Help every child master maths

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Written by Ruth Merttens, Jennie Kerwin

and Hilda Merttens

Why Abacus?l Over 10,000 high quality resources all in one place to support your

maths teaching from Reception to Year 6.

l Everything you need to instil confidence and ensure understanding and progression for every child.

l Assessment resources and tools to help you track children’s attainment and their progress towards Age Related Expectations.

l Provides opportunities for mastery with greater depth.

Help every child master mathsAbacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every child master mathematical concepts.

It’s built on research into successful teaching in the UK by a team of expert authors and teaching practitioners to help you ensure mastery of skills for all.

We don’t have any children who don’t want to learn maths. In fact, quite the opposite: they’d rather learn maths than anything else. So I’d say Abacus has had a massive impact.

Deborah Hodgin, Deputy Head Teacher,Holy Trinity Church of England Primary School

© MindStudio. Pearson Education Ltd 3

How does it work?

Online Teacher Toolkit

A flexible toolkit that puts you in control, with over 10,000 resources,

activities, plans and assessment

tools.

We believe teachers make the biggest impact

Teachers are the true experts and research shows that good teaching produces

understanding. Abacus gives you the control and freedom

to make the right decisions for your children.

1We believe

understanding is keyAbacus is built on a

“four pillar” approach to give children:

An appreciation of our number system and strong grasp of place value.

A really good bank of number facts.

An exposure to consistent and developmental models and images.

An understanding of key maths functions such as doubling and halving.

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101

100

2x39+1

0123

2+28÷2

We believe in progression for all children

To ensure all children master the maths curriculum, Abacus

is built on a robust skills progression that outlines what skills children need to acquire and when. Prerequisites for learning are also built into every piece of teaching so

you can support all children to access Age Related

Expectations.

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Online Pupil World

An incredible online world filled with lively

and exciting maths games and rewards that your

digital-savvy kids will love.

Textbooks and WorkbooksBeautifully designed and

supportive textbooks and workbooks for

independent practice.

Professional DevelopmentTo help you develop

confidence in teaching for mastery with Abacus and start making an impact in

your school.

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Lessons are fun for the children and we have seen a complete shift

in their attitude towards maths.Karen Osmond, Maths Coordinator,

Speenhamland Primary School

© MindStudio. Pearson Education Ltd6

The Power of Abacus…

Over 80%of teachers say that Abacus significantly

contributes to children’s

engagement and enjoyment of

maths.

Over 90%of teachers say that Abacus contributes

significantly to breaking down the curriculum

into manageable teaching and

learning steps.

Over 75%of teachers say that Abacus contributes

significantly to children’s attainment,

progress and confidence in

maths.

Over 85%of teachers say

Abacus significantly helps them deliver

better maths lessons and builds

confidence in teaching maths.

Survey run by Pearson in 2015 measuring impact of Abacus on 95 teachers who have used Abacus for over a year.

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After the first year… I saw that the children’s assessment results had risen.

Amy Clements, Maths Co-ordinator,Cardiff Muslim Primary School

How does Abacus support teaching for mastery?Abacus supports you to teach for mastery by giving you the control, flexibility, and resources you need to ensure every child can achieve the deep and lasting understanding of maths required to meet Age Related Expectations. It puts you firmly in the driving seat and accommodates flexibility in planning so that you can give children as long as they need on a concept before moving them on.

The spiral structure of Abacus supports children in developing a secure understanding of mathematical concepts. It provides continuous opportunities for children to revise and practise what they have learnt to ensure a deep understanding and knowledge of maths concepts.

Intelligent spiral

Keeping the class together

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Daily guided activities, with in-built assessment focuses, give you frequent opportunities for targeted teaching, to identify and address misconceptions as they arise.

Prerequisite tool suggests resources to address misconceptions and consolidate prior learning.

Problem solving and reasoning skills

Consistency of models and images

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Games and activities stimulate children’s imaginations and challenge them to explain and apply their knowledge to solve contextual problems.

Links out to NRICH activities ensure all children in your class achieve a deep enough understanding to reason and problem solve.

Homework videos and worksheets further reinforce concepts and ideas taught in class, so that children can practise and further embed learning.

Regular whole class problem solving and reasoning activities, and weekly problem solving investigations, help develop conceptual understanding, and get children talking about real-life mathematics.

