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Entries open to Years 7 to 10 Visit the website: www.tma.org.nz w t w to ww. org. r 10 t t en to websit V www rs w s o z n t b sponsored by Nathan Harper

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l Methanex Maths Spectacular 2015 Informa on Booklet1

Entr ies open to Years 7 to 10Vis i t the website: www.tma.org.nzw

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toww. org.

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sponsored by

Nathan Harper

l Methanex Maths Spectacular 2015 Informa on Booklet2

ContentsThank You to Our Generous Sponsors ...................................................................... 3Introduc on .............................................................................................................. 4Contact Informa on ................................................................................................. 5Privacy Statement ..................................................................................................... 5Judges’ Decisions ...................................................................................................... 5Important Informa on for 2015 ............................................................................... 6Other Informa on .................................................................................................... 7 Timetable for Maths Spectacular Week ................................................................... 8Categories ................................................................................................................. 10Hand Drawn 2D Artwork (for INDIVIDUALS only) ..................................................... 10Computer Generated 2D Artwork (for INDIVIDUALS only) ....................................... 103D Artwork (for 1 or 2 students only) ....................................................................... 10Poetry and Crea ve Wri ng (for INDIVIDUALS only) ................................................ 10Maths in the Energy Industry Project (for 1, 2 or 3 students only) ........................... 10IT Project (for 1, 2 or 3 students only) ...................................................................... 10Individual Projects (for INDIVIDUALS only) ............................................................... 11Group Projects (for 2 or 3 students only) ................................................................. 11Class Projects - Primary Year 7 to 8 (for the WHOLE CLASS) ..................................... 11Class Projects - Secondary Year 9 to 10 (for the WHOLE CLASS) .............................. 11Sta s cal Projects (for 1, 2 or 3 students only) ........................................................ 11Teams’ Quiz Compe on .......................................................................................... 12Prizes ........................................................................................................................ 13Compe on Prizes .................................................................................................... 132016 Poster Design Winner ...................................................................................... 13Grand Prize ............................................................................................................... 13Teams’ Quiz Compe on Prizes ............................................................................... 13Display Guidelines .................................................................................................... 14Headings ................................................................................................................... 14Text ........................................................................................................................... 14Diagrams ................................................................................................................... 14Layout ....................................................................................................................... 14Labelling Exhibits ...................................................................................................... 15Project Ideas ............................................................................................................. 16Further Ideas ............................................................................................................ 17Please support our generous sponsors .................................................................... 18

l Methanex Maths Spectacular 2015 Informa on Booklet3

Thank you to our generous sponsors

We owe a huge debt of gra tude to our sponsors for their generous support. Please help us thank them by suppor ng them and using their services!

SPONSORS: ASSOCIATE SPONSORS:

MAJOR ASSOCIATE SPONSORS:

SUPPORTING SPONSORS:

NAMING SPONSOR:

Methanex

Worley Parsons New Zealand Ltd

Clelands Construc on Ltd

Powerco Plant and Pla orm

Consultants

Liquigas Ltd ITL FitzroyEngineering

Western Ins tute of Technology

at Taranaki (WITT)

Staples RodwayOrigin Energy Resources

NZ Ltd

AWE

New Zealand Associa on of Mathema cs

Teachers

l Methanex Maths Spectacular 2015 Informa on Booklet4

Introduc onMethanex is pleased to support the Maths Spectacular in 2015, making it the 26th year we’ve been involved. Mathema cs is widely used in life and in a whole range of occupa ons; it helps us to think logically and solve problems, which are vital skills for our business and many others. We also think that mathema cs should be fun and engaging, something this event certainly succeeds in doing.

A li le bit about us: Methanex is the world’s largest supplier of methanol. Methanol is an essen al ingredient used to produce hundreds of everyday industrial and consumer items, including building materials, foams, resins, plas cs, paints, and a variety of health and pharmaceu cal products. It’s also a clean-burning alterna ve fuel for powering vehicles and ships, cooking food and hea ng homes.

Methanol is a clear liquid —CH3OH – four parts hydrogen, one part oxygen and one part carbon. Our three plants in Taranaki produce pure methanol by reforming natural gas with steam and then pu ng the resul ng synthesized gas mixture through a conversion and dis lla on processes. To do this requires a highly skilled and diverse workforce of 250 employees.

We employ engineers, laboratory technicians, operators, maintenance tradespeople, draughtspeople, accountants, managers and many more; all who require a solid educa on in mathema cs. The Maths Spectacular is a great way to get excited about maths, along with some healthy compe on too.

