# Year Two Mathematics

Numbers & the number system

Count in steps of 2, 3, and 5 from 0, and in tens from any number, forward or backward.

• 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.
• Compare and order numbers from 0 up to 100; use <, > and = signs.
• Read and write numbers to at least 100 in numerals and in words.
• Use place value and number facts to solve problems.

• Solve problems with addition & subtraction:
• using concrete objects and pictorial representations, including those involving numbers, quantities and measures
• applying their increasing knowledge of mental and written methods.

• Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100.

• 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,
• numbers,

• Show that addition of two numbers can be done in any order and subtraction of one number from another cannot.

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

Calculation - multiplication & division

• Recall & use multiplication & division facts for 2, 5 & 10 tables, including recognising odd and even numbers

• Calculate mathematical statements for multiplication and division within the multiplication tables; write them using multiplication (x), division (÷) & equals (=) signs.

• Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot.

• Solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.

Calculation - Fractions, Decimals & Percentages

• Recognise, find, name and write fractions 1/3, 1/4, 2/& 3/of a length, shape, set of objects or quantity
• Write simple fractions e.g. 1/2 of 6 = 3 and recognise the equivalence of 2/and 1/2

Measures

· Choose and use appropriate standard units to estimate and measure:

• length/height in any
• direction (m/cm);
• mass (kg/g);
• temperature (°C);
• capacity (litres/ml) to the
•   nearest appropriate unit…
•   using rulers, scales,
•   thermometers and
•   measuring vessels

· 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

· Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change.

· 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.

Shape & Space

· Identify & describe the properties of 2-D shapes, including the number of sides & 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, [e.g. a circle on a cylinder & a triangle on a pyramid.]

· Compare and sort common 2-D and 3-D shapes and everyday objects.

· Order and arrange combinations of mathematical objects in patterns and sequences.

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

Statistics

· 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