Mathematical Ideas
After studying the mathematics in Looking for Pythagoras:
1. a. I learned these things about side lengths and areas of right triangles and squares:
b. Here in my notebook on the following date gives evidence of what I have learned, along with descriptions of what each entry shows:
2. a. the mathematical ideas that I am still struggling with:
b. This is why I think these ideas are difficult for me:
Class Participation
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I....(give examples.)
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I learned that the base of a right triangle is half of the hypotenuse. I also learned that the side length of a square is really the square root of the area.I also learned that you find the square root of the hypotenuse by adding each leg squared then dividing that sum.We first learned about this in LFP. INV 2-1. when we measured the side length of a square then compared it to that of a tilted square.I still have problems with finding the area of irregular polygons.Just because I know the steps but cant follow them methodically.I always participate in math I have proo because the teachers always say" I see amber and julian but I wanna hear from some one new." Thats enough proof.
1a)I learned about side lengths and easier ways to find area and perimeter and i learned how to do square root a little better.
1b) Yes in my word notebook it shows what i have learned and shows my work.
2a)I am struggling with square root.
2b)i think its difficult for me because i am not good with division
1a. i did not learn it in this class im just learning more about it.
1b. my NB on the computer has all the evdience of almost all my work.
2a. is finding some of the area and perimeters.
2b.because i do not under stand how to find them for a triangle and square.
2a the mathematical idea i am struggling is them one we are doing right now area and perimeter i do not get this because it is not easy and the class moves on real quick the reason why i think this ideas are difficult are because i was not in regular class last year and because if they thought me this in bilingual they thought it to me in a different way also i have never raised my hand on class to contributed to the class
The things that i learned on the side
lenghts of triangles are very important when it comes to finding the hypostnese and stuff like that. I learned that the order to find the area of a right triangle is base times height divided by 2. To find the area of square is base times height.
1b. area of right triangles, find the hypotnese, and the side lengts.
2a. square roots.
2b. because if its not 36 or 25 then i like have no iea what the quare root is.
1a. What i learned about side lengths and areas of right triangles is and squares is. I learned how to use the Pythagorean theorem on a right triangle and find out what the hypotenuse is.
1b. 11-26-07, 10-15-07, LFP INV 3.1
2a. I am struggling with finding the area of shapes without the Geoboard.
2b. I thik these are difficult because i cant concentrate on the number of squares in there arent squares to count.
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I raise my hand and give anwsers to Mr. Newman.
A)
1. I've learned about sides lengths and areas of right triangle and squares.Using the Pythagoras Theorem.
Like for example this is one of the class assignments that I understand that I understand the most.
B)
A. Give the coordinates of each landmark.
1.Gas station (4,4)
2. Animal Shelter (6,-2)
3.Stadium (-2,3)
B. Euclid’s chief of police is planning emergency routes, She needs to find the shortest driving routes between the following pairs of locations:
Pair 1: The police station the city Hall
Go North 4 Blocks
Pair 2: The hospital on the City Hall
Go east 6 Blocks and go North 4 blocks.
Pair 3:The hospital to the art museum
Go east 12 blocks and go north 5 blocks.
2. For each pair , find the total distance in blocks a police car following your route would travel.
1. (4 blocks)
2.(10 blocks)
3.(17 blocks)
C. Suppose you know the coordinates of two landmarks in Euclid.
How can you determine the shortest driving distance (in blocks)
between them?
( Cemetery , Animal Shelter ) ( North 2 blocks and East 3 blocks)
D. A helicopter can travel directly from one point to another . For each
pair in Question B ,find the total distance (in blocks) a helicopter
would have to travel to get from the starting location to the ending
location . You may find it helpful to use a centimeter ruler.
2.The mathematical ideas that I am still struggling with is on looking for the area.
C. This is why i think there ideas are difficult for me because iether am not paying enough attention or i need to work more in it.
Class participation:
I contributed to the classroom discussion when I feel that i did understand the assignments.
