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Inspire confidence and a love of maths - and help every child master the national curriculum

e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

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Page 1: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

Inspire confidence and

a love of maths -

and help every child

master the national

curriculum

Page 2: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

Abacus 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.

✔ 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.

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

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

✔ A flexible toolkit for Reception through to Year 6 that puts you in control of your maths teaching.

Freedom when you want it. Structure where you choose it.

+

3

Written for the 2014

primary curriculum in

England by Ruth

Merttens, Jennie Kerwin

and Hilda Merttens

Page 3: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

75%Over of teachers report that

Abacus contributes very significantly or

significantly to children’s attainment,

progress according to their age,

and confidence in maths.*

At a glance...Abacus is made up of...

An online teacher toolkitA flexible toolkit for Reception through to Year 6, which is already providing over 50,000 teachers with a huge variety of plans, assessment tools and activities.

Professional Development and ongoing support

To help you develop confidence in using Abacus, understand the essentials, and get the most out of your resources.

Textbooks and workbooks

Beautifully designed and supportive textbooks and workbooks for independent practice.

An online pupil world

An incredible online world for children to delve into with hundreds of lively and exciting maths games and rewards that your digital-savvy kids will love.

*Survey run by Pearson measuring impact of Abacus on 95 teachers who

have used Abacus for over a year.

+

++

Page 4: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

The Abacus approach

There are 4 key principles at the heart of the Abacus approach:

1. Built on educational best practiceAbacus is written for the 2014 primary national curriculum in England and built on a broad range of evidence and research into what makes outstanding teaching and learning. Importantly, Abacus has been built by a team of expert authors and teaching practitioners who understand the realities of teaching and learning in a UK classroom.

2. We believe teachers make the biggest impactWe believe that teachers are the true experts and research shows that good teaching produces understanding. That’s why we think teachers should be in control and given the freedom to make the right decisions for their children. Abacus has been built as a flexible toolkit that gives you freedom (when you want it) and structure (where you choose it). It puts you firmly in the driving seat so that you can use it in a way that works for you.

3. Understanding is keyResearch tells us that children need to understand the fundamentals of what they’re doing in maths. To ensure children develop a robust understanding and secure foundation in maths, Abacus follows a “four pillar” approach:

1. Children need to have an appreciation of our number system and strong grasp of place value

2. Children need a really good bank of number facts

3. Children need an exposure to consistent and developmental models and images

4. Children need a comprehension of the key mathematical functions based on doubling and halving.

101

100

2x39+1

0123 2+28÷2

85%Over of teachers report that

Abacus contributes very significantly

or significantly to delivering better

maths lessons and building

confidence in teaching maths

for all teachers.*

*Survey run by Pearson measuring impact of Abacus on 93 teachers who have used Abacus for over a year.

Page 5: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

=

3

4. Progression for all childrenTo ensure all children master the curriculum, we’ve built Abacus on a robust skills progression that outlines what skills children need to acquire and when. We’ve also built prerequisites for learning into every piece of Abacus teaching, which means that if children struggle with specific concepts we give suggestions of the mathematical building blocks which might be impeding their understanding. This means you can support all children to access Age Related Expectations.

Consistency of models and imagesConsistency of models and images is key to developing depth of understanding. Abacus contains a developmental approach to models and images and pedagogic speech to ensure a consistent approach to teaching maths.

Bank of memorised number factsAbacus is structured around a spiral curriculum to ensure children revise and practise what they have learnt throughout the year. In Abacus, we take retention of number facts seriously, which is why it includes hundreds of activities for keeping number facts on the boil.

Rehearsing key maths skillsAbacus has been built on a robust skills progression so that prior knowledge is constantly built on, reinforced and embedded.

Practice is keyWe know that practice is key, and we know that we need more than paper and pencil practice for today’s children. In Abacus, we provide hundreds of varied practice activities and opportunities for children to embed their learning.

Keeping the class togetherTo ensure mastery of skills, children need to keep-up not catch-up. Abacus has a clever built-in prerequisites tool that allows you to access prior teaching and activities on previous core skills to ensure that children don’t miss out on key learning.

How does Abacus ensure mastery of skills?

Page 6: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

What’s in Abacus for teachers?

✔ REC✔ REC ✔ KS1✔ KS1 ✔ KS2✔ KS2

Plan

Planning and curriculum support to

help you ensure all children meet

Age Related Expectations.

Online resource finder gives you quick

access to teaching resources for all

children.

Editable daily, weekly and medium

term plans and planning ideas for

you to use in a way that works for

you, including planning support for

mixed-age classes.

