Jives' Desktop Extravaganza
Jives' Desktop Extravaganza
Wow Jives those were all really nice. Now gotta go back thourgh and pick out my favorite ones.
"Girls are crazy! I'm not ever getting married, I can make my own sandwiches!"
my son
my son
Jives' Desktop Extravaganza
This newbie thanks you Jives for allowing me to view your treasures. Grin. I think my favourites are the Fall Colors, the Californian Wildflowers and the Escher Sailboats. Do you know Tinker air base? I've a friend in OKC who lives just by that. Lots of aussies get transferred there too, apparently. I can see you churning up a good Oklahoman lake. Grin. I've seen a bit of New Mexico. Santa Fe and Taos, Santa Rosa, Tucumcari. I was staying at the latter, and got up early one morning to go on my usual run - got back and found a local gas station which did coffee and told the bloke there that I was running early across country so as to avoid rattlesnakes in the cactus. I thought they only came out when it got hot.... One lives and learns. Anyway, no rattler got me that time. Maybe I was just too fast for them!!
"Life is too short to ski with ugly men"
Jives' Desktop Extravaganza
Jives wrote: Here is a picture of some California wildflowers!
That is SO beautiful...lucky you to have scenery like that around you
That is SO beautiful...lucky you to have scenery like that around you
A smile is a window on your face to show your heart is home
Jives' Desktop Extravaganza
Wonderful pictures Jives. Thanks for sharing. I bet there a several flying round the world right now and ending up on 'who know's whos' desktops.....pop back for mine later
Having looked at them all, the wild flowers and the sunset stand out for me.
Having looked at them all, the wild flowers and the sunset stand out for me.
A smile is a window on your face to show your heart is home
Jives' Desktop Extravaganza
These are fantastic!!
I cant use them though, as my laptop is widescreen and they get all stretched, and it spoils them
I cant use them though, as my laptop is widescreen and they get all stretched, and it spoils them
"Before criticising someone, always walk a mile in their shoes. That way, if they get angry or violent, they are a mile away and haven't got any shoes."
Jives' Desktop Extravaganza
Awww...I'm sorry to hear that, Hazel. Oh well, some might look Ok, like the flag or the sunset.
All the world's a stage and the men and women merely players...Shakespeare
Jives' Desktop Extravaganza
Jives wrote: Here is a picture of some California wildflowers!
That is a beautiful sight! Wow.
That is a beautiful sight! Wow.
Jives' Desktop Extravaganza
G'day Okie -- yep that's the one that first grabbed my eye too !! Awesome.
"Life is too short to ski with ugly men"
Jives' Desktop Extravaganza
From Jon St. Ives:
Here is my entire lesson plan for the Pythagorean Theorem. Please feel free to use this in your class room, however I retain the rights to any use and the lesson may not be altered in any way. Please give me credit if you use it. I would greatly appreciate any feedback about the pros and cons of this lesson. I am always trying to improve my teaching and looking for new and innovative ways to
present material to my students.
Have fun! (I always dress up in a Toga and we fight this Battle around a giant triangle of masking tape in my room with foam rubber swords!)
[Image] I have developed an innovative method of teaching the Pythagorean
Theorem. My method combines the traditional formula with a full blown
re-enactment of a designed short story about the "Battle of Pythagorus". The
students combine theatrical and drama elements with mathematics to tell the
story of a young scholar called to save his country with his newly developed
mathematical formula. Items in the script are referred to using mnemonic
devices, such as the "Aay river" signifying the A side of a right triangle.
Traditional techniques such as worksheets and vocabulary strategies support
the drama of the actual re-enactment.
I have been using this method as a way to make a rather dry lesson extremely
fun and interesting for the last two years and have achieved incredible
success in the retention of the material by the students.( When it's fun and
entertaining, it's just easier to remember!)
I originated this method and wrote the short story myself. The combination
of the active participation and the directed reading/thinking assignments is
a departure from the normal repetitive drill approach of mathematics. Very
rarely is reading included in the math process, although it should have
major emphasis. To address this, I have also included several vocabulary
lessons of my own design.
In addition to the six tests that have included the formula in the
questions, many of the problems in Geometry require that the Pythagorean
Formula be used as a step towards finding the final answer. Students who
have been exposed to this approach consistently do well on test problems
including the formula. Over 90% of the students in the class have retained
the formula and used it to correctly answer questions using this formula.
Also, the conceptual leap from slant height to the Pythagorean Formula is
much easier for the students. (The ideas are the same ,but slant height has
to do with three dimensions instead of two.)
The exact numbers are a mean of 82.5% for students who did not act
out the story opposed to a mean test average of 93% for those who
did. This shows an increase of 11% in comprehension and ability.
I have enclosed the entire lesson plan. Also included are the worksheets and
vocabulary lessons to go along with the project.
Since the "Battle of Pythagorus" method concerns a lesson that is already
being taught in school classrooms, implementation will be very simple. The
materials only need to be replicated and distributed to the appropriate
teachers and classrooms. Materials needed for the project are common to all
schools in the District and are accessible to all teachers concerned.
Grade levels:
This lesson can be taught to either Algebra or Geometry classes. Since
this lesson is very basic and is the same in all standard textbooks it
may be used with any existing lesson plan or book. It will also work at
any school, except for possibly an alternative behavioral problem
class. The method does involve physical activity.
Students affected:
In our district alone, close to 4,200 students could be exposed to this
method.
Current Implementation:
This method is not currently being implemented in other classrooms.
Teacher Training:
Since the method uses techniques that are familiar to teachers in new
and different ways, very little training would be required. The
training could be recieved at a formal seminar during regularly
scheduled In-Service Training days.
Time Line:
The method could be distributed within a month to all existing
classrooms and teachers.
[Image]
The Battle of Pythagorus
by: Jon St. Ives
READING ACTIVITY:
Designed short story:
The Battle of Hypotenuse
Long ago,Two thousand three hundred years ago to be exact, a young man
very much like you, sat in a room very much like this one.(except
without electricity and carpeting!) His name was Pythagorus.
