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RGTSA Maths Framework

Year 1: Autumn

*Please note: when planning mental maths, objectives can be selected not only from the list at the start of each term, but also any areas arising from Gap Analysis and on-‐going assessments. It should also be ensured that there is a balance of the 6 R’s of Mental Maths within your sessions.

Mental/Oral Objectives:

• To count to 100, forwards and backwards beginning with any given number • Count in multiples of 2s, 5s and 10s • Read and write numbers up to 50 in numerals • Read and write numbers from 1 to 20 in numerals and words • Identify one more and one less than a given number • Add and subtract mentally using number facts to 20 (number bonds) • To order numbers up to 50

Unit Topic Lesson Objectives A1 NUMBER

Number & Place Value Addition

• To count to 100, forwards and backwards beginning with 0. • Identifying and representing numbers using objects and pictorial representations,

including number lines • Read and write numbers up to 100 in numerals • Count in multiples of 2s, 5s and 10s • Identify one more and one less than a given number • Read, write and interpret mathematical statements involving addition and equals signs • Represent and use number bonds within 20 (mentally) • Add one digit and two digit numbers to 20, including zero (see calculation policy) • Solve one step problems that involve addition, using concrete objects and pictorial

representations, including number lines (see calculation policy) A2 NUMBER

Subtraction

• Represent and use number bonds and related subtraction facts within 20 (mentally) • Read, write and interpret mathematical statements involving subtraction and equals

signs • Subtract one digit and two digit numbers to 20, including zero (see calculation policy) • Solve one step problems that involve subtraction, using concrete objects and pictorial

representations (see calculation policy) A3 MEASUREMENT

Lengths & Heights Investigation Opportunity

• To understand what a standard unit of measure is • To measure and record height to the nearest centimetre • Compare and describe heights using mathematical vocabulary (eg, tallest/shortest;

taller/shorter; tall/short; double/half) • To measure and record lengths to the nearest centimetre • Compare and describe lengths using mathematical vocabulary (eg, long/short,

longer/shorter, longest/shortest, double/half) A4 MEASUREMENT

Mass

• To understand what a standard unit of measure of mass is (grams) • To measure and record mass to the nearest gram • Compare and describe mass using mathematical vocabulary (heavy/light;

heaviest/lightest; heavier/lighter) A5 NUMBER &

GEOMETRY Fractions & Position and Direction Assess & Analyse (1 day)

• To recognise, find and name a half as one of two equal parts of an object • To recognise, find and name a half as one of two equal parts of a shape • Describe positions, directions and movements in whole and half turns

• Spend 1 day completing practical activities to assess learning in units taught.

A6 Assess & Analyse (1 day) NUMBER Division


• Use concrete objects to divide amounts • Use pictorial representations to divide amounts (see calculation policy) • Solve one step division problems using concrete objects or pictorial representations (see

calculation policy)

A7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

Unit Topic Lesson Objectives B1 NUMBER

Number & Place Value Subtraction

• Count in multiples of 2s, 5s and 10s • Read and write numbers up to 100 in numerals • Read and write numbers from 1 to 20 in numerals and words • Identify one more and one less than a given number (using number lines and hundred

squares) • Represent and use number bonds and related subtraction facts within 20 (mentally) • Subtract one digit and two digit numbers to 20, including zero (see calculation policy) • To use the terms ‘take away’ and ‘subtract’ when solving subtraction problems • Solve one step problems that involve subtraction, using concrete objects and pictorial

representations including number lines (see calculation policy) B2 NUMBER

Multiplication Investigation Opportunity

• Count in groups of 2s, 5s and 10s • Express groups of the same amount as arrays (eg, 4 lots of 2) • Solve one step multiplication problems using arrays, pictorial and concrete

representations

B3 NUMBER Addition & Subtraction

• Read, write and interpret mathematical statements involving addition and equals signs • Represent and use number bonds and related subtraction facts within 20 (mentally) • Add and subtract one digit and two digit numbers to 20, including zero (see calculation

policy) • To use the terms ‘put’ together’, ‘add’ and ‘altogether’ when solving addition problems • Solve one step problems that involve addition and subtraction, using concrete objects,

number lines and pictorial representations (see calculation policy) B4 MEASUREMENT

Time & Chronology • Recognise and use language relating to dates, including days of the week, weeks, months

and years • Sequence events in chronological order using language such as: before and after, next,

first, today, yesterday, tomorrow, morning, afternoon and evening • To compare and describe the times of familiar activities, using the language quicker,

slower, earlier, later • Begin to measure and record time in hours, minutes and seconds (use sand timers,

electronic timers, analogue clock) • To tell the time to the hour and draw hands on a clock face to show these times • To order times (o’clock)

B5 GEOMETRY 2D/3D shapes Investigation Opportunity Assess & Analyse

• Recognise and name common 2D shapes • Recognise and name common 3D shapes • Relate everyday objects to 3D shapes • Sort 2D objects according to their properties • Identify the properties of 2D shapes


B6 Assess & Analyse NUMBER Multiplication

• Spend 1 day completing practical activities to assess learning in units taught. • Express groups of the same amount as arrays (e.g., 4 lots of 2) • To double 1 digit numbers. • Solve one step multiplication problems using arrays, pictorial and concrete

representations B7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each

class.

RGTSA Maths Framework Year 1: Spring


• To count to and across 100, forwards and backwards beginning with any given number • Count in multiples of 2s, 5s and 10s • Read and write numbers up to 100 in numerals • Read and write numbers from 1 to 50 in numerals and words • Identify one more and one less than a given number • Add and subtract mentally using number facts to 20 (number bonds) • To compare and order numbers up to 100 • To double 1 digit numbers • To count in multiples of 2p, 5p and 10p.

Unit Topic Lesson Objectives C1 NUMBER

Addition, Subtraction, Multiplication & Division (revision)

• Represent and use number bonds and related addition and subtraction facts within 20 • Express groups of the same amount as arrays (e.g., 4 lots of 2) • Use pictorial representations to divide amounts • MATHS ASSESSMENTS

C2 NUMBER Number & Place Value Addition & Subtraction

• Read and write numbers up to 100 in numerals • Read and write numbers from 1 to 50 in words • To compare and order number up to 100, using the language ‘equal to’, ‘more than’ and

‘less than’ • Represent and use number bonds and related subtraction facts within 20 (mentally) • Solve one step missing number problems • Add and subtract one digit and two digit numbers to 20, including zero (see Calculations

Policy) C3 NUMBER &

MEASUREMENT Addition & Subtraction Money Investigation Opportunity

• Recognise and know the different denominations of coins and notes • To add and subtraction denominations of coins and notes • To count in multiples of 2p, 5p and 10p. • To order different denominations of coins and notes • To investigate how many ways you can make 10p and 20p with different denominations

of coins

C4 NUMBER & GEOMETRY Fractions & Position and Direction Assess & Analyse

• To review knowledge of halves • To recognise, find and name a quarter as one of four equal parts of a group of objects • To recognise, find and name a quarter as one of four equal parts of a shape • Describe positions, directions and movements in whole, half and quarter turns


C5 Assess & Analyse NUMBER Addition & Subtraction


• To add and subtract numbers concrete objects, pictorial representation and mentally; -‐ a two digit number an ones -‐ a two digit number and tens

• To show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot

C6 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

Unit Topic Lesson Objectives D1 NUMBER

Number & Place Value Addition & Subtraction

• Count in multiples of 2s, 5s and 10s • Read and write numbers up to 100 in numerals • Read and write numbers from 1 to 100 in words • To compare and order number up to 100, using the language ‘equal to’, ‘more than’ and

‘less than’ • Solve one step problems that involve addition and subtraction, using concrete objects,

pictorial representation and number lines (see Calculations Policy) • To use the terms ‘put together’, ‘add’, ‘altogether’ and ‘total’ when solving addition

problems • To use the terms ‘take away’, ‘more than’ and ‘less than’ when solving subtraction

problems D2 NUMBER

Multiplication • Express groups of the same amount as arrays (e.g., 4 lots of 2) • Solve one step multiplication problems using arrays, pictorial and concrete

representations (see Calculations Policy) • To double 1 digit numbers

D3 NUMBER Division

• To find a half of a quantity • Use concrete objects to divide amounts • Use pictorial representations to divide amounts • Solve one step division problems using concrete objects or pictorial representations. (see

Calculations Policy) D4 MEASUREMENT &

STATISTICS Lengths & Heights Investigation Opportunity Assess & Analyse

• To measure and record height to the nearest centimetre • Compare, order and describe heights using mathematical vocabulary (e.g.,

tallest/shortest; taller/shorter; tall/short; double/half) • To record heights onto a simple table. • To answer simple comparison questions, e.g. Who is the tallest child on your table?

Which is the shortest plant? • To measure and record lengths to the nearest centimetre • Compare, order and describe lengths using mathematical vocabulary (e.g., long/short,

longer/shorter, longest/shortest, double/half) • To record lengths onto a simple table. • To answer simple comparison questions, e.g. Which is the shortest skipping rope? • Spend 1 day completing practical activities to assess learning in units taught.

