Mathematics support for Reception to Year 12 1212 2018 TERM 3 Newsletter

2018 MASA 4 August Saturday Morning Problem Solving - register here Executive & (week 2) Committee

9 August MASA Executive Meeting 5pm / MASA Office PRESIDENT (week 3) David Shigrov

10 August Due date JSMEP/SAMTQ Entries delivery to MASA Office PRESIDENT ELECT & (week 3) AAMT Council Rebecca Garrett 11 Aug Jim Potter SACE Stage 2 Methods PD 9am-11.30, Parish Meeting Room Trinity College Senior (week 3) Adjacent MASA Office, 80 Payneham Road, Stepney Register here VICE PRESIDENT 15 August MASA Quiz Night – in schools State-wide David Andrew (week 4) MASA

19 Aug JSMEP/SAMTQ State judging at MASA TREASURER (week 4) Marion Gaertner MASA 6 Sept MASA Committee and Exec Meeting 5pm Parish Meeting Room Finance iQ (week 7) SECRETARY Irene Kiroff 6 Sept NMTQ Judging at MAV - Melbourne MASA (week 7) EXECUTIVE OFFICER 15 Sept Saturday Morning Problem Solving – register here Carol Moule (Week 8) MASA

22 Sept Having Fun with Data F-3 PD with Desiree Gilbert 9am-noon PUBLIC OFFICER (week 9) , 28 Rose Terrace, Wayville Register here Keith Hamann MASA

28 Sep End of Term 3 COMMITTEE (week 10) Amie Albrecht 18 Oct NMTQ Presentation in Melbourne Michael Bammann (Term 4 week 1) David Billett Neil Davis 22 Oct JSMEP/SAMTQ Presentation Night EDC - Hindmarsh Vanessa Fay (Term 4 Tom Frossinakis week 2) Jacqueline Hiscock

Jo Kellaway 27 Oct Saturday Morning Problem Solving – register here Sharon Kennare (Term 4 Week 2) Christopher Pappas Maryanne Rischmueller 30 Nov MASA & SASTA STEM 2018 at venue to be announced Geoff Tinagli Term 4 Save the Date Week 7 Please consider presenting a STEM(*maths*) workshop Click here to submit your abstract

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Index to Term 2 Newsletter

Calendar (Front Page) Page 1

Index Page 2

Professional Development opportunities: • Jim Potter SACE Stage 2 Methods Page 3 • Desiree Gilbert F-2 Maths Page 3

Student Activities: • Saturday Morning Problem Solving Page4 • Quiz night Page 4 • Education Findings article link Page 4 • JSMEP & SAMTQ Page 5 • Engineer school visits Page 6

• Geoff Phillips free teacher resources Page 6 & 7

Publications • Year 12 Conference Proceedings Page 8 • 2018 Revision Guides Page 8 • Dual-Oh! Page 8 • Trial Exams Page 8 • Back to Front Page 8 • Think Square Page 9 & 10

Notices • Revision Guide Information Page 11 • Alan Finkel Speech Page 11 • Education Perfect offer and results Page 12 & 13 • Maths Pathway education findings article Page 14 • Problem Corner Page 15 • MASA Membership Info and Member Lucky draw winner Page 16 & 17 • Credit Union current promotion Page 17 • Thank you to our Annual Conference sponsors Page 18

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Book now for Jim Potter PD (Term 3 week 3) TEACHING PLANS FOR MATHEMATICAL METHODS Year 12 SACE Stage 2 Mathematical Methods

Presenter: Jim Potter

Date: Saturday 11th August, 2018 - 9.00am to 11.30am Venue: MASA / Parish Meeting Room 80 Payneham Road, Stepney Cost $ 40 per head

Workshop Description: Past exam questions have a value that goes far beyond student revision and ready-made test questions. With a little preparation they can successfully be incorporated into teaching plans and strategies for many topics. This workshop will concentrate on their use in developing ideas for the teaching of ‘Sampling and Confidence Intervals’

Click here for registration form

Book Now for Desiree Gilbert (Term 3 week 9) HAVING FUN WITH DATA: YEARS F-3

Presenter: Desiree Gilbert, Educational Consultant, AISSA

Date: Saturday 22nd September, 2018 - 9.00 am to 12.00 Venue: Annesley College – 28 Rose Terrace, Wayville Cost $ 40 per head