In those days, there were very few choices of occupations. A young man
could join the army;(a good career, but a short one for some men!); he
could be a farmer;( you ate well, but it was very boring); or a young
man could be a scholar. The scholars had the best life because the
state looked out for them and fed them. Pythagorus was in the army, but
he wanted to be a scholar! He thought,
"Then all I'll have to do is sit around all day thinking and
inventing! Won't that be the life!"
About this time, the neighboring army of Geometrica, across the Aay
river, decided to invade Pythagorus' home town of Hypotenuse. The
Hypotenusian army, warned of the planned invasion by it's spies,
prepared to defend the South pass. Even though they were outnumbered 10
to 1, the Hypotenusian commander was confident they could hold the
pass. He told his troops,
"It's a narrow pass. The Geometricans will have to come at us
in a straight line. That will give us a tremendous
advantage!"
. The battle of the South pass was a vicious and horrible one!! When
the battle smoke had cleared, the Geometrican army had withdrawn,
realizing that they could not take the pass. Instead ,they decided to
backtrack to the Aay river, cross at the North bridge and invade
Hypotenuse from around the Cie desert to the North.
The Hypotenusian commander was very worried. He cried,
"There is no way we can catch them, we do not have the
resources to cross the Cie desert! Hypotenuse is doomed!!"
Now, our young hero Pythagorus had been in the battle and he had an
idea. He had been working with the recently discovered "three-sided
figure" which everyone was now calling the Right Triangle. He was positive
that there was a a relationship between the legs (the two short sides
of the triangle) and the hypotenuse (the longest side). He tried adding
the sides first, but that didn't work. Then he tried dividing the two
sides, but that didn't work either. Finally, he tried squaring
(multiplying a number by itself). Eureka! Cool, man!! When he squared
the lengths of the two short sides and added them together, the answer
was the same as the length of the longest side squared. He wrote down
his theorum in this way:
A squared+ B squared = C squared
Where A and B are the two legs and C is the hypotenuse.
Pythagorus had his breakthrough! Now all he needed was a chance to use
it and prove himself. So, Pythagorus went to the commander of his army
with his idea.
"I can calculate the distance across the Cie desert from our
position, Sir!", stated Pythagorus.
"How is this possible?", his commander asked.
"Through the miracle of the new mathhematics formula I have
just invented!", replied Pythagorus.
"Allow me to explain, Sir. The distance from the South pass
to the Aay river is three miles and the distance from the
South bridge to the North bridge is four miles. First, I will
square the distances of the short sides and add them
together. Then, I'll take the square root of the answer and
we will know the distance across the Cie desert!"
"If we can get to the North bridge first, we can hold off the
invasion and save Hypotenuse!", his commander said
thoughtfully.,br> "Well?!, what are you waiting for? Do the
math!"
Pythagorus added the square of three (nine) to the square of four
(sixteen) and got twenty five.
"The square root of twenty five is five since five times five
is twenty five," calculated Pythagorus, "so the Cie desert
must be five miles across!"
"By jove! We may be able to make it that far, if we use half
our force and take all the provisions that we can carry!"
exclaimed his commander!
So the Hypotenusian army cut straight across the desert and reached the
North bridge first! Again,they were able to hold off the Geometrican
army with a small force and a desparate battle.Finally, Hypotenuse was
saved!
When they returned, Pythagorus was a hero and was rewarded with the
scholarship that he had always wanted. Thanks to Pythagorus, many
engineering feats of today,including the design of many of our bridges
and skyscrapers, are possible. That is why his theory became the most
famous theorum in all of history!
[Image]
ANTICIPATION STEP:
Prereading activity #1:
"Two thousand three hundred years is a very long time! That's
Twenty three centuries! It's Two hundred and thirty decades!!
Wouldn't you like to be remembered for that amount of time? Well,
a young lad just like you invented a theorum that long ago, and we
still remember him and use his formula today! Maybe someday you'll
invent something important. If He could do it so could you!
[Image]
VOCABULARY STEP:
Prereading activities:
Vocabulary strategies for Pythagorean Theorum lesson
The following words have been identified as possible trouble spots ,due
to the fact that they can be classified as obsolete, colloquial, or
scientific and technical terms:
* leg
* squared
* right triangle
* angle
* theorum
* hypotenuse
* scholars
* tremendous
* square root
* vicious
* confident
* degrees
* Eureka
* backtrack
Catagory 1:
Obsolete words-
Eureka- This word is not in the student's listening vocabulary. The
teacher should equate this word with it's modern day equivalents such
as "Holy smokes", and "Ai Carumba!"
Backtrack- This word is not familiar, although students know the
concept. Since the concept dates back to the days of animal tracking,
bring Wild West examples into the lesson.
Scholars- Teach the meaning definition of this word. Students will see
this word often in the future. Stress should be placed on the fact that
this was the original use of the word. The root word of "school" can be
introduced as a place where people go to think.
Catagory 2:
Descriptive colloqial words-
These words are probably not in the vocabulary of an immature
reader.
Tremendous- Use examples dealing with something motivational to the
students. "I had a tremendous amount of steak to eat last night." or
"That was a tremendous amount of money."
Vicious- vivid word pictures can be painted with this adjective. " The
vicious hound chased the young girl", or The vicious football game went
on, as player after player was injured."
Catagory 3:
Scientific and technical terms-
These terms shold be defined very precisely in the terminology of
previously learned terms.
Legs- the two shorter sides of a three-sided figure
Hypotenuse- the longest side of a three-sided figure
Angle- the corner formed when two rays meet(from previous lesson)
Degree- a unit of measure for angles. There are 360 degrees in a
circle.
Right triangle- a three sided figure containing three angles, one of
which measures 90 degrees.
Squared- multiplying a number by itself. This is equal to raising the
number to the second power.
Square root- the opposite of squaring. In this process, a number is
separated into the two identical factors known as "roots" Analogy: Just
as a tree comes from the roots, so does the squared number come from
the square roots.
[Image]
Vocabulary Worksheet Number One
Unscramble the sentences:
Rewrite using the correct bold word.
