I/D#1:Unit N - How do Special Right Triangles and The Unit Circle Relate?

Inquiry Activity Summary

This activity helps me derive the Unit Circle because the angles that are given and plotted if plotted all the way around make the unit circle with all the same radians as well. As shown in this picture below.

We can also see that as the triangles are changing quadrants the values of the radians change also shown in the picture below

Inquiry Activity Reflection

1. The coolest thing I learned from this activity was the pattern i see as i move around the circle with the different triangles
2. This activity will help me in this unit because it shows me the difference between all three triangles
3. Something I never realized before about special right triangles and the unit circle is that as we move around the circle the signs of the radians change

WPP#9 Unit L Concepts 4-8:Calculating Probabilities with FCP, Combinations with one & multiple events, permutations & distinguishable permutations

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SP#6 Unit K Concept 10: Writing a repeating decimals a rational number using geometric series

In this problem we will be learning about how to write a repeating decimal as a rational number using geometric series without a calculator. We know that  these problems are infinite which means they go on forever. we need to solve out the problem thoroughly and make sure that we make no mistakes.

Please pay special attention to when you write your decimals as fractions, make sure you have the correct denominator. Also do not forget to reduce the fraction you get as your answer, you must reduce!  If there is a number in front of the repeating decimal remember that you cannot forget to add that to get your final answer!

Fibonacci Beauty Ratio Blog Post

Jennifer Bustos 
Foot to Navel: 95cm      Navel to top of Head: 59cm    ratio: 95cm/59cm = 1.61      Average:
Navel to Chin: 41cm     Chin to top of Head: 21cm      ratio: 41cm/21cm = 1.95        1.58
Knee to Navel: 52cm     Foot to Knee: 44cm                ratio: 52cm/44cm = 1.18

Cynthia Alvarado 
Foot to Navel: 100cm    Navel to top of Head: 65cm    ratio: 100cm/65cm = 1.53    Average:
Navel to Chin: 44cm     Chin to top of Head: 23cm      ratio: 44cm/23cm = 1.91         1.54
Knee to Navel: 57cm     Foot to Knee: 48cm                ratio: 53cm/46cm = 1.18 

Edna Ruiz 
Foot to Navel: 93cm      Navel to top of Head: 60cm    ratio: 93cm/60cm = 1.55      Average:
Navel to Chin: 39cm     Chin to top of Head: 22cm      ratio: 39cm/22cm = 1.77         1.49
Knee to Navel: 53cm     Foot to Knee: 46cm                ratio: 53cm/46cm = 1.15

Selene Cruz 
Foot to Navel: 99cm      Navel to top of Head: 64cm     ratio: 99cm/64cm = 1.54      Average: 
Navel to Chin: 43cm      Chin to top of Head: 20 cm     ratio: 43cm/20cm = 2.15         1.61      ★
Knee to Navel: 55cm     Foot to Knee: 48cm                 ratio: 55cm/48cm = 1.14

Brianna Aranda
Foot to Navel: 100cm    Navel to top of Head: 58cm    ratio: 100cm/58cm = 1.72    Average:
Navel to Chin: 39cm     Chin to top of Head: 21cm      ratio: 39cm/21cm = 1.85          1.44
Knee to Navel: 60cm     Foot to Knee: 46cm                ratio: 60cm/46cm = 1.30 


Selene Cruz is the most "beautiful" because of the fibonacci number sequence. In the Fibonacci number sequence or the "Golden Ratio" the number sequence leads to the golden ratio "phi" which equals 1.618033... Fibonacci states that our mathematical beauty depends on ratio. Selene's average was really close there for she is the most "beautiful"

I agree that Selene is mathematically Beautiful :) Her measurements added up to the golden ratio, but that doesn't mean that all the other girls aren't either they're all mathematically Beautiful in my eyes!

   Φ 

"phi"

Fibonacci Haiku: Christmas

http://www.leavenworth.org/files/xmas-lighting.jpg

Christmas 

Decorations

Lights Everywhere 

Family Coming Together 

Loud Laughter Filling the Room

Big Gifts Being Exchanged as well as smiles  

WPP#2 Unit A Concept 7: Profit, Revenue & Cost

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WPP #1 Unit A Concept 6: Linear Models

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