✔ REC ✔ KS1 ✔ KS2

✔ REC✔ REC ✔ KS1✔ KS1 ✔ KS2✔ KS2

Teach

Editable teaching tools for you to use with the whole class that provide a consistent and developmental set of models and images.

Over 1000 unique interactive screens tailored to the Abacus lessons to engage children in mathematical concepts.

‘Carpet maths’ and whole-class activities for Reception covering all your Early Years maths goals.

✔ REC

NEW

Page 7: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

You’ve got everything here to inspire a genuine love of maths because Abacus is founded on a commitment to securing conceptual understanding, building numerical fluency, developing problem-solving skills and buffing mathematical confidence.

John Dabell, Primary Teacher and trained Ofsted Inspector

✔ REC

✔ KS1 ✔ KS2

Resource Sheet © Pearson Education 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

Guide & Intervene

Guided activities with supporting

worksheets and assessment questions

to help diagnose potential problems

and inform on-going short-term assessment.

Child-initiated and adult-led activities

with observation sheets to help you

record how children are doing against

key outcomes.

✔ REC

✔ KS1✔ KS1

✔ KS1

✔ KS2✔ KS2

✔ KS2✔ KS2

Year 4 Autumn Maths Progression Map Child’s name:________________________________________________Number and Place

ValueAddition and Subtraction Multiplication and Division Fractions, Decimals,

Ratio and Percentages Measures Geometry StatisticsRecognise 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 PSRBegin 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

NEW NEWNEW

Assess Mastery

Interactive activities and end-of-week quizzes to support ongoing formative assessment.

Progression maps to help you identify key assessment outcomes for each term.

Half-termly assessment tests and assessment guides to help you report where children are against Age Related Expectations.

Assessment and reporting tool to help you report on how children are faring against Age Related Expectations.

NEW

Page 8: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

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

“”

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

✔ REC✔ REC

✔ KS1

✔ KS1✔ KS1

✔ KS2

✔ KS2✔ KS2

NEW

Strengthen and Extend

Prerequisites for learning built into all

lessons to help you support children

with accessing Age Related Expectations.

Whole-class problem solving investigations each week support

mathematical reasoning and logical

thinking.

Links to NRICH activities for developing a deep understanding

and providing further extension.

✔ REC ✔ KS1 ✔ KS2

✔ REC ✔ KS1 ✔ KS2

✔ REC ✔ KS1 ✔ KS2

✔ REC ✔ KS1 ✔ KS2

NEW

Getting

Started

Guide

3

=

5

Continual Professional Development

Calculation policy and videos to support a whole-school approach to calculation.

Full day Professional Development course to help you get to grips with your resources and make the most of your investment.

Refresher Professional Development courses that can be tailored to your needs - designed as a follow-up to initial PD course, or for getting new staff up to speed.

Getting started, planning and classroom support available through “MyAbacus”.

Page 9: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

To help you build a complete and well-rounded picture of a child’s progress and attainment, Abacus supports you in gathering evidence, forming formative assessments and making summative judgements. These three things together help you to create a robust view of children’s performance against Age Related Expectations.

Assessment in Abacus

SUmmative Evidence

FormativeTools and activities to support

formative assessment, including

guided activities to diagnose

potential problems and

assessment questions to

gauge understanding.

Take a tour of the assessment in Abacus at www.pearsonprimary.co.uk/abacusassessment

Maths practice games, graded practice activities, textbooks and workbooks help you build an understanding of how a child is doing.

“Progress and Assess”

reporting tools to help

you report on how children

are faring against

Age Related Expectations.

Assessment tests and

guidance to support your

summative judgements.

ProgressionMap

Underpins all assessment in Abacus - based on a deep understanding of how children’s learning develops and what Age Related Expectations are.

Page 10: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

What’s in Abacus for children?

✔ KS1✔ KS1

✔ KS1✔ KS2

✔ KS2

✔ KS2

✔ REC

✔ REC ✔ KS1 ✔ KS2

Resource Sheet © Pearson Education Ltd 2013

Resource Sheet 148

Estimating and measuring length

Item Estimate Measurement

✔ KS1

Homework videos and worksheets for

children (and parents!) that explain

how to approach a particular maths

concept.

Interactive problem-solving activities

with BBC videos for playing together

in the classroom.

Interactive activities for developing

speaking and listening skills and

encouraging mathematical conversation.

Structured play and supported tasks for practising skills learnt in the lesson in the context of play - for use independently or with the support of an adult.