Mathematical Ideas
After studying the mathematics in Looking for Pythagoras:
1. a. I learned these things about side lengths and areas of right triangles and squares:
I learned how to get the hypotenuse or leg length from a right triangle. I have subliminally been using the equation A2+B2=C2 for the hypotenuse. C2-B2=A2 is the equation for finding the other leg.
b. Here in my notebook on the following date gives evidence of what I have learned, along with descriptions of what each entry shows:
Pictures (cant be copied)
http://i6.tinypic.com/6s62ovm.png
http://tinyurl.com/293wrs
2. a. the mathematical ideas that I am still struggling with:
I am still a little unclear about the inequity thing.
b. This is why I think these ideas are difficult for me:
It may be because there are too many jumbled numbers.(I'm not lazy)
Class Participation-
I think I have been answering questions on the board to help.
1a. What i learned about side lengths and areas of right triangles is and squares is. I learned how to use the Pythagorean theorem on a right triangle and find out what the hypotenuse is.
1b. 11-26-07, 10-15-07, LFP INV 3.1
2a. I am struggling with finding the area of shapes without the Geoboard.
2b. I thik these are difficult because i cant concentrate on the number of squares in there arent squares to count.
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I raise my hand and give anwsers to Mr. Newman.
What i learned was how to find a hypotneuse of a triangle by using the two other sides of it.Also i learned more about square root and how to use them in a equation.
this is from my notebook
November 6th 2007
Leg 5
Leg 7
the square root of 74
the things that i am struggling with a little bit is finding the area of a shape when the lengths aren't even.
the reason why is because it i a little hard to find the shapes and put them together to make a whole shape.
i contribute in class.Because i answer questions and do my work,i don't copy what other people do just because there done easily
1a. When my 8th grade class was studying the side lengths of random and the areas of right triangles and squares we learned that the side length of a square equals the square root of the square. A square root is a number that can be ...........I am not finished.
the things that i learned about side lengths is that u can also find the perimeter of the area of the shape.
Length of legs 1
Units Length of leg 2
Units Area of square on leg 2 square unites
1 1 1 1 1
1 2 1 4 5
2 2 4 4 8
1 3 4 √9 √10
2 3 4 9 13
3 3 3 9 18
3 4 9 16 25
we worked on this november 4 i think and we had to find the leghts
of the diffrent things.
im not really struggling i just need an reviw on the things we have done
mathematical Ideas
After studying the mathematics in Looking for Pythagoras:
1. a. I learned these things about side lengths and areas of right triangles and squares: how to take to side of a triange and then finding the other side.
b. Here in my notebook on the following date gives evidence of what I have learned, along with descriptions of what each entry shows:
2. a. the mathematical ideas that I am still struggling with:finding a &p of the shapes
b. This is why I think these ideas are difficult for me:i think finding the area is a little hard because i didnt know how to find it but know i get it kinda.
Class Participation
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I....(give examples.)when i raise my hand alot in class and im more excited and stuff.
1A)a thing that i learned in mr,newman class is the equation that we use to solve some of the problems we do in newman and the equation is a2+b2=c2 and we as in me and my fellow class mates are doing those cand of problems
1.a. I did learn about side lengths area's of right triangles and squares i am all so good at that.
b. My notebook does contain some work and it does have examples but half of my work is in my labtop and all so show examples of work.
2.a. i am still struggling with how to solve a square rute with out a calculater.
b. i think it's difficult beacuse for me it's to much to handle first your doing a math problem then it turns to a other math eqation.
i do particapate in class disscussion and i do understand looking for pathagoras when i use the equation a2+b2=c2.
When i first learned the Eqation of Alagbra i knew i seen it befroe and than as i got into it it started getting confusing like at parts where you said a+b=c i didn't know what that ment but as you expliand it more i got the hang of it Also i was confused about the leg and hypotenuse i didn't know which was which and i got confused with them then one of you teachers explianed to me the equation and where the letters go which letter is hypotenuse and which is the leg a is a leg b is a leg and c is a hypotenuse I am sruggling with how to find the answers so quicly in tome to pass i know the answers i jus take more time I also struggle with the area just a little bit and i still getting the hang of it. I contribute t o the classroom dicusion and understanding of looking for pythagoras when i know the answers and when i actually can do the work in a breeze
what i learned was how to find the hypotnosis. and the using A square + B square = C Square.And finding the missing side length for triangles and square and finding right angles
i learned in my investigation how to work with shapes on the geobord and finding the perimeter and area
I am still struggling with find the squared number the two numbers it is between like 28 when square what two numbers is it between 5-6
thats why thing they difficult to me
i contributed to the classroom discussion and understanding of looking for phyhagora when i raise my hand and i trie the answer qustions
1A. IN MATH CLASS WE LEARNED ABOUT RIGHT ANGLES,SQUARES AND HYPOTENUSE.HYPOTENUSE IS THE OPPOSITE OF TH RIGHT ANGLE.