D5 Assess & Analyse GEOMETRY 2D shapes Investigation Opportunity

• Spend 1 day completing practical activities to assess learning in units taught. • To investigate which 2D shapes tessellate. • To recognise and name 2D shapes in any orientation • To construct and draw 2D shapes using pin boards and isometric paper • Identify the properties of 2D shapes

D6 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

RGTSA Maths Framework Year 1: Summer


• To count to and across 100, forwards and backwards beginning with any given number • Count in multiples of 2s, 5s and 10s • Read and write numbers up to 100 in numerals • Read and write numbers from 1 to 50 in numerals and words • Identify one more and one less than a given number • Add and subtract mentally using number facts to 20 (number bonds) • To compare and order numbers up to 100 • To double 1 digit numbers and multiples of ten • To count in multiples of 2p, 5p and 10p • To identify and name 2D shapes • To recognise the place value of any two digit number • To find 10 more or 10 less than a give number

Unit Topic Lesson Objectives E1 NUMBER

Number & Place Value

• To compare and order number up to 100, using the language ‘equal to’, ‘more than’ and ‘less than’

• To count in tens from any number, forward or backward. • To recognise the place value of any digit in a two-‐digit number (tens, ones) • Solve one step missing number problems • Identify, represent and estimate numbers using different representations, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. • To find 10 more or 10 less than a give number using practical equipment, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. E2 NUMBER &

MEASUREMENT Addition & Subtraction Money

• Recognise and know the different denominations of coins and notes • To add and subtraction denominations of coins and notes • To count in multiples of 2p, 5p and 10p. • To order different denominations of coins and notes • To solve addition money problems using the terms ‘put’ together’, ‘add’, ‘altogether’ and

‘total’ • To solve subtraction money problems using the terms ‘take away’, ‘difference between’,

‘more than’ and ‘less than’ E3 MEASUREMENT &

STATISTICS Mass Investigation Opportunity

• To measure and record mass to the nearest gram • To order objects according to their mass • Investigate masses of different objects, e.g. How much do each of these different fruits

weigh? • To construct and interpret simple pictograms, e.g. picture of an apple = 1gram

E4 NUMBER & GEOMETRY Fractions & Position and Direction Assess & Analyse

• To recognise, find and name a half as one of two equal parts of an object, shape or quantity

• To recognise, find and name a quarter as one of four equal parts of an object, shape or quantity

• Describe positions, directions and movements in whole, half, quarter and three quarter turns


E5 Assess & Analyse MEASUREMENT Capacity Investigation Opportunity

• Spend 1 day completing practical activities to assess learning in units taught. • To understand what a standard unit of measure of capacity is (ml) • To measure and record capacity to the nearest ml • Compare and describe capacity using mathematical vocabulary (full/empty, half full,

fullest/emptiest, more full/more empty) • Investigate capacity of different containers

E6 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

Unit Topic Lesson Objectives F1 NUMBER


• To compare and order number up to 100, using the language ‘equal to’, ‘more than’ and ‘less than’

• To count in tens from any number, forward or backward. • To recognise the place value of any digit in a two-‐digit number (tens, ones) • Identify, represent and estimate numbers using different representations, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. • To find 10 more or 10 less than a give number using practical equipment, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. F2 NUMBER

Multiplication & Division

• To double one digit numbers and multiples of ten • To begin to see multiplication as repeated addition using a number line, e.g. 3 x 4 = 12

and 4 + 4 + 4= 12 • To solve multiplication problems using number lines • To find a half of a quantity • Use concrete objects to divide amounts • Use pictorial representations to divide amounts • Solve one step division problems using concrete objects or pictorial representations

F3 MEASUREMENT Time

• Recognise and use language relating to dates, including days of the week, weeks, months and years

• Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening

• To compare and describe the times of familiar activities, using the language quicker, slower, earlier, later

• To tell the time to the hour and draw hands on a clock face to show these times • To tell the time to half past the hour and draw hands on a clock face to show these times • To order times (o’clock and half past)

F4 Assess & Analyse

• Spend the week completing practical activities to assess learning in units taught this year

F5 MEASUREMENT Capacity Investigation Opportunity

• To understand what a standard unit of measure of capacity is (ml) • To measure and record capacity to the nearest ml • To order different amounts of capacity • Capacity investigation

F6 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

RGTSA Maths Framework Year 2: Autumn



• Read and write numbers to at least 100 in numerals and words • To order numbers to at least 100. • To count forward in steps of 2, 3, and 5 from 0. • To count in tens from any number, forward or backward. • Add and subtract a two-‐digit number and ones mentally • To recognise odd and even numbers. • Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. • To compare and order numbers to 100 • Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100. • Doubling one digit numbers and multiples of ten • Halving number up to 20



• Read and write numbers to at least 100 in numerals and words • To order numbers to at least 100, using greater than, less than and equals signs • To count forward in steps of 2, 3, and 5 from 0. • To count forward in tens from any number. • To recognise the place value of any digit in a two-‐digit number (tens, ones) • Identify, represent and estimate numbers using different representations, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. A2 NUMBER

Addition • Recall and use addition facts to 20 fluently, and derive and use related facts up to 100. • Add a two-‐digit number and ones using different representations and mentally. (see

Calculations Policy) • Show that addition of two numbers can be done in any order (commutative) and

subtraction of one number from another cannot. • Use place value and number facts to solve addition problems.

A3 NUMBER Subtraction

• Recall and use subtraction facts to 20 fluently, and derive and use related facts up to 100. • Subtract a two-‐digit number and ones using different representations (including number

lines) and mentally. (see Calculations Policy) • Use place value and number facts to solve subtraction problems.

A4 NUMBER Multiplication

• Recall and use multiplication facts for the 2, 5 and 10 multiplication tables. • To recognise odd and even numbers. • Calculate mathematical statements for multiplication within the multiplication tables and

write them using the multiplication and equals signs. • Solve problems involving multiplication of one digit by one digit numbers, including

problems in contexts (see Calculations policy). A5 NUMBER

Division • Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. • Calculate mathematical statements for division within the multiplication tables and write

them using the division and equals signs. • Solve problems involving division of a two digit by a one digit number, including problems

in contexts (see Calculations policy). A6 Assess & Analyse

MEASUREMENT Capacity

• Assessment of half terms units will take place during week and analysis with phase leader will follow.

• Choose and use appropriate standard units to estimate and measure capacity, to the nearest litre/millilitre, using measuring beakers, jugs, cylinders, etc.

• Compare and order capacity (litres/ml), using greater than, less than and equals to signs. • To solve addition and subtraction problems involving capacity.


Unit Topic Lesson Objectives B1 NUMBER

Number & Place Value Addition & Subtraction

• Read and write numbers to at least 100 in numerals. • To order number to at least 100, using greater than, less than and equals signs • To count in steps of 2, 3, and 5 from 0, forward or backward. • To count in tens from any number, forward or backward. • To recognise the place value of any digit in a two-‐digit number (tens, ones) • Identify, represent and estimate numbers using different representations, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. • Use place value and number facts to solve addition and subtraction problems.

B2 NUMBER & GEOMETRY Fractions & Position and Direction

• To introduce fraction notation, using the language numerator, denominator, equal parts, whole

• Understand the term ‘unit fraction’: where the numerator is one and the denominator is a positive number.

• Recognise, find, name and write fractions ½, ¼, 2/4 and ¾ of a shape, a set of objects and of a quantity

• Use mathematical vocabulary to describe position, direction and movement including distinguishing between rotation as a turn in terms of whole, quarter, half and three quarter turns. (links with Computing Curriculum)

• To understand and use the terms clockwise and anti-‐clockwise. B3 MEASUREMENT

Money Investigation Opportunity

• Recognise and use the symbol for pounds (£) and pence (p) • Finding different combinations of coins that equal the same amount of money. • Combine amounts to make a particular value. • Solve simple problems in a practical context involving addition and subtraction of money

in the same unit B4 MEASUREMENT

Length & Height Investigation Opportunity

• Choose and use appropriate standard units to estimate and measure length/height in any direction, to the nearest metre/centimetre using rulers, tape measures and metre sticks.

• Compare and order lengths (m, cm). • Solve addition and subtraction problems involving lengths/heights.

B5 STATISTICS Pictograms Investigation Opportunity

• Collect data discrete data using categories and record onto a simple table, e.g. Which is your favourite take away out of …?

• Interpret and construct simple pictograms, using a simple key where one picture represents either 2, 5 or 10. (vertical and horizontal pictograms)

• Ask and answer questions about totals and comparing totals B6 Assess & Analyse

GEOMETRY Properties of shapes


• Identify and describe the properties of 2D shapes, including the number of sides and symmetry in a vertical line.

• Identify and describe the properties of 3D shapes, including the number of edges, vertices and faces.

• Identify 2D on the surface of 3D shapes, for example a circle on a cylinder and a triangle on a pyramid.

• Compare and sort common 2D and 3D shapes and everyday objects. B7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each

class.



• Read and write numbers to at least 100 in numerals and words • To order number to at least 100. • To count in steps of 2, 3, and 5 from 0, forward or backward. • To count in tens from any number, forward or backward. • Add and subtract a two-‐digit number and tens mentally • Add and subtract two digit numbers mentally (partitioning or finding the nearest multiple of ten and adjusting) • To recognise odd and even numbers. • Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. • To compare and order numbers to 100 • Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100. • Doubling one digit numbers and multiples of ten • Halving number up to 20


Place Value & Addition/Subtraction

• Add and subtract a two-‐digit number and tens using different representations (dienes, bead strings, number lines, partitioning,) mentally.

• Add and subtract two 2 digit numbers (see Calculations Policy) • To recognise the place value of any digit in a two-‐digit number (tens, ones) • Identify, represent and estimate numbers using different representations, including

number lines, hundred squares, bead strings, base ten (dienes) blocks. • Recognise and use the inverse relationship between addition and subtraction and use

this to check calculations and solve missing number problems C2 NUMBER

Multiplication • Recall and use multiplication facts for the 2, 5 and 10 multiplication tables. • Calculate mathematical statements for multiplication within the multiplication tables

and write them using the multiplication and equals signs. • Show that multiplication of two numbers can be done in any order (commutative) • Know that multiplying by 2 is the same as doubling • Solve problems involving multiplication of one digit by two digit numbers (see

Calculations Policy). C3 MEASUREMENT

Temperature & Capacity Investigation Opportunity


• Compare and order capacity (litres/ml), using greater than, less than and equals to signs.

• To carry out investigations involving capacity and measuring capacity • Choose and use appropriate standard units to estimate and measure temperature to

the nearest degree Celsius, using different types of thermometers, e.g. forehead, wall, liquid.

• To measure liquids and read scales showing the temperature C4 Assess & Analyse

NUMBER Division


• Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables.

• Calculate mathematical statements for division within the multiplication tables and write them using the division and equals signs.

• Know that dividing by 2 is the same as halving a number • To know that multiplication and division are inverse operations • Solve problems involving division of a two digit by a one digit number, using materials,

arrays and number lines, including problems in contexts (see Calculations policy). C5 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each

class.


Place Value & Addition/Subtraction

• Add and subtract a two-‐digit number and tens using different representations (dienes, bead strings, number lines, partitioning,) mentally.

• Add and subtract two 2 digit numbers using different representations (see Calculations Policy)

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

• To solve addition and subtraction problems D2 NUMBER

Fractions • Recognise, find, name and write fractions 1/3, 2/3 and 3/3 of a shape, a set of objects

and a quantity • To understand that 2/2, 3/3 and 4/4 are the same as one whole • Write simple fractions (e.g., ½ of 6 = 3) and recognise the equivalence of 2/4 and ½.

D3 MEASUREMENT Time

• Compare and sequence intervals of time (o’clock, half past, quarter past, quarter to). • To know the number of minutes in an hour and the number of hours in a day • To tell and write the time to five minutes, including quarter past/to, and draw the

hands on a clock face to show the times (analogue clock). • To relate the 5 times table to the hands on a clock • To solve addition and subtraction problems involving time

D4 STATISTICS Block graphs Investigation Opportunity

• Collect discrete data and record onto tally charts, e.g. the month each child was born, shoe size, etc.