A big thanks to our hosts this year, New Plymouth Boys’ High School, all the teachers in the region involved and other sponsors. And of course, thank you to the many students who par cipate. Judges and viewers are always impressed with the high standard of projects entered.

Methanex New Zealand Director of Manufacturing,Brian Ropi ni

The methanol molecule CH3OH

l Methanex Maths Spectacular 2015 Informa on Booklet5

Contact informa on

Convenor Natalie Brien New Plymouth Boys’ High School [email protected]

Treasurer Spencer Page New Plymouth Boys’ High School [email protected]

Secretary Kelvin Simpson New Plymouth Boys’ High School [email protected]

Publicity Zoe Fuglistaller & Troy Standish

Quiz Night Paul Dominikovich

Sponsorship Sandra Parry New Plymouth Girls’ High Schooland Judges [email protected]

We look forward to seeing you at the Spectacular!

Privacy StatementBy entering this compe on, schools and students are gran ng permission for the organising commi ee to use their names and the images and descrip ons of their entries for publicity purposes, such as repor ng on the event and in promo ng next year’s event in various formats such as posters, booklets, websites etc.

Judges’ DecisionsPlease make sure that the mathema cal content of each entry is clear. The judges’ decisions are fi nal and no communica on will be entered into.

l Methanex Maths Spectacular 2015 Informa on Booklet6

Important informa on for 2015Please read: This page contains a quick guide of notes of par cular importance.

• Entry Fee – The entry fee is $30 for a school or $10 for a home schooled student. To be eligible to enter and display posters, projects, etc the entry fee must be paid before exhibits are delivered to the venue.

• Venue - This year’s event will be held at the Pukekura Raceway Func on Centre, La Mer Lounge, Mason Drive, New Plymouth.

• Offi cial Opening – This year the offi cial opening will take place at 7.30pm on Thursday, 27th August. Invited guests will be present and the Grand Prize will be awarded. All compe tors, friends, families and school representa ves are welcome to a end.

• Bookings for viewing – The Spectacular is open to the public and visi ng schools on only Thursday, 27th August and Friday, 28th August. Please make sure that you book your school group visit using the tma website. The event will also be open to the general public from 4-6pm on both the Thursday and Friday.

• Prize winners’ no fi ca on – An email will be sent to the school contact on the Wednesday a ernoon/evening. This will give the names of all prize winners. Schools, please make sure all prize winners are aware of their success and that they are expected to a end prize giving. An addi onal email will be sent to confi rm the fi nal quiz results.

• Labels on Exhibits – Labels must be securely a ached to all exhibits.

Please download the correct page of labels from www.tma.org.nz and print/copy. Exhibit labels must:

- Be on the correct colour paper (Y7 Red, Y8 Yellow, Y9 Green and Y10 Blue)- Have student names neatly printed and correctly spelt.- Have the school clearly iden fi ed (St Joseph’s schools, please ensure that you

diff eren ate your par cular school.)- Be entered into the correct category for that exhibit.- Be fi rmly a ached to the exhibit in a suitable loca on (easily viewable from

the front).Note: The organising commi ee cannot take responsibility for exhibits without labels or that have lost

their labels. Exhibits without labels will not be eligible for prizes.

• Collec ng Exhibits – All exhibits can be collected a er the quiz compe on on Friday evening or between 10am and 11am on Saturday, 29th of August. Please note that any uncollected exhibits cannot be stored and will be disposed of.

l Methanex Maths Spectacular 2015 Informa on Booklet7

Other informa on • The compe on is open to students in Years 7, 8, 9 and 10.• Prizes will be awarded at the discre on of the judges.

• Prize Giving will immediately follow the respec ve year’s Quiz. (Please refer to Sec on C for mes). Prize winners are expected to a end.

• The Grand Prize will be awarded at the offi cial opening 7.30pm on Thursday, 27th August.

• All entries must be clearly labelled using the correct colour of labels (downloadable from the website www.tma.org.nz).

Y7 Red Y8 Yellow Y9 Green Y10 Blue

• The exhibi on will remain open for public viewing un l the end of the quiz on Friday, 29th August. Please arrange for all exhibits to be collected a er the quiz compe on on Friday evening or between 10am and 11am on Saturday, 29th August. Any exhibits remaining a er this me will be disposed of.