Number fluency5

Hundreds of activities to help reinforce key skills and keep number facts ‘on the boil’.

Practice games help develop fluency and are ideal for embedding learning at home.

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Teaching tools and screens provide a consistent and developmental approach to models and images.

Textbooks and workbooks reinforce the models and images so children become familiar with how to model and solve problems.

Mastery Checkpoints help to assess who has mastered the key objectives for the week, with accompanying teacher notes including a follow-up activity to address likely misconceptions.

TEACHING FOR MASTERY DEVELOPING SKILLS AND METASKILLS

EXPERT ADVICE AND SUPPORT FOR TEACHERS CONCEPTUAL UNDERSTANDING PROCEDURAL FLUENCY NUMBER FLUENCY PROBLEM SOLVING

AND REASONING SKILLS

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What’s in Abacus?= Professional Development= Print item = Online resource Key PD

Adaptable whole-class teaching tools provide a consistent and developmental set of models and images.

Carefully crafted textbooks and workbooks for independent practice.

Over 600 engaging and interactive Quick Maths activities for each day of the week – which keep key maths skills on the boil.

Whole-class Problem Solving and Reasoning Activities integrated into lesson plans support mathematical reasoning and logical thinking.

Flexible planning based on an intelligent spiral which places you in control.

Support to help you keep the whole class together, like prerequisites for learning which are built into all lessons to help you support children with accessing ARE.

‘Teaching for mastery’ support area packed with expert videos, advice and useful tools.

Hundreds of guided activities with supporting worksheets and assessments help diagnose misconceptions.

Interactive activities that develop speaking and listening skills and encourage mathematical conversation and collaboration.

Hundreds of homework sheets for independent practice at home, and supportive videos which explain key concepts covered in the classroom.

Over a thousand interactive screens tailored to curriculum objectives to engage children in mathematical concepts.

Graded Practice PowerPoints with carefully structured questions for the whole class.

Editable Fluency Fitness activities for reinforcing key maths skills.

Interactive activities that hook children into problem solving in meaningful every day contexts.

Resou

rce Sheet ©

Pearso

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uca

tion

Ltd 2013

Resource Sheet 56

Time cards

10 minutes past 4 10 minutes to 10

Quarter past 2 9 o’clock

5 minutes to 9 25 minutes past 2

20 minutes to 3 10 minutes to 5

Quarter past 7 20 minutes to 4

5 o’clock Half past 8

10 minutes past 5 Quarter to 1

5 minutes past 7 20 minutes past 6

25 minutes to 8 10 minutes to 11

Quarter to 4 Half past 12

Practical Five-Minute Filler activities for use outside the lesson – to recap key number facts.

Face-to-face Professional Development courses help you get to grips with teaching for mastery and embedding Abacus in your school.

PD

Hundreds of fun, independent maths practice games for school, home or on the move that children will want to play over and over again.

Links to low-threshold high-ceiling activities from NRICH help children to deepen their mathematical thinking.

Weekly editable and printable Problem Solving Investigations to help you deepen understanding and challenge the whole class.

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Year 4 Week 5 – Problem Solving Investigation

Pearson and the Hamilton Trust are not responsible for the quality, accuracy or fitness for purpose of the materials contained in the Word files once edited. To revert to the original Word files, re-download them from ActiveLearn Primary.

What we are told:

• Each letter represents a digit (0–9).

• The letter ‘O’ is zero.

What to do:

1. Write out this sum.

2. Work out which digit each letter represents.

3. Make a list of the letters so that you can match digits to them.

4. When you have found a solution – check it works!

5. Use this solution to find a different one where both T and G are two different digits, so they have not just swapped!

6. Can you find more than six different solutions?

Can you invent your own similar puzzle? (This is harder than you’d think!)

Teachers are looking forward to teaching maths – perhaps more than any other subject.

Deputy Headteacher, The Cathedral School of St. Saviour and St. Mary Overy, London

ASSESSING MASTERY

FORMATIVE SUMMATIVE

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Mastery Checkpoints assess key objectives and help you to intervene quickly and assess mastery at greater depth.

Tests and assessment guides to help you report where children are against ARE.

Interactive end-of-week quizzes support ongoing formative assessment.

Easy-to-use assessment and reporting tools help you track progress and attainment.