----------------------------------------------------------------------------
* The athletic lady had a very well developed hypotenuse
----------------------------------------------------------------------------
* The longest side of the triangle was the Eureka.
----------------------------------------------------------------------------
* When the miner struck gold he shouted, "Vicious!"
----------------------------------------------------------------------------
* The legs dog attacked the innocent child.
----------------------------------------------------------------------------
* The robbers got away with a theorum amount of money.
----------------------------------------------------------------------------
* A mathematically proven concept is a tremendous.
----------------------------------------------------------------------------
MATCHING:
Match the following definitions to the proper vocabulary words.
Definition Vocabulary Word
1. The longest side of a triangle________________ a. legs
2. The two short sides of a triangle______________ b. triangle
3. The unit of measure of an angle______________ c. squared
4. A three-sided figure_______________________ d. backtrack
5. A number times itself______________________ e. square roots
6. The opposite of squaring___________________ f. hypotenuse
7. People who think for a livin_________________ g. Scholars
8. to go over an area twice____________________ h. degree
[Image]
Vocabulary Worksheet Number Two
Think of all the words that are similar to the word listed below:
Insert word of choice
Write a sentence about three of the words. Try to pick exciting and
interesting examples!
1. -----------------------------------------------------------------------
2. -----------------------------------------------------------------------
3. -----------------------------------------------------------------------
What three words would be the opposite of "vicious"?
1. ----------
2. ----------
3. ----------
[Image]
Worksheet Number Three
List fifteen modern words that could be used instead of the word:
EUREKA!
1. ________________
2. ________________
3. ________________
4. ________________
5. ________________
6. ________________
7. ________________
8. ________________
9. ________________
10. ________________
11. ________________
12. ________________
13. ________________
14. ________________
15. ________________
[Image]
Structured Overview
CONCEPT 1
A triangle has three sides
CONCEPT 2
A right angle equals ninety degrees
CONCEPT 3
A right triangle is a triangle with one ninety degree angle
CONCEPT 4
The legs of a triangle are the two shortest sides (designated as A and
B)
CONCEPT 5
The hypotenuse of a triangle is the longest side (designated as C)
CONCEPT 6
Squaring is the process of multiplying a number by itself
example- 9x9=81
CONCEPT 7
The square root of a number is one of two identical factors of the
number
example- 49 =7
MAIN FORMULA (Pythagorean Theorum)
A + B = C
The sum of the lengths of the two short sides squared equals the
longest side squared
[Image]
Distribute Vocabulary study guide:
Review and learn each vocbulary word(See vocabulary handout). This will be
followed by squaring practice, in the form of a prereading five question
quiz:
QUIZ 1
1. What is the product of 5 times 5?
2. What is the square of 5?
3. Name one triangle that you see every day!
4. What is the name of the long side of a right triangle?
5. What is the name of the short side of a triangle ?
The first three questions are designed to show the relationship
between multiplication and squaring as a review for students. The
other two questions talk about the parts of a triangle. An added
strategy would be to ask the students which side of their triangle
would be the hypotenuse.
[Image]
Teacher Directed Exercises
1. Would Pythagorus' army have made it to the North bridge in this example?
2. How about this one?
[Image]
Unit Test
(Post-reading activity#1)
1. What was Pythagorus' great idea?
2. Why did Pythagorus want to be a scholar?
3. What people of today are like the scholars of long ago?
4. Critical thinking: Would Pythagorus' theorum work with a non-right
triangle? Why or why not?
5. If the length of the legs of the "Battle of Hypotenuse" triangle were
six and eight, and Pythagorus' army could only cross ten miles of
desert maximum, would they be able to cross?(yes or no)
[Image]
Denoument
(post reading activity #2)
The students will act out the "battle of Hypotenuse" on a triangle
of masking tape placed on the floor of the classroom.
[Image]
Vocabulary Handout
Key Terms
1. EUREKA-
o An exclamation of joy!! example: The miner shouted "Eureka!", when
he struck gold.
2. TREMENDOUS-
o A very large amount. example: That was a tremendous load of dirt.
3. BACKTRACK-
o To retrace an area. example: The climber backtracked along the
trail.
4. ANGLE-
o A figure formed by the meeting of two rays.
5. TRIANGLE-
o A three-sided closed figure containing three angles.
6. RIGHT TRIANGLE-
o A triangle where one of the three angles measures ninety degrees.
7. DEGREES-
o The unit of measure of angles and circles. There are 360 degrees
in a circle.
8. LEGS-
o The two shorter sides of a triangle
9. HYPOTENUSE-
o The longest side of a right triangle.
10. SQUARED-
o The process of multiplying a number by itself. example: 1x1=1,
2x2=4, 3x3=9, etc. . .
11. SQUARE ROOT-
o The opposite of the squaring function
12. CONFIDENT-
o very sure. example: I was confident you could learn!!
13. SCHOLAR-
o In ancient terms, a man who studied all day for a living. This is
where the word school came from.
14. THEORUM-
o A mathematically proven formula.
Bibliography
1. Eric Hobson; R. Baird Shuman; NEA Professional Library; "Reading And
Writing In High Schools: A Whole Language Approach"; 1990
2. Irene M. Reiter, Ph.D; George D. Spache, Ph.D; Polaski Company, Inc;
"Why Can't They Read It?; How To Teach Reading In Content Areas", 1974
3. Marian J. Tonjes, Miles V. Zintz; WCB Group; Teaching
Reading,Thinking,and Study Skills; 1981; Pg. xviii
4. Marian J. Tonjes, Miles V. Zintz; WCB Group; Teaching
Reading,Thinking,and Study Skills; 1981; Pg. xiii
Super lesson plan...I loved it. Thanxx Jon.
Here is my entire lesson plan for the Pythagorean Theorem. Please feel free to use this in your class room, however I retain the rights to any use and the lesson may not be altered in any way. Please give me credit if you use it. I would greatly appreciate any feedback about the pros and cons of this lesson. I am always trying to improve my teaching and looking for new and innovative ways to
present material to my students.