• In all categories the judges will be looking for mathema cal content, quality of work, clarity of presenta on, neatness, originality, imagina on, posi ve portrayal of mathema cs, clear explana ons where appropriate, and accuracy in construc on. The judges’ decisions are fi nal and no communica on will be entered into on this ma er.

l Methanex Maths Spectacular 2015 Informa on Booklet8

Timetable for maths spectacular weekFriday, 21st August – Pre Spectacular prepara on by schoolsSchools should pre-sort all ‘fl at’ entries, such as two dimensional artwork, posters, poetry and crea ve wri ng, and a ach velcro hooks to the back of them. Print the name of the category on the exhibit label. Please make sure exhibit labels are clearly wri en and correctly spelt as this is what will be printed on cer fi cates. Labels must be a ached securely to the exhibit. The label should show the fi rst and last name of each student, the school name and the category in which the item is entered.

Note: St Joseph’s schools – please ensure it is clearly marked which St Joseph’s you are from.

Monday, 24th August – Delivery of exhibits to venueAll entries are to go directly to Pukekura Raceway between 3:30pm and 5:00pm. Further details regarding this will follow. Schools must arrange for their exhibits to be sorted into separate categories when they are dropped off . Please note that exhibits dropped off unsorted will not be displayed. It is not fair on the team se ng up. Please help make the system work.

Tuesday 25th August – Setup of displays by setup teamThe organising commi ee will set up the displays at the Pukekura Raceway.

Note: No late exhibits will be accepted.

Wednesday, 26th August – Judging of entries9:00am Judging of exhibits.

Results from each category at each Year level will be emailed to your contact on Wednesday evening. Please check for prize winners and alert them to this fact.

NOTE: Prize winners are expected to a end the relevant Prize Giving on Thursday or Friday evening.

l Methanex Maths Spectacular 2015 Informa on Booklet9

Thursday, 27th August 2015 - offi cial opening and Year 9 & 1 0 quizzes

Any school wishing to visit the Spectacular must book a me by using the link on the tma website.

Schools not booked run the risk of being turned away.

9:00am to 3:00pm – Pukekura Raceway will be open for schools and the public to visit.

Quiz Evening Schedule:4:00 pm Doors open for viewing.7:00 pm Year 9 Quiz Teams’ compe on.7:30 pm OFFICIAL OPENING Presenta on of the Grand Prize8.00 pm Year 9 Exhibitors’ Prize Giving. Year 9 Quiz Prize Winners announced.8:15 pm Year 10 Quiz Teams’ compe on.8:45 pm Year 10 Exhibitors’ Prize Giving.9:00 pm Year 10 Quiz Prize Winners announced

Friday, 28th August – viewing and Year 7 & 8 quizzes9:00am to 3:00pm – Pukekura Raceway will be open for schools and the public to visit.

Quiz Evening Schedule:4:00 pm Doors open for viewing.7:00 pm Year 7 Quiz Teams’ compe on.7:30 pm Year 7 Exhibitors’ Prize Giving.7:45 pm Year 7 Quiz Prize Winners announced.8:00 pm Year 8 Quiz Teams’ compe on.8:45 pm Year 8 Exhibitors’ Prize Giving.9:00 pm Year 8 Quiz Prize Winners announced

Saturday, 29th August – dismantling and collec on of exhibits10am to 11am Please collect students’ exhibits.

Any unclaimed exhibits will NOT be kept.

l Methanex Maths Spectacular 2015 Informa on Booklet10

Maths Spectacular Categories 2015

Hand Drawn 2D Artwork (for INDIVIDUALS only)

This group includes designs, tessella ons, transforma ons etc. The fi nished work must have an underlying mathema cal theme, cannot be computer generated and must be either A4 or A3 in size. No other size will be accepted.

Please do not allow students to merely colour in a photocopied design. Such exhibits will not be displayed.

Computer Generated 2D Artwork (for INDIVIDUALS only)

This group includes designs, tessella ons, transforma ons etc. The fi nished work must have an underlying mathema cal theme and must be accompanied by a por olio showing the design process and be either A4 or A3 in size.

No other size will be accepted.

3D Artwork (for 1 or 2 students only)

This category includes geometrical solids, mobiles, sculpture, models and collages. Up to 20 words are allowed for tles and labels.

Poetry and Crea ve Wri ng (for INDIVIDUALS only)

The wri ng must be original and well presented. There is no restric on on form. There is a maximum of 200 words, presented on one side of an A4 or A3 page. Diagrams and illustra ons are acceptable. Wri ng with a posi ve view of mathema cs will be at an advantage in the judging.

Individual Projects (for INDIVIDUALS only)

This sec on is for topics that are not sta s cal in nature. Exhibits must have suppor ng wri en material that shows research and/or inves ga ve skills and/or design processes. Projects must be no larger than 1200mm wide by 600mm deep by 800mm high.