• Interpret and construct block graphs, where each block represents one • Ask and answer questions about totals and comparing totals

D5 Assess & Analyse MEASUREMENT Mass


• Choose and use appropriate standard units to estimate and measure mass to the nearest gram/kilogram, using standard weights on a balance scale and electronic scales.

• Compare and order mass (kg, g) using greater than, less than and equals to signs. • Solve addition and subtraction problems involving mass.




• Read and write numbers to at least 100 in numerals and words • To order number to at least 100. • To count in steps of 2, 3, and 5 from 0, forward or backward. • To count in tens from any number, forward or backward. • Add and subtract a two-‐digit number and tens mentally • Add and subtract two digit numbers mentally (partitioning or finding the nearest multiple of ten and adjusting) • To add 3 one digit numbers mentally • To recognise odd and even numbers. • Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables. • To compare and order numbers to 100 • Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100. • Doubling one digit numbers and multiples of ten • Halving number up to 20 • Finding ½, ¼ and 1/3 of an amount


Multiplication • Calculate mathematical statements for multiplication within the multiplication tables and

write them using the multiplication and equals signs. • Show that multiplication of two numbers can be done in any order (commutative) • To use multiplication facts to work out the related division facts • Know that multiplying by 2 is the same as doubling • Solve problems involving multiplication of one digit by two digit numbers, using repeated

addition and number lines, including problems in contexts (see Calculations policy) E2 NUMBER

Division Fractions

• Calculate mathematical statements for division within the multiplication tables and write them using the division and equals signs.

• Know that dividing by 2 is the same as halving a number • To show that division of two numbers cannot be done in any order • To use division facts to work out the related multiplication facts • To find ½ and ¼ of an amount • Solve problems involving division of a two digit by a one digit number, using materials,

arrays and number lines, including problems in contexts (see Calculations policy). E3 MEASUREMENT

Mass Investigation Opportunity

• Choose and use appropriate standard units to estimate and measure mass to the nearest gram/kilogram, using kitchen scales and weighing scales.

• Compare and order mass (kg, g), using greater than, less than and equals to signs. • Solve addition and subtraction problems involving mass.

E4 GEOMETRY Properties of shapes Investigation Opportunity

• To order and arrange combinations of mathematical objects in patterns and sequences, including shapes in different orientations.

• To carry out investigations involving 2D shapes, e.g. investigating how many different triangles you can make using pin boards, recording on isometric paper and sorting into groups, explaining how they have sorted them.

• Deciding on their own criteria for sorting quadrilaterals. • To create and name 3D shapes from nets.

E5 Assess & Analyse STATISTICS Bar Charts


• Collect discrete data and record onto simple tables, e.g. What colour eyes do the children in the class have?, etc.

• Interpret and construct vertical bar charts, using scales that go up in 2s, 5s and 10s (up to 50) Ask and answer questions about totals and comparing totals


Unit Topic Lesson Objectives F1 NUMBER &

MEASUREMENT Addition/Subtraction Money

• Add 3 one digit numbers using different representations (number lines, partitioning) mentally (finding the nearest multiple of ten and adjusting).

• Add and subtract two digit numbers using different representations (see Calculations Policy)

• Finding different combinations of coins that equal the same amount of money • Combine amounts to make a particular value • To solve addition and subtraction problems in the context of money, including giving

change (see Calculations Policy) F2 STATISTICS &

MEASUREMENT Length, Height Bar Charts Investigation Opportunity

• Choose and use appropriate standard units to estimate and measure length/height in any direction, to the nearest metre/centimetre/millimetre using rulers, tape measures and metre sticks.

• Compare and order lengths (m, cm, mm). • Collect discrete data and record onto simple tables, e.g. What types of TV

programmes do you like best? – films, cartoons, sports, nature, etc. • Interpret and construct horizontal and vertical bar charts, using scales that go up in 2s,

5s and 10s (up to 50) • Ask and answer questions about totals, comparing totals, adding and subtracting

totals F3 MEASUREMENT

Time

• Compare and sequence intervals of time (o’clock, half past, quarter past, quarter to). • To know the number of minutes in an hour and the number of hours in a day • To tell and write the time to five minutes, including quarter past/to, and draw the

hands on a clock face to show the times (analogue clock). • To relate the 5 times table to the hands on a clock • To solve addition and subtraction problems involving time

F4 NUMBER (revision) Addition, subtraction, Multiplication & Division

• Review all mental methods for the 4 operations. • Review all formal written methods for the 4 operations.

• MATHS TEST

F5 Assess & Analyse • Assessment of half terms units will take place during week and analysis with phase leader will follow.

• Remaining days can be used to address the most obvious misconceptions/issues. F6 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each

class.




• Count from 0 in multiples of 4, 8, 50 and 100. • Find 10 or 100 more or less than a given number. • Add and subtract numbers mentally including: three digit number and ones; three digit number and tens. • Through doubling and halving, they can connect the 2, 4 and 8 multiplication tables. • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • Count up and down in tenths. • To mentally add and subtract amounts of money mentally, including mixed units. • To name and describe 2D shapes. • Rounding 2 and 3 digit numbers to the nearest 10 or 100. • To order numbers up to 3 digits.


Place Value Addition & Subtraction

• Count from 0 in multiples of 4, 8, 50 and 100. • Find 10 or 100 more or less than a given number. • Recognise the place value of each digit in a three digit number (HTU). • To use partitioning and place value to write related number sentences or to complete the

missing number, e.g. 146 = 100 + 40 + 6 and 146 = 130 + 16. • To order numbers up to 3 digits. • Identify, represent and estimate numbers using different representations, including

number lines, base ten (dienes) blocks, place value charts and cards. • Add and subtract numbers mentally including: three digit numbers and ones and three

digit number and tens. A2 NUMBER

Place Value Addition & Subtraction Investigation Opportunity

• Solve missing number problems involving addition and subtraction. • Add and subtract numbers up to three digits, using formal written methods of columnar

addition and subtraction (see Calculations Policy). • Round 2 and 3 digit numbers to the nearest 10 and 100. • Use rounding to estimate addition and subtraction calculations.


• Recall and use multiplication facts for the 3, 4 and 8 multiplication tables. • Through doubling, they can connect the 2, 4 and 8 multiplication tables. • Write and calculate mathematical statements for multiplication using the multiplication

tables that they know, including 2 digit numbers times 1 digit, mentally and progressing to formal written methods (refer to calculation policy).

• Solve missing number problems using multiplication. • To derive related multiplication facts, e.g. 3 x 2 = 6 therefore 30 x 20 = 60

A4 NUMBER Division

• Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • Through doubling and halving, they can connect the 2, 4 and 8 multiplication tables. • Write and calculate mathematical statements for division using the multiplication tables

that they know, including 2 digit times 1 digit, mentally and progressing to formal written methods (see Calculations Policy).

• Solve missing number problems including multiplication and division, understanding that multiplication is the inverse of division.

• To derive related division facts, e.g. 6 ÷ 2 = 3, 60 ÷ 3 = 20, 20 = 60 ÷3, etc. A5 NUMBER

Fractions • Count up and down in tenths. • Recognise that tenths arise from dividing an object into ten equal parts. • Recognise, find and write fractions of a discrete set of objects: using unit fractions (where

the numerator is one and the denominator is a positive number) and non-‐unit fractions (where the numerator is not one).

• Recognise and order fractions on a number line (unit and non-‐unit), between 0 and 1. • Adding and subtracting fractions with the same denominator within one whole.

A6 Assess & Analyse MEASUREMENT Capacity Investigation Opportunity



• To read scales in millilitres and litres. • Compare and order capacity (including mixed units 1L and 200 ML) • To solve addition and subtraction problems involving capacity.


Unit Topic Lesson Objectives B1 NUMBER &

MEASUREMENT Addition & Subtraction Money

• To count up and back in 5ps, 10ps, 20ps and 50ps, using mixed units, e.g. £1 and 40p, £1 and 60p, £1 and 80p, £2, etc.

• To mentally add and subtract amounts of money, including mixed units. • To add and subtract amounts of money to give change, using both £ and p in practical

contexts, including mixed units, e.g. £2 and 40p • To know that 100p is the same a £1 • To solve one step money problems, using formal written methods for addition and

subtraction. B2 MEASUREMENT

Length & Height Investigation Opportunity

• Choose and use appropriate standard units to estimate and measure length/height in any direction, to the nearest metre/centimetre/millimetre using rulers, tape measures, metre sticks and trundle wheels.

• Compare and order lengths (m, cm, mm), including mixed units • Solve addition and subtraction problems involving lengths/heights.

B3 GEOMETRY & MEASUREMENT Drawing & Measuring 2D shapes Perimeter

• To accurately draw, name and describe 2D shapes (cm). • To identify horizontal and vertical lines and pairs of perpendicular and parallel lines. • To identify and draw symmetrical and non-‐symmetrical polygons (to the nearest ½ cm

and to mm). • To measure the perimeter of simple 2D shapes (cm/mm), including mixed units

B4 MEASUREMENT Read, Write and Compare Times

• To tell and write the time from an analogue clock (12-‐hour clocks). • To estimate and read time with increasing accuracy (from nearest five minutes to the

nearest minute). • Know the number of seconds in a minute and the number of days in each month, year

and leap year. • Record and compare time in terms of seconds, minutes, hours and o’clock; use

vocabulary such as a.m/p.m., morning, afternoon, noon and midnight. • Compare and record durations of events, for example to calculate the time taken by

particular events or tasks. B5 STATISTICS

Drawing & Interpreting Pictograms

• To interpret and present discrete data using pictograms and tables. • To understand and use simple scales of 2, 5, 10, 20, 50, 100. • To solve one-‐step questions when interpreting data in a range of contexts using ‘how

many more’ and ‘how many fewer’. B6 Assess & Analyse

MEASUREMENT Mass Investigation Opportunity


• Choose and use appropriate standard units to estimate and measure mass to the nearest gram/kilogram, including mixed units and using standard weights on a balance scale and electronic scales.

• Compare and order mass (kg, g), including mixed units. • Solve addition and subtraction problems involving mass, including mixed units.

B7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.



