Busy Ant Maths Course Guide by Collins

‘ ONE OF THE BEST WHOLE-SCHOOL G PROGRAMMES AVAILABLE FOR HELPIN CHILDREN DEVELOP MATHEMATICAL MASTERY AND FLUENCY.’ Teach Primary

BUSY ANT MATHS SUPPORTS THE 2019 OFSTED FRAMEWORK CO LL IN S .C O .U K/ BU S YA NT M AT HS

A T R O P P U S N A C S H T A M HOW BUSY ANT L O O H C S R U O Y N I H C A MASTERY APPRO In October 2014 the National Centre for Excellence in the Teaching of Mathematics (NCETM) published ‘Mastery approaches to mathematics and the new national curriculum’.

‘ ENGAGING... ACCESSIBLE...POWERFUL’ Teach Primary

In this document they helpfully outlined 5 principles and features that characterise a mastery approach. Find out how these characteristics are embedded throughout the entire Busy Ant Maths scheme!

atures that NCETM’s ‘principles and fe proach’ ap ry te as m a se ri te ac ar ch Teachers reinforce an expectation that all pupils are capable of achieving high standards in mathematics. T he large majority of pupils progress through the curriculum content at the same pace. Differentiation is achieved by emphasising deep knowledge and through individual support and intervention.

Busy Ant Maths A philosophy of equal opportunity means that Busy Ant Maths has been designed and written with the assumption that pupils are taught the same mathematics domain (topic), and the same National Curriculum Attainment Target (objective). See page 4 for the Activity and Pupil Books. Although there is no differentiation in content taught, the questioning and scaffolding individual pupils receive does differ. ‘Lower attainers’ focus on developing deep understanding and secure fluency with facts and procedures, while ‘higher attainers’ are challenged through more demanding problems. See page 9 for the Progress Guides and Stretch & Challenge.

es that ur at fe d an s le p ci n ri ‘p ’s M NCET proach’ characterise a mastery ap design methodical curriculum by d ne in rp de un is urces Teaching ted lessons and reso af cr lly fu re ca by d te and suppor ocedural knowledge. pr d an al tu ep nc co to foster deep

Practice and consolidation play a central role. Carefully designed variation within this builds fluency and understanding of underlying mathematical concepts in tandem. ning in class to test Teachers use precise questio s knowledge, and assess pupil conceptual and procedural at requiring intervention so th regularly to identify those all pupils keep up

Visit collins.co.uk/BusyAntMastery for more information.

Busy Ant Maths An emphasis is given in Key Stage 1 and Lower Key Stage 2 to the knowledge and skills pupils need to achieve the level of mastery and fluency in number that is expected in the Programme of Study. Using the online Planning Tool via Collins Connect, the Medium-term plans can be easily adapted to meet the specific needs of individual classrooms. See page 5 for the Teacher’s Guides and page 6 for Collins Connect.

Practice and consolidation in every lesson consists of both written exercises and practical hands-on activities, and includes individual, paired and group tasks. As well as four specific detailed lesson plans, each week Busy Ant Maths provides a bank of four ‘Learning activities’ that teachers can offer pupils to further practise and consolidate their understanding. See page 5 for the Teacher’s Guides. Progress Check Questions assist teachers in checking pupils’ understanding of the lesson objective(s). The Assessment Guides and Test Packs give you the support to assess pupils’ mastery of specific targets and the programme of study for each year group. See page 8 for the Assessment Guides and Test Packs.

“ Busy Ant Maths has helped my class to think more for themselves when they are working on problem solving. They are more successful in completing their main activity and their extension work.”

H G I H E V E I H C A N A C S L I ALL PUP S C I T A M E H T A M N I S D R A D STAN

Louise Cain, Year 3 Teacher, Richmond Avenue Primary School

ACTIVITY AND PUPIL BOOKS Unit 8, Week 1, Lesson 2

Multiplication HTO x O usin g partitioning and the grid method

Pupils of all abilities work on the same mathematics domain

×O Use the grid metho d to calcula te HTO

Challenge

these numbers Write the multiples of 100 that each of is closest to. is between. Circle the multiple of 100 it a

476

Three levels of differentiated challenge ensure rapid progression

675

486

598

477

One of these calculations is different to the others. Can you ﬁnd out why?