Backing and sides for the project are suggested. The venue will have some display boards for posters and tables for standing displays. We strongly recommend that projects be free standing. No computers or electronic equipment are to be on display.

Projects requiring par cipa on by visitors (by pushing bu ons, levers, etc) will be accepted, and must be designed so that they are fool-proof, robust and do not require opera on or explana on by the exhibitors. All items must be fi rmly a ached so that they cannot be easily picked up and carried away by visitors. The Commi ee cannot be responsible for any losses or damage. Protec ve coverings and “Do Not Touch” signs may be used.

l Methanex Maths Spectacular 2015 Informa on Booklet11

Maths in the Energy Industry Project (for 1, 2 or 3 students only)

Requirements are as for the Individual Project but the project must explore and relate to mathema cs in the Energy Industry.

Group Projects (for 2 or 3 students only)

Requirements are the same as for Individual Projects.

Class Projects - Primary Year 7 to 8 (for the WHOLE CLASS)

Class projects must be of a mathema cal nature and need to involve the en re class.

Class Projects - Secondary Year 9 to 10 (for the WHOLE CLASS)

Class projects must be of a mathema cal nature and need to involve the en re class.

Sta s cal Projects (for 1, 2 or 3 students only)

Requirements are as for Individual Projects, except that projects must have a survey or sta s cal theme.

l Methanex Maths Spectacular 2015 Informa on Booklet12

Teams’ quiz compe onNote: Schools are expected to supply teachers as markers for the Quiz evenings.

• A team may have a MAXIMUM of four compe tors.

• Registered schools may enter up to TWO teams per level. Composite teams formed from diff erent year levels may be entered but they must take part in the quiz intended for the higher level, e.g., a composite Year 7 and 8 team must be entered in the Year 8 compe on.

• Apart from pens, pencils, rulers and scien fi c (non-programmable) calculators, NO other MATHEMATICAL AIDS are allowed.

Please make sure that this rule is followed as infringement may lead to the disqualifi ca on of a team.

• A ques on answered correctly on the fi rst a empt scores fi ve marks. If answered correctly on the second a empt it scores four marks and so on, un l the minimum mark of one mark is reached.

• Each ques on must be a empted at least twice before a team decides to ‘pass’ and move on to the next ques on.

• A team may NOT go back and re-a empt a “passed” ques on.

• Teams should not spend too long on any single ques on. A useful strategy is to a empt as many ques ons as possible.

• In the event of a e for fi rst, second or third place, only the ed teams will answer a e- breaker ques on to decide the fi nal placing.

• Ensure that your teams are present at least 20 minutes before they are due to start. The quizzes will start at the adver sed me and any late teams will run the risk of disqualifi ca on.

l Methanex Maths Spectacular 2015 Informa on Booklet13

PrizesCompe on Prizes• Prize values for the four project categories are:

First $90 cash per group Second $60 cash per group Third $30 cash per group

• Prize values for the class project category are:

First $120 cash per class

• Prize values for all other display categories are:

First $40 cash Second $25 cash Third $15 cash

• The awarding of prizes is at the discre on of the judges.

• At the discre on of the judges’, Merit cer fi cates may be awarded.

• The judges’ decisions are fi nal and no communica on will be entered into.

• At the discre on of sponsors, equivalent prizes may be awarded.

• Prizes not claimed on the night of the Prize Giving will be forwarded to the school. The commi ee is not responsible or liable for unclaimed prizes a er the Prize Giving.

2016 Poster Design WinnerThis will be selected by the Math Spectacular Commi ee from the 2-D Artwork categories.

Grand PrizeAn overall GRAND PRIZE of $300 will also be awarded to an individual or group for the most outstanding exhibit.

Teams’ Quiz Compe on Prizes• For each of the Years 7, 8, 9 and 10 Teams’ Quiz, the following prizes

will be awarded:

First Trophy and $120 cash (i.e. $30 per person). Second $80 cash (i.e. $20 per person). Third $40 cash (i.e. $10 per person).

l Methanex Maths Spectacular 2015 Informa on Booklet14

Display guidelinesHeadings

• Give your project a short descrip ve tle.

• Ensure that this main heading is bold and prominently placed.

• If the tle is chosen mainly to a ract a en on, use sub tles or a brief statement which outlines the aim and purpose of the project.

Text

• Use neat prin ng if you are unable to use a computer.

• Le ers are more readable if they are more than 5mm high.

• Print in black or a dark colour.

• Well-spaced lines are easier to read.