• Count from 0 in multiples of 4, 8, 50 and 100. • Find 10 or 100 more or less than a given number. • Add and subtract numbers mentally including: three digit number and ones; three digit number and tens. • To double and halve numbers up to 20. • Through doubling, they can connect the 2, 4 and 8 multiplication tables. • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • To count up and down in fractions (tenths, fifths). • To mentally add and subtract amounts of money mentally, including mixed units. • To name and describe 2D shapes (cm). • To accurately order units of time (second, minute, hour, day). • To recognise 3D shapes in different orientations and describe them. • Rounding 2 and 3 digit numbers to the nearest 10 or 100. • To order numbers up to 3 digits. • Read and write numbers up to 1000 in numerals and in words.


Addition & Subtraction Multiplication & Division (revision)

• Read and write numbers up to 1000 in numerals and in words. • Count from 0 in multiples of 4, 8, 50 and 100. • Review formal written methods for the 4 operations (see Calculations policy)

• MATHS TEST

C2 NUMBER Multiplication

• Recall and use multiplication facts for the 3, 4 and 8 multiplication tables. • Through doubling, they can connect the 2, 4 and 8 multiplication tables. • Write and calculate mathematical statements for multiplication using the

multiplication tables that they know, including 2 digit numbers times 1 digit, mentally and progressing to formal written methods (see Calculations Policy).

• Solve missing number problems using multiplication. • To derive related multiplication facts, e.g. 3 x 2 = 6 therefore 30 x 20 = 60

C3 NUMBER Division

• Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • Through doubling and halving, they can connect the 2, 4 and 8 multiplication tables. • Write and calculate mathematical statements for division using the multiplication

tables that they know, including 2 digit times 1 digit, mentally and progressing to formal written methods (see Calculations Policy).

• Solve missing number problems including multiplication and division, understanding that multiplication is the inverse of division.

• To derive related division facts, e.g. 6 ÷ 2 = 3, 60 ÷ 3 = 20, 20 = 60 ÷3, etc. C4 STATISTICS

Drawing & Interpreting Bar Charts

• To interpret and present discrete data using bar charts and tables. • To understand and use simple scales of 2, 5, 10, 20, 50, 100. • To solve one-‐step questions when interpreting data in a range of contexts using ‘how

many more’ and ‘how many fewer’. C5 Assess & Analyse

NUMBER Fractions


• Count up and down in tenths and fifths. • Recognise that tenths arise from dividing one digit numbers or quantities by 10. • Find fractions of numbers using unit fractions. • To recognise and show, using diagrams, equivalent fractions with small

denominations. • Compare and order unit fractions and those with the same denominator, between 0

and 1. • To solve problems that involve all of the above.


Unit Topic Lesson Objectives D1 MEASUREMENT

Capacity Addition & Subtraction


• To read scales in millilitres and litres. • Compare and order capacity (including mixed units 1L and 200 ML) • To solve addition and subtraction problems involving capacity. • To solve comparison problems, including simple scaling by integers (a given measure

is twice as much or five times larger) directly connected to multiplication. D2 MEASUREMENT

Length & Height Addition & Subtraction

• To measure lengths and heights using a range of units (mm, cm, m). • To order and compare amounts of length/height, including mixed units. • To add and subtract lengths/heights. • To solve problems in measuring and scaling contexts (e.g., 4x as long, 8x as high).

D3 MEASUREMENT

Time Addition & Subtraction

• To tell and write the time from an analogue clock using roman numerals from I to XII. • To tell and write the time from digital 12-‐hour and 24-‐hour clocks. • To order and compare times from a digital 12-‐hour and 24-‐hour clock. • Know the number of seconds in a minute and the number of days in each month, year

and leap year. • To accurately order units of time (second, minute, hour, day). • To solve problems involving the addition and subtraction of times.

D4 GEOMETRY & MEASUREMENT 2D/3D shapes & angles Investigation Opportunity

• To recognise 3D shapes in different orientations and describe them. • To make 3D shapes from nets. • To recognise angles as a property of a shape or description of a turn. • To identify right angles. • Recognise that two right angles make a half turn, three a three quarter turn and four a

complete turn. • Identify angles as acute or obtuse in comparison to a right angle.

D5 Assess & Analyse NUMBER & MEASUREMENT Place Value Addition & Subtraction Money


• Recognise the place value of each digit in a three digit number. • Find 10 or 100 more or less than a given number. • Add and subtract a three digit number and ones, a three digit number and tens and a

three digit number and hundreds mentally. • Solve problems, including missing number problems, using related number facts and

place value. • To count up and back in 5ps, 10ps, 20ps and 50ps, using mixed units, e.g. £1 and 40p,

£1 and 60p, £1 and 80p, £2, etc. • Solve addition and subtraction word problems within the context of money.




• Count from 0 in multiples of 4, 8, 50 and 100. • Find 10 or 100 more or less than a given number. • To be able to read roman numerals up to 50. • Read and write numbers up to 1000 in numerals and in words. • Add and subtract numbers mentally including: three digit number and ones; three digit number and tens. • Through doubling, they can connect the 2, 4 and 8 multiplication tables. • To double and halve numbers up to 20. • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • To count up and down in fractions (tenths, fifths). • To mentally add and subtract amounts of money mentally, including mixed units. • To accurately draw, name and describe 2D shapes (cm). • To accurately order units of time (second, minute, hour, day). • To recognise 3D shapes in different orientations and describe them. • Mentally add amounts of money, partitioning into £ and p. • Become fluent in recognising the value of coins. • To accurately compare the duration of events.


Place Value Multiplication

• Compare and order numbers up to 1000. • Read and write numbers up to 1000 in numerals and in words. • To develop efficient mental methods using commutativity and associativity, e.g.

4 x 12 x 5 = 4 x 5 x 12 = 20 x 12 = 240. • Use formal written methods (see Calculation Policy) for multiplication. • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • To solve correspondence problems, deciding which of the 4 operations to use, in which m

objects is connected to n objects, e.g. 3 hats and 4 coats, how many different outfits? E2 NUMBER

Division • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables. • To mentally find unit fractions of an amount. • To use partitioning to find a half of even 2 and 3 digit numbers. • To divide numbers beginning to use formal written methods (see Calculation Policy). • To solve correspondence problems, deciding which of the 4 operations to use, in which m

objects is connected to n objects, e.g. 12 sweets shared equally between 4 children; 4 cakes shared equally between 8 children.

E3 STATISTICS Drawing & Interpreting Pictograms

• To interpret and present discrete data using pictograms and tables. • To understand and use simple scales of 2, 5, 10, 20, 50, 100, 1000. • To solve one-‐step and two-‐step questions when interpreting data in a range of contexts

using ‘how many more’ and ‘how many fewer’. E4 STATISTICS

Drawing & Interpreting Bar Charts

• To interpret and present discrete data using bar charts and tables. • To understand and use simple scales of 2, 5, 10, 20, 50, 100, 1000. • To solve one-‐step and two-‐step questions when interpreting data in a range of contexts

using ‘how many more’ and ‘how many fewer’. E5 Assess & Analyse

MEASUREMENT Drawing & Measuring 2D Shapes Perimeter Investigation Opportunity


• To accurately draw, name and describe 2D shapes (cms and mms). • To identify horizontal and vertical lines and pairs of perpendicular and parallel lines. • To identify and draw symmetrical and non-‐symmetrical polygons (to the nearest ½ cm

and to mm). • To measure and calculate the perimeter of regular and irregular 2D shapes (cm/mm/m),

including mixed units.


Unit Topic Lesson Objectives F1 NUMBER &

MEASUREMENT Place Value Addition & Subtraction Mass

• Partition numbers using the place value of their digit to enable mental addition and subtraction.

• Mentally add and subtract number including a three digit number and ones, three digit number and tens, three digit number and hundreds.

• To order and compare amounts of mass, including mixed units. • Add and subtract numbers with up to 3 digits, using formal columnar methods. (see

Calculations Policy) • To solve addition and subtraction problems in the context of mass. • Estimate the answer to a calculation using rounding and use inverse operations to check

answers. F2 MEASUREMENT &

NUMBER Time Addition & Subtraction

• To tell and write the time from an analogue clock using roman numerals from I to XII. • To tell and write the time from digital 12-‐hour and 24-‐hour clocks. • To order and compare times from a digital 12-‐hour and 24-‐hour clock. • Know the number of seconds in a minute and the number of days in each month, year

and leap year. • To accurately order units of time (second, minute, hour, day). • To solve problems involving the addition and subtraction of times.

F3 NUMBER Fractions

• Order and compare fractions using fractions where the denominators are the same, or common multiples and going beyond 1, i.e. using mixed fractions.

• Express mixed fractions as top heavy fractions and visual representations. • Find fractions of numbers using unit fractions, moving onto non unit fractions.

F4 NUMBER (revision) Addition, subtraction, Multiplication & Division

• Review all mental methods for the 4 operations. • Review all formal written methods for the 4 operations.

• MATHS TEST

F5 Assess & Analyse GEOMETRY & MEASUREMENT 2D/3D Shapes & Angles


• Carry out investigations involving 2D/3D shapes and angles.





• To count in multiples of 6, 7, 9, 25 and 100. • To find 1000 more or less than a given number. • Order and compare numbers to 1000. • To recognise the place value of each digit in a four-‐digit number (thousands, hundreds, tens and ones). • Round any number to the nearest 10, 100 or 1000. • Recall multiplication and division facts for multiplication tables up to 12 x 12. • Use related facts to multiply and divide, e.g. doubling, halving, making the number ten times small before

multiplying/dividing • Order decimal numbers • Add and subtract two digit numbers using rounding and adjusting and partitioning • Double and half two digit numbers, using multiplication and division facts, partitioning and near doubles • To find fraction of an amount, including non-‐unit fractions • Count backwards through zero to include negative numbers


Number & Place Value Investigation Opportunity

• To count in multiples of 6, 7, 9, 25 and 100. • To find 1000 more or less than a given number. • Order and compare numbers to 1000. • To recognise the place value of each digit in a four-‐digit number (thousands, hundreds,

tens and ones). • To identify, represent and estimate numbers using different representations, including

number lines, base ten (dienes) blocks, place value charts and cards • Round any number to the nearest 10, 100 or 1000. • Solve number and practical problems that involve all of the above and with increasingly

large positive numbers. A2 NUMBER

Addition & Subtraction

• Read roman numerals to 100 (I to C) and know that over time the numeral system changed to include the concept of zero and place value.