Year 4 Autumn Maths Progression Map Child’s name:________________________________________________

Number and Place Value

Addition and Subtraction Multiplication and Division Fractions, Decimals,

Ratio and Percentages Measures Geometry Statistics

Recognise the place value of each digit in a 4-digit number (thousands, hundreds, tens, and ones); Order and compare numbers with up to 4 digits.Week 2 Autumn 1 PSR

Know bonds to the next 100.Example: 54 + 46 362 + 38 653 + 47Week 1 Autumn 1 PSR

Recall multiplication and division facts for multiplication tables, for 2, 5, 10, 3, 4, 8, 6 and 9 times tables.Week 3; 9 (S); 10 (S) Autumn 1 Arithmetic Autumn 1 PSR

Begin to recognise and show families of common equivalent fractions.Week 6 Autumn 2 PSR

Solve simple measures problems and convert between different units of measure – mm, cm, m; ml, l; g, kg.Example: 0.7L = rml Write 1250g in kilograms.Week 4; 8 Autumn 1 & 2 PSR

Use mathematical reasoning to answer a question by collecting, displaying and interpreting data in a frequency table and bar chart, choosing an appropriate scale.Week 8 Autumn 2 PSR

Begin to place 4-digit numbers on number lines and round these to the nearest 10, 100 or 1000.Example: 4782 rounds to 4780, 4800, 5000Week 2; 9 Autumn 2 PSR

Use place value and number facts to add numbers with up to 4 digits, including fluency in adding any pair of 2-digit numbers.Example: 147 + 36 4286 + 199Week 1; 2; 5; 7 Autumn 1 PSR

Use table facts and commutativity to perform multiplications involving multiples of 10.Example: 40 × 6 300 × 8Week 3 Autumn 2 Arithmetic

Find the effect of dividing a 1-digit or 2-digit number by 10, and recognise that the first place after the decimal point is a tenth.Example: 5 ÷ 10 = 5/10 = 0.5 36 ÷ 10 = 36 /10 = 3.6 24 ÷ 10 = 24/10 = 2.4Week 7 Autumn 2 PSR

Read, write and convert time between analogue and digital 12-hour clocks. Example: 6:05 = five minutes past sixWeek 4 Autumn 1 PSR

Use column addition to add 3-digit numbers; begin to add 4-digit numbers.Week 5; 7 Autumn 1 & 2 Arithmetic Autumn 1 PSR

Use the distributive law to multiply 2-digit numbers by a 1-digit number using formal written layout or mental methods.Example: 4 × 65 94 × 7Week 3 Autumn 1 Arithmetic

Find unit fractions of amounts.Example: 1/4 of 24 1/3 of 30 1/8 of 32 Week 3 Autumn 1 PSR

Solve problems involving converting between units of time, from hours to minutes; minutes to seconds; years to months; weeks to days.Example: 1 minute 23 seconds = 83 seconds 231 minutes = 3 hours 51 minutesWeek 4 Autumn 1 PSR

Use counting up to subtract numbers with up to 3 digits crossing one multiple of 100.Example: 134 − 88 534 − 488 809 – 742Week 1; 2; 9 Autumn 1 PSR

Begin to use place value and known and derived facts to divide numbers above tables facts.Example: 56 ÷ 4 58 ÷ 4 176 ÷ 8Week 10 Autumn 2 Arithmetic Autumn 2 PSR

Count in fractions, expressing each fraction in its simplest form.Week 6

Read scales to the nearest 100 g and draw a bar chart where one step represents 100.Week 4

Choose a method to subtract that is appropriate to the numbers in the calculation.Example: 456 − 199 134 − 88 134 – 6Week 2; 7; 9

Double and halve 3-digit numbers using partitioning and be able to describe, explain and predict patterns.Example: Halve 684. Write a doubles chain past 1000 and write about the pattern in the units digits.Week 6 Autumn 2 PSR

Recognise and write decimal and fraction equivalents of tenths and a 1/2.Week 7 Autumn 2 PSR

© Pearson Education Ltd 2015

Progression maps help you identify key assessment outcomes for each year and spot gaps in pupils’ understanding.