• Tables of fi gures are not usually read.

• Make sure that your spelling is correct.

• Emphasise the mathema cal content of your work.

Diagrams

• Graphs and diagrams a ract more a en on than blocks of text or tables.

• Diagrams drawn in ink are more a rac ve than pencil drawings.

• Use colour carefully; some colours have more impact than others.

Layout

• Aim to have an eye-catching and a rac ve presenta on.

• Have a central theme and try not to overcrowd your display.

• If you have a three-sided exhibit that folds out, spread the wings to show all the display.

• Choose the background colour carefully.

• Short, clear statements are more eff ec ve than blocks of text.

Work that does not meet public display standard will not be exhibited. Teachers, please encourage high standards of presenta on and pre-screen entries. Please ensure that each student’s fi rst and last name is on the label, correctly spelt and that the category is correct.

l Methanex Maths Spectacular 2015 Informa on Booklet15

Labelling exhibitsLabels should be photocopied onto the appropriate colour paper as shown below

Year 7: Red

Year 8: Yellow

Year 9: Green

Year 10: Blue

Please make sure your students’ exhibit labels are clear and contain:

1. Both a fi rst name and surname of each student (correctly spelt).

2. The school name. Note for St Joseph’s schools – please ensure it is clearly marked which St Joseph’s you are from.

3. The correct category.

All labels must be a ached securely to the exhibit. The organising commi ee cannot take responsibility for exhibits without labels or whose labels have become detached.

Copies of labels sheet can be downloaded from the website www.tma.org.nz

l Methanex Maths Spectacular 2015 Informa on Booklet16

Project ideas Applica ons of Mathema cs: supermarkets; bridges; projec les; surveying; buying a car;

fl ight; gears

Archimedean solids

Boolean Algebra

Boomerangs - history and dynamics

Calcula ng devices

Coins - shape and symmetry

Currency conversions

Driving sta s cs

Flight and aerodynamics

Geometry of a catenary

Geometry on a cylindrical surface

Graphs

History of a Mathema cal event

History of number

History of values of π, e

How to lie with Sta s cs

Life of a par cular mathema cian

Logarithmic scales

Mathema cs and family trees: a ‘real life’ example of rela ons;

sta s cal research

Mathema cs and sport: scoring systems; sta s cs

Mathema cs and the weather

Mathema cs in the workplace

Mathema cs in crystals

Mathema cs in music

Mathema cs in nature

Mathema cs in stamps

Mathema cs in the home: building; decora ng; budge ng

Mathema cs in the occult

Mathema cs in the zoo

Mathema cs in transport car; travel; roads; maps

Mathema cs of growth: humans; animals; plants

Mathema cs of recrea on: holidays; hobbies

Measurement of me

Measuring devices

Moebius strips

Naval strategy and war games

Olympic or Commonwealth Games

Paper darts

Perfect numbers

Plane projec ons of the Earth

Platonic solids

Pythagoras’ Theorem

Pythagorean triples

Rouleaux triangle - rotary engine

Roman numerals

Sequences

Simula ons and modelling

Square roots without calculators

Symmetry and logos

Symmetry in nature

The binary system

The duodecimal system

l Methanex Maths Spectacular 2015 Informa on Booklet17

Further ideas Braille

Calcula on of π

Codes

Conic Sec ons

e

Euclid’s algorithm

Flexigons

Gambling

Gene cs

Geodesics

Harmonic mo on

Harmonographs

Hexominoes

Kepler’s Laws

Kites

Knots

Magic Squares

Maps and scales

Mazes

Napier’s Bones

Naviga on

Nim

Pascal’s Triangle

Pentagrams

Pentominoes

Pick’s Theorem

Prime numbers

Pyramids

Rubik’s Cube

Series

Slide Rules

Sta s cal surveys

Tangrams

Tessella ons

The Abacus

The Calendar

The Parabola

Topology

Tower of Hanoi

l Methanex Maths Spectacular 2015 Informa on Booklet18

Please support our generous sponsors

SPONSORS: ASSOCIATE SPONSORS:

MAJOR ASSOCIATE SPONSORS:

SUPPORTING SPONSORS:

NAMING SPONSOR:

Methanex

Worley Parsons New Zealand Ltd

New Zealand Associa on of Mathema cs

Teachers

Clelands Construc on Ltd

Powerco Plant and Pla orm

Consultants

Liquigas Ltd ITL FitzroyEngineering

Western Ins tute of Technology

at Taranaki (WITT)

Staples RodwayOrigin Energy Resources

NZ Ltd

AWE