Tuesday March 14th was World Pi Day (In the US, the date is written with the month first followed by the day i.e 3.14) To celebrate we went outside in the spring sunshine and investigated different circles in our environment from plant pots to funnels. We worked together to investigate the tractor tyre. We used string to measure the circumference and then the diameter. We then worked out how many diameters fitted in the circumference. To our amazement we all got roughly the same answer which was 3 and a bit even though our circles were of hugely different sizes. As we have been studying fractions recently we expressed the bit as a fraction. The average of all our results was 3 1/7. We worked out that 3 1/7 is 3.142857 and then stopped finding anymore decimal places! This is not far off Pi. We made a conjecture that if we had been accurate with our measurements we all would have got the answer pi.
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Here are some our Jackdaw's comments about our Maths Share Day: The Maths Share day was a great opportunity to show all the parents what our teacher has taught us. To show them what we have learnt, the teachers set out activities for us and parents to do. One of the activities I did with people was a puzzle of weird numbers. It was so hard, we had to get someone who had already done it to help us. The Apple in the Bag Fraction Puzzle (Brahmaguptha's Puzzle)  In this puzzle you had to find how many apples were in the bag and how many remained for the last person. The first thing we did was find a common denominator in this case 60 because it's a multiple of 3, 4 and 5. To get to 60 from 3 you times it by 20 so you do the same to the numerator (20/60) and you do the same to the rest so you get 20/60, 15/60 and 12/60. When add them together you get 47/60 that means 13 apples were left. I was playing Colonel Conjecture in the play. I had to stay in a dark claustrophobic cupboard with Hayden who was playing Captain Convince. When Robert (the stage manager) knocked on the door I had to kick it open and rush out onto the stage. The best bit of the play was the look on Kayleigh's face as I kicked open the door! The Maths day was so fun and I learnt a lot from it! I loved the play, it was all about our Maths superheroes, I was Classifying Casey. One of the Maths activities was a 'We Will Rock You' problem. We used the song 'We will Rock You' and the beat goes 'Tap Tap Clap Tap Tap Clap' then we had to work out the 100th beat i.e. whether it was a tap or a clap. I did a role play with KS2. I was a little kid with Katie . We were figuring some sums out and we figured out that two odds make an even. Some Maths superheroes  Captain CC, OC and Super SG  helped us through everything. Having learnt about how an AngloSaxon Burial Site was discovered at Sutton Hoo, we noticed some odd features in our own playing field. Tucked away among the bushes was a unnatural looking mound. We decided to investigate. We excavated an area approximately 2 metres long, 1 metre wide and 0.75 metres deep. We made some astonishing discoveries! We used Cuisenaire Rods to help us add fractions by using the rods to find the least common denominator of each fraction. The number of rods of each denominator needed to make the LCD tells us how many times we need to multiply each numerator.
Thinking of Incredible IE, we used Base Ten (Diene's) Blocks to help us solve long multiplication and division problems. When multiplying, we noticed that the area of an array is the product, and when dividing, we noticed that the area is the dividend and the sides are the divisor and quotient. Using this information, we deduced the answer to the problems. Building the arrays also helped us to further establish the link between multiplication and division in our minds. We were then able to write the 'Happy Family' of related Number facts for each calculation.
Using our Mathematical Superpowers, we were able to solve a Mathematical Investigation. We wanted to find out what happens when starting from 1, you add consecutive odd numbers. We thought of Incredible IE and used Numicon to make the calculations. This allowed us to see a pattern. We noticed that the sums of these sequences of numbers always made a square. After a lot of hard work, we made a generalisation. In order to work out the sum of consecutive odd numbers starting at 1, you need to count how many odd numbers there are in the calculation and then multiply this number by itself. Therefore, if you want to find the sum of the first 1000 consecutive odd numbers, you just need to multiply 1000 x 1000. This is much easier than adding all of the numbers together!
This week in Maths we met the Mathematical Superheroes who possess Mathematical Superpowers. Captain CC solves Mathematical Problems by making conjectures and then convincing us if they are true or not. Incredible IE imagines the problem and then expresses it. He may draw the problem or make it using manipulatives. Organising OC makes sure all of our Mathematical Thinking is well organised and classified into related sections. Finally Super SG zooms in on a problem by specialising. She may decide to use a smaller number in order to see a pattern in a problem. When she has detected a pattern, she might make a generalisation or in other words come up with a rule that applies to the problem. Jackdaw class drew some fantastic designs of what they thought the Mathematical Superheroes looked like. Jackdaw Class travelled down to the home of BT at Adastral Park, Martlesham, to take part in a Crumblebot Taster Day. The Crumblebot is a small robot built around the programmable Crumble controller. It moves, it shines lights and reacts to the environment  but only if your coding tells it to! The children had the opportunity to learn how to program these little robots supported by professional computer programmers from BT. By the end of the day, they had to program their Crumblebots to negotiate the way around a challenging path with lots of roundabouts and tricky curves. In order to do this, the children had to use their deep thinking skills in order for their programs to concepts such as conditionals. The Jackdaws showed fantastic resilience in what was a very difficult task and by the end of the day, everyone had taken part in a competition against other schools and performed admirably well.

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March 2017
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