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Example

600 x 8 = 4800

625 x 8

X 600 20 5 8 4800 160 40 = 5000

759

400

216

585

374

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832

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Examples, models and images clearly illustrate mathematical concepts

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Y B D E N N I P R E D N U G N I H C A E T CTS FLUENCY IN NUMBER AFA S N O S S E L D E T F R C Y CAREFULL TEACHER’S GUIDES

Year 3, Unit 12, Week 2, Lesson 2

Div isio n TO ÷ O: Usin g the exp and ed wri tten met hod

Nationa l curricul um attainm ent target

• Use the expanded written method to calculate TO ÷ O • Estimate and check the answer to a calculation

• recall all the multiplication and division facts for the 2, 3, 4, 5, 8 and 10 multiplication tables • understand the effect of multiplying and dividing a number by 10 • subtract using the formal written method of column subtraction Vocabulary multiple, key fact, divide, division, divisor, divisible by, estimate, partition, tens, ones (units)

Pupils can: • make a reasonable estimate for the answer to a calculatio n • partition two-digit numbers into tens and ones • divide a multiple of 10 by a one-digit number • use the expanded written method to calculate division of TO ÷ O

Individ ualised Learnin g

Getting Starte d

Refer to Activity 1, 2, 3 and 4 from the Learning activities on pages 456–457

• Choose an activity from Number – Multiplication and division. • Choose an activity from Fluency in Number Facts: Y3/Y4 – Multiplication and division. The word “ones” has been used throughout this lesson when referring to the least signiﬁcant digit. However children also need to be familiar with the word “units”.

All teaching is whole-class, keeping all children together

Teach

3 2 0 20 × 4 2 2 3×4 0

• Say and record the working: Is it possible to make 10 groups of four? (yes, 4 × possible to make 20 groups 10 = 40) Is it of 4? (yes) Is it possible to make 30 groups of 4? (no) started with 92, we subtract Say: We the 20 groups of four, which makes 80. Ask: How many (12) Ask: How many times are left? can 4 be divided into 12? (3) Say: We subtract 12 from many are left? (0) 12. Ask: How • Say: We can check our answer by using the inverse of division, multiplied by 4? (92) multiplication. Ask: What is 23 • Compare the answer with the estimate. • Repeat with other numbers using multiples of 2, 3, 4, 5 and 8 where it is possible or 30 times the divisor, e.g. to make 10, 20 65 ÷ 5; 45 ÷ 3; 56 ÷ 4; 96 ÷ 8; 78 ÷ 3; 54 ÷ 2. • For various questions ask the children: What is the approximate answer? How it out? did you work • Ask children to explain to their partner how they would work out the answer to given calculations. division

Future related lessons Unit 12, Week 2, Lesson 3; Unit 12, Week 2, Lesson 4 Success criteria

Unit 12, Week 2, Lesson 1 Prerequisites for learning Pupils need to:

Progressive, step-by-step programmes designed to ensure key concepts are reviewed and practised regularly.

2 4 9 8 1 1

Lesson objectives

• Write and calculate mathema tical statements for division using the multiplication tables that they know, using mental and progressing to formal written methods Previous related lesson

Unit 12: Number - Multiplicatio n and division • Demonstrate on the board how to use the expanded written method of division 92 ÷ 4. to calculate

Plenary

Year 3, Unit 12,

Week 2 • Begin by counting in multiples of 4. Continue by counting in multiples Write the multiples of 4 on the board. of 40. Write these under the multiples of 4 on the board. 4 8 12 16 20 24 28 32 36 40 40 80 120 160 200 240 280 320 360 400 • Ask: How many fours are there in 8? (2) How many fours are there in 80? (20) other examples. Continue with • Write on the whiteboard: 92 ÷ 4 =. Ask: How many fours are there in 92? • Say: Explain to your partner how you would work out the answer to this calculatio • Ask pairs to share their explanatio n. ns with the class. • Say: Today we are going to learn a written method of recording the answer to calculations. This method division is called the expanded written method and is useful when dividing using larger numbers. we are • Say: We can work out what the approximate answer would be by seeing how many groups ten times four can be made. of • Say: Can 10 groups of 4 be made from 92? (yes) Can 20 groups of 4 be made from Can 30 groups of 4 be made 92? (yes). from 92? (no) Ask: Is 92 closer to 80 or 120? (80) • Say: So the answer will be approximately 20.

Pupil Book 3C – Page 45: Division using the expanded . written method

Resources mini whiteboard, pen and

eraser (per child)

• Reinforce the expanded written method of division taught in the lesson. Write TO ÷ O calculations on the various board and ask children to write the approximate answer whiteboard, e.g. 72 ÷ 3 (24); on their mini 34 ÷ 2 (17); 68 ÷ 4 (17). Display when indicated. • Ask: How did you work out the approximate answer? • Choose one of the calculatio ns for children to ﬁnd the answer. • Say: Explain to your partner how you would work out the answer to this question expanded method of division using the on your mini whiteboard. • Ask: Can you explain your method of working out the answer to the class? • Repeat with other examples .