1B. IN MY NOTEBOOK I HAVE THE THATS SO I CAN GET GRADED AND KNOW THE DAYS I DONE THE WORK. ALSO SO I CAN KEEP MY NOTEBOOK ORGANIZED:EVIDENCE IS 5A.AREA IS 5
5B. SQ ROOT OF 5
6. AREA IS 58
2A. I STRUGGLE ON FINDING THE PERIMETER OF SHAPES ON A GRID
2B.THE PERIMETER IS DIFFICULT BECAUSE THE PROCESS OF DOING IT CONFUSES ME
1.a. I did learn about side lengths area's of right triangles and squares i am all so good at that.
b. My notebook does contain some work and it does have examples but half of my work is in my labtop and all so show examples of work.
2.a. i am still struggling with how to solve a square rute with out a calculater.
b. i think it's difficult beacuse for me it's to much to handle first your doing a math problem then it turns to a other math eqation.
i do particapate in class disscussion and i do understand looking for pathagoras when i use the equation a2+b2=c2.
After Studying the mathematics in looking for Pythagoras i learned these things about side lengths and areas of right triangles and squares i learned that the right triangle has 2 part 2 legs and a hypotenuse. the equation for finding the hypotenuse is A2+B2=C2.the equation to find a leg is C2-B2=A2. Here in my notebook on the following dates give evidence of what i learned in LFP INV.3.1 10-31-07 it shows hoe i use the equations to find the answers. The mathematical ideas i am still struggling with are finding the perimeter of triangle without any certain number. Is difficult because i dont know ho to find it.
After studying the mathematics in looking for pythagoras:
1a)I learned these things about side lengths and ares of right triangles and squares, i learned that to find the side length of a right triangle you have to do the pythagorean theorem, witch is the equation for the right triangle(a2+b2=c2). I learned that to find the area of an square you have to do s*s.
b. In my notebook it shows what I have learned. I learned how to find the length of a right triangle using the pythagorean theorem. The equation is A2+B2=C2, A can be the leg, B is another leg, and C is the hypotnuse.
2a) The mathematical ideas that I am still struggling with is on how to find the area and perimeter of certain shapes, and on some of the square roots.
b. The reason why I think these are hard for me is because I'm not under standing them and forget them often.
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I gave answers and asked questions. Also when I did my class work and worked hard.
1a. Things I learned during the LFP unit is how 2 find hypotonuse of a triangle and i also learned more about square roots.
1b.
2a. From this math unit i'm still struggling with find hypotonuse and the different procces to finding it.
2b. The reason i think i'm still struggling with this is because the first day we started working with it i wasn't here and i didn't have enough time in school to learn more about it or how to solve for it \.
I learned about the Pythagorean Theorem and how to find the area of shapes and triangles in this unit. In my notebook it shows my work and how we used graphs and grids to find triangles and the area's of them. It shows the square roots that we worked with and solving equations. A Mathematical thing struggling with is what we worked on, no Friday with finding the lengths of a triangle when you are only given one angle. This ideal is hard for me because i do not get how if one leg is multiplied to get the other leg because it doesn't make sense. I contribute to the class room and participate when i solve problems and people get stuck (I help them out)and in class discussions i help people to understand more by elaborating on the topic if i understand and have the answer.
"Mathematical Ideas"
I've learned the formula to use to find the hypotenuse (a2+b2=c2) At first i didn't get it but then i got the hang of it. I also learned square root which was easy. If you look in my notebook in my Investigation section you can see all the work i did and the notes i may had taken from class.
One thing i was struggling was when in Inv. 4.4 we had to find the area of, for example triangle KLM and it had an extra letter like N. it was the 30, 60, 90 degree angle triangle. Its a little bit hard trying to find the area of it. It's hard because having to find the area and there are two triangle in it and doing all the math it's confusing.
