Fibonacci maths 2

Today at Enrich we did the high interest station again we went though and looked at other way of how the Fibonacci sequence connects to nature. Like, a rabbits family tree and a cows family tree. Up the top there is a family tree of a rabbit. You can see that the dots go 1, 1, 2, 3 and the rest of the ones that are on there. It was great learning about the Fibonacci sequence. I will probably see how far I can get at home on a piece of paper. There is also a picture of a Fibonacci spiral.  The size of the boxes are the Fibonacci sequence.  It connects to so many things in nature!

Fibonacci numbers

Today at Enrich for math we did Fibonacci numbers. They are a sequence of numbers where you add the two number before the number for example 0 and one make 1. Here's the first 100 numbers:

 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811 29514229 832040 1346269 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 1134903170, 1836311903, 2971215073, 4807526976, 7778742049, 12586269025, 20365011074, 32951280099, 53316291173, 86267571272, 139583862445, 225851433717, 365435296162, 591286729879, 956722026041, 1548008755920, 2504730781961, 4052739537881, 6557470319842, 10610209857723, 17167680177565, 27777890035288, 44945570212853, 72723460248141, 117669030460994, 190392490709135, 308061521170129, 
498454011879264, 806515533049393, 1304969544928657, 2111485077978050, 3416454622906707, 
5527939700884757, 8944394323791464, 14472334024676221, 23416728348467685, 37889062373143906, 61305790721611591, 99194853094755497, 160500643816367088, 259695496911122585, 420196140727489673, 679891637638612258, 1100087778366101931, 1779979416004714189, 2880067194370816120, 4660046610375530309, 7540113804746346429, 
12200160415121876738, 19740274219868223167, 31940434634990099905, 51680708854858323072, 83621143489848422977, 135301852344706746049, 218922995834555169026, 354224848179261915075.

It get's very high numbers in the first hundred numbers. It was very fun this morning and here's a picture of Fibonacci. The largest Fibonacci number has 465 digits 

4346655768693745643568852767504062580256466051737178040248172908953655 
5417949051890403879840079255169295922593080322634775209689623239873322 
471161642996440906533187938298969649928516003704476137795166849228875

 

We explored how a Honey bee's family tree was like the Fibonacci sequence.

Electricity circuts

We used 12 batteries in this one 

We used 12 batteries 

                                                               I think this we used 6 batteries

Today for science we made light bulbs. We used pencil leads, a jar, pie tin, positive and negative wires, eight D size batteries and tape. First we got out the batteries and taped them into twos. We attached the  wires and tried a whole lot of different leads. The first one we used was the hard kind. It exploded. The next was soft and one lit up and broke. We kept experimenting and I think it was when we used twelve batteries to power a 4B lead. Here's some pictures of most of the attempts.

Today at Enrich I did chemistry with Jenni. We made elephant toothpaste. We had to put rubber gloves on to protect our skin and hands. We had to because it had hydrogen peroxide in it. We added food colouring and yeast to make it rise. This was what it looked like after we poured the yeast into it up above. Mine was the second biggest. Kavarn's was the biggest