Maths

In this unit pupils will represent multiples of ten using numerals and names and use knowledge of facts and unitising to add and subtract multiples of ten. In the future unit pupils will learn that 100 is composed of ten tens and one hundred ones.  They will learn that 100 is composed of 50s, 25s and 20s. They will use known facts to find multiples of ten that compose 100.

In the prior unit pupils extended their counting to counting the decade numbers and making representations using a variety of different manipulatives. In this unit pupils will represent multiples of ten using numerals and names and and use knowledge of facts and unitising to add and subtract multiples of ten.

Composition of  multiples of 10

In this unit pupils will explore the counting sequence for counting to 100 and beyond and represent the numbers from 20-99 in different ways including marking the position on a number line. They learn to represent 20-99 as a length. In the future unit pupils consolidate their counting across and on from 100. They will learn to represent a three-digit number up to 199 in different ways.

In the prior unit pupils extended their counting to 100 They explored pattern in counting, focused on the end of the decade and the start of the new decade numbers. In this unit pupils will explore the counting sequence for counting to 100 and beyond representing numbers from 20-99 in different ways including marking the position on a number line They will learn to represent 20-99 as a length.

Counting and representing the numbers 20 to 99

In this unit pupils will compare two 2-digit numbers and partition a 2-digit number into 10s and 1s and position on a number line. In the future unit pupils will find a 2-digit number and a 1 or 2-digit number that compose 100.  Pupils will position 3-digit numbers on a number line and estimate the position of 3-digit numbers on unmarked number lines. They will compare and order 3 digit numbers.

In the prior unit pupils explained that items could be compared using length and height, weight/mass and volume/capacity. They compared sets of objects using equality/inequality symbols. In this unit pupils will compare two 2-digit numbers and partition a 2-digit number into 10s and 1s and position on a number line.

Comparing, ordering and partitioning 2-digit numbers

In this unit pupils will revisit addition and subtraction within ten. They will consolidate addition and subtraction strategies. In the future unit pupils will revisit their understanding that addends can be added in any order. They will consolidate adding and subtracting two numbers that bridge through 10.

In the prior unit pupils explained that addition is commutative. They found pairs of numbers to 10 and added or subtracted 1 from any number. In this unit pupils will revisit addition and subtraction within ten. They will consolidate addition and subtraction strategies.

Secure fluency of addition and subtraction facts within 10

In this unit pupils will add 3 addends. They will use a strategy such as finding 2 addends to total 10 or 2 numbers to bridge though 10.  In the future unit pupils will add and subtract 1s and 10s from 2 digit numbers. They will use number facts to add/subtract a single-digit number to/from a 2-digit number .They will use a part-part-whole model to represent addition and subtraction.

In the prior unit pupils revisited addition and subtraction within ten. They consolidated addition and subtraction strategies. In this unit pupils will add 3 addends. They will use a strategy such as finding 2 addends to total 10 or 2 numbers to bridge though 10.

Calculating within 20

In this unit pupils will add and subtract 1s and 10s from 2 digit numbers. They will use number facts to add/subtract a single-digit number to/from a 2-digit number. They will use a part-part-whole model to represent addition and subtraction. In the future unit pupils will learn to find 10 more or less than a 2-digit number They will  add and subtract 10 to/from a 2-digit number using number facts

In the prior unit pupils added 3 addends. They used strategies such as finding 2 addends to total 10 or 2 numbers to bridge though 10. In this unit pupils will add and subtract 1s and 10s from 2 digit numbers. They will use number facts to add/subtract a single-digit number to/from a 2-digit number. They will use a part-part-whole model to represent addition and subtraction.

Adding and subtracting ones and tens to and from 2-digit numbers

In this unit pupils will describe how objects are grouped and will represent equal groups as repeated addition and multiplication. In the future unit pupils will represent the 2x and 10x table in different ways using 2x/10x table to solve problems. They will explain the relationship between adjacent multiples of 2/10 and that factor pairs can be written in any order.

In the prior unit pupils extended their counting to counting the decade numbers and made representations using a variety of different manipulatives. In this unit pupils will describe how objects are grouped and will represent equal groups as repeated addition and multiplication.

Grouping objects in different ways and relating to multiplication

In this unit pupils will represent the 2x 10x table in different ways and use 2x 10x table to solve problems. They will explain the relationship between adjacent multiples of 2/10 and that factor pairs can be written in any order. In the future unit pupils will represent the 5s in different ways. They will explain the relationship between adjacent multiples of 5 and how 5x and 10x are related.

In the prior unit pupils represented multiples of ten using numerals and names and and used knowledge of facts and unitising to add and subtract multiples of ten. In this unit pupils will represent the 2x 10x table in different ways and use 2x 10x table to solve problems. They will explain the relationship between adjacent multiples of 2/10 and that factor pairs can be written in any order.

Representing counting in 2s, 5s and 10s as the 2, 5 and 10 times tables

In this unit pupils will represent the 5x in different ways. They will explain the relationship between adjacent multiples of 5 and how 5x and 10x are related. In the future unit pupils will learn how a multiplication equation with 2 as a factor relates to doubling and how a division equation with 2 as a divisor relates to halving. They will explain the relationship between factors and products.

In the prior unit pupils represented the 2x 10x table in different ways using 2x 10x table to solve problems. They explained the relationship between adjacent multiples of 2/10 and that factor pairs can be written in any order. In this unit pupils will represent the 5x in different ways. They will explain the relationship between adjacent multiples of 5 and how 5x and 10x are related.

Representing counting in 5s as the 5 times table and link to the 10 times tables

In this unit pupils will learn how multiplication with 2 as a factor relates to doubling and how we can see halving as the inverse of doubling, deriving the related halving fact from a known double. In the future unit pupils will double and halve 2 digit numbers. Pupils will use knowledge of doubling and halving and the 2x table to solve problems.