Workshop Description: Statistics and statistical thinking have become increasingly important in a society that relies more and more on information and demands for evidence… a natural environment for learning statistical thinking is through experiencing the process of collecting data, exploring data and commenting on data.” (AMSI, 2011) In F–3, the focus on data representation and interpretation is on gathering and organising simple information and creating and interpreting simple representations of data. This workshop will engage teachers in practical and enjoyable learning experiences that focus on understanding, problem solving and reasoning and aim to raise awareness of statistical data investigation processes. The learning experiences shared will focus on collaborative and active learning and will also utilise and challenge students understanding and application of number knowledge and understanding.

This workshop will support teachers of Years F-3. Click here for Registration form and Colour flyer . 3

Saturday Maths Problem Solving

Click here to register for Saturday 4th August Click here to register for Saturday 15th September Click here to register for Saturday 27th October

Registrations open at conclusion of previous session

MASA Quiz Night is on Wednesday August 15th.

This is a State-wide quiz night with question and answer packs provided by MASA. It is a great opportunity for positive inter-school fun in your local region.

Entry Form FYI interest only (Click here) Registrations closed end of Term 2

Why not being scared of maths delivers big results

Australian children with Chinese heritage outperform their non-Chinese peers by 2.5 years of schooling. A researcher looks at why.

Dr Mok, a former primary teacher and now education academic, noticed a key difference: Chinese families do not believe that maths ability is innate, but that mathematics is a skill to be mastered. The key is in practice rather than talent. To this end, Chinese families, support this valuable skill area, many by sending their children to coaching colleges where they will receive extra practice opportunities. They have a growth mindset, believing in their ability to learn through applying themselves, and therefore do not fear mathematics.

Follow this link to the full Sydney Morning Herald article by Education writer, Jordan Baker article – (you may encounter a paywall): https://www.smh.com.au/education/why-not-being-scared-of-maths-delivers-big-results- 20180620-p4zmj5.html

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Mathematics Exploration Projects for All Students

The success of the 2017 Junior Secondary Mathematics Enrichment Project (JSMEP) initiative culminated in cash prizes being awarded to eight students at state level, and three South Australian entries winning National Mathematics Talent Quest awards (NMTQ). All entries received a certificate.

This year, as well as JSMEP, there is now an opportunity for all students to enter the South Australian Mathematics Talent Quest (SAMTQ) from years R -7 and 11-12. The Department for Education very generously supports JSMEP (years 8-10), allowing MASA to award cash prizes, while MASA supports SAMTQ with cash prizes in three categories (individual, group and class) at all year levels.

Students are invited to explore any area of interest to them and present their findings in whatever format they wish. They may also enter a project, assignment or folio task done in class. This activity is not necessarily extra for students but is an extension of good teaching practice.

The best of these entries will then be entered into the National Maths Talent Quest organised by the Australian Association of Mathematics Teachers

Key Dates for SAMTQ & JSMEP:

Competition Registration closes Friday 6 July 2018 (register here)

Delivery of entries to MASA Friday 10 August 2018

SA Judging Sunday 19 August 2018

National Judging Wednesday 6 September 2018

National Presentation Thursday 18 October 2018

SA Award Ceremony Monday 22 October 2018

Click here for SAMTQ Primary info and forms Click here for JSMEP info and forms Click here for SAMTQ Senior info and forms

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School visits from engineering professionals! SPE-SA would like to support you in encouraging STEM based learning. Our keen volunteers would appreciate the opportunity to speak to your Year 9 to 12 students about the engineering profession.

To arrange a school visit, please email your contact details to [email protected]

A wealth of energy education resources are also available at www.energy4me.org to assist teachers

Who is SPE? The Society of Petroleum Engineers (SPE) is a not-for-profit, professional organisation with 168,000 members worldwide. The local South Australian Section (SPE-SA) has 500 members and is run by a team of enthusiastic volunteers. SPE’s vision is to enable the sharing of technical knowledge amongst its members, to meet the world’s growing energy needs, in a safe and environmentally responsible manner.