Have fun! (I always dress up in a Toga and we fight this Battle around a giant triangle of masking tape in my room with foam rubber swords!)
[Image] I have developed an innovative method of teaching the Pythagorean
Theorem. My method combines the traditional formula with a full blown
re-enactment of a designed short story about the "Battle of Pythagorus". The
students combine theatrical and drama elements with mathematics to tell the
story of a young scholar called to save his country with his newly developed
mathematical formula. Items in the script are referred to using mnemonic
devices, such as the "Aay river" signifying the A side of a right triangle.
Traditional techniques such as worksheets and vocabulary strategies support
the drama of the actual re-enactment.
I have been using this method as a way to make a rather dry lesson extremely
fun and interesting for the last two years and have achieved incredible
success in the retention of the material by the students.( When it's fun and
entertaining, it's just easier to remember!)
I originated this method and wrote the short story myself. The combination
of the active participation and the directed reading/thinking assignments is
a departure from the normal repetitive drill approach of mathematics. Very
rarely is reading included in the math process, although it should have
major emphasis. To address this, I have also included several vocabulary
lessons of my own design.
In addition to the six tests that have included the formula in the
questions, many of the problems in Geometry require that the Pythagorean
Formula be used as a step towards finding the final answer. Students who
have been exposed to this approach consistently do well on test problems
including the formula. Over 90% of the students in the class have retained
the formula and used it to correctly answer questions using this formula.
Also, the conceptual leap from slant height to the Pythagorean Formula is
much easier for the students. (The ideas are the same ,but slant height has
to do with three dimensions instead of two.)
The exact numbers are a mean of 82.5% for students who did not act
out the story opposed to a mean test average of 93% for those who
did. This shows an increase of 11% in comprehension and ability.
I have enclosed the entire lesson plan. Also included are the worksheets and
vocabulary lessons to go along with the project.
Since the "Battle of Pythagorus" method concerns a lesson that is already
being taught in school classrooms, implementation will be very simple. The
materials only need to be replicated and distributed to the appropriate
teachers and classrooms. Materials needed for the project are common to all
schools in the District and are accessible to all teachers concerned.
Grade levels:
This lesson can be taught to either Algebra or Geometry classes. Since
this lesson is very basic and is the same in all standard textbooks it
may be used with any existing lesson plan or book. It will also work at
any school, except for possibly an alternative behavioral problem
class. The method does involve physical activity.
Students affected:
In our district alone, close to 4,200 students could be exposed to this
method.
Current Implementation:
This method is not currently being implemented in other classrooms.
Teacher Training:
Since the method uses techniques that are familiar to teachers in new
and different ways, very little training would be required. The
training could be recieved at a formal seminar during regularly
scheduled In-Service Training days.
Time Line:
The method could be distributed within a month to all existing
classrooms and teachers.
[Image]
The Battle of Pythagorus
by: Jon St. Ives
READING ACTIVITY:
Designed short story:
The Battle of Hypotenuse
Long ago,Two thousand three hundred years ago to be exact, a young man
very much like you, sat in a room very much like this one.(except
without electricity and carpeting!) His name was Pythagorus.
In those days, there were very few choices of occupations. A young man
could join the army;(a good career, but a short one for some men!); he
could be a farmer;( you ate well, but it was very boring); or a young
man could be a scholar. The scholars had the best life because the
state looked out for them and fed them. Pythagorus was in the army, but
he wanted to be a scholar! He thought,
"Then all I'll have to do is sit around all day thinking and
inventing! Won't that be the life!"
About this time, the neighboring army of Geometrica, across the Aay
river, decided to invade Pythagorus' home town of Hypotenuse. The
Hypotenusian army, warned of the planned invasion by it's spies,
prepared to defend the South pass. Even though they were outnumbered 10
to 1, the Hypotenusian commander was confident they could hold the
pass. He told his troops,
"It's a narrow pass. The Geometricans will have to come at us
in a straight line. That will give us a tremendous
advantage!"
. The battle of the South pass was a vicious and horrible one!! When
the battle smoke had cleared, the Geometrican army had withdrawn,
realizing that they could not take the pass. Instead ,they decided to
backtrack to the Aay river, cross at the North bridge and invade
Hypotenuse from around the Cie desert to the North.
The Hypotenusian commander was very worried. He cried,
"There is no way we can catch them, we do not have the
resources to cross the Cie desert! Hypotenuse is doomed!!"
Now, our young hero Pythagorus had been in the battle and he had an
idea. He had been working with the recently discovered "three-sided
figure" which everyone was now calling the Right Triangle. He was positive
that there was a a relationship between the legs (the two short sides
of the triangle) and the hypotenuse (the longest side). He tried adding
the sides first, but that didn't work. Then he tried dividing the two
sides, but that didn't work either. Finally, he tried squaring
(multiplying a number by itself). Eureka! Cool, man!! When he squared
the lengths of the two short sides and added them together, the answer
was the same as the length of the longest side squared. He wrote down
his theorum in this way:
A squared+ B squared = C squared
Where A and B are the two legs and C is the hypotenuse.
Pythagorus had his breakthrough! Now all he needed was a chance to use
it and prove himself. So, Pythagorus went to the commander of his army
with his idea.
"I can calculate the distance across the Cie desert from our
position, Sir!", stated Pythagorus.
"How is this possible?", his commander asked.
"Through the miracle of the new mathhematics formula I have
just invented!", replied Pythagorus.
"Allow me to explain, Sir. The distance from the South pass
to the Aay river is three miles and the distance from the
South bridge to the North bridge is four miles. First, I will
square the distances of the short sides and add them
together. Then, I'll take the square root of the answer and
we will know the distance across the Cie desert!"
"If we can get to the North bridge first, we can hold off the
invasion and save Hypotenuse!", his commander said
thoughtfully.,br> "Well?!, what are you waiting for? Do the
math!"
Pythagorus added the square of three (nine) to the square of four
(sixteen) and got twenty five.
