Exploring the Fibonacci Sequence and Golden Ratio

What is the rule for generating the next number in the Fibonacci sequence?

• Add the last two numbers

• Subtract the last number from the previous one

• Multiply the last two numbers

• Divide the last number by the previous one

Tags

CCSS.HSF.BF.A.2

Who discovered the Fibonacci sequence?

• Galileo Galilei

• Albert Einstein

• Isaac Newton

• Leonardo Fibonacci

In which century did Leonardo Fibonacci live?

• 15th or 16th century

• 13th or 14th century

• 11th or 12th century

• 9th or 10th century

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CCSS.HSA-REI.B.4B

What is the approximate value of the golden ratio?

• 1.732

• 2.718

• 1.414

• 1.618

What happens to the ratio of consecutive Fibonacci numbers as the sequence progresses?

• It approaches 1.618

• It remains constant

• It approaches 2.718

• It approaches 1.414

What shape is formed by the visual representation of the Fibonacci sequence on graph paper?

• Rectangle

• Spiral

• Circle

• Square

Which of the following is NOT an example of the golden ratio in nature?

• Nautilus shells

• Hurricanes

• Square tiles

• Galaxies

What is the Greek letter used to represent the golden ratio?

• Beta

• Gamma

• Alpha

• Phi

Which famous artist is known to have used the golden ratio in his artwork?

• Pablo Picasso

• Claude Monet

• Leonardo da Vinci

• Vincent van Gogh

Tags

CCSS.4.MD.C.6

What tool can be used to find the golden ratio in the real world?

• Ruler

• Protractor

• Calipers

• Compass

Tags

CCSS.4.MD.C.6