As part of our commitment to the local community, SPE-SA actively supports the promotion of Science, Technology, Engineering and Mathematics (STEM) based learning. We see this as an investment in the next generation of talented students who will become ’s future engineers and leaders. SPE-SA has been an avid supporter of MASA for the past two decades, through sponsorship of the School Mathematics Competition. Over the past 30 years our volunteers have also been actively engaged with the broader community via school visits, organisation of student / teacher workshop and Science Alive!

Geoff Philips, an experienced mathematics teacher and author from , has a huge FREE set of resource materials. Geoff is very kindly making this material available to teachers in SA through his website. After enquiries from several teachers at the recent MASA Annual Conference, in addition to Fifty50 worksheets (see first link below) Geoff has now made available two Polyhedra construction books in pdf format (see second link below).

After clicking on a link, wait for the linked page to load, then right-click the required resource and select "Download" to download. You may also navigate through folders or view files online before downloading by double-clicking several times. The Fifty50 download will be a zip file, in which case you may need to double-click it and drag its contents to a convenient location on your device before opening files. If you have any trouble, please contact Geoff for [email protected]

Fifty50 Mathematics Worksheets and more: https://drive.google.com/open?id=1xzNwg-yBlZsH4B0KOL5KA-v9ddIyrnjn Polyhedra books: https://drive.google.com/open?id=1mQcZrP_Eye9P-88qpsuP2F0Sa4oi5vDJ

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NEW Year 12 Teacher PD Resource

If you missed the 2018 MASA Year 12 Conferences, or you want to recap, or to share the PD with colleagues, we have a wonderful new resource available for you to receive today - Videos of the workshops, PowerPoints from the workshops and files of the printed handouts can all be accessed through a simple link which can be sent to you as soon as you order. View material in the topics that interest you from the comfort of your office or home. For $75 you will receive the complete package for all four Mathematics subjects. Easy to dip in and out, unlimited views or copy and download to use any time. • Click here for the order form

MASA 2018 Revision Guides 2018 Revision Guides are in stock. • Click here for the order form

NEW MASA to Supply DUAL-Oh! Maths Card Games At the Recent MASA Annual Conference we were impressed by the Dual-Oh! Maths card games developed by a West Australian Educational Consultant and MASA has become a supplier. The rules are simple but it is the maths that is increasingly challenging as you move through proficiency from reception to senior school. • Click here for price list

2018 Trial Exams now available Trial Exams help students prepare for their final exams. These resources are delivered in a digital format to enable teachers to set the questions and topics of their choice with professional appearance and formatting. $110 per title with 10% discount for current MASA members. • Publications Order form link (click here)

Back to Front Publications MASA is proud to sell the Back to Front Publications, including the five books in the very popular ‘Fixing Misconceptions’ range. Please go to http://www.masanet.com.au/publications-booklet/ to gain more information on these and our other popular publications.

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Great resources available from MASA!

At the 2018 MASA Annual Conference in April, Victorian classroom teacher and inventor, Andrew Lorimer-Derham was a great keynote whose innovative maths games really excited delegates. MASA stocks a selection of the THINKSQUARE range. For sales contact [email protected]

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1. Orders have now been delivered to schools and as always, we have some copies still available for ordering. Contact the MASA office if required. 2. Individual copies can be bought by students through our website store (this is the link), these will include a charge for postage. 3. NB ERRATA Every year we find a few errors – usually typos that have slipped through – and we invite you to let us know if you find any, so we can bring them to the attention of schools and students. At this stage we do have a couple of minor ones: a. In Methods: • Page 91 #5 (c) should read . The solution omitted the area under the line

y=1 which needed to be subtracted. • Page 57 #5 (a) should have a w where the x is in the inequality.

In July the Chief Scientist, Dr Alan Finkel, addressed the Annual CONASTA conference for science teachers. His comments included many relating directly to mathematics education and I urge you to read the entire speech at https://www.theaustralian.com.au/higher-education/opinion/master-the-foundations-and-rule-a- universe/news-story/b18e1bc23d0885e8932a44d6c8463d03 This is available in various other sites on the internet. Among his comments were “But I also have seen a growing sense of confusion about what we mean when we speak of a “21st-century education”. I say: “Students should be work capable” — and people hear: “We need to teach generic skills like collaboration, instead of content knowledge like chemistry.” I say: “Engage children through real-world problems” — and people hear: “Great, let’s toss out the textbooks.” I say: “Children should develop the passion to learn” — and people hear: “Let’s leave it up to the children to decide what they want to be taught.” I can’t explain why so many well-meaning people associate being a 21st-century worker with knowing less and talking more. But clearly the onus is on me to explain what I do mean and make the case for it.”