Practical, small-group activities for

reinforcing classroom learning.

Learn and Master: Make sense (conceptual understanding)

80%Over of teachers report that

Abacus contributes very significantly

or significantly to children’s

engagement, enjoyment and

fluency in the fundamentals

of maths.*

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

Page 11: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

✔ KS1 ✔ KS2

✔ KS1 ✔ KS2✔ KS2

✔ REC ✔ KS1

T 0845 630 33 33F 0845 630 77 77

[email protected]

A LWAY S L E A R N I NG

Year 4 Textb

oo

k 1

1

Year 4Textbook 1

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Part of the Abacus toolkit, the textbooks provide:• the perfect balance of practice and problem solving for each area of maths• pictorial representations to support children’s conceptual understanding• clearly laid out questions with instructions that are easy to follow• a self-assessment opportunity on every page• colour to indicate the different maths areas within the programme.

Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Merttens

Freedom when you want it,structure where you choose it.

Textbook1_Year4_Cover.indd 1

02/05/2013 10:26

Series Editor: Ruth MerttensAuthor Team: Jennie Kerwin and Hilda MerttensPublished by Pearson Education Limited, Edinburgh Gate, Harlow, Essex, CM20 2JE. www.pearsonschools.co.uk

Text © Pearson Education Limited 2013Typeset by Debbie Oatley @ room9designOriginal illustrations © Pearson Education Limited 2013 Illustrated by Phil Corbett, Andrew Painter, Matt BuckleyCover design by Pearson Education Limited Cover photo/illustration by Volker Beisler © Pearson Education Limited

First published 201316 15 14 13 10 9 8 7 6 5 4 3 2 1British Library Cataloguing in Publication DataA catalogue record for this book is available from the British Library

ISBN 9781408278239

Copyright noticeAll rights reserved. No part of this publication may be reproduced in any form or by any means (including photocopying or storing it in any medium by electronic means and whether or not transiently or incidentally to some other use of this publication) without the written permission of the copyright owner, except in accordance with the provisions of the Copyright, Designs and Patents Act 1988 or under the terms of a licence issued by the Copyright Licensing Agency, Saffron House, 6–10 Kirby Street, London EC1N 8TS (www.cla.co.uk). Applications for the copyright owner’s written permission should be addressed to the publisher.

Printed in Malaysia

Abacus is a unique maths toolkit for inspiring a love of maths and ensuring progression for every child. Written by an expert author team, it has been carefully crafted on a robust approach to creating inspired and confi dent young mathematicians.

Part of the Abacus toolkit, the workbooks provide:• easy instructions for a teacher to explain to children• an ‘Action’ to make the activity more practical• a ‘Think’ to provide an extra challenge• a self-assessment opportunity on every page• colour to indicate the different maths areas within the programme.

Series Editor: Ruth Merttens Authors: Jennie Kerwin and Hilda Merttens

Freedom when you want it,structure where you choose it. Year 1

Workbook 1

T 0845 630 33 33F 0845 630 77 77

[email protected]

A LWAY S L E A R N I NG

Workbook1_Year1_Cover.indd 1

02/05/2013 10:37

✔ KS1

✔ KS1 ✔ KS2

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

PowerPoint activities with carefully graded questions for the whole class.

Carefully crafted textbooks for independent practice, including a self-assessment opportunity on every page.

Fluency fitness activities for reinforcing key maths skills outside the lesson - great for having up on the Interactive Whiteboard when children arrive in the morning.

Beautifully designed workbooks for independent practice.

Interactive Quick Maths activities for keeping maths skills on the boil.

Practical “five-minute-filler” activities for use outside the lesson, such as when children are lining up for lunch.

Learn and Master: Practise (procedural fluency)

✔ Yr2 ✔ KS2

Page 12: e confidence and a love of maths - and help every child ... · Abacus is a unique maths toolkit that’s carefully crafted to help you inspire a genuine love of maths and help every

Become an Abacus member

✔ Affordable annual subscriptions tailored to your school

(so the price you pay is fair)

✔ Get access to the online teacher toolkit and pupil world

✔ We will help get you up and running

✔ Abacus Professional Development will help you ensure you’re

getting the most out of your investment and your new resources.

To see how much Abacus will cost for your school, visit

www.pearsonprimary.co.uk/abacusprices

Next steps

Visit www.pearsonprimary.co.uk/abacusfindoutmore

to try free Abacus samples online and to find out

more.

Visit www.pearsonprimary.co.uk/abacusfreedemo to

register for a free demo in your school or to have a

chat with your local consultant.

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