Overco ming Barrier s

• Children who do not have instant recall of the multiplica tion facts will find division multiplication and division difficult. Ensure children can through finding the answer also relate to missing number problems e.g. 5 × ■ = 35. in multiplication number sentences ,

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The overcoming barriers section will help you to ascertain where any misunderstandings may have occurred, and suggest ways to deal with any confusions the pupils have.

Keep track of your pupils’ understanding throughout the lesson with helpful progress check questions.

S D E E N C I F I C E P S E H MEET T OF YOUR CLASSROOM

Supports assessment with an easy-to-use online Record-Keeping Tool. Simply drag-and-drop pupils using the traffic-light system.

Collins Connect is an innovative online learning platform that you can use as a front-of-class teaching tool. Everything you need to teach a week of maths in each unit.

The medium-term plans can be adapted using the online Planning Tool.

Flexible tools and teaching slides allow you to use the representations that are most appropriate for your pupils.

Maths games can be played at different levels, timed or untimed, to develop mathematical fluency.

REGULARLY ASSESS CONCEPTUAL AND PROCEDURAL KNOWLEDGE

The Busy Ant Maths programme has

assessment at the heart and from the book Maths Antpractice Busy best Your start, embedding across school. with exciting isthe packed activities to help build and develop the skills you need to be successful in maths.

Written by an expert author team with over 50 years’ combined classroom experience, Busy Ant Maths is a flexible, whole-school mathematics programme that ensures conceptual understanding and mathematical fluency from the start. This Test Pack offers you a simple and robust way of assessing and capturing pupils’ progress.

PupilPack Book 6A Test Pupil Book 6A

Teacher guidance Includes instructions for administering papers, detailed marking guidance, and marking schemes for each paper.

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INDIVIDUAL SUPPORT AND INTERVENTION

k You r Bus y Ant Ma ths boo is pac ked wit h exc itin g d act ivit ies to hel p bui ld an to d nee you lls dev elo p the ski be suc ces sfu l in ma ths .

Busy Ant Maths Stretch and Challenge supports the classroom teacher in delivering structured guidance and support for gifted children who are exceeding age-related expectations in mathematics. Busy Ant Maths is a flexible, whole-school mathematics programme that ensures conceptual understanding and mathematical fluency from the start.

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Enriching Maths Resource Pack Y1 -6 AW ( Sarah Thomas)..indd 5

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PETER CLARKE SERIES EDITOR

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Proble m-solvin activit g and ies cross-cur ricular Promo te learnin independent g and encour thinking and apply the age chi and skil ir mathematica ldren to ls across l knowle the cur riculum dge

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These provide support and extension activities to raise pupil attainment and ensure rapid progression for children who need extra practice to gain mastery of lesson objectives.

Guidance and sup port Enrich chi unders ldren’s mathe tandin matica g and l further set the challen m ges wit teache h easy-t r’s notes o-u

Complete suite of digital resources available on

Built-in assessment Evaluate children’s learning and identify the next steps for progression with detailed assessment guidance

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ort and supp Guidance ematical ren’s math Enrich child set them se ding and easy-to-u understan lenges with further chal s note teacher’s

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P upil Book 6A and Challenge 5

Stretch an d Guidance and support Enrich children’s mathematical understanding and set them further challenges with easy-to-use teacher’s notes

ge and Cha llen ver ing hs Str etc h deli Bus y Ant Mat clas sroo m tea che r in gift ed for sup por ts theguid anc e and sup por t d late d str uct ure are exc eed ing age -re chil dre n who in ma the ma tics . exp ect atio ns

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Book 6A Pupil Stretch

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Challenge Pupil Book 6A

Stretch and Yo u r B u sy A is p a ck ed w n t M a th s b oo k it h ex ci ti n g a ct iv Ch allen gdeevelopit ieths etoskhilelp b uil d a n d ls yo u n b e su cc es sf u l in m a th ee d to s. Problem-solving and cross-curricular activities Promote independent thinking and learning and encourage children to apply their mathematical knowledge and skills across the curriculum

Enric hing math emat ical unde rsta ndin g

22/07/2015 10:32

PE TE R CL SE RI ES ED AR KE IT OR

22/06/2016

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STRETCH AND CHALLENGE Challenge your more able pupils with resources for each year designed to broaden and deepen their mathematical understanding. • • Self-contained activity booklets (issues) promote independent thinking and develop children’s problem-solving skills. • • Accompanying teacher’s notes for each issue provide guidance, support and next steps.

22/07/20

15 10:3 2

Has she paired equivalent fractions, decimals and percentages?

40%

D E H N T R A O F E C G I T C A N R I P L V A E D L I M SO ATS REASONING PAPESRS S U PIL B OO K I NG P ARS 1-6

0·125

Explain your reasoning.