Please read the entire article. Any comments or observations welcome!

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Education Perfect Maths Skills Available for free to MASA member schools

Education Perfect is making online lessons on Core Maths Skills freely available for teachers to use with their students until February 2019.

Request complimentary access

• Automated marking and feedback • Self-paced lessons based on the mastery model • Each student works their way through the lessons and is provided with immediate feedback on incorrect answers and clear explanations • Teachers are given detailed data analytics to help identify key areas of weakness on a class and individual student level • The assessment tool allows each student to have a personalised learning pathway based on their strengths and weaknesses • Provide a differentiated learning experience for each student To find out more, click here. Lessons freely available to schools include:

• Addition and Subtraction • Multiplication and Division • Times Tables • + - x / Practice • Order of Operations • Shapes • Time • Rounding Numbers • Fractions • Percentages • Powers • Scientific Notation • Unit Conversion • Associative, Commutative, and Distributive Laws • Basic Algebra • Patterns • Mean, Median, Mode and Range Kind Regards, The Education Perfect Team | Education Perfect | www.educationperfect.com

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Give your Year 7 students the best start possible in secondary maths

The fact that every student has different learning needs, and different pre-existing knowledge of mathematical concepts, is a familiar challenge for maths teachers. That South Australian students have only mastered 60% of the mathematics curriculum up to and including Year 6 when they begin Year 7, makes the challenge to give every student the opportunity to learn even more apparent.

This graph illustrates the diagnosed achievement levels of Year 7 students in SA, when they began using Maths Pathway in 2018:

On top of this teachers are managing the transition of Year 7 students into secondary — with resourcing, professional development, and lesson planning just a few of many considerations— as well as how to give year 7 students the best start possible. With maths at least, there is a solution that can help both teachers manage their resourcing requirements, as well as provide students with the maths that’s right for them.

Maths Pathway's blended Learning and Teaching Model gives all students the opportunity to experience success, with individualised curriculum content, as well as teacher-led lessons and activities. Supported by real time data, professional development and on demand consultancy, teachers can have greater impact in the classroom and make every interaction with their students a valuable one.

Analysis of student learning data from over 35,000 students who used Maths Pathway in 2017 has demonstrated that the learning outcomes for students who learn with the model are markedly improved. In fact, students learning with Maths Pathway learn maths at more than double the rate of students in classrooms that don’t use the model. This has a profound impact on student learning trajectories, with the projected outcomes of students using the model far surpassing their projected outcomes had they continued to learn maths without Maths Pathway. These findings and more can be found in a summary document of the Maths Pathway 2018 Impact Report maths.pw/Impact2018Findings.

Today, more than 50,000 students in over 200 schools are learning with Maths Pathway, and our passionate community of teachers make the model even stronger by sharing their experiences as they implement the model. Maths Pathway is a truly unique solution that is creating measurable impact in classrooms across Australia, and the model includes everything that teachers will need to deliver a complete maths education – easing the transition to Year 7 for maths teachers.

There is no better time than now to begin your students on the pathway towards attaining higher levels of maths by the end of year 10.

Visit mathspathway.com/unlockingpotential to learn more about Maths Pathway’s Learning and Teaching

Model.

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1. Consider the sequence 2, 6, 12, 20, 30, 42, … What is the 2018th term in this sequence?

2. p and q are positive integers with p! + 12 = q 2 Solve for p and q

3. Each angle of the hexagon ABCDEF is 120 degrees. AB = 3, BC = 4, CD = 3 and EF = 1. Find the value of AF + DE.

4. Solve the equation max (x, 2-x) = min (3x, 1 + 2x) Hint Max (3,1) = 3 min (2, 7) = 2

5. Given the sequence x 1 = 1, x n+1 = sec (arc tan x n ) find the value of x 2018

6. Find the polynomial f(x) = ax 2 + bx + c, a > 0, whose roots are the reciprocals of the roots of f(x) = 2x 2 - x - 13.

