Overcoming Barriers
Support, advice and identified learning targets across the mathematical strands to help children progress to level 2 in mathematics by the end of Year 2.
Overcoming Barriers topics
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Addition and subtraction facts
Ideas for planning and teaching guided activities to enable children to know addition and subtraction facts for each number to 20 and quickly derive all pairs of multiples of 5 that total 100.

Making decisions about which operation to use
Ideas for planning and teaching guided activities to enable children to decide which operation to use when solving word problems across the four operations.

Overcoming barriers in mathematics: Helping children move from level 1 to 2
These materials are designed to help you ensure that as many children as possible progress to level 2 in mathematics by the end of Year 2.

Calculating
This is the first strand of Overcoming barriers  helping children move from level 1 to level 2.

Add to a twodigit number to make multiples of ten

Add and subtract a multiple of ten

Add or subtract a onedigit number to or from a twodigit number

Describe an array and write number sentences

Find a difference between a pair of numbers

Record number sentences and explain the signs and numbers

Solve problems with multiplication as repeated addition

Use grouping to solve division

Work out and record the information I need to solve a puzzle or problem

Write addition and subtraction sentences using the same three numbers


Counting and understanding numbers
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including counting, ordering and partitioning twodigit numbers, and rounding twodigit numbers to the nearest 10. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 1 to 2’.

Count in equal steps and explain patterns

Describe how to order twodigit numbers

Partition a twodigit number into tens and ones to create addition and subtraction sentences

Partition one and twodigit numbers

Round a twodigit number to the nearest ten

Show a whole number on a 0 to 100 number line


Knowing and using number facts
This is the fourth strand of Overcoming barriers – helping children move from level 1 to level 2.

Understanding shape
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including naming and describing 2D and 3D shapes, and sorting shapes by similarities and differences. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 1 to 2’.

Measuring
This is the fifth strand of Overcoming barriers  helping children move from level 1 to level 2.


Overcoming barriers in mathematics: Helping children move from level 2 to 3
These materials are designed to help you ensure that as many children as possible progress to level 3 in mathematics by the end of Year 4. The materials address key areas of mathematics that commonly present barriers to learning for children working towards level 3. They provide support and advice on teaching approaches designed to help children overcome these barriers.

Calculating
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including subtraction as the inverse of addition, multiplication by 10 and 100 and recording mathematical methods. This is part of 'Overcoming barriers in mathematics: Helping children move from level 2 to 3'.

Subtract mentally combinations of onedigit and twodigit numbers

Subtraction fact that is the inverse of an addition fact and vice versa

Multiply onedigit and twodigit numbers by 10 and 100

Multiply a twodigit number by a onedigit number

Find a unit fraction of a shape, number or quantity by splitting it into the correct number of equal parts

Identify the calculation needed to solve a word problem

Identify the stages involved in a twostep problem

Divide a twodigit number by a onedigit number and explain any remainders

Explain and record my methods and solutions


Handling data
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including creating and interpreting bar charts, pictograms and making and using lists and tables of data. These activities are part of ‘Overcoming barriers in mathematics: Helping children move from level 2 to 3’.

Counting and understanding numbers
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including rounding up, decimal notation, reading and writing fractions, and ordering numbers on a number line. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 2 to 3’.

Knowing and using number facts
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including recalling and using addition, subtraction, multiplication and division facts for numbers and timestables. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 2 to 3’.

Understanding shape
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including making, naming and describing 2D and 3D shapes, and sorting shapes using their own criteria. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 2 to 3’.

Measuring
These lesson activities, questions and vocabulary lists can help children to understand mathematical concepts they find difficult, including the relationship between weights, scale on a number line and digital and analogue time. This information is part of ‘Overcoming barriers in mathematics: Helping children move from level 2 to 3’.

Explain the relationships between kilometres and metres, metres and centimetres, kilograms and grams, litres and millilitres

Explain what each division means on a number line to read a scale to the nearest division

Read the time to the nearest five minutes on an analogue clock, using the correct vocabulary

Show on a digital clock a time given to me on an analogue clock, and the other way round

Work out how long it is between two times



Place value and ordering threedigit numbers
Ideas for planning and teaching guided activities to enable children to interpret the value of a digit in a threedigit number and to order numbers 0 to 1000 in relation to landmark multiples.

Planning the teaching and learning of mathematics using Overcoming barriers in mathematics – helping children move from level 1 to level 2
Planning the teaching and learning of mathematics using Overcoming barriers in mathematics – helping children move from level 1 to level 21. Introduction to the materials2. The structure of the materials3. Getting started – targeting children 4. Planning from and using the materialsa. Using the materials – Year 2 teacher and teaching assistantb. Using the materials – teaching assistant and an individual child

Planning the teaching and learning of mathematics using Overcoming barriers in mathematics – helping children move from level 1 to level 2
Planning the teaching and learning of mathematics using Overcoming barriers in mathematics – helping children move from level 1 to level 21. Introduction to the materials2. The structure of the materials3. Getting started – targeting children 4. Planning from and using the materialsa. Using the materials – Year 2 teacher and teaching assistantb. Using the materials – teaching assistant and an individual child

Introduction to materials

The structure of materials

Getting started—targeting children

Planning from and using the materials

Research—Year 2 children who get 'stuck' at level 2C in mathematics (summary of findings)

Research—Year 2 children who get 'stuck' at level 2C in mathematics (place value and mental calculation)

Research—year 2 children who get 'stuck' at level 2C in mathematics (problem solving, recording, using mathematical vocabulary)



Reading the time on analogue and digital clocks
Ideas for planning and teaching guided activities to enable children to read the time to five minutes on an analogue and a 12hour digital clock and use the notation 9.40.

Recognising and using unit fractions to find fractions of numbers
Ideas for planning and teaching guided activities to enable children to recognise unit fractions such as ½, ¼ and 1/10 and use them to find fractions of numbers.

Subtraction by counting on from the smaller number
Ideas for planning and teaching guided activities to enable children to find a small difference by counting on from the smaller to the larger number, and apply this to compare lengths of objects.

Understanding division and multiplication
Ideas for planning and teaching guided activities to enable children to understand division as grouping.