"The square root of twenty five is five since five times five
is twenty five," calculated Pythagorus, "so the Cie desert
must be five miles across!"
"By jove! We may be able to make it that far, if we use half
our force and take all the provisions that we can carry!"
exclaimed his commander!
So the Hypotenusian army cut straight across the desert and reached the
North bridge first! Again,they were able to hold off the Geometrican
army with a small force and a desparate battle.Finally, Hypotenuse was
saved!
When they returned, Pythagorus was a hero and was rewarded with the
scholarship that he had always wanted. Thanks to Pythagorus, many
engineering feats of today,including the design of many of our bridges
and skyscrapers, are possible. That is why his theory became the most
famous theorum in all of history!
[Image]
ANTICIPATION STEP:
Prereading activity #1:
"Two thousand three hundred years is a very long time! That's
Twenty three centuries! It's Two hundred and thirty decades!!
Wouldn't you like to be remembered for that amount of time? Well,
a young lad just like you invented a theorum that long ago, and we
still remember him and use his formula today! Maybe someday you'll
invent something important. If He could do it so could you!
[Image]
VOCABULARY STEP:
Prereading activities:
Vocabulary strategies for Pythagorean Theorum lesson
The following words have been identified as possible trouble spots ,due
to the fact that they can be classified as obsolete, colloquial, or
scientific and technical terms:
* leg
* squared
* right triangle
* angle
* theorum
* hypotenuse
* scholars
* tremendous
* square root
* vicious
* confident
* degrees
* Eureka
* backtrack
Catagory 1:
Obsolete words-
Eureka- This word is not in the student's listening vocabulary. The
teacher should equate this word with it's modern day equivalents such
as "Holy smokes", and "Ai Carumba!"
Backtrack- This word is not familiar, although students know the
concept. Since the concept dates back to the days of animal tracking,
bring Wild West examples into the lesson.
Scholars- Teach the meaning definition of this word. Students will see
this word often in the future. Stress should be placed on the fact that
this was the original use of the word. The root word of "school" can be
introduced as a place where people go to think.
Catagory 2:
Descriptive colloqial words-
These words are probably not in the vocabulary of an immature
reader.
Tremendous- Use examples dealing with something motivational to the
students. "I had a tremendous amount of steak to eat last night." or
"That was a tremendous amount of money."
Vicious- vivid word pictures can be painted with this adjective. " The
vicious hound chased the young girl", or The vicious football game went
on, as player after player was injured."
Catagory 3:
Scientific and technical terms-
These terms shold be defined very precisely in the terminology of
previously learned terms.
Legs- the two shorter sides of a three-sided figure
Hypotenuse- the longest side of a three-sided figure
Angle- the corner formed when two rays meet(from previous lesson)
Degree- a unit of measure for angles. There are 360 degrees in a
circle.
Right triangle- a three sided figure containing three angles, one of
which measures 90 degrees.
Squared- multiplying a number by itself. This is equal to raising the
number to the second power.
Square root- the opposite of squaring. In this process, a number is
separated into the two identical factors known as "roots" Analogy: Just
as a tree comes from the roots, so does the squared number come from
the square roots.
[Image]
Vocabulary Worksheet Number One
Unscramble the sentences:
Rewrite using the correct bold word.
----------------------------------------------------------------------------
* The athletic lady had a very well developed hypotenuse
----------------------------------------------------------------------------
* The longest side of the triangle was the Eureka.
----------------------------------------------------------------------------
* When the miner struck gold he shouted, "Vicious!"
----------------------------------------------------------------------------
* The legs dog attacked the innocent child.
----------------------------------------------------------------------------
* The robbers got away with a theorum amount of money.
----------------------------------------------------------------------------
* A mathematically proven concept is a tremendous.
----------------------------------------------------------------------------
MATCHING:
Match the following definitions to the proper vocabulary words.
Definition Vocabulary Word
1. The longest side of a triangle________________ a. legs
2. The two short sides of a triangle______________ b. triangle
3. The unit of measure of an angle______________ c. squared
4. A three-sided figure_______________________ d. backtrack
5. A number times itself______________________ e. square roots
6. The opposite of squaring___________________ f. hypotenuse
7. People who think for a livin_________________ g. Scholars
8. to go over an area twice____________________ h. degree
[Image]
Vocabulary Worksheet Number Two
Think of all the words that are similar to the word listed below:
Insert word of choice
Write a sentence about three of the words. Try to pick exciting and
interesting examples!
1. -----------------------------------------------------------------------
2. -----------------------------------------------------------------------
3. -----------------------------------------------------------------------
What three words would be the opposite of "vicious"?
1. ----------
2. ----------
3. ----------
[Image]
Worksheet Number Three
List fifteen modern words that could be used instead of the word:
EUREKA!
1. ________________
2. ________________
3. ________________
4. ________________
5. ________________
6. ________________
7. ________________
8. ________________
9. ________________
10. ________________
11. ________________
12. ________________
13. ________________
14. ________________
15. ________________
[Image]
Structured Overview
CONCEPT 1
A triangle has three sides
CONCEPT 2
A right angle equals ninety degrees
CONCEPT 3
A right triangle is a triangle with one ninety degree angle
CONCEPT 4
The legs of a triangle are the two shortest sides (designated as A and
B)
CONCEPT 5
The hypotenuse of a triangle is the longest side (designated as C)
CONCEPT 6
Squaring is the process of multiplying a number by itself
example- 9x9=81
CONCEPT 7
The square root of a number is one of two identical factors of the
number
example- 49 =7
MAIN FORMULA (Pythagorean Theorum)
A + B = C
The sum of the lengths of the two short sides squared equals the
longest side squared
[Image]
Distribute Vocabulary study guide:
Review and learn each vocbulary word(See vocabulary handout). This will be
followed by squaring practice, in the form of a prereading five question
quiz:
QUIZ 1
1. What is the product of 5 times 5?
2. What is the square of 5?
3. Name one triangle that you see every day!
4. What is the name of the long side of a right triangle?
5. What is the name of the short side of a triangle ?
The first three questions are designed to show the relationship
between multiplication and squaring as a review for students. The
other two questions talk about the parts of a triangle. An added
strategy would be to ask the students which side of their triangle
would be the hypotenuse.