7. ABCD is a quadrilateral with AB = 5, AC = 10, angle D = 30 degrees and angle BCD = 60 degrees. If angle DAC = angle ABC find the length BC.

8. ABC is a right angled triangle with angle A = 90 degrees. angle B = 60 degrees and BC = 10. P is any point inside the triangle ABC and BP meets AC at X. What is the probability that AX > 5 2 ? 1 5 9. k is an integer , 0  k  2018. We define f(k) = C 2018 ( ) k ( ) 2018−k k 6 6 Find k which maximises f(k) n! Note C n ( n select r) = r k!(n − k)!

10. Jack rolls a fair octahedral die marked with the numbers 1 through 8 Then Brenda rolls a fair six-sided die. What is the probability that the product of the two rolls is a multiple of 3?

11. An arithmetic sequence has a common difference d, a positive integer greater than 1, and contains the three terms 3, 465 and 2018. What are all the possible values that d can have?

12. i) The equation x 2 = 3 [x] + 1 where [x] is the greatest integer function. This equation has two solutions of the form k where k is a positive integer. Find these two solutions. ii) Solve the equation x 2 = 3 [x] + (k 2 - 1), k > 0 and k is an integer.

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Online Membership System masanet.wildapricot.org

Your subscription can easily be recovered within the year through significant concessions to MASA conferences and workshops, access to student activities and our publications.

Australian Mathematics Teacher (4 issues per year) Australian Senior Mathematics (2 issues) Australian Primary Mathematics Classroom (4 issues)

Membership of MASA automatically affiliates you with AAMT. One AAMT journal is included in the MASA membership fee, others may be purchased separately by completing the relevant details on the MASA membership form.

• access to MASA’s extensive professional development programs at Member’s rates • substantial Member concessions on conferences and publications • affiliation with the Australian Association of Mathematics Teachers Inc. (AAMT) • extensive deductions to a range of AAMT publications and services • regular information about developments in mathematics education • subscriptions may be deducted from your Credit Union SA account. • tax-deductible Membership

The AAMT publications section offers a wide range of high quality mathematics education materials for sale at reasonable prices. The AAMT Mathematics Resource

Catalogue and newsletter (Highest Common Factor) is sent to all MASA members.

Members can also select extra magazines to receive throughout the year. These are listed on our Membership form titled Serial Publications. AAMT gives a substantial reduction in cost to all MASA Members. It does pay to become a MASA member and save on the cost of resources. For further information visit www.aamt.edu.au

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AND THE WINNER IS…..We will be conducting draws throughout the year where one lucky Member each Term will receive a $25.00 Dymocks book voucher. The winner for Term 3, 2018 is Kris Dimitros, TRT –

Congratulations! And thank you for being a member of MASA

Each year MASA presents an award to a teacher, who attends one of our Professional Development Sessions. All teachers who put their name on any of our Professional Development Forms will automatically be entered into the draw. The prize of a $100.00 book voucher is sponsored by Dymocks . This draw is held at our AGM on Tuesday 28th November at our MASA office. We appreciate the continued support of Dymocks Adelaide and once again extend our thanks for their contribution.

Renew your MASA Membership for 2018– (click here)

The subscription year is 1st of January to 31st of December.

Remember to renew to receive discounts on PD workshops and conferences and most publications, and many other benefits.

Highlighting our New Membership Category for Retired Teachers

MASA has many members who have recently or not so recently, stepped away from the classroom. For MASA, the experience and expertise of these people is something we value, and we wish to maintain links with these retired teachers.

As an incentive for retired teachers to remain in the fold, we have created a new level of membership that gives full voting rights and an included subscription for the discounted price of $70 per year.

If you have any issues making the level change in your renewal, please call Patricia Chigwidden at the MASA office on 8362 4332 for assistance.

Education is in our DNA here at Credit Union SA.

Originally established by South Australian teachers nearly 60 years ago, we’ve been providing banking and financial services to education workers – and their families – ever since. Not only do we value the work of educators, but we also provide special banking packages for anyone working in the education community. Click here for special offer available until August 5th ********************************************

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Thank you to our Major Sponsors for their support at our highly successful Annual Conference held at St Peter’s College on Thurs 26th & Fri 27th April, 2018

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