• Count backwards through zero to include negative numbers • Add and subtract numbers with up to 4 digits using the formal written methods of

columnar addition and subtraction where appropriate (see Calculations Policy). • Estimate and use inverse operations to check answers to a calculation. • Solve addition and subtraction two step problems in contexts, deciding which operations

and methods to use and why. A3 NUMBER

Multiplication • Recall multiplication and division facts for multiplication tables up to 12 x 12, including

multiplying by 0. • Identify and use related facts (doubling) when multiplying by 3, 6 and 12 and by 2, 4 and

8 • Identify and use related facts when multiplying by multiples of ten, e.g. 4 x 30 instead do

4 x 3 = 12 x 10 = 120 • Multiply 2 digit and 3 digit numbers by 1 digit number using formal methods (see

Calculations Policy). • Solve problems using multiplication (see Calculations Policy).

A4 NUMBER Division

• Use related multiplication facts to divide mentally • Identify and use related facts (halving) when dividing by 12, 6 and 3 and by 8, 4 and 2 • Identify and use related facts when dividing multiples of ten by a one digit number, e.g.

120 ÷ 4, you would do 12 ÷ 4 = 3 x 10 = 30 • Divide 2 digit and 3 digit numbers by 1 digit number using formal methods (refer to

calculation policy). • Solve problems using division (see Calculations Policy).

A5 NUMBER Fractions &

• Count up and down in tenths and hundredths. • Introduce concept of decimals using visual representation of hundredths, tens and ones.

Decimals • Relate visual representation to place value chart. • Recognise and write decimal equivalents of any number of tenths or hundredths,

including mixed numbers • Recognise and write fraction equivalence for decimal notation (tenths and hundredths),

including mixed fractions A6 Assess & Analyse

MEASUREMENT Time


• Read, write and convert time between analogue and digital 12 and 24 hour clocks. • Solve problems involving converting from hours to minutes; minutes to seconds; years to

months; weeks to days. A7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each

class.


MEASUREMENT Fractions/Decimals

• Recognise and show, using diagrams, families of common equivalent fractions • Solve problems involving increasingly harder fractions to calculate quantities, and

fractions to divide quantities, including non-‐unit fractions (e.g., 3/8 of 32). • Add and subtract fractions with the same denominator, including mixed fractions • Compare and order mixed fractions and decimals (tenths and hundredths).

B2 MEASUREMENT Area & Perimeter Conversion Investigation Opportunity

• Convert between different units of measure (mm to cm; cm to metres) • Measure and calculate the perimeter of a rectilinear figure in metres, centimetres

and mm. • Find the perimeter of shapes using algebra 2(a + b) where a and b are the dimensions

in the same unit (eg, a rectangle). • Find the area of rectilinear shapes by first counting squares. • Find area of rectilinear shapes by multiplying length x width.

B3 STATISTICS

• Interpret and present discrete data using appropriate graphical methods -‐ bar charts and pictograms.

• Solve comparison, sum and difference problems using information from bar charts, pictograms and tables.

• Use of appropriate and challenging scales in representations (eg, 25s, 50s, 100s, 1000s)

B4 NUMBER & MEASUREMENT Addition & Subtraction Money

• To know the value of each digit when using decimal notation and relate this to money

• Order amounts of money with both decimal notation and £ and p • Add and subtract money (decimal notation) with up to 3 digits using the formal

written methods of column addition and subtraction (see Calculations Policy). • To estimate and solve addition and subtraction problems in the context of money,

including finding change B5 POSITION/DIRECTION

Co-‐ordinates Symmetry/translation Investigation Opportunity

• Describe positions on a 2D grid as coordinates in the first quadrant. • Plot specified points and draw sides to complete a given polygon. • Identify lines of symmetry in 2D shapes presented in different orientations. • Complete a simple symmetric figure with respect to a specific line of symmetry, using

the first quadrant of a coordinate’s grid. • Describe movements between positions as translations of a given unit to the

left/right and up/down (all within one quadrant). B6 Assess & Analyse

GEOMETRY Angles Investigation Opportunity


• Compare and classify quadrilaterals, based on their properties. • Investigate the properties of quadrilaterals. • Identify acute angles in relation to a right angle. • Identify obtuse angles in relation to a right angle.

Identify acute, obtuse and right angles in 2D and 3D shapes. B7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to

each class.



• To count in multiples of 6, 7, 9, 25, 100 and 1000. • To find 1000 more or less than a given number. • Order and compare numbers beyond 1000. • To recognise the place value of each digit in a four-‐digit number (thousands, hundreds, tens and ones). • Round any number to the nearest 10, 100 or 1000. • Recall multiplication and division facts for multiplication tables up to 12 x 12. • Use related facts to multiply and divide, e.g. doubling, halving, making the number ten times small before

multiplying/dividing • Order decimal numbers • Add and subtract two digit numbers using rounding and adjusting and partitioning • Double and half two digit numbers, using multiplication and division facts, partitioning and near doubles • To recognise and use factor pairs in mental calculations • To multiply and divide numbers by 10 and 100, including decimal numbers • To find fraction of an amount, including non-‐unit fractions • To count up and back in tenths and hundredths (fractions and decimals) • To identify factors of a given number • Count backwards through zero to include negative numbers


Addition & Subtraction Multiplication & Division (revision)

• Review formal written methods for the 4 operations (see Calculations Policy)

• MATHS TEST

C2 NUMBER Place Value Multiplication

• Order and compare numbers beyond 1000. • To recognise commutativity in mental calculations, e.g. 4 x 7 = 7 x 4 • Identify and use related facts (doubling) when multiplying by 3, 6 and 12 and by 2, 4

and 8 • Identify and use related facts when multiplying by multiples of ten, e.g. 4 x 30 instead

do 4 x 3 = 12 x 10 = 120 • Multiply 2 digit and 3 digit numbers by 1 and 2 digit number using formal methods

(see Calculations Policy). • Solve problems using multiplication (see Calculations Policy).

C3 NUMBER Place Value Division

• To introduce the term factor and to identify factors of given numbers • To investigate factors using divisibility tests • Identify and use related facts (halving) when dividing by 12, 6 and 3 and by 8, 4 and 2 • Identify and use related facts when dividing multiples of ten by a one digit number,

e.g. 120 ÷ 4, you would do 12 ÷ 4 = 3 x 10 = 30 • Divide 2 and 3 digit numbers by 1 digit number using formal methods (see

Calculations Policy). • Solve problems using division (see Calculations Policy).

C4 NUMBER Decimals

• To divide one or two digit numbers by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths

• To multiply numbers by 10 and 100, including decimal numbers • Round decimals with one decimal place to the nearest whole number • Compare numbers with the same number of decimal places up to two decimal places • To solve addition and subtraction measuring problems, involving decimals to two

decimal places C5 Assess & Analyse

NUMBER Fractions


• Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-‐unit fractions (eg, 3/8 of 32).

• Recognise and show, using diagrams, families of common equivalent fractions • To recognise and write decimal equivalents to ¼, 1/2 and ¾

• To solve problems involving fraction equivalence and fractions of amounts



Multiplication • To solve problems involving multiplying and adding, using the distributive and

associative laws, e.g. children write statements about the equality of expressions 39 x 7 = 30 x 7 + 9 x 7 (distributive law) and (2 x 3) x 4 = 2 x (3 x 4) (associative law)

• To combine their knowledge of number facts to solve mental and written calculations, e.g. 2 x 6 x 5 = 10 x 6 = 60

• To solve two step problems in context, choosing the appropriate operation (see Calculations Policy)

D2 NUMBER Division

• To solve division calculations mentally, extending to three digit numbers to derive facts, e.g. 600 ÷ 3 = 200 can be derived form 2 x 3 = 6

• To recognise and use factor pairs in mental calculations • Divide 3 digit numbers by 1 digit number using formal methods (see Calculations

Policy). • To solve problems including integer scaling, e.g. The length of my scarf is 240cm.

What would the length by if it was 3 times smaller? D3 STATISTICS & NUMBER

Bar Charts Investigation Opportunity

• Collect, present and interpret discrete data using bar charts. • Round decimal numbers to the nearest whole number. • Round decimal numbers to one decimal place. • Use of appropriate and challenging scales in representations (eg, 20s, 25s, 50s, 100s,

1000s, 0.1s, 0.2s, 0.5s) • Solve comparison, sum and difference problems using information from bar charts

and tables. D4 NUMBER &

MEASUREMENT Addition/Subtraction Time

• Read roman numerals to 100 (I to C). • Review -‐ Read, write and convert time between analogue and digital 12 and 24 hour

clocks. • Solve addition and subtraction problems involving time • Solve problems involving converting from hours to minutes; minutes to seconds; years

to months; weeks to days. D5 Assess & Analyse

GEOMETRY Properties of Shapes Angles Investigation Opportunity


• Compare and classify triangles, based on their properties, including their internal angles.

• Carry out triangle investigations • To measure and draw right, acute and obtuse angles




• To count in multiples of 6, 7, 9, 25, 100 and 1000. • To find 1000 more or less than a given number. • Order and compare numbers beyond 1000. • To recognise the place value of each digit in a four-‐digit number (thousands, hundreds, tens and ones). • Round any number to the nearest 10, 100 or 1000. • Recall multiplication and division facts for multiplication tables up to 12 x 12. • Use related facts to multiply and divide, e.g. doubling, halving, making the number ten times small before

multiplying/dividing • Order decimal numbers • Add and subtract two digit numbers using rounding and adjusting and partitioning • Double and half two digit numbers, using multiplication and division facts, partitioning and near doubles • To recognise and use factor pairs in mental calculations • To multiply and divide numbers by 10, 100 and 1000, including decimal numbers • To find fraction of an amount, including non-‐unit fractions • To count up and back in tenths and hundredths (fractions and decimals) • To identify factors of a given number • Convert different units of measure (mm, cm, m, km, ml, l, g, kg) • To combine their knowledge of number facts to solve mental calculations • To round a decimal number (1dp) to the nearest whole number • Count backwards through zero to include negative numbers


Multiplication

• To solve problems involving multiplying and adding, using the distributive and associative laws, e.g. children write statements about the equality of expressions 39 x 7 = 30 x 7 + 9 x 7 (distributive law) and (2 x 3) x 4 = 2 x (3 x 4) (associative law)

• To combine their knowledge of number facts to solve mental and written calculations, e.g. 2 x 6 x 5 = 10 x 6 = 60

• Multiply 2 digit and 3 digit numbers by 1 digit number using formal methods in two step problems (see Calculations Policy).

• To solve problems including integer scaling, e.g. I bought a 150ml bottle of water and my friend bought a bottle 4 times bigger. What was the capacity of my friend’s bottle?

