High Ham Primary: Outline Planning

MATHS

Elm class year 2.Milestone 1 (Years 1 and 2), Milestone 2 (Years 3 and 4) and Milestone 3 (Years 5 and 6)

Teacher: Each term the section is highlighted which is being taught.

Autumn: Yellow,Spring: Green andSummer: Blue.

Milestone 1 Milestone 2 Milestone 3To describe position, direction and movement

• Describe position, direction and movement using: left/right, up/down, top/middle/bottom, front/behind/around/near/far/inside/outside, etc.

• Use right angles to describe rotation for quarter, half and three quarter clockwise and anti-clockwise turns.

• Describe movement in a straight line.

• Recognise angles as a property of shape and as an amount of rotation.

• Identify right angles, recognise that 2 right angles make a half turn and 4 make a whole turn.

• Identify angles that are greater than a right angle.

• Describe

• Identify, describe and represent the position of a shape following a reflection or a translation.

• Describe positions on all four quadrants of the coordinate grid.

• Construct, translate and reflect simple shapes on the coordinate plane.

positions and movements between positions on a 2D grid using coordinates in the first quadrant.

• Plot specified points and draw sides to complete a given polygon.

• Recognise a symmetric figure and complete it with respect to a given line of symmetry.

To know and use numbers

• Count to 100.

• Write in numerals to 100, words to 20.

• Give 1 more or less than any number to 100.

• Recognise odd and even numbers.

• Use 1st, 2nd, etc. to place in order.

• Read and write numbers to at least 100 in numerals and words.

• Recognise place value in 2 digit numbers.

• Read and write numbers to at least 10,000.

• Recognise place value in 4 digit numbers.

• Order and compare numbers up to10,000.

• Count in multiples of 2, 3, 4, 5, 6, 7, 8, 9, 10, 25, 50, 100 and

• Read, write and compare numbers to at least 1,000,000 and determine the value of each digit.

• Count forwards or backwards in steps of 100, 1000 or 10,000 for any given number up to 1,000,000.

• Round any number up to

• Count in 2s, 3s, 5s, 10s from any number.

• Give 10 more or less than any number to 100.

• Use < = > to compare.

• Sort numbers in increasing and decreasing order.

• Use place value and number facts to solve problems.

1000 from any given number.

• Round any number to the nearest 10, 100 or 1000.

• Read and write negative numbers and order and count through zero.

• Read Roman numerals to 100 and compare with the concept of place value and zero.

• Solve word problems that involve negative numbers and large positive numbers.

1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000.

• Estimate the answer to calculations involving the four operations.

• Read Roman numerals to 1000 (M) and recognise years written in Roman numerals.

• Round any number to a required degree.

• Interpret negative numbers in context.

• Count forward and backwards with positive and negative whole numbers through zero.

To add and subtract

• Read and write statements including +, - and =.

• Use columnar addition and subtraction

• Add and subtract whole numbers with more than 4

• Add and subtract 1and 2 digit numbers.

• Add three 1 digit numbers.

• Know number bonds to 20.

• Use rapid recall of number facts to 20.

• Add and subtract 2 digit numbers.

• Mentally calculate 2-1 digits, 2 digits -10 and 2-2 digits.

• Solve ‘take away’ and ‘find the difference’ problems.

• Recognise addition can be done in any order, subtraction cannot.

• Use the inverse operation to check calculations.

• Solve word problems.

• Solve missing number problems.

(decomposition) for up to 3 digit numbers.

• Mentally add and subtract (2-1 digits, 2-2 digits, 3-1, 2, 3 digits).

• Solve word problems including missing numbers.

• Add and subtract 4 digit numbers using formal written methods.

• Add and subtract numbers mentally including 2-3 digit numbers.

• Use the terms ‘sum’ and ‘difference’ .

• Estimate within a range.

• Use the inverse operation to check calculations.

digits using formal written methods.

• Add and subtract mentally with large numbers.

• Add and subtract negative integers.

• Use rounding to check answers.

• Solve multi-step problems deciding which operations to use.

• See also: Multiplication and division for problems involving all four operations.

• Solve addition and subtraction two-step problems, deciding which operations and methods to use.

To multiply and divide

• Know and write the x and ÷ symbols.

• Solve x and ÷ problems with support.

• Know 2, 5 and 10 x tables.

• Use x, ÷ and = signs to write statements.

• Write and solve x and ÷ problems within 2, 5 and 10 x tables.