"Class Participation"
I contribute to the class discussion and understanding of Looking for Pythagoras when I participate a lot and be very enthusiastic towards answering the questions the teachers ask.
i learned that there are legs and hypotnuese and how to find for teh area and periminter in a easier way.
on 10/25/07 i did a project on wireless around the school and i tested the strength from the wireless network and different places and i learned how to put videos and placemarks on google.
i am not really struggling with anything its just that i forget alot of the key things to solving for the area.and there are no ideas that are difficult.
1a)I learned about Hypotenuse and legs and how to find them. Also I learned about square roots.
1b)Yes in my notebook I have evidence to show what I have learned.
2a)I'm struggling a little with how to find area when the shape is not even.
2b)I think it's difficult because I can't concentrate on the shape cause it's not even.
I contributed to the classroom discussion and understanding of Looking for Pythagoras when I participate in class
I learned how to find a hypotenuse of a shape.Another thing i learned was how to use a square root and the equation you have to use to find the answer to your math problem. At first the square root and the hypotenuse did confuse me, but i'm starting to understand it more better. To find the hypotenuse you multiply the number on one side and the other,then you add them up and find the square root of that number, if its not a full number then it will remain as the square root. For example one side is 3 .3x3=9 and the other side is 4 .4x4=16 then you do 16+9=25 the square root of that is 5.
I think the things im mostly struggling on is the equation a2 +b2=c2 and also the classwork today kind of got me lost.
When i saw some of the question familiar to the ones we use to be doing. Even though some of the questions had me lost i try to remember what we was learning. But some of the questions had to do with finding the area of a triangle and how to find the length of a triangle.
1a.I learned about the hypotenuse of a right triangle and how to figure out the side if the triangle gives me the hypotenuse. I learned that by learning a equation A2+B2=C2. I also learned about the square root of a number like for example the √25 is 5 because 5*5 Square root is like a number that multiply it's self.
1b. We learned about hypotenuse around like from 1.1-3.1 of investigation (LFP) or around the date 10/16/07 or first of novemeber
2a. sometimes i struggle with square roots.
2b.I dont know what ideas are difficult for me
I learned how to find the hypotheses. of a right triangle. And that a square split in half make to right triangles that you can find the area of. And i learned that to find the hypotheses you have to use an equation which is A2+B2=C2.
My notebook tell how i can learn how to get the area of a right triangle also tell how you can find the missing number of a right triangle.
The thing i am struggling with is how to find the square root of a triangle with only a leg of the triangle and the hypotheses.
Is because we didn't have that much practice with it and for me to get something i have to practice it for a while.
I type down what i think is important. Also when Mr.Newman or Mr.Phillphs put a question on the board i can answer it right away with out that much thinking.
1.a.I learned that when you have two sides of something that is a triangle you should use the Pythagorean theorem to find the total area of that right triangle. When you use that you need to get the hypotenuse.
1.b.It also helps you keep track of what day you did it show you can go right back to it and get your notes.
If i had put in anything from 1.1 to 3.1 it will all be in my notebook.
2.a. What i think i am struggling with is when you have to add and get the perimeter of a triangle.
2.b. I think those are difficult for me because you have to add everything and sometimes multiply to get the answer and use the Pythagorean theorem just to get the answer.
I learned how to find the hypotenuse for a right triangle. I learned easier ways to find a area of a shape. And how to find the area of a right triangle. Using the Pythagorean Theorem it was easier for me most of th time to find the hypotenuse or a leg. In my notebook all the things I've learned should be in my notebook i think i have enough proof/evidence to look at it if i have any confusions. I think the way I participate in class is just fine because I pay attention in class, take notes when it's needed and I like to raise my hand to answer questions sometimes
What I'm having problems with is nothing from this book but something I know I'll have to learn eventually and that is still integers a little bit. I'm always getting confused and one thing from this book is having to solve the perimeters for the the other triangle called the 30, 60, 90 degree angle triangle thats split in two. because only one number is given and I get confused a little even though we just kind of started that but it's still confusing. But after that
THE THINGS I HAVE LEARNED ABOUT SIDE LENGTH AND AREA OF RIGTH TRIANGLE AND SQUARER IS THAT WHEN YOU WANTED TO FIND A LEG OR THE HYPOTENUSE YOU NEED TO USE THE EQUATION AXA + BXB=CXC OR AXA - BXB=CXC. THE OTHER THING IS TO FIND THE HYPOTENUSE OF A TRIANGLE IS THAT IF YOU HAVE THE BASE YOU NEED TO DO THE BASE X 2 AND EQUAL HYPOTENUSE AND IF YOU DO NOT HAVE THE BASE AND HAVE THE HYPOTENUSE YOU NEED TO DIVIDED BY 2 AND GET YOU BASE.A EXAMPLE THAT I HAVE IN MY NOTE BOOK IS TO FIND THE ARE OF A TRIANGLE YOU NEED TO DO 1/2 BASE X HIGHT.THE PROBLEM I AM HAVING IS TO FIND THE AREA OR PERIMETER OF A HOLD TRIANGLE.