E2 MEASUREMENT Mass Conversions & Problem Solving

• To read a range of scales involving grams and kilograms • To know how many grams in a kilogram • To convert grams to kilograms and vice versa • To order, compare and estimate different amounts of mass • To solve problems in the context of mass, using all 4 operations

E3 MEASUREMENT Length & Distance Conversions & Problem Solving

• To know how many millimetres in a centimetre, how many centimetres are in a metre and how many metres are in a kilometre

• To convert mm to cm, cm to m and m to km and vice versa • To order different lengths, including decimal notation • To solve problems in the context of length and distance, using all 4 operations

E4 STATISTICS & NUMBER Line Graphs

• Present and interpret continuous data using line graphs. • Use of appropriate and challenging scales in representations (eg, 20s, 25s, 50s, 100s,

1000s) • To describe patterns in data. • Solve comparison, sum and difference problems using information from line graphs

and tables. E5 Assess & Analyse

MEASUREMENT Area & Perimeter


• Measure and calculate the perimeter of irregular polygons in centimetres and mm,

using decimal notation • Find the perimeter of shapes using algebra 2(a + b) where a and b are the dimensions

Investigation Opportunity

in the same unit (eg, a rectangle). • Find area of rectilinear shapes by multiplying length x width. • Divide an irregular shape into rectangles to find the total area


Unit Topic Lesson Objectives F1 NUMBER

Division

• To solve division calculations mentally, extending to three digit numbers to derive facts, e.g. 600 ÷ 3 = 200 can be derived form 2 x 3 = 6

• Divide 3 digit numbers by 1 digit number using formal methods (see Calculations Policy).

• To solve problems including integer scaling, e.g. The length of my scarf is 240cm. What would the length by if it was 3 times smaller?

F2 MEASUREMENT Capacity Conversions & Problem Solving Investigation Opportunity

• To read a range of scales involving litres and millilitres • To know how many millilitres in a litre • To convert millilitres to litres and vice versa • To order, compare and estimate different capacities • To solve problems in the context of capacity, using all 4 operations

F3 GEOMETRY & POSITION/DIRECTION Symmetry/translation Co-‐ordinates

• Describe positions on a 2D grid as coordinates in 2 quadrants. • Plot specified points in 2 quadrants. • Complete a simple symmetric figure with respect to a specific line of symmetry, using

two quadrants of a coordinate’s grid. • Describe movements between positions as translations of a given unit to the

left/right and up/down (across two quadrants). F4 NUMBER

Decimals Place Value Money Addition & Subtraction (revision)

• To divide one, two or three digit numbers by 10, 100 or 1000 • To multiply numbers by 10, 100 and 1000, including decimal numbers • Round decimals with one decimal place to the nearest whole number • Compare numbers with the same number of decimal places up to two decimal places • To estimate and solve addition and subtraction money problems, involving decimals

to two decimal places • MATHS TEST

F5 Assess & Analyse STATISTICS Line Graphs Decimals


• Present and interpret continuous data using line graphs and tables, looking at changes over time

• Use of appropriate and challenging scales in representations, including decimals (e.g., 20s, 25s, 50s, 100s, 1000s, 0.1s, 0.2s, 0.5s) Solve comparison, sum and difference problems using information from line graphs and tables.





• To read and write numbers to at least 1 000 000. • To determine the value of each digit in numbers up to at least 1 000 000. • To order and compare numbers to at least 1 000 000. • To round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000. • To count forwards and backwards in steps of powers of 10 for any given number up to 1 000 000. • Add and subtract numbers mentally with increasingly large numbers, e.g. 12 462 – 2 300 = 10 162. • To recognise, describe and complete linear number sequences. • Identify multiples and factors, including finding all factor pairs of number, and common factors of two numbers. • Compare and order fractions whose denominators are all multiples of the same number. • To be able to find fractions (unit and non-‐unit fractions) of numbers. • Read and write decimal numbers as fractions (e.g., 0.71 = 71/100) • Round decimals with two decimal places to the nearest whole number and to one decimal place. • Identify 3D shapes, including cubes and other cuboids, from 2D representations. • Read, write, order and compare numbers with up to three decimal places.



• To read and write numbers to at least 1 000 000. • To determine the value of each digit in numbers up to at least 1 000 000. • To order and compare numbers to at least 1 000 000. • To round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000. • To count forwards and backwards in steps of powers of 10 for any given number up to 1 000 000. • To solve one and two step addition and subtraction problems involving large numbers, up to at

least 1 000 000 (whole numbers). A2 NUMBER &

MEASUREMENT Addition & Subtraction Measures Negative numbers

• Add and subtract numbers mentally with increasingly large numbers, e.g. 12 462 – 2 300 = 10 162.

• To recognise, describe and complete linear number sequences. • Interpret negative numbers in context. • Count forwards and backwards with positive and negative whole numbers, including through

zero. • To solve multi-‐step problems applying knowledge of negative numbers, addition and subtraction. • Use rounding to check answers and determine levels of accuracy.


• Identify multiples and factors, including finding all factor pairs of number, and common factors of two numbers.

• To solve problems involving multiplication where larger number are used by decomposing them into their factors.

• To multiply numbers up to 4 digits by a one-‐ or two-‐ digit number using formal written methods (see Calculations Policy).

• Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding of the meaning of the = sign.

A4 NUMBER Division

• To solve problems involving division where larger number are used by decomposing them into their factors.

• To divide numbers up to 4 digits by a 1 digit number using formal written methods (see Calculation Policy).

• Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding of the meaning of the = sign.

A5 NUMBER Fractions

• Identify, name and write equivalent fractions of a given fraction, including tenths and hundredths.

• Compare and order fractions whose denominators are all multiples of the same number. • Add and subtract fractions finding the same denominator. • To be able to find fractions (unit and non-‐unit fractions) of numbers. • Recognise mixed numbers and improper fractions • Convert from mixed numbers to improper fractions (2/5 + 4/5 = 6/5 = 1 1/5) • Solve problems using a range of fractions.

A6 Assess & Analyse • Assessment of half terms units will take place during week and analysis with phase leader will

NUMBER Percentages

follow.

• Recognise the per cent symbol and understand that per cent relates to ‘number of parts out of 100’.

• Write percentages as a fraction with the denominator hundred. • Solve problems which require knowing percentage equivalents of ½, ¼, 1/5, 2/5, 4/5 and those

with a denominator of a multiple of 10 or 25. A7 Targeted Review • Objectives will come from gap analysis meeting with phase leader and specific to each class.

Unit Topic Lesson Objectives B1 MEASUREMENT

Volume & Capacity Addition, Subtraction, Multiplication & Division Investigation Opportunity

• Estimate, measure and solve problems using capacity (L/ml) • Convert between different units of metric measurement (L/ml) • Understand and use equivalences between metric and imperial units (litres to pints) • Estimate, create and calculate the volume of cubes and cuboids (using 1cm cubed blocks). • Solve problems involving estimation of volume and capacity, and use calculations to find an exact

solution.

B2 NUMBER Decimals Place Value Addition, Subtraction, Multiplication & Division

• Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents. • Identify, sort and order decimal numbers using place value charts and number lines. • Read, write, order and compare numbers with up to three decimal places. • To accurately round numbers to 3dp. • Solve problems involving number up to three decimal places (using all four operations).

B3 STATISTICS Line graphs Decimals

• Round decimals with two decimal places to the nearest whole number and to one decimal place. • Read scales (using time and measures) accurately on line graphs, including decimal scales up to

2dp. • Complete, read and interpret information in tables. • Create line graphs based on continuous data. • Solve comparison, sum and difference problems when interpreting line graphs

B4 GEOMETRY Angles Properties of shape

• Identify 3D shapes, including cubes and other cuboids, from 2D representations. • Know that angles are measured in degrees: estimate and compare acute, obtuse and reflex

angles. • Draw given angles and measure them in degrees (using a protractor). • Identify angles at a point and one whole turn. • Identify angles at a point on a straight line and ½ a turn (180 degrees). • Identify angles of other multiples of 90 degrees.

B5 MEASUREMENT Area & Perimeter Algebra Conversion Investigation Opportunity

• Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. • Calculate and compare the area of squares and rectangles including standard units, squared

centimetres and estimate the area of irregular shapes. • Use the relations of perimeter or area to find unknown lengths. • Express missing measures algebraically (4 + 2b = 20 for a rectangle of 2 sides 2cm and bcm and a

perimeter of 20cm) • Convert between different units of metric measure (km and metres, cm and metre, cm and mm).

B6 Assess & Analyse MEASUREMENT GEOMETRY Investigation Opportunity


• To find missing angles knowing knowledge of angles. • To find missing lengths using knowledge of area and perimeter. • To use formulae to find the area and perimeter of shapes.




• To read and write numbers to at least 1 000 000. • To determine the value of each digit in numbers up to at least 1 000 000. • To order and compare numbers to at least 1 000 000. • To round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000. • To count forwards and backwards in steps of powers of 10 for any given number up to 1 000 000. • Add and subtract numbers mentally with increasingly large numbers, e.g. 12 462 – 2 300 = 10 162. • To recognise, describe and complete linear number sequences. • Identify multiples and factors, including finding all factor pairs of number, and common factors of two numbers. • Compare and order fractions whose denominators are all multiples of the same number. • To be able to find fractions (unit and non-‐unit fractions) of numbers. • Read and write decimal numbers as fractions (e.g., 0.71 = 71/100) • Round decimals with two decimal places to the nearest whole number and to one decimal place. • Identify 3D shapes, including cubes and other cuboids, from 2D representations. • Read, write, order and compare numbers with up to three decimal places. • Read roman numerals to 1000 (M) and recognise years written in Roman numerals. • Count forwards and backwards with positive and negative whole numbers, including through zero. • Establish whether a number up to 100 is prime and recall prime numbers up to 19. • Recognise and use square numbers and cube numbers, and the notation for squared and cubed.


(revision) • Review formal written methods for the 4 operations (see Calculations Policy)

• MATHS TEST

C2 NUMBER Multiplication & Division Investigation Opportunity

• To know and use the vocabulary of prime numbers, prime factors and composite (non-‐prime) numbers.

• Establish whether a number up to 100 is prime and recall prime numbers up to 19. • Recognise and use square numbers and cube numbers, and the notation for squared

and cubed. • Solve problems involving multiplication and division using their knowledge of factors

and multiples, squares and cubes. • Multiply and divide whole numbers and decimals by 10, 100 and 1000.

C3 MEASUREMENT & NUMBER Money Addition & Subtraction Decimals

• Round decimals with up to 2 decimal places to the nearest whole number and to 1 decimal place.