In the prior unit pupils represented the 2x 10x table in different ways. They explained the relationship between adjacent multiples of 2/10 and how factor pairs can be written in any order. In this unit pupils will learn how multiplication with 2 as a factor relates to doubling and how we can see halving as the inverse of doubling, deriving the related halving fact from a known double. 

Multiplying by 2, doubling and halving (factors and products)

In this unit pupils will explain when objects can and cannot be grouped or shared equally. In the future unit pupils will learn how to find the quotient for 2x 5x 10x tables. They will learn how a division equation with 2 as a divisor is related to halving and each part of a division equation and how they can be interchanged. They will use divisibility rules to solve problems.

In the prior unit pupils learned how a multiplication equation with 2 as a factor related to doubling and how a division equation with 2 as a divisor related to halving. They explained the relationship between factors and products. In this unit pupils will explain when objects can and cannot be grouped or shared equally.

Introduction to division structures

In this unit pupils will learn that polygons can be described, sorted, compared and named according to the number of sides and vertices. They will describe 3D shapes finding different ways to sort and compare them. In the future unit pupils will investigate different ways to compose and decompose a polygon. They will investigate quadrilaterals with and without parallel and perpendicular sides. 

In the prior unit pupils composed, copied, extended and developed repeating and radiating patterns. They explored, discussed, and compared 3D and 2D shapes. In this unit pupils will learn that polygons can be described, sorted, compared and named according to the number of sides and vertices. They will describe 3D shapes, finding different ways to sort and compare them.

Shape: discuss and compare 2D and 3D shapes

In this unit pupils apply their knowledge of known facts and understanding of place value to add and subtract with 2-digit numbers both within and across the tens boundary. In the future unit pupils will add 3 addends, understanding they can be added in any order, bridging through 10.

In the prior unit pupils added and subtracted 1s and 10s from 2 digit numbers. They used number facts to add/subtract a single-digit number to/from a 2-digit number and used a part-part-whole model to represent addition and subtraction. In this unit pupils apply knowledge of known facts and understanding of place value to add and subtract with 2-digit numbers within and across the tens boundary.

Addition and subtraction of two 2-digit numbers

In this unit pupils will recognise and use symbols for pounds and pence combining amounts to make particular values. They will solve simple problems including giving change. In the future unit pupils will explain represent and compare whole pounds and pence.  They will convert quantities of money between pounds and pence using the most efficient and reliable strategy to find the change.

In the prior unit pupils consolidated their recognition and knowledge of the value of different denominations of coins. They solved simple problems practically involving addition and subtraction of money of the same unit. In this unit pupils will recognise and use symbols for pounds and pence combining amounts to make particular values. They will solve simple problems including giving change.

Money: recognise coins and use £ and p symbols

In this unit pupils will identify whether something has or has not been split into equal parts. They will name fractions one-half one-quarter and one-third in relation to a fraction of a length, shape or set of objects. In the future unit pupils will represent unit fractions in different ways identifying the whole the number of equal parts, the size of each part as a unit fraction including tenths

In the prior unit pupils described position, direction and movement, including whole, half, quarter and three-quarter turns. In this unit pupils will identify whether something has or has not been split into equal parts. They will name fractions one-half one-quarter and one-third in relation to a fraction of a length shape or set of objects.

Fractions: identify equal parts and be familiar with halves, thirds and quarters

In this unit pupils will consolidate their understanding of time by comparing and sequencing intervals of time. They will learn to write the time to 5 minutes, including quarter past/quarter to. In the future unit pupils will tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12-hour and 24-hour clocks. 

In the prior unit pupils sequenced events in chronological order and recognised and used language related to dates. They told the time to the hour and half past the hour, linked to fractions. In this unit pupils will consolidate their understanding of time by comparing and sequencing intervals of time. They will learn to write the time to 5 minutes, including quarter past/quarter to.

Time: write and tell the time to five minutes

In this unit pupils will order and arrange combinations of objects in patterns and sequences They will consolidate understanding of whole half quarter and three-quarter turns using mathematical vocabulary to describe position direction and movement. In the future unit pupils will rotate 2 lines around a fixed point to make different sized angles They will identify vertices

In the prior unit pupils described position, direction and movement, including whole, half, quarter and three-quarter turns. In this unit pupils will order and arrange combinations of objects in patterns and sequences They will consolidate understanding of whole, half, quarter and three-quarter turns using mathematical vocabulary to describe position direction and movement

Position and direction

In this unit pupils will double and halve 2-digit numbers. They will learn to use times table facts to find the quotient for 2x 5x 10x tables. Pupils will learn each part of a division equation and how they can be interchanged.  In the future unit pupils will solve multiplication and division problems using knowledge of the relationships between the 2x 4x 8x tables.

In the prior unit pupils learned how a multiplication equation with 2 as a factor related to doubling and how a division equation with 2 as a divisor related to halving. They explained the relationship between factors and products. In this unit pupils will double and halve 2-digit numbers. They will learn to use times table facts to find the quotient for 2x 5x 10x tables. 

Doubling, halving, quotative and partitive division

In this unit pupils will choose, use and compare appropriate standard units to estimate and measure length/height mass, capacity and temperature to the nearest appropriate unit.  In the future unit pupils will use weighing scales up to 1kg and tools to measure volume and capacity up to 1 litre. They will measure mass from 0 to above 1kg and measure volume from 0 to above 1 litre. 

In the prior unit pupils learned that polygons could be described sorted compared and named according to the number of sides and vertices They described 3D shapes finding different ways to sort and compare them In this unit pupils will choose use and compare appropriate standard units to estimate and measure length/height mass, capacity and temperature to the nearest appropriate unit

Maths

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