For each pair of cards, write the missing equivalent fraction, decimal or percentage.

1 20

1 8 0·5

Think about …

Use equivalent fractions, decimals and percentages

0·25 20% 0·4

Think about how equivalent fractions equivalent decimals and percentages.

equivalent fractions, decimals and percentages that you don’t know.

e value

W ho ge ts what? Pupils investigate, explore and

I D E AL PROBLEM SOLVING AND REASONING P R A C T I C E PUPIL FO R T H E S skills : You will need • • Develop mathematical problem solving and thinking AT S R E • • Reason and communicate mathematically A SO NI N G PA P E Rproblems S! • • Use and apply mathematics to solve real-world What if ?

Solvin g l mathematica prob lem s

Look at all the fractions, decimals and percentages above. Order all the fractions, from smallest to greatest.

BOOKS

Round decimals with 2 decimal places to the

bers.

–9 digit

• set of 1 cards

Round decimals with 3 decimal places to the nearest hundredth and tenth. Arrange the percentages into two groups: those less than 50% and those 50% or more.

usand.

When you’ve

to page 80.

Challen ge

This pie chart shows who ge Prompting questions provide both ts the money wh en you buy an assisting of means a springboard and a item of clothing pr od uc ed in pupils in accessing and working through the challenge. In

vestigate how much each gr oup in the pie char t gets of the money you pay for an item of clothing . the average wa Extension or variation challenIfges ge in develop about ing untries is abou allow pupils to think more deeply co t £5 per week , how many ite the challenge to further develop their ms of your clo thing would a facto thinking skills. ry worker have to make to earn this amount?

Think about …

BLEM LS

at ke sure th t if?’, ma cards to the ‘Wha it ig d r u e fo ls ou use th st three decima lea s), eate at ce (tenth la p l a ecim with 1 d s), and undredth places (h

What if ?

Using and applyin g mathematic s in real-world contexts

You will need:

• prices for dif thinking to so logical feren Pupils use t items of cloth s,ingfocusing on making conj

factory workers 1%

problem ations, and explaining and jus appropriate languag

generalis m aterials ons using conclusi an d facto ry trans

port Pupils 11% engage in challenges that re to use and apply their mathematical open-ended, real-world and branskills in

shop 50%

d name 25%

Choose at lea st three or four items of clothing, including shoe s.

Prompting questions provide both a springboard and a means of assisting pupils in accessing and working through the challenge.

A worker in a developing co untry who m a shop in the akes a pair of of questionsUK is paid about 37 set and Offers a structure jeans that are p. sold for £37 in If yo u were paid this intended to provide pupils with an opportunity am ount to make ha ve to a pair of jeans make to pay to share their results, discuss their methods, , for: how many pa irs would you • a burger an strategies and mathematical reasoning. d chips? • a ticket to the cinema? • a compute When y Think about ot r game? ou’ve her things yo u spend mon many pairs of ey on and how jeans you wo to uld have to m page 80 ake in order to .

1000. 100 and by 10. th d undre

I D E!

If necessary, round the pri ces for your item s of clothing to the nearest po und.

Prompts support pupils in working through challenges.

S TO MS

mber number d whole and th, tenth

apply their mathematical knowledge and skills to solve problems ‘within’ mathematics itself.

Extension or variation challenges to further develop reasoning skills.

When you’ve to page 80.

8 10:44

02/02/201

60514_P001_0

80.indb 61

Extension or variation challenges 61 allow pupils to think more deeply about p their the challenge to further develoBuild pupils’ understanding thinking skills.

Sample page from Busy Ant Maths: Year 6 Problem Solving and Reasoning Pupil Book

after every challenge with a set of discussion questions.

Pupils inv apply their and skills to mathematics

HOW IS BUSY ANT MATHS STRUCTURED? COMPONENT / YEAR LEVEL

Foundation

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Busy Ant Maths is also available in Euro editions, to find out more go to collins.co.uk/BusyAntMaths

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Fluency in Times Tables

9780008386412

£165.00

Stretch and Challenge Connect Pack, Year 1 – Year 6

9780008196905

£450.00 + VAT

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Foundation Activity Book

9780008124649

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Year 3 Pupil Book 3A

9780007562374

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Foundation Homework Guide

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9780007562381

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Year 3 Assessment Guide

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1 year subscription to Collins Connect – Year 1

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Year 3 Stretch and Challenge

9780008167325

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9780008167349

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9780007568192

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9780008260569

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9780008260507

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Year 1 Activity Book 1B

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Year 4 Teacher’s Guide

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Year 1 Progress Guide

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Year 1 Assessment Guide

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9780007568369

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9780008167363

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