Answers to the Understanding Test By your favorite Seminar Teacher.

Answers to the Answers to the Understanding TestUnderstanding Test

By your favorite Seminar By your favorite Seminar TeacherTeacher

I gave you the test last time to see I gave you the test last time to see what you understand about some of what you understand about some of the topics we’ve covered in Seminar the topics we’ve covered in Seminar 11stst quarter. If you got a question quarter. If you got a question wrong, I circled the number. wrong, I circled the number.

Now I want you to correct some of Now I want you to correct some of your incorrect answers. Pick five of your incorrect answers. Pick five of the questions you got wrong, and the questions you got wrong, and correct them. If you got less than 5 correct them. If you got less than 5 wrong, just correct the ones you got wrong, just correct the ones you got wrong. Remember to use complete wrong. Remember to use complete sentences.sentences.

Make certain you understand all of the Make certain you understand all of the questions you got wrong. However, questions you got wrong. However, you only have to rewrite five.you only have to rewrite five.

Write your corrected answers in the Write your corrected answers in the back of your journal, immediately back of your journal, immediately after the assignment you wrote last after the assignment you wrote last week about the math posters. week about the math posters.

Please make certain you write the Please make certain you write the number of the question you are number of the question you are rewriting.rewriting.

But first we must start with a hink But first we must start with a hink pink. (I stole this one from a pink. (I stole this one from a student.) A naughty sum is a . . .student.) A naughty sum is a . . .

That’s right – a bad add. That’s right – a bad add. Okay, now down to business.Okay, now down to business.

1. T or F Leonardo Fibonacci learned about numbers like “4, 5, 6” when he 1. T or F Leonardo Fibonacci learned about numbers like “4, 5, 6” when he was in North Africa. Later he returned to Europe and wrote a book called was in North Africa. Later he returned to Europe and wrote a book called Liber Liber

AbaciAbaci that told Europe about these numbers. that told Europe about these numbers.

True. Remember when we read that True. Remember when we read that Leo followed his Dad to Bugia, and Leo followed his Dad to Bugia, and then returned to Europe with then returned to Europe with information about the “new” information about the “new” numbers (like the ones we use numbers (like the ones we use today). In Europe they were still today). In Europe they were still using those crazy Roman numerals using those crazy Roman numerals (I, II, III, IV, V, etc.)(I, II, III, IV, V, etc.)

2. T or F In his book, 2. T or F In his book, Liber AbaciLiber Abaci, Leonardo told people about the Fibonacci , Leonardo told people about the Fibonacci sequence and how it is related to many things in nature.sequence and how it is related to many things in nature.

False. In his book Leo was mainly False. In his book Leo was mainly telling people about the cool new telling people about the cool new numbers like the ones we use today. numbers like the ones we use today. He did mention the bunny problem. He did mention the bunny problem. Later, someone (Mr. Lucas) solved Later, someone (Mr. Lucas) solved the problem and discovered that the the problem and discovered that the answer was a cool number sequence answer was a cool number sequence that performed other tricks. Mr. that performed other tricks. Mr. Lucas decided to name the sequence Lucas decided to name the sequence after Fibonacci.after Fibonacci.

3. What do Fibo numbers have to do with sunflowers?3. What do Fibo numbers have to do with sunflowers?

The Fibo’s are in the number of spirals The Fibo’s are in the number of spirals in the seed arrangement. If you in the seed arrangement. If you could count the spirals in most (not could count the spirals in most (not all) sunflowers, you would find that all) sunflowers, you would find that the number is a Fibo number! In the number is a Fibo number! In fact, the spirals on a sunflower go fact, the spirals on a sunflower go both ways. Both of these numbers of both ways. Both of these numbers of spirals are consecutive Fibo spirals are consecutive Fibo numbers. Weird-smeird!numbers. Weird-smeird!

4. Where can you find the Fibo 4. Where can you find the Fibo numbers in pine cones?numbers in pine cones?

If you could count the spirals (actually If you could count the spirals (actually helices) of the scales on most helices) of the scales on most pinecones, you’d get a Fibo number.pinecones, you’d get a Fibo number.

