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Fibonacci Sequence Activity - Contenido educativo
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NASA Connect segment involving students in an activity that explores the Fibonacci Sequence. The segment explores ratios, measurements, and proportionalities.
Hi, we're from Fairview Maths Academy, Dane, Ohio.
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We're SEMA students.
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Hi, we're from Roosevelt Middle School in Springfield, Ohio.
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We're SEMA students.
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NASA Connect asked us to help you learn this lesson.
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There are many ways to divide the class up
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to check for the Fibonacci ratio in the objects you've collected,
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but we've decided to have three groups.
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The first group will measure natural objects.
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First, count the number of sides of the unpeeled banana.
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Write this number on the worksheet.
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On the pineapple, count the number of squares in two adjacent spirals.
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Are the adjacent numbers in the Fibonacci sequence?
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Count the segments of the halved grapefruit.
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Is the grapefruit golden?
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Examine the pine cone for the number of spirals that go to the right
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and compare that number to the number of spirals that go to the left.
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Look at the daisy.
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Compare the number of petals that grow in a clockwise direction
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to the number that grow in a counterclockwise direction.
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Is your daisy golden?
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Now check any other natural objects that you have brought to class.
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The second group uses body measurements that approximate the golden ratio.
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Write the ratio of finger segments in one finger to the number of fingers on one hand.
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Is your hand golden?
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Now measure each student's height and record the results on the worksheet.
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Measure each student from the top of their head
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to the top of the middle finger of the outstretched arm.
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Record the results.
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What is the ratio of the height to the measure of the length
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from the top of the head to the end of the outstretched arm?
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Does it approximate the golden ratio?
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Measure the height of each student and the navel to floor height of each.
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Write the result as a ratio of body height to navel to floor height.
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Is the result close to the golden ratio?
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Measure each student's arm length and fingertip to the elbow.
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Write the result as a ratio.
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Is it golden?
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Group 3 measures man-made objects.
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Verify the Fibonacci numbers by measuring the length and width of an index card.
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Try this with an ID card.
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Measure other objects in the classroom or brought to class.
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When all groups finish with their explorations,
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they could summarize their findings and report to the rest of the class.
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Special thanks to our AIAA students from the University of Cincinnati.
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Great job, guys!
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After you've completed the activity on the golden ratio,
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you should analyze your observations and respond to the following.
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In four sentences, describe the activity you just completed.
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Was everything you examined golden?
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How do you determine if an object is golden?
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Do you think that there is another special ratio,
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like the golden ratio, that exists in nature?
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Why?
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Teachers, check out our NASA Connect website.
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- Valoración:
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- Idioma/s:
- Materias:
- Matemáticas
- Niveles educativos:
- ▼ Mostrar / ocultar niveles
- Nivel Intermedio
- Autor/es:
- NASA LaRC Office of Education
- Subido por:
- EducaMadrid
- Licencia:
- Reconocimiento - No comercial - Sin obra derivada
- Visualizaciones:
- 593
- Fecha:
- 28 de mayo de 2007 - 16:53
- Visibilidad:
- Público
- Enlace Relacionado:
- NASAs center for distance learning
- Duración:
- 03′ 19″
- Relación de aspecto:
- 4:3 Hasta 2009 fue el estándar utilizado en la televisión PAL; muchas pantallas de ordenador y televisores usan este estándar, erróneamente llamado cuadrado, cuando en la realidad es rectangular o wide.
- Resolución:
- 480x360 píxeles
- Tamaño:
- 20.09 MBytes