[Image]
Teacher Directed Exercises
1. Would Pythagorus' army have made it to the North bridge in this example?
2. How about this one?
[Image]
Unit Test
(Post-reading activity#1)
1. What was Pythagorus' great idea?
2. Why did Pythagorus want to be a scholar?
3. What people of today are like the scholars of long ago?
4. Critical thinking: Would Pythagorus' theorum work with a non-right
triangle? Why or why not?
5. If the length of the legs of the "Battle of Hypotenuse" triangle were
six and eight, and Pythagorus' army could only cross ten miles of
desert maximum, would they be able to cross?(yes or no)
[Image]
Denoument
(post reading activity #2)
The students will act out the "battle of Hypotenuse" on a triangle
of masking tape placed on the floor of the classroom.
[Image]
Vocabulary Handout
Key Terms
1. EUREKA-
o An exclamation of joy!! example: The miner shouted "Eureka!", when
he struck gold.
2. TREMENDOUS-
o A very large amount. example: That was a tremendous load of dirt.
3. BACKTRACK-
o To retrace an area. example: The climber backtracked along the
trail.
4. ANGLE-
o A figure formed by the meeting of two rays.
5. TRIANGLE-
o A three-sided closed figure containing three angles.
6. RIGHT TRIANGLE-
o A triangle where one of the three angles measures ninety degrees.
7. DEGREES-
o The unit of measure of angles and circles. There are 360 degrees
in a circle.
8. LEGS-
o The two shorter sides of a triangle
9. HYPOTENUSE-
o The longest side of a right triangle.
10. SQUARED-
o The process of multiplying a number by itself. example: 1x1=1,
2x2=4, 3x3=9, etc. . .
11. SQUARE ROOT-
o The opposite of the squaring function
12. CONFIDENT-
o very sure. example: I was confident you could learn!!
13. SCHOLAR-
o In ancient terms, a man who studied all day for a living. This is
where the word school came from.
14. THEORUM-
o A mathematically proven formula.
Bibliography
1. Eric Hobson; R. Baird Shuman; NEA Professional Library; "Reading And
Writing In High Schools: A Whole Language Approach"; 1990
2. Irene M. Reiter, Ph.D; George D. Spache, Ph.D; Polaski Company, Inc;
"Why Can't They Read It?; How To Teach Reading In Content Areas", 1974
3. Marian J. Tonjes, Miles V. Zintz; WCB Group; Teaching
Reading,Thinking,and Study Skills; 1981; Pg. xviii
4. Marian J. Tonjes, Miles V. Zintz; WCB Group; Teaching
Reading,Thinking,and Study Skills; 1981; Pg. xiii
Super lesson plan...I loved it. Thanxx Jon.
Jives' Desktop Extravaganza
Why did you post this, what's your point????
Jives' Desktop Extravaganza
abbey wrote: Why did you post this???
for general information...it's very good and informative for Pythagorean freaks.
It shouldn't be buried.
Also see my comment on the bottom...
This thread is for individuals interested in Art.
Here's Jon at his desk where he teaches a Remedial Transition course for kids...
I wanted to see what Jives looked like. He posted it, so I don't think he would mind.
If yer wondering if I know Jives, I don't. I'm doing a bit of searching and detective
work on my own, since I like to come to my own opinions and conclusions about a
person and wonder what makes a person tick.
I don't mind answering your politely worded question, Abbey, there, ole girl....
I hope that is openly plain enough for ya....
for general information...it's very good and informative for Pythagorean freaks.
It shouldn't be buried.
Also see my comment on the bottom...
This thread is for individuals interested in Art.
Here's Jon at his desk where he teaches a Remedial Transition course for kids...
I wanted to see what Jives looked like. He posted it, so I don't think he would mind.
If yer wondering if I know Jives, I don't. I'm doing a bit of searching and detective
work on my own, since I like to come to my own opinions and conclusions about a
person and wonder what makes a person tick.
I don't mind answering your politely worded question, Abbey, there, ole girl....
I hope that is openly plain enough for ya....
Jives' Desktop Extravaganza
abbey wrote: Why did you post this, what's your point????
Oh...I see you did a little bit of an edit up there with a bunch of question marks.
Am I to believe you are upset with my free roaming and decision-making ability of where I go and what I do and say on the forum?
Don't be Abbey, I'm not gonna let the big monster out of his cage..I'll leave that
up to you and whoever else that wishes to construe yer own perceptions...
you can handle yer own damage control. I see Jives is still a member here...
Oh...I see you did a little bit of an edit up there with a bunch of question marks.
Am I to believe you are upset with my free roaming and decision-making ability of where I go and what I do and say on the forum?
Don't be Abbey, I'm not gonna let the big monster out of his cage..I'll leave that
up to you and whoever else that wishes to construe yer own perceptions...
you can handle yer own damage control. I see Jives is still a member here...
Jives' Desktop Extravaganza
AussiePam wrote: G'day Okie -- yep that's the one that first grabbed my eye too !! Awesome.
Yep, you are a bit too fast for American rattlers. Heee. I guess dodging them Eastern Browns down under is good practice. Hey, you have a birthday coming up. I sent you a card but its gonna get there late. got any plans? Champers and cake? Maybe go visit the Uni?
We are going to have a barbie at a friends house. Well today we will have one here too. Porterhouse steaks.
Might get me a different car today or in the next day or two. Not brand new tho.
Yep, you are a bit too fast for American rattlers. Heee. I guess dodging them Eastern Browns down under is good practice. Hey, you have a birthday coming up. I sent you a card but its gonna get there late. got any plans? Champers and cake? Maybe go visit the Uni?
We are going to have a barbie at a friends house. Well today we will have one here too. Porterhouse steaks.
Might get me a different car today or in the next day or two. Not brand new tho.
Jives' Desktop Extravaganza
Elouise wrote: Oh...I see you did a little bit of an edit up there with a bunch of question marks.