• Use the inverse operation to check calculations.

• Recognise that multiplication can be done in any order, division cannot.

• Solve word problems.

• Know all x tables to 12x12.

• Mentally multiply and divide, including multiplying by 0 and dividing by 1.

• Multiply or divide 2 digit and 3 digit numbers by a single digit, including remainders, using formal written layout.

• Recognise and use factor pairs within 144.

• Solve word problems involving the four operations.

• Multiply 4 digit by 2 digit numbers using long multiplication.

• Divide 4 digit by 2 digit numbers using long division, giving remainders as whole numbers, fractions, decimals or by rounding.

• Mentally calculate using mixed operations and large numbers.

• Use estimation to check.

• Use context to decide whether an answer should be rounded, written

as a fraction or decimal.

• Carry out operations in the correct order.

• Solve word problems using the four operations.

• Identify multiples and factors.

• Know and use the vocabulary of prime numbers, prime factors and composite (non prime) numbers.

• Establish whether a number to 100 is prime and recall prime numbers up to 19.

• Multiply and divide whole numbers and those involving decimals by 10,

100 and 1000.

• Recognise and use square numbers and cube numbers and the notation for squared and cubed.

• Multiply and divide simple fractions.

• Convert between different units of metric measures.

• Understand equivalence between metric and imperial units.

To use fractions (including decimals, percentages, ratio, proportion and probability in Years 4, 5 and 6)

• Find 1/2, 1/4 and 3/4 of quantities, objects and shapes.

• Recognise, name and write fractions 1/4, 1/3, 1/2, 2/3 and 3/4 of a whole.

• Count in halves and quarters to 10.

• Identify, name and write unit fractions to 1/2.

• Compare and order unit fractions with the same denominator.

• Recognise fractions that are

• Compare and order fractions with different denominators.

• Recognise mixed numbers and improper fractions and convert one from another.

• Add and subtract

equivalent to 1 and pairs of fractions that add up to 1.

• Count up and down in tenths.

• Know what the term ‘tenths’ means (dividing an object into 10 and a number by 10).

• Identify and name equivalent fractions with a denominator not greater than 12.

• Write the equivalent fraction of a fraction given the denominator or the numerator.

• Reduce fractions to their simplest form.

• Add and subtract two fractions with

mixed fractions that exceed 1.

• Multiply proper fractions and mixed numbers by whole numbers.

• Read and write decimal numbers as fractions.

• Recognise decimal ‘bonds’ to 1 (0.83+0.17=1).

• Read, write and compare numbers with up to three decimal places.

• Add and subtract numbers with up to three decimal places.

• Recognise the per cent symbol % and understand its meaning.

• Write simple fractions as percentages.

common denominators within one whole.

• Compare and order numbers to 2 decimal places.

• Find the effect of dividing 2 digit numbers by 10 and 100, identifying the value of digits as units, tenths and hundredths.

• Recognise and write decimal equivalents to 1/4, 1/2, 3/4 and any number of tenths and hundredths.

• Round decimals with one decimal place to the nearest whole number.

• Solve measure and money problems involving fractions and decimals to 2

• Add and subtract fractions with different denominators.

• Multiply simple unit fractions (1/2 x 1/3 = 1/6).

• Multiply proper fractions (2/3 x 1/4 = 1/6).

• Divide proper fractions by whole numbers (2/3 ÷ 3 = 2/9).

• Divide fractions to calculate a decimal fraction.

• Identify the value of each digit in a decimal fraction to three decimal places.

• Multiply and divide numbers up to three decimal places by 10, 100 and 1000.

• Multiply and

decimal places. divide numbers up to two decimal places by 1 digit and 2 digit whole numbers.

• Use percentages for comparison and calculate percentages of whole numbers.

• Recall and use equivalences between fractions, decimals and percentages.

• Use ratio to show the relative sizes of two quantities.

• Recognise equivalent ratios and simplify a ratio to its lowest terms.

• Use the language associated with probability such as certain, equally likely, unlikely,

impossible and use this to calculate the likelihood of events.

• Calculate the probability of events using correct notation.

To understand the properties of shapes

• Name common 2D and 3D shapes.

• Recognise and name common 2D and 3D shapes.

• Draw polygons using a ruler.

• Identify sides, faces, right angles and symmetry in shapes.

• Recognise edges, vertices and faces in 3D shapes.

• Identify 2D shapes on the faces of 3D shapes.

