6.5 Classwork Answers & Proof

You can find answers to the classwork here.

If you didn't write down the prompt for the proof, you can find that here.

Also, several of you have not made up the Ch 6 quiz.  I am grading those over the weekend.  If you do not have it taken care of by then, you will not be able to make it up.  I will be here Wednesday after school to allow make-ups.  If you are unable to attend, you need to schedule a separate time to make-up the quiz ASAP.

I-Days Work

If you missed class due to I-Days (or for any other reason this Thursday and Friday), you can find a link to the work here: HERE!

This should be completed by Monday.

There is also a book assignment on Friday.  Check the calendar!

Golden Spiral Coloring Book

This is, in a word, awesome.  It's a hand drawn coloring book for adults!  Hand drawn!  No computers were used in the creation of the drawings.

GOLDENRATIOCOLORINGBOOKHAND DRAWN BYRAFAEL ARAUJO

Sequences & Series Project Information

Sequences and Series and
Recurrence Relations Project

Patterns are everywhere. Some are manmade while others are natural. The Golden ratio is a common example of the natural pattern that exists in the world. It is proof that math is not created but inherent in nature. Throughout history, the Golden Ratio and other patterns have been used in art, architecture, and music.  Your final work must be submitted by the beginning of class on Monday, 3/20.  Everyone should be turning in an 11x17 poster with their final work.  If you have any questions, please email me.

Golden Ratio or General Pattern

This project is comprised of two parts as described below.

Part 1

Discover the Golden ratio and other patterns on your own. Use the world around you as inspiration! Look for the Golden Ratio, Fibonacci Sequence, or other patterns in the surrounding art, architecture, music, everyday objects, or in nature (even in humans!). Provide an image, photograph of the object, or a copy of the score and a 4-5 sentence paragraph explaining how your discovery incorporates the pattern.

Part 2

You have seen several examples of the Golden Ratio and other patterns in the fine arts. Create a work of art (drawing, musical composition, etc) that incorporates the Golden Ratio, Fibonacci Sequence, or another pattern of your choosing on an 11x17 poster. Then, provide a 4-5 sentence paragraph explaining how your work of art incorporates the pattern.

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By the end of class on Wednesday, you should have all of the content you need in order to complete the requirements of the project.  You should spend Thursday creating your poster and making sure it is up to par aesthetically.  Projects are due on Monday, at the beginning of class.  You may submit your project any time prior to that.

Rubrics:

Golden Ratio Project Points Earned Points Possible Part 1 Explanation 10 Originality of discovery 5 Part 2 Explanation 10 Originality/Creativity 5 Neatness 5 Attractiveness 5 Total: 40

Proofs by Points - Proving Parallelograms

You can find the prompts for the proofs here.  If you were absent today, I am expecting that you have these ready to submit to me tomorrow.

Also - tomorrow we have a quiz over 6.1-6.3.  This quiz will focus mostly on problems like we have seen in the homework assignments.  In addition, there will be a couple of proofs.

Sequences & Series Review Solutions

You can find solutions to the review here!

Rise of the Quick Quiz

As we move further into our investigation of polygons, it becomes increasingly important for everyone to have memorized the definitions and theorems that we will be using to solve problems and write proofs.  To aid in this, we will be having small, unannounced quizzes, henceforth known as the quick quiz!  Quick quizzes will be factual in nature.  They will be between 5-10 points in general and will only take a few minutes to complete.  The problems will not require calculation.

We will still have larger announced quizzes (like the one on Wednesday 3/15).  For a reference, those quizzes tend to be between 30-40 points.