• Use rounding to check answers to calculations and determine, in the context of the problem, levels of accuracy.

• Mentally add and subtract with increasingly large numbers (up to 10 000’s) • To add and subtract whole numbers with more than four digits using formal written

methods. • To use addition and subtraction to solve problems involving money, using decimal

notation. (see Calculations Policy) C4 MEASUREMENT

Time Conversion

• Read roman numerals to 1000 (M) and recognise years written in Roman numerals. • To read and write time in both analogue and digital clocks, and compare between the

two. • Be able to read and interpret 24 hour clocks. • To convert time from 24 hour to 12 hour clocks and vice versa. • Use reading of time to solve problems in a context (timetables). • To solve problems converting between units of time: hours into minutes, minutes into

seconds, years to months, weeks to days. C5 Assess & Analyse

NUMBER Multiplication & Division


• Multiply numbers up to 4 digits by a one or two digit number using a formal written

method. (see Calculations Policy) • Multiply and divide numbers mentally drawing upon known facts.

• Divide numbers up to 4 digits by a one digit number using the formal written methods of division. (see Calculations Policy)



Fractions Decimals Percentages

• To count forwards and backwards in simple fractions. • To read and write decimals as fractions. • Recognise and use thousandths and relate them to tenths, hundredths and decimal

equivalents. • Recognise the per cent symbol (%) and understands that it relates to number of parts

per hundred. • Write percentages as a fraction with the denominator 100, and as a decimal. • Solve problems which require knowing percentage and decimal equivalents of 1/2, ¼,

1/5 and those with a denominator of a multiple of 10 or 25. D2 STATISTICS

Line graphs Negative numbers Large numbers

• To accurately assign suitable scales to a set of data. • To compare varying sets of data within a line graph. • Read, use and apply scales up to 100 000 and smaller scales including negative

numbers • To use negative numbers accurately in a scale. • To create and complete line graphs to represent data increasingly accurately. • Solve comparison, sum and difference problems when interpreting line graphs (large

numbers and negative numbers) • Interpret graphs to show trends, patterns and anomalies.

D3 STATISTICS & MEASUREMENT Timetables Conversion

• To create tables which present a set of information. • To be able to read and interpret time in tables (e.g., timetables) • Interpret tables in order to help solve problems. • To solve two step problems interpreting and reading data tables. • To create tables to solve a contextual problem.

D4 POSITION & DIRECTION Co-‐ordinates 4 quadrants Investigation Opportunity

• Describe positions on a full coordinate grid (all four quadrants). • To use coordinates to investigate and solve problems.

D5 Assess & Analyse GEOMETRY & POSITION/DIRECTION Reflection/translation


• To identify and represent the position of a shape following a reflection. • Recognise and use reflections in a variety of diagrams. • To translate shapes across four quadrants giving clear direction. • To describe the position of a shape following a reflection or translation.




• To read and write numbers to at least 1 000 000. • To determine the value of each digit in numbers up to at least 1 000 000. • To round any number up to 1 000 000 to the nearest 10, 100, 1000, 10 000. • To count forwards and backwards in steps of powers of 10 for any given number up to 1 000 000. • Add and subtract numbers mentally with increasingly large numbers, e.g. 12 462 – 2 300 = 10 162. • Identify multiples and factors, including finding all factor pairs of number, and common factors of two numbers. • Compare and order fractions whose denominators are all multiples of the same number. • To be able to find fractions (unit and non-‐unit fractions) of numbers. • Round decimals with two decimal places to the nearest whole number and to one decimal place. • Identify 3D shapes, including cubes and other cuboids, from 2D representations. • Read, write, order and compare numbers with up to three decimal places. • Read roman numerals to 1000 (M) and recognise years written in Roman numerals. • Count forwards and backwards with positive and negative whole numbers, including through zero. • Establish whether a number up to 100 is prime and recall prime numbers up to 19. • Recognise and use square numbers and cube numbers, and the notation for squared and cubed. • Multiply and divide numbers mentally drawing upon known facts. • To convert fractions into decimals and vice versa. • Multiply and divide decimal and integer numbers by 10, 100 and 1000. • To mentally add and subtract tenths, and one digit whole numbers and tenths. • To find percentages of numbers by using common number facts (finding 1/10 or 10% of a number).


Multiplication & Division Ratio

• Multiply numbers up to 4 digits by a one or two digit number using a formal written method.

• Multiply and divide numbers mentally drawing upon known facts. • Divide numbers up to 4 digits by a one digit number using the formal written

methods of division. • Begin to solve problems where a scale factor is known, or can be found.

E2 GEOMETRY Angles Properties of shape Investigation Opportunity

• To draw given angles and measure them accurately (using a protractor) in degrees. • To find missing angles and lengths within shapes. • To use the properties of rectangles to deduce related facts. • To find missing angles within triangles, rectangles and within other shapes.

E3 GEOMETRY & AREA AND PERIMETER Angles Investigation Opportunity

• Distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

• To use algebraic terms to find area of shapes. • To find the area of compound shapes. • Measure and calculate the perimeter of rectilinear shapes in cm and metres.

E4 NUMBER Decimals Fractions

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

• Read and write decimal numbers as fractions (e.g., 0.71 = 71/100) • To convert fractions into decimals and vice versa. • To express the relationship and equivalence between fractions and decimals. • Read, write and order numbers with up to three decimal places. • Solve problems involving number up to three decimal places.

E5 Assess & Analyse NUMBER Fractions Decimals


• To compare and order fractions whose denominators are multiples of the same number.

• To multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams.


Unit Topic Lesson Objectives F1 POSITION &

DIRECTION Co-‐ordinates Reflection, translation & rotation Investigation Opportunity

• Accurately read co-‐ordinates in up to four quadrants. • To translate shapes in multiple step problems. • To be able to describe how a shape can be reflected, translated or rotated without

being changed. • To reflect a shape away from a line of reflection but in lines that are parallel to the

axes. • To use co-‐ordinate skills in a clear context (grid references and ordnance survey)

F2 STATISTICS & MEASUREMENT Mass Bar charts Line graphs

• To analyse and interpret a range of representations of data (bar charts, line graphs). • Read graphs with a range of scales including mass. • Know and understand metric and imperial measures of mass. • Choose appropriate scales (with reasoning) for sets of data. • Plot information in line graphs accurately with scales of up to 2 dp. • To accurately describe patterns, trends and anomalies within a set of data.

F3 NUMBER Fractions, Decimals & Percentages

• To mentally add and subtract tenths, and one digit whole numbers and tenths. • To be able to find fractions of amounts (2/5 of 85). • To find percentages of numbers by using common number facts (finding 1/10 or 10%

of a number). • Solve problems involving the calculation of percentages (eg, 15% of 360), and the use

of percentages for comparison. F4 MEASUREMENT &

NUMBER Multiplication & Division (revision) Investigation Opportunity

• Multiply and divide mentally drawing upon known facts. • Multiply and divide decimal and integer numbers by 10, 100 and 1000. • Pupils use multiplication and division as inverse operations (to support ratio and

proportion in Year 6). • Solve problems involving all four operations, including understanding the meaning of

the equals sign. • MATHS TEST

F5 Assess & Analyse Number Ratio and Proportion Investigation Opportunity


• Solve problems involving all four operations, including understanding the meaning of the equals sign.

• Investigate the meaning of the equals sign using basic algebra (2a = 4, a= 2). • Solve problems involving multiplication and division, including scaling by further

fractions. • Solve practical problems to visualise ratio and proportion.





• Read and write numbers up to 10 000 000. • Order and compare numbers up to 10 000 000 and determine the value of each digit. • Round any whole number to a required degree of accuracy. • Perform mental calculations, including with mixed operations and large numbers. • Identify common factors, common multiples and prime numbers. • Use common multiples to express fractions in the same denomination. • Identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 where the

answers are up to 3 decimal places. • Multiply one digit numbers with up to two decimal places by whole numbers. • Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. • Be able to convert from km to m, metres to cm, cm to mm, as well as converting from miles to km. • Generate and describe linear number sequences. • Use common factors to simplify fractions. • To find fractions (unit and non-‐unit fractions) of numbers. • Use common multiples to express fractions in the same denomination. • Compare and order fractions, including fractions > 1 • Compare and classify geometric shapes based on properties.



• Read and write numbers up to 10 000 000. • Order and compare numbers up to 10 000 000 and determine the value of each digit. • Round any whole number to a required degree of accuracy. • Use negative numbers in context, and calculate intervals across zero. • Solve number and practical problems that involve all of the above.

A2 NUMBER Addition & Subtraction

• Perform mental calculations, including with mixed operations and large numbers. • To add and subtract whole numbers with more than four digits, including using formal

written methods (see Calculations Policy). • To add and subtract four/five digit decimal numbers (see Calculations Policy). • Solve addition and subtraction multi step problems in contexts, deciding which

operation and methods to use and why. A3 NUMBER

Multiplication Investigation Opportunity

• Perform mental calculations, including with mixed operations and large numbers. • Identify common factors, common multiples and prime numbers. • Multiply multi-‐digit numbers up to 4 digits by a two-‐digit whole number using formal

written methods (see Calculations Policy). • Use estimation to check answers to calculations and determine, in the context of

problem, levels of accuracy. A4 NUMBER

Division • Perform mental calculations, including with mixed operations and large numbers. • Divide numbers up to four digits by a two-‐digit whole number using formal written

methods and interpret remainders as whole numbers (see Calculations Policy). • Use estimation to check answers to calculations and determine, in the context of

problem, levels of accuracy. A5 MEASUREMENT

Area & Perimeter Conversion Investigation Opportunity

• Recognise that shapes with the same areas can have different perimeters and vice versa. • Recognise when it is possible to use formulae for area and volume of shapes. • Calculate the area of irregular shapes as well as regular shapes. • Use knowledge of area and perimeter to find unknown lengths. • Calculate the area of parallelograms and triangles. • Be able to convert from km to m, metres to cm, cm to mm, as well as converting from

miles to km. A6 Assess & Analyse

• Assessment of half terms units will take place during week and analysis with phase

leader will follow.

ALGEBRA Number sequences Missing Numbers Investigation Opportunity

• Express missing number problems algebraically. • Use simple formulae expressed in words. • Generate and describe linear number sequences. • Find pairs of numbers that satisfy number sentences involving two unknowns. • Enumerate all possibilities of combinations of two variables.