• Compare and sort 2D and 3D shapes.

• Make 2D and 3D shapes, describing them with vocabulary including polygon, non-polygon and polyhedron.

• Identify horizontal, vertical, perpendicular, parallel and curved lines.

• Identify lines of symmetry in 2D shapes presented in different orientations.

• Complete shapes with respect to a

• Measure angles in degrees and draw a given angle, writing its size in degrees.

• Identify 90°, 180° and 360° turns.

• Recognise and compare triangles, including isosceles, equilateral and right angled.

• Recognise and name parallelograms, rhombus and trapezium.

• Construct shapes

specific line of symmetry.

• Compare and classify geometric shapes based on their properties and sizes.

• Identify acute and obtuse angles and compare the size of different angles.

• Draw circles of a given radius or diameter.

from given dimensions.

• Use the term ‘diagonal’ in describing the properties of shapes.

• Identify 3D shapes from 2D representations.

• Compare and classify geometric shapes based on their properties and sizes.

• Find unknown angles in any triangles, quadrilaterals and regular polygons.

• Illustrate and name parts of circles, including radius, diameter and circumference.

• Recognise, describe and build simple 3D shapes,

including making nets.

• Describe properties of 3D shapes and identify parallel planes and symmetries.

• Estimate the size of angles.

• Find unknown angles involving angles at a point, on a straight line, in a triangle, in a quadrilateral and vertically opposite angles.

• Draw a given angle.

To use measures

• Measure and compare:

• length and height (m/cm)

• mass (g/kg)

• capacity and volume (l)

• time (h/min/sec).

• Recognise and use full names and abbreviations for metric measures.

• Measure, compare and subtract lengths (m/cm/mm);

• Calculate using four operations using units of measure.

• Convert between metric and common imperial units.

• Solve problems.

• Choose and use standard units to estimate and measure length/height, mass, temperature, volume/capacity using appropriate rulers, scales, thermometers and measuring vessels.

• Compare and order measurements using the signs < = >.

• Read scales.

• Tell, draw and write the time to the nearest 5 minutes.

• Use £ and p to make amounts, add and subtract (£-£, p-p).

• Find different combinations of coins that equal the same amounts of money.

• Solve addition and subtraction of money problems.

mass(g/kg); volume/capacity (l/mm) and time (h/min/sec).

• Tell and write the time from an analogue clock, including using Roman numerals, and 12 and 24 hour digital clocks.

• Estimate and read time to the minute.

• Calculate using time.

• Know the number of seconds in a minute and the number of days in a month, year and leap year.

• Add and subtract amounts of money using both £ and p.

• Convert

• Measure force in Newtons.

• Calculate the area of squares, rectangles and composite shapes, using correct units.

• Recognise volume in practical contexts.

• Use, read, write and convert between standard units.

• Recognise that shapes with the same areas can have different perimeter and vice versa.

• Calculate the area of parallelograms and triangles.

• Recognise when to use the formulae for

between different units of measure (e.g. kg-g).

• Measure and calculate the perimeter of a rectangle where measurements are given in cm and m.

• Find the area of squares, rectangles and related composite shapes.

• Read and convert time between analogue and digital 12 and 24 hour clocks.

• Estimate, compare and calculate different measures, including money in £ and p.

volume and area.

• Calculate and compare the volume of cuboids.

• Use decimal notation to three decimal places to solve measurement and conversion problems.

To use statistics

• Construct and interpret pictograms, tables and simple graphs.

• Ask and answer questions about data.

• Read, interpret and present continuous and discrete data

• Complete tables and bar graphs from given information and

using pictograms, bar charts and time graphs.

• Solve problems using information presented in pictograms, bar charts, tables and other graphs.

• Read, interpret and solve problems using information in bar charts, including reading scales in the axes.

solve problems using data presented in bar graphs, tables and simple pie charts.

• Draw, read and interpret line graphs and use them to solve problems.

• Use and interpret averages, including mean, median and mode to solve simple problems using different kinds of averages.

To use algebra • Solve addition and subtraction problems involving missing numbers.

• Solve missing number problems.

• Solve linear missing number problems, including those involving decimals and fractions.

• Find pairs of numbers that satisfy number sentences involving two unknowns.

• Use simple formulae expressed in words.

• Generate and describe linear number sequences including those involving negative and decimal numbers, and proper fractions.

• Enumerate all possibilities of combinations of two variables.