1A.)I learned how to find area and perimeter of a shape. I also learned how to the hypotenuse of a line.
B.)In my word notebook it shows what I have learned about area and perimeter and it shows the work to prove how much better I have a understanding of what I am learning.
2A.)I am stay struggling little with square roots but everyday in class I learn a little more about.
B.)I think doing square roots is difficult for me because I am not that good in division.
Class Participation:
I contributed to the classroom discussion when I raise my hand to answer a question that I understand or think I have a understanding in.
1a}I learned that the side length and area of triangles and squares are called the hypotenuses and the leg, i also learned about square root and that the side length of a square is a square root, and also i learned about finding the hypotenuses that's just a fancy word for the opposite the side of a right angle. 1B} in my notebook on 11/1/07 investigations 1.1 to 3.1. 2a}I'm still struggling on sq.rt a little and finding the leg when you are already giving one leg and the hypotenuses.2b} i think I'm still struggling with that because i know how to solve for the hypotenuse using the legs but when solving for the leg when your already given the hypotenuses it's a little hard because you have to do the oppsite and I think need to get it down pack in my head.
I learned so much in math class about this hypotenuse.I learned that there are two legs && the hypotenuse is opposite the right triangle 90 degree.
From my notebook i have learned square roots && how to solve for the hypotenuse.
What I'm mostly struggling with is how to solve a shape on my own without using the geoboard.
The reason why its difficult for me is because to find the area of the shape be confusing me.
I contribute in class because i do my work && try my best at my work even dough sometimes i don't understand it. I'll still participate && do my work at the best i can.
1a. In this Unit I learned how to find the hypotenuse in the right triangle. I also learned how to find the leg when there is only one leg and a hypotenuse.
1b. On November 13 what we did during our do now was we had to find we a leg.We had to use the equation to find the problem.
2a.One thing I am struggling with is still trying to find the leg with the hypotenuse.
2b.I think it is hard because sometimes I miss some steps and it becomes really difficult for me.
Classwork Participatation
i participate in class when i raise my hand a lot and when i am very active.
1A. I have learned that you have do
A(2) + b(2) = C(2) for example
1B. with all the entries that i have each one show that i used
A(2) + b(2) = c(2)
2A. i am struggling with finding the area of shapes that are on the Groboard. it is hard for me to understand how you count the out side and some how you get the answer.
2B. i think it is difficult because the way it is explaned
1a)I learned these things about side lengths,areas of right triangles and squares by the pythagorean theorem A2+B2=C2
1b)On November 5,2007 I did a problem having to do with the pythagorean theory the numbers where 3,and 9.
2a)What I'm still struggling with are finding the leg I keep for getting what to do and then I get confused.I forget what the number is example:√45 what number is it between 4and5 6and7 8and9
2b)I think that these ideas are difficult for me because I am a visual learner.I gave examples by using A2+B2=C2.
1) I have learned these things about side lengths and areas of right triangles and squares.I know if you have to find the hypotenuse of a right triangles you have to do
A2+B2=C2.And if you have to find the leg of a rigth triangles you have to do A2 OR B2 - C2 = A2 OR B2.When you have to find the area of a squares you have to do L*B. And if you need to find the area of a shape you have to count the squares units in side of the shape.
2) Within my notebook shows evidence of what I have learned ,along with descriptions or what each entry show.
leg 1 =1
leg 2 =1
hypotenuse = 2
leg 1 =4
leg 2 =6
hypotenuse = √52
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