Year 4 Autumn Maths Progression Map

Child’s name:________________________________________________

Number and Place

Value

Addition and

SubtractionMultiplication and Division

Fractions, Decimals,

Ratio and PercentagesMeasures

GeometryStatistics

Recognise the place value

of each digit in a 4-digit

number (thousands,

hundreds, tens, and

ones); Order and compare

numbers with up to 4 digits.

Week 2 Autumn 1 PSR

Know bonds to the next

100.

Example: 54 + 46 362 + 38 653 + 47

Week 1 Autumn 1 PSR

Recall multiplication and division

facts for multiplication tables, for 2, 5,

10, 3, 4, 8, 6 and 9 times tables.

Week 3; 9 (S); 10 (S)

Autumn 1 Arithmetic

Autumn 1 PSR

Begin to recognise and

show families of common

equivalent fractions.

Week 6 Autumn 2 PSR

Solve simple measures problems and

convert between different units of

measure – mm, cm, m; ml, l; g, kg.

Example: 0.7L = rml

Write 1250g in kilograms.

Week 4; 8

Autumn 1 & 2 PSR

Use mathematical reasoning

to answer a question

by collecting, displaying

and interpreting data in

a frequency table and

bar chart, choosing an

appropriate scale.

Week 8 Autumn 2 PSR

Begin to place 4-digit

numbers on number lines

and round these to the

nearest 10, 100 or 1000.

Example: 4782 rounds to 4780,

4800, 5000

Week 2; 9

Autumn 2 PSR

Use place value and

number facts to add

numbers with up to 4

digits, including fluency

in adding any pair of

2-digit numbers.

Example:

147 + 36 4286 + 199

Week 1; 2; 5; 7

Autumn 1 PSR

Use table facts and commutativity

to perform multiplications involving

multiples of 10.

Example: 40 × 6 300 × 8

Week 3 Autumn 2 Arithmetic

Find the effect of dividing

a 1-digit or 2-digit number

by 10, and recognise that the

first place after the decimal

point is a tenth.

Example: 5 ÷ 10 = 5/10 = 0.5

36 ÷ 10 = 36 /10 = 3.6

24 ÷ 10 = 24/10 = 2.4

Week 7 Autumn 2 PSR

Read, write and convert time between

analogue and digital 12-hour clocks.

Example: 6:05 = five minutes past six

Week 4 Autumn 1 PSR

Use column addition to

add 3-digit numbers;

begin to add 4-digit

numbers.

Week 5; 7

Autumn 1 & 2 Arithmetic

Autumn 1 PSR

Use the distributive law to multiply

2-digit numbers by a 1-digit number

using formal written layout or mental

methods.

Example: 4 × 65 94 × 7

Week 3 Autumn 1 Arithmetic

Find unit fractions of

amounts.

Example: 1/4 of 24 1/3 of 30 1/8 of 32

Week 3 Autumn 1 PSR

Solve problems involving converting

between units of time, from hours to

minutes; minutes to seconds; years to

months; weeks to days.

Example: 1 minute 23 seconds = 83 seconds

231 minutes = 3 hours 51 minutes

Week 4 Autumn 1 PSR

Use counting up to

subtract numbers with up

to 3 digits crossing one

multiple of 100.

Example: 134 − 88 534 − 488

809 – 742

Week 1; 2; 9

Autumn 1 PSR

Begin to use place value and known

and derived facts to divide numbers

above tables facts.

Example: 56 ÷ 4 58 ÷ 4 176 ÷ 8

Week 10 Autumn 2 Arithmetic

Autumn 2 PSR

Count in fractions, expressing

each fraction in its simplest

form.

Week 6

Read scales to the nearest 100 g

and draw a bar chart where one step

represents 100.

Week 4

Choose a method

to subtract that is

appropriate to the

numbers in the

calculation.

Example: 456 − 199

134 − 88 134 – 6

Week 2; 7; 9

Double and halve 3-digit numbers using

partitioning and be able to describe,

explain and predict patterns.

Example: Halve 684.

Write a doubles chain past 1000 and

write about the pattern in the units digits.

Week 6 Autumn 2 PSR

Recognise and write

decimal and fraction

equivalents of tenths and

a 1/2.

Week 7 Autumn 2 PSR

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See free samples and register for a demo

Take a look at the free samples online and register for a free Abacus demo in your school at

www.pearsonprimary.co.uk/ abacusdemo