**How to go about this activity?**

1. Purchase the resource if you are extra keen. Or,

2. Simply make up a template to enable each student to construct their building (in this case a retail store).

3. Use tessellations for the roof design (google search “roofing tiles” etc. for ideas).

4. Print out the roof design and design for the front and sides of the shop. (an additional activity could be to price up the roofing tiles, etc.)

5. Paste onto card and glue or tape the building together. On a small ply offcut, glue the shops together, add a street and some cars and people and you have your very own town!

6. For the English curriculum add logos that promote each store’s function, add advertising, etc. This can be extended with (e.g.) the creation of a short promotion video.

7. In Food Technology, make cup cakes that use each store’s logos for a “Market Day” promotion to another class.

Good fun, great Mathematics/English/Food Technology, and a nice Integrated Study unit.

]]>**Task 2**: What name is given to the pointy bit at A? (You might have to research your answer in Task 1 to find out).

**Task 3**: What do you think the purpose is of the curved base of the telescope at B? (shucks – more research might be needed).

**Task 4**: Scientists at the *Institute for Radio Astronomy and Space Research* have just picked up an unusual signal, obviously from intelligent life. How do they know? Because the signals have a numerical pattern, along with different colours. Jim Logan, a respected New Zealand mathematician, says that he is 101% certain that this signal is – and I quote – “A sure sign of Alien life!” This is the pattern that was received at the Warkworth Observatory and carefully examined by Mr Logan:Here is a brief transcript of Mr Logan’s mathematical analysis of the number pattern:

“(Clears throat) I am sure that what we have here is a remarkable discovery – a new alien language (I used to think that Maths was an alien language). Someone is obviously wanting to communicate with us here in Tai Tokerau (north of NZ), or even in wider Aotearoa (NZ). Why did they choose us and why mathematicians? Well, it is obvious that they trust New Zealanders – an honest race of law-abiding citizens. And they love numbers – see for yourself in their message! It seems that they enjoy color too and, from my brief observation – they love having fun with numbers, just like me!”

These aliens have a strange way of showing numbers with different colored rings. I have had a colorful life too. However, I am puzzled – which is really unusual for me as I normally come up with all the puzzles for other mathematicians to solve! (scratches his head). So, I am sharing what I have found and need your help to crack the code.”

**What is the meaning of the colored rings? Can you break the pattern code(s)?**

**Task 5**: Jim Logan wants to impress his friends and send the aliens a message to show them that we understand the number pattern they have sent us. Draw the shape and colors we need for the number **77**.

**Task 6**: (for deep space thinkers): How could you code your message to send out the number 77 as an electrical signal?

(more information – watch Dan Finkel’s video at Tedx)

Here is a doc of this exercise – so you can customize it for your class or teacher:

The Warkworth Radio Astronomical Observatory worksheet-rlutj5

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When Caucher Birkar, a professor at Cambridge University, heard that he would be awarded one of this year’s medals at a ceremony in Rio de Janeiro, he was thrilled.Cambridge University released a statement saying that Birkar was honoured “for his work on categorising different kinds of polynomial equations. He proved that the infinite variety of such equations can be split into a finite number of classifications, a major breakthrough in the field of bi-rational geometry,” the statement said.

The 40-year-old, who specialises in algebraic geometry, was raised in a Kurdish village in Iran and, after studying at the University of Tehran, sought political asylum in Britain and completed his studies at the University of Nottingham.

In an interview with *Quanta* magazine, Birkar said that “*to go from the point that I didn’t imagine meeting these people to the point where someday I hold a medal myself – I just couldn’t imagine that this would come true*“.

Then the medal was stolen from him shortly after he received it. Birkar apparently put his medal in his briefcase, alongside his wallet and phone. He left the briefcase on a table in the convention centre, and, in a matter of minutes, the briefcase was gone, according to Brazilian outlets.

Someone was very meddlesome!

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The whereabouts of the ship was a mystery until Massachusetts-based WHOI (Woods Hole Oceanographic Institute) managed to capture images that located the San Jose in more than 600 metres of water.

The following video is an old one but also uses pirate ships to excite young minds to discover the hidden treasure!

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Researchers at Oxford University have set a new speed record for the ‘logic gates’ that form the building blocks of quantum computing – a technology that has the potential to dwarf the processing power of today’s classical computers.

The Oxford team is using a trapped-ion technique to develop its computer, in which logic gates place two charged atoms – containing information in the form of quantum bits, or *qubits* – in a state of quantum entanglement.

Described by Einstein as ‘spooky’, entanglement means that the properties of the two atoms stay linked, even when they are separated by great distances. The research builds on previous work in which the team, led by Professor David Lucas and Professor Andrew Steane (above) of Oxford’s Department of Physics, achieved a world record for the precision of the logic gate, reaching the demanding accuracy set by theoretical models of quantum computing.

The lead authors of the paper are Oxford doctoral student Vera Schäfer, and Dr Chris Ballance, a research fellow at Magdalen College, Oxford.

Vera Schäfer said: ‘Quantum computing will be ideally suited for tasks such as factorising large numbers or simulating complex reactions between molecules to help with drug development. Previous work in our group produced quantum logic gates with record-breaking precision. We then began work on increasing the speed of those gates without compromising their accuracy, which is tricky.

‘Trapped ions move like a pendulum during the gate operation, but when this process is sped up they become sensitive to a number of factors that cause errors.

‘By making use of a technique that precisely shapes the force on the ions such that the gate performance becomes robust to these factors, we were able to increase the speed by a factor of 20 to 60 compared with the previous best gates – 1.6 microseconds long, with 99.8% precision. [One *microsecond* is to one second as one second is to 11.574 days]

‘We have now produced the highest fidelity and the fastest gate, reaching a point where our gates are in principle good enough for quantum computing. The next step is to think about it in practical terms and work towards scaling up our system to create a viable quantum computer.’