Am I to believe you are upset with my free roaming and decision-making ability of where I go and what I do and say on the forum?
Don't be Abbey, I'm not gonna let the big monster out of his cage..I'll leave that
up to you and whoever else that wishes to construe yer own perceptions...
you can handle yer own damage control. I see Jives is still a member here...I have no beef with you or anyone else on FG, just wondered that's all.
Just seemed to me that you was stirring a little trouble.
Am I to believe you are upset with my free roaming and decision-making ability of where I go and what I do and say on the forum?
Don't be Abbey, I'm not gonna let the big monster out of his cage..I'll leave that
up to you and whoever else that wishes to construe yer own perceptions...
you can handle yer own damage control. I see Jives is still a member here...I have no beef with you or anyone else on FG, just wondered that's all.
Just seemed to me that you was stirring a little trouble.
Jives' Desktop Extravaganza
Thanks Okie. I'll look forward to the card!! Jen's back in hospital, so life is on hold again here. But I'm thinking of just vanishing for a few hours in the morning - might go and have a swim or something. Take care!!
"Life is too short to ski with ugly men"
-
- Posts: 212
- Joined: Sun Jul 30, 2006 8:52 am
Jives' Desktop Extravaganza
AussiePam wrote: Thanks Okie. I'll look forward to the card!! Jen's back in hospital, so life is on hold again here. But I'm thinking of just vanishing for a few hours in the morning - might go and have a swim or something. Take care!!
Yes!! I would tell you not to go into the sea too early and make a sharks dinner but I know you . I have been having a time with the power blowing out three times. I heard a transformer blow outside. Oh well.
Just had a manwich. Hamburger meat with sort of barbie sauce on a bun. I have Dustins little dog now. He is well behaved is is lying there watching me.
Sorry Jen is back in the hospital.
Yes!! I would tell you not to go into the sea too early and make a sharks dinner but I know you . I have been having a time with the power blowing out three times. I heard a transformer blow outside. Oh well.
Just had a manwich. Hamburger meat with sort of barbie sauce on a bun. I have Dustins little dog now. He is well behaved is is lying there watching me.
Sorry Jen is back in the hospital.
Jives' Desktop Extravaganza
Okie is entirely cute, Snoozie!! Grin.
"Life is too short to ski with ugly men"
- chonsigirl
- Posts: 33633
- Joined: Mon Mar 07, 2005 8:28 am
Jives' Desktop Extravaganza
Are you BBQ-ing for Labor Day, Okie?
Jives' Desktop Extravaganza
SnoozeControl wrote: I always laugh when you post 'heee'... that's so cute.
Hey Snooze. I thought you had a hidey hole or something. then I read you are into a tiff with management? whats the scoop??
Hey Snooze. I thought you had a hidey hole or something. then I read you are into a tiff with management? whats the scoop??
Jives' Desktop Extravaganza
chonsigirl wrote: Are you BBQ-ing for Labor Day, Okie?
Probably will. We are doing one today and tomorrow so maybe Labor day too.
MY daughter just stocked up the freezer with all sorts of meat.
Probably will. We are doing one today and tomorrow so maybe Labor day too.
MY daughter just stocked up the freezer with all sorts of meat.
Jives' Desktop Extravaganza
AussiePam wrote: Okie is entirely cute, Snoozie!! Grin.
:-4 Woooo, Pam. You got me embarrassed.
:-4 Woooo, Pam. You got me embarrassed.
Jives' Desktop Extravaganza
Jives, yer almost 50 or are...? ....where you hiding that Camaro? How long you been teaching transitional remedial. I have a very good friend who just last year
put his son into a similar program at a public school and his grades skyrocketed.
He supposedly has the dreaded ADD ..but because all the material is presented in entirely different ways other than the humdrum...the pace is much faster in "fun, fast, informative with humor" the dryest of information is retained...Great connectivity, and the kids love it. In fact, some mainstreaming kids in the public school are signing up for the class with good grades.
Good on ya.
You know, curioser...
I wonder why many think yer a dirtbag. A dirtbag doesn't usually take on remmies and is simultaneously, an internet jerk.
put his son into a similar program at a public school and his grades skyrocketed.
He supposedly has the dreaded ADD ..but because all the material is presented in entirely different ways other than the humdrum...the pace is much faster in "fun, fast, informative with humor" the dryest of information is retained...Great connectivity, and the kids love it. In fact, some mainstreaming kids in the public school are signing up for the class with good grades.
Good on ya.
You know, curioser...
I wonder why many think yer a dirtbag. A dirtbag doesn't usually take on remmies and is simultaneously, an internet jerk.
Jives' Desktop Extravaganza
What's a remmy?
Jives' Desktop Extravaganza
SnoozeControl wrote: I think we've worked it out. And it wasn't a problem with management, he's a very nice guy.
Ah, OK. Glad you got it worked out.
I once went to a chat room that had so many fights we just had to leave. Posers were a bit of a problem but some just lurked and then trashed the room with multiple postings and making all fonts huge or bright red etc. We went to a new one and we made a rule to keep politics out. There are sites that like to argue so thats fine there.
Ah, OK. Glad you got it worked out.
I once went to a chat room that had so many fights we just had to leave. Posers were a bit of a problem but some just lurked and then trashed the room with multiple postings and making all fonts huge or bright red etc. We went to a new one and we made a rule to keep politics out. There are sites that like to argue so thats fine there.
Jives' Desktop Extravaganza
SnoozeControl wrote: What'dya mean?:-2
Heeeeee. Love it. But I meant that somehow they could change posts that were already there to make the whole room red and like that. I dont know how they did it.
Heeeeee. Love it. But I meant that somehow they could change posts that were already there to make the whole room red and like that. I dont know how they did it.
Jives' Desktop Extravaganza
SnoozeControl wrote: Is there a point to this? You can just PM him with your admiration and regards, you know.She's never been introduced, there are limits to what someone can do socially. Discuss on an existing thread, fair enough. PM out of the blue, totally out of order.
