Math Club (May) : Fibonacci Numbers (Patterns, Puzzles and Geometry)
Week 1
- Challenge 1: Counting the ways to GWe already found the number of ways to reach A, B, C, D, E and F. Can you predict the total num…5 answers
- Challenge 2: Painting tiles, no two black togetherWe have some tiles (in a row) and we need to paint them. We have 2 colors, yellow and black . R…4 answers
- Challenge 3: Tiles: find the patternFor the previous challenge, try for different number of tiles and record your findings in the t…2 answers
- Challenge 4: Spirals in a sunflowerCan you count the number of spirals in both the directions in this picture of a sunflower?…3 answers
Week 2
- Challenge 1: Your favourite Fibonacci experimentWe performed around 4 experiments with the Fibonacci series. Describe one of your favourite exp…2 answers
- Challenge 2: Squaring the Fibonacci numbersOne of the experiments we did involved the following the steps. Start with the Fibonacci series…3 answers
- Challenge 3: Dividing consecutive termsHere is a new experiment to try out. Here is the Fibonacci series. 1, 1, 2, 3, 5, 8, 13, 21, 34…5 answers
- Challenge 4: Where the multiples hideHere is the list of Fibonacci numbers. Circle all the multiples of 2 in this list. Do you notic…8 answers
Week 3
- Challenge 1: 15 piece chocolateIn this 2 player game, we have a 15 piece chocolate bar. – In their turn, a player can break th…6 answers
- Challenge 2: 20 stonesTry playing the game in different ways with a pile of 20 stones. What will be the winning strat…4 answers
- Challenge 3: Try different valuesTry playing the game with different number of stones to start with. Record your findings or win…6 answers
- Challenge 4: 2 Piles of stonesThere are two piles of stones: one with 8 stones, one with 15 stones, At each turn, a player ca…3 answers
- Challenge 5: 3 piles of stonesThere are three piles of stones with 10, 15 and 25 stones. At each turn, a player can choose on…2 answers