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# Maths

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## 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.

Representing

• 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.

Comparing

• 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.

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.
Methods

• 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.

•mass/weight.

•capacity and volume.

•time.

• Measure and begin to record:

•lengths and heights.

•mass/weight.

•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.