5. How are Fibo numbers and 5. How are Fibo numbers and bunnies related?bunnies related?

Remember when we made the chart of Remember when we made the chart of bunnies. We asked what would happen if bunnies. We asked what would happen if we put two bunnies in a walled area and we put two bunnies in a walled area and each month the adult bunnies had a pair each month the adult bunnies had a pair of babies? (That’s what Mr. F. asked in his of babies? (That’s what Mr. F. asked in his book book Liber AbaciLiber Abaci. Well, we found out that . Well, we found out that the numbers are always Fibo numbers! the numbers are always Fibo numbers! So, Fibo numbers are found in the way So, Fibo numbers are found in the way bunnies reproduce. (Don’t be fooled – this bunnies reproduce. (Don’t be fooled – this would never happen in real life.)would never happen in real life.)

6. How are Fibo numbers and 6. How are Fibo numbers and bees related? bees related?

This is like question 5, except we find This is like question 5, except we find Fibo numbers in the ancestors of a Fibo numbers in the ancestors of a male bee. Remember Bob the Bee male bee. Remember Bob the Bee and his family tree?and his family tree?

7. Would you rather have 2 X 3 7. Would you rather have 2 X 3 dollars in your pocket or 2dollars in your pocket or 233 dollars dollars

in your pocket?in your pocket?The answer is 2The answer is 233. They are not the . They are not the

same.same.

2 X 3 = 62 X 3 = 6

223 3 = 2 X 2 X 2 = 8 = 2 X 2 X 2 = 8

8. What is one thing you have 8. What is one thing you have learned about bees?learned about bees?

I’m skipping this one. Anything that I’m skipping this one. Anything that you learned will work – just needs to you learned will work – just needs to be related to bees.be related to bees.

9. What is the difference between 9. What is the difference between a spiral and a helix?a spiral and a helix?

A spiral is two dimensional. A spiral is two dimensional.

A helix is three dimensional.A helix is three dimensional.Remember my dog, Felix?Remember my dog, Felix?He licked the spiral and it He licked the spiral and it became a helix. became a helix.

10. The Fibo numbers are arrogant because they are always bragging about 10. The Fibo numbers are arrogant because they are always bragging about _______________________________________________________________._______________________________________________________________.

They are always bragging about all the They are always bragging about all the tricks they play. Remember, you tricks they play. Remember, you earn a pizza party for the class if you earn a pizza party for the class if you find a situation where the Fibo’s find a situation where the Fibo’s don’t do what they say they can do! don’t do what they say they can do!

11. If you were to look up the word “seminar” in a dictionary, you would find that it 11. If you were to look up the word “seminar” in a dictionary, you would find that it means: means:

____________________________________________________________________________________________________________________________________

Seminar is actually a synonym for Seminar is actually a synonym for “class.” Or another answer is a “class.” Or another answer is a group of people learning or studying group of people learning or studying or talking about the same thing. or talking about the same thing. Occasionally it means an advanced Occasionally it means an advanced group studying something.group studying something.

12. How were you chosen for Seminar? ______________________________________12. How were you chosen for Seminar? ______________________________________

You are in Seminar because some time You are in Seminar because some time you got a very high score on a test you got a very high score on a test that shows how well you think, or that shows how well you think, or very high scores on both your MAP very high scores on both your MAP reading and math tests.reading and math tests.

You were nominated, but that wasn’t You were nominated, but that wasn’t enough. enough.

13. Why did Ms. Brackley show 13. Why did Ms. Brackley show you Powers of 10?you Powers of 10?

I showed you Powers of 10 because it I showed you Powers of 10 because it helps you “see” exponents. In the helps you “see” exponents. In the movie we moved away from the movie we moved away from the picnic (or inside the man) by a power picnic (or inside the man) by a power (or exponent) of 10 each time (10(or exponent) of 10 each time (101 1

meters, 10meters, 102 2 meters, etc.) It also meters, etc.) It also supports my theory that all supports my theory that all knowledge is related. knowledge is related.

The EndThe End

Okay, this is really one of my all time Okay, this is really one of my all time great hink pinks.great hink pinks.

Suppose you take a word that means Suppose you take a word that means the same thing as another word. the same thing as another word. Then you sprinkle a Christmas spice Then you sprinkle a Christmas spice on it. What is it called?on it. What is it called?

Synonym CinnamonSynonym Cinnamon

Really the end (but actually there is Really the end (but actually there is just one more slide).just one more slide).

Remember, you are rewriting five of Remember, you are rewriting five of your answers to make them correct. your answers to make them correct.

Really and truly The End!Really and truly The End!

Please always see me if you are lost or Please always see me if you are lost or confused. Real learning is usually confused. Real learning is usually confusing in the beginning, but confusing in the beginning, but finally you get to a point where you finally you get to a point where you understand what is going on – and it understand what is going on – and it is my job to help you get there.is my job to help you get there.