Milestone 1 - Maths
|To know and use numbers||Counting||
• Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number.
• Count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens.
• Given a number, identify one more and one less.
• Count in steps of 2, 3, 5 and 10 from 0 or 1 and in tens from any number, forward and backward.
• Identify, represent and estimate numbers using different representations, including the number line.
• Read and write numbers initially from 1 to 20 and then to at least 100 in numerals and in words.
• Use the language of: equal to, more than, less than (fewer), most and least.
• Compare and order numbers from 0 up to 100; use <, > and = signs.
|Place value||• Recognise the place value of each digit in a two-digit number (tens, ones).|
|Solving problems||• Use place value and number facts to solve problems.|
|To add and subtract||Complexity||
• Solve one-step problems with addition and subtraction:
• Using concrete objects and pictorial representations including those involving numbers, quantities and measures.
• Using the addition (+), subtraction (-) and equals (=) signs.
• Applying their increasing knowledge of mental and written methods.
• Add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
• One-digit and two-digit numbers to 20, including zero.
• A two-digit number and ones.
• A two-digit number and tens.
• Two two-digit numbers.
• Adding three one-digit numbers.
• Show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot.
|Checking||• Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.|
|Using number facts||
• Represent and use number bonds and related subtraction facts within 20.
• Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100.
|To multiply and divide||Complexity||• Solve one-step problems involving multiplication and division by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.|
• Calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (.), division (÷) and 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 mental methods.
|Checking||• Use known multiplication facts to check the accuracy of calculations.|
|Using multiplication and division facts||
• Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables.
• Recognise odd and even numbers.
• Use multiplication and division facts to solve problems.
|Fractions (including decimals, percentages, ratio and proportion)||Recognising fractions||
• Recognise, find and name a half as one of two equal parts of an object, shape or quantity.
• Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.
• Recognise, find, name and write fractions 1/2, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity.
|Equivalence||• Recognise the equivalence of 2/4 and 1/2.|
|Solving problems||• Write simple fractions for example, 1/2 of 6 = 3.|
|To understand the properties of shapes||
• Recognise and name common 2D and 3D shapes.
• 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.
• Compare and sort common 2-D and 3-D shapes and everyday objects.
|To describe position, direction and movement||
• Describe position, direction and movement, including whole, half, quarter and three-quarter turns.
• 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 and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise).
|To use measures||
• Compare, describe and solve practical problems for:
•lengths and heights.
•capacity and volume.
• Measure and begin to record:
•lengths and heights.
•capacity and volume.
•time. (hours, minutes, seconds).
• Recognise and know the value of different denominations of coins and notes.
• Sequence events in chronological order using language.
• Recognise and use language relating to dates, including days of the week, weeks, months and years.
• Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.
• Choose and use appropriate standard units to estimate and measure length/height (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.
|To use 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.
• Ask and answer questions about totalling and comparing categorical data.
|To use algebra||• Solve addition and subtraction problems involving missing numbers.|