence intervals of time
__Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times____Know the number of minutes in an hour and the number of hours in a day__

Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change *and measures (including time)*