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
SnoozeControl wrote: Please stop chastising me.It would never cross my mind that you might benefit from it.
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
SnoozeControl wrote: Is there a point to this? You can just PM him with your admiration and regards, you know.
Now here we go again...people I don't even know, questioning my rights within
a "FORUM" who I address....how I address people, and why.
Pay particular attention to 'b.'...
Why I ask questions on the public forum is pretty much self-evident.
--------------------------------------------------------------------------------
[Origin: 1425–75; late ME b. A public meeting place for open discussion.
A medium of open discussion or voicing of ideas, such as a newspaper or radio or television.
c. A public meeting or presentation involving a discussion usually among experts and often including audience participation.
A court of law; a tribunal.
[Middle English, from Latin. See dhwer- in Indo-European Roots.]
Now here we go again...people I don't even know, questioning my rights within
a "FORUM" who I address....how I address people, and why.
Pay particular attention to 'b.'...
Why I ask questions on the public forum is pretty much self-evident.
--------------------------------------------------------------------------------
[Origin: 1425–75; late ME b. A public meeting place for open discussion.
A medium of open discussion or voicing of ideas, such as a newspaper or radio or television.
c. A public meeting or presentation involving a discussion usually among experts and often including audience participation.
A court of law; a tribunal.
[Middle English, from Latin. See dhwer- in Indo-European Roots.]
Jives' Desktop Extravaganza
It must be said, in Elouise's defence, that she has a thunderingly legitimate interest in Jives after all that happened this week. Let her analyse, why not - a new perspective might help everyone here, even Jives himself.
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
Jives wrote: My best Sunset Pic!
I am definitely on this one with you. This could be the ultimate sunset...but I always believe we just should not categorize the 'best'..shortens our far-reaching horizons.
What do you think, Spot?
I am definitely on this one with you. This could be the ultimate sunset...but I always believe we just should not categorize the 'best'..shortens our far-reaching horizons.
What do you think, Spot?
Jives' Desktop Extravaganza
Elouise wrote: What do you think, Spot?I think you're going to get such a slapping if you keep needling poor Snooze, she's had a bad weekend and you're turning into a nightmare for her. If we all re-holster our handguns and start talking fish recipes we might return to the quiet contemplative board we all so enjoy, and you can bask with us in the light of occasional sermons and dry analyses of the situation in Gaza.
I do sermons sometimes, people fall asleep after my "fifthly" paragraph.
I do sermons sometimes, people fall asleep after my "fifthly" paragraph.
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
SnoozeControl wrote: Oh. Was it needling me? I couldn't tell since it meandered all over the freaking forum.That's surely still an attempt at inflammation, I thought we were going to behave ourselves?
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
SnoozeControl wrote: Was it my use of the word 'freaking'?It was your following her to carry on your argument, mostly. Not wise given admin's sticky, I thought.
Nullius in verba ... ☎||||||||||| ... To Fate I sue, of other means bereft, the only refuge for the wretched left.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
When flower power came along I stood for Human Rights, marched around for peace and freedom, had some nooky every night - we took it serious.
Who has a spare two minutes to play in this month's FG Trivia game! ... My other OS is Slackware.
Jives' Desktop Extravaganza
SnoozeControl wrote: Oh. Was it needling me? I couldn't tell since it meandered all over the freaking forum.
I'll try to be more annoyed just to humor it, alias "the growth."
First of all, Snoozie...you came at me in Jives thread demanding information, and
frankly, you don't have right to demand anything of me about anything....
Secondly, if you've been informed I'm here solely for your pleasure to wind you
up, yer sadly mistaken.
AND...if you have any balls you will name your informant....if he/she even exists....:rolleyes:
Thirdly, you follow me around the forum and post where I'm posting,..what for?
You another one of those individuals who need constant reassurance about your real purpose in life?....I'm not posting about you...get the hell off my block and go bother someone else. Realize this...I don't know you, I don't
think about you, I don't even care if you even exist....
and, SPot... I have no desire to "needle" dear old snooze control....if that is your assumption...you've been mistaken.
What is it with you, Snoozie...you attack me, and when I respond to your dimwittedness psychosis...in this very thread, you then claim I attack you and it's "ALL OVER THE FORUM"...
Do you drink?
Get your own posting life somewhere else....go follow your destiny...shoo...
I'll try to be more annoyed just to humor it, alias "the growth."
First of all, Snoozie...you came at me in Jives thread demanding information, and
frankly, you don't have right to demand anything of me about anything....
Secondly, if you've been informed I'm here solely for your pleasure to wind you
up, yer sadly mistaken.
AND...if you have any balls you will name your informant....if he/she even exists....:rolleyes:
Thirdly, you follow me around the forum and post where I'm posting,..what for?
You another one of those individuals who need constant reassurance about your real purpose in life?....I'm not posting about you...get the hell off my block and go bother someone else. Realize this...I don't know you, I don't
think about you, I don't even care if you even exist....
and, SPot... I have no desire to "needle" dear old snooze control....if that is your assumption...you've been mistaken.
What is it with you, Snoozie...you attack me, and when I respond to your dimwittedness psychosis...in this very thread, you then claim I attack you and it's "ALL OVER THE FORUM"...
Do you drink?
Get your own posting life somewhere else....go follow your destiny...shoo...
Jives' Desktop Extravaganza
Elouise wrote: I am definitely on this one with you. This could be the ultimate sunset...but I always believe we just should not categorize the 'best'..shortens our far-reaching horizons.
What do you think, Spot?
I was asking you about the Sunset..you likey?
What do you think, Spot?
I was asking you about the Sunset..you likey?
- anastrophe
- Posts: 3135
- Joined: Tue Jul 27, 2004 12:00 pm
Jives' Desktop Extravaganza
for those who may be interested in doing some searching and detective work, in order to come to their own opinions and conclusions about jives, one may find useful the very helpful 'similar threads' section at the very bottom of the page, where the system has conveniently placed the 'gin blossoms and jives' thread as the foremost similar topic. reading it will provide some interesting background on the matters under investigation.
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