MEASUREMENT Fractions

• Use common factors to simplify fractions. • To find fractions of numbers. • Use common multiples to express fractions in the same denomination. • Compare and order fractions, including fractions > 1 • Add and subtract fractions with different denominators and mixed numbers, using the

concept of equivalent fractions. • Multiply simple pairs of proper fractions, writing the answer in its simplest form (e.g. ¼

x ½ = 1/8) • Divide proper fractions by whole numbers (1/3 divided by 2 = 1/6)

B2 NUMBER & MEASUREMENT Decimals & Percentages Conversion between units

• Identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 where the answers are up to 3 decimal places.

• Multiply one digit numbers with up to two decimal places by whole numbers. • Use written division methods in cases where the answer has up to two decimal places

(see Calculations Policy). • Associate a fraction with division and calculate decimal fraction equivalents (0.375) for

a simple fraction (3/8). • Recall and use equivalences between simple fractions, decimals and percentages,

including in different contexts. B3 GEOMETRY

Angles Properties of shape Investigation Opportunity

• Draw 2D shapes using given dimensions and angles. • Find unknown angles in any triangle, quadrilateral and regular polygon. • Recognise angles where they meet at a point, are on a straight line, or are vertically

opposite, and find missing angles.

B4 STATISTICS Pie charts Line graphs Investigation Opportunity

• Interpret pie charts using their knowledge of angles, fractions and percentages. • Construct pie charts and line graphs based on topics arising from their own enquiry. • Use line graphs to solve problems (interpreting conversion graphs from km to miles). • Calculate and interpret the mean as an average, knowing when it is appropriate to find

the mean of a data set.

B5 RATIO AND PROPORTION

• Recognise proportionality in contexts when the relations between quantities are in the same ratio (e.g., recipes, similar shapes).

• Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.

• Solve problems involving the calculation of percentages such as 15% of 360, and the use of percentages for comparison.

• Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

B6 Assess & Analyse GEOMETRY Properties of 3D shapes Investigation Opportunity


• Recognise, describe and build simple 3D shapes, including making nets. • Compare and compare geometric shapes based on their properties and sizes.




• Read and write numbers up to 10 000 000. • Order and compare numbers up to 10 000 000 and determine the value of each digit. • Round any whole number to a required degree of accuracy. • Perform mental calculations, including with mixed operations and large numbers. • Identify common factors, common multiples and prime numbers. • Use common multiples to express fractions in the same denomination. • Identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 where the

answers are up to 3 decimal places. • Multiply one digit numbers with up to two decimal places by whole numbers. • Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. • Generate and describe linear number sequences. • Use common factors to simplify fractions. • To find fractions (unit and non-‐unit fractions) of numbers. • Use common multiples to express fractions in the same denomination. • Compare and order fractions, including fractions > 1 • Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. • To be able to convert between standardised units of measure. • To read, interpret and analyse tables involving time. • Solve problems involving similar shapes where the scale factor is known or can be found. • To solve problems involving unequal quantities using knowledge of fractions and multiples (for every egg, I need three

spoonfuls of flour). • Recognise and describe 3D shapes, including nets. • Compare and classify geometric shapes based on properties.

Unit Topic Lesson Objectives C1 NUMBER &

MEASUREMENT Multiplication, Division, Addition & Subtraction Money

• Use estimation to check answers to calculations and determine an appropriate degree of accuracy.

• Identify common factors, common multiples and prime numbers. • Use knowledge of the order of operations to carry out calculations involving the four

operations. • Multiply multi digit numbers up to 4 digits by a two digit whole number using the

formal written method of long multiplication (see Calculations Policy). • Divide numbers up to four digits by a two digit whole number using formal written

methods (see Calculations Policy). • To use knowledge of the four operations to carry out calculations involving the four

operations. C2 ALGEBRA

Number sequences Missing Numbers

• Begin to use basic formulae. • To generate and describe linear number patterns. • To find pairs of numbers that satisfy an equation with two unknowns (3a + b = 18,

where one option could be a=5 b=3). • To represent variables and unknowns that they already understand, using symbols

and letters: missing lengths, numbers, coordinates and angles. C3 MEASUREMENT

Volume Conversion Investigation Opportunity

• To recognise when it is possible to use formulae for area and volume of shapes. • To estimate the volume of cubes and cuboids using standard units including cubic

centimetres and cubic metres (cm3 and m3). • To compare volumes of different objects using both standard and non standard units. • To calculate the volume of cubes and cuboids using standard units. • To be able to convert between standardised units of measure.

C4 MEASUREMENT & STATISTICS Time Conversion Reading Tables

• To use, read, write and convert between standard units, converting measurements of time.

• To read, interpret and analyse tables involving time. • To interpret and construct pie charts connecting work on angles, fractions and

percentages.

• To interpret line graphs in order to solve problems. C5 Assess & Analyse

POSITION/DIRECTION Reflection, rotation and translation Co-‐ordinates Investigation Opportunity


• To draw and label a pair of axes in all four quadrants with equal scaling. • To be able to describe positions on a full coordinate grid (four quadrants). • To predict missing coordinates by properties of shapes and knowledge of numbers.



Fractions Decimals Percentages

• Identify the value of each digit in numbers given up to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to 3 dp.

• Multiply one digit numbers with up to 2dp by whole numbers. • Recall and use equivalences between simple fractions, decimals and percentages,

including in different contexts. • Calculate common percentages of numbers to help solve more complex problems

(45% of 320). D2 RATIO & PROPORTION

• Solve problems involving the relative sizes of two quantities where missing values

can be found by using integer multiplication and division. • Solve problems involving the calculation of percentages where percentages are used

for comparison (e.g., calculating pie charts using 360 degrees). • Solve problems involving similar shapes where the scale factor is known or can be

found. • To solve problems involving unequal quantities using knowledge of fractions and

multiples (for every egg, I need three spoonfuls of flour). D3 GEOMETRY

Angles Conversion

• To draw 2D shapes using given dimensions and angles. • Recognise and describe 3D shapes, including nets. • Compare and classify geometric shapes based on properties. • To illustrate and name parts of a circle including radius, circumference and diameter. • Use terms of a circle to enable problem solving (e.g., knowing 2 x radius = diameter)

using algebraic terms (d = 2 x r).

D4 STATISTICS Interpreting data

• To interpret pie charts and line graphs • To use pie charts and line graphs to help solve problems • Calculate and interpret the mean as an average • Interpret and analyse a range of graphs, including scatter graphs • To use reasoning to explain trends and anomalies

D5 Assess & Analyse POSITION/DIRECTION Reflection, rotation and translation Co-‐ordinates


• To be able to describe, draw and translate positions on a full coordinate grid (four

quadrants). • Pupils draw and label rectangles (including squares), parallelograms and rhombuses,

specified by coordinates in the four quadrants. • To predict missing coordinates by properties of shapes and knowledge of numbers. • To solve problems using knowledge of co-‐ordinates, translation and reflection




• Perform mental calculations, including with mixed operations and large numbers. • Identify common factors, common multiples and prime numbers. • Use common multiples to express fractions in the same denomination. • Identify the value of each digit to 3 decimal places and multiply and divide numbers by 10, 100 and 1000 where the

answers are up to 3 decimal places. • Multiply one digit numbers with up to two decimal places by whole numbers. • Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. • Compare and compare geometric shapes based on their properties and sizes. • To be able to convert between standardised units of measure. • To read, interpret and analyse tables involving time. • Solve problems involving similar shapes where the scale factor is known or can be found. • To solve problems involving unequal quantities using knowledge of fractions and multiples (for every egg, I need three

spoonfuls of flour). • Recognise and describe 3D shapes, including nets. • Compare and classify geometric shapes based on properties. • To find vertically opposite angles. • To use symbols and letters to represent missing lengths, coordinate and angles. • To understand and use a range of different averages.

Unit Topic Lesson Objectives E1 REVISION

• SET OBJECTIVES BASED ON ON-‐GOING ASSESSMENTS

E2 SATS TESTS (tbc each year)

• -‐

E3 POSITION/DIRECTION Reflection, rotation and translation Co-‐ordinates Investigation Opportunity

• To draw shapes accurately from given coordinates onto a four quadrant grid. • To be able to reflect shapes on a four quadrant grid with a variety of mirror lines. • To use knowledge of translation to solve problems (e.g., predicting where a

translated shape will translate to next). • Use knowledge of coordinates, translation, rotation and reflection to solve

increasingly complex problems.

E4 NUMBER Fractions Decimals Percentages

• To compare and order fractions, including fractions > 1. • Multiply pairs of fractions (eg, ¼ x ½ = 1/8) • Divide proper fractions by whole numbers (1/3 divided by 2 = 1/6) • To find the lowest common denominator in order to solve a variety of problems (e.g.,

ordering fractions, adding and subtracting fractions, comparing fractions). • To use knowledge of fractions to multiply quantities to find the whole quantity (e.g.,

¼ of a length is 36cm, so whole length is 36 x 4 = 144cm). E5 Assess & Analyse

GEOMETRY Angles Properties of shape Investigation Opportunity


• To find unknown angles in any triangle, quadrilateral and regular polygon. • To recognise angles where they meet at a point. • To find missing angles on a straight line or within a polygon. • To find vertically opposite angles. • To solve multi step problems involving missing angles.


Unit Topic Lesson Objectives F1 STATISTICS

Line graphs Investigation Opportunity

• To construct a line of enquiry investigating two variables. • To collect set of continuous data accurately. • To read and construct line graphs relating two variables of their own enquiry. • To interpret and analyse line graphs for trends and comparisons.

F2 STATISTICS Pie charts Mean Percentages Angles

• To construct pie charts in order to solve a problem. • To calculate the mean of a data set. • To understand and use a range of different averages. • To interpret and analyse pie charts using percentages and angles.

F3 ALGEBRA Number sequences Missing Numbers

• To use symbols and letters to represent missing lengths, coordinate and angles. • To make generalisations and rules regarding number patterns (e.g., nth term). • To express missing number problems algebraically. • To enumerate possibilities of combinations of two variables.

F4 NUMBER Multiplication, Division, Addition and Subtraction

• Use mental calculations with increasingly large numbers and more complex calculations.

• Solve addition and subtraction multi step problems in contexts. • Use all four operations in a range of contexts. • Round numbers to at least two decimal places where appropriate.

F5 Assess & Analyse MEASUREMENT Area, Perimeter & Volume Investigation Opportunity


• To recognise and describe how shapes with the same area might have different

perimeters and vice versa. • To recognise where it is possible to use formulae for area and volume of shapes. • To calculate the area of parallelograms and triangles. • Use knowledge of area to be able to solve problems. • To solve multi step problems involving area, perimeter and volume.


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