6.) One week, Kristi worked 3 days at a department store for 3 1/2 h each day. She was paid $9/h.
a) How many hours did Kristi work that week? show your thinking .
b) How much did Kristi earn that week?
7.) Jupiter completes about 2 2/5 rotations every 24 hours (an Earth day). How many rotations does Jupiter complete in one Earth week? Show your thinking .
8.) A sailboat is sailing at 8 1/2 km/h. If the weather conditions and the current do not change, how far will the sailboat travel in 1 1/3 h? show your thinking .
For our assignment , we have to explain the Pythagorean Theorem, the artifacts and the vocabulary .
The Artifacts:
The link to the pictures or artifacts is that they are all related to Pythagorean Theorem.
The mystery man is Pythagoras, the one who proved the Pythagorean Theorem. He is often revered as a great mathematician, mystic and scientist. He is known as "the father of numbers".He was the first man to call himself a philosopher, or lover of wisdom, and Pythagorean ideas excercised a marked influence on Plato. Unfortunately, very little is known about Pythagoras because none of his writings have survived. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors.
This formula is the Pythagorean Theorem. Pythagoras discovered this theorem.
This triangle is a R.A.T. or Right Angled Triangle. The longest side of this triangle is called Hypotenuse or letter "C", the other two sides are called Theta and Beta.
This square is just a regular square that has four 90 degree angles and its quadrilateral.
The vocabulary:
LEGS - is the a or b in a right triangle .
HYPOTENUSE - the longest side or the letter "c" in a right triangle .
R.A.T - right angled triangle .
GREEK - Pythagoras, the first Greek who discovered the Pythagorean Theorem .
THEOREM - In formal mathematical logic, the concept of a theorem may be taken to mean a formula that can be derived according to the derivation rules of a fixed formal system .
I need to solve two problems using the Pythagorean Theorem.
Problem 1:
Problem 2:
Here's my first video. This explains on how you get A or the leg.
My second video is all about on how you can get the C or the Hypotenuse.
Last friday, instead of Mr. Harbeck, we had a substitute in our class. We went over our homework which was on page 52. We discussed about PATTERNS, there are two types of patterns : Functional and Recursive Patterns.
*Functional Patterns - across the xy axis.
Let x= you say 4x - 2
here's another example:
Let x= you say
3x + 7
*Recursive Pattern - goes up and down an axis.
Let x = you say
x/2 + 5
For our homework, Ms.(Mrs.) Wilson gave us questions 4-10:
And for the next scribe, I pick CHIE (angel chie-chie)!!!
Today in class, we made acolorfulbooklet or a barn or booklet thingy. The colorfulbooklet's cover is blue so in case it gets lost people could easily recognize that the booklet belongs to someone from the room 8-73. Mr. Harbeck also gave us a purple booklet full of Algebra questions.
First we discussed about Algebra Equation Solving Balance Scale and wrote it on the back of our colorful booklet.
here's the example:
the first step is to isolate the variable, second is to cancel using the opposite, third is to balance and then the last is to verify. . .
Right after that we disscused about Additive Equations. Additive Equations is also part of Algebra Equation Solving.The steps are also the same.
Step 1- isolate the variable
Step 2- cancel using the opposite
Step 3- Balance
Step 4- Verify
Here are some examples:
After Additive, we already proceed to the Subtractive Equations. Subtractive Equation's steps are the same with the additive.
Here are some examples:
note: as you can see, subtractive equation slightly different from additive because the constant of the subtractive equation is negative. . .
For our homework, we have to do page 41 of our purple booklet. Mr. Harbeck asked us to do the Additive and Subtractive Equations only, which were numbers 1, 3, 6, 8, 12, 13, 15, 18, 20, and 23.
Uhhmm...that's about everything we did in class today.
and for the next scribe, I pick Brendan Moore.
Thanks for reading my scribe, please leave some comments you guyz. . . xD
Adding Integers, makes our life much easier, friend and dude always Positive plus Negative Zero Pair's the best
Subtracting Integer(Haiku)
Subtract Integer, Negative to Positive, Add the Opposites Partitive Division(Tanka) Equal parts in group, a partitive division sharing the numbers, Partitive is the answer, Used in quadrant one and two Quotative Division(Tanka) Asking a question, a quotative division, its that much simple Only quadrant one and three, Not in quadrant two and four The Rule for Multiplying Integer Mel's Rockpile(Free verse)
In Multiplying Integers Mel's Rockpile is the best When there's an even amount of Integers, for sure the answer is always positive And when there's an odd amount for sure the answer is always negative A pretty simple rule, that should always be remembered
Chapter 2
Script:
Palito: Hi Magdalena!
Magdalena: Hi Palito!! How are you? How is it going?
Palito: uuuhhmm...I'm having a trouble about solving our Algebra homework.
Magdalena: Ooohh..i see, you're having a problem about combining like terms and distributive property.
Palito: right, cause i don't understand it very well.
Magdalena: Okay, do you need help? I can help you.
Palito: Really?, can you help me with this problem.. n + 3 - 5n + 12
Magdalena: oohh,, it's easy man..
Palito: really? but I can't get it.
Magdalena: the answer is -6n + 15
Palito: Oh okay, but i dont know how to solve it.
Magdalena: first, find the like terms and then regroup it.
Palito: so, n - 5 and 3 + 12 the like terms, right?
Magdalena: right, and then after finding the like terms and regrouping it, we could already simplify it, and bring us to the answer -6n + 15
Palito: Oh i see, now I could understand combining like terms, but I have left another problem, the distributive property.
Magdalena: yoo man, that's pretty easy.
Palito: I don't think so man.
Magdalena: yah man, it's easy, try to answer this question.. 2 + 4 (3n + 8)
Palito: uuhhhmm.. Let me think for a while.
Magdalena: Okay man, go for the gold, you can do it, think!!!
Palito: uhhmm.. according to my knowledge.. the answer is 12n + 10
Magdalena: sorry man, i think your knowledge is wrong, but peace man, spread the love man, the answer is 12n + 34
Palito: how could that be? Can you tell me how to do it right??
Magdalena: yah sure, why not?
Palito: Okay, I'm listening...
Magdalena: first, leave the 2 and then you should multiply 4 and 3n and then multiply 4 and 8, and it could led us to the answer 12n + 32, and then combine the like terms and it'll led us to the answer 12n + 34. Got it??
Palito: Ooh yah!!, now iI understand it, it's pretty easy like what you've said. I thank you very much for helping me. THANK YOU SO MUCH!!
Magdalena: Holy!!! No problem, I love helping my friends!
Today in class Mr.Harbeck gave us a green booklet,and we tackled about adding and subtracting integers in standard form. For our homework Mr.Harbeck assigned us to do the part 1 (1-20) and part 2 (even numbers only).
In some cases in the part 2 , you should re-write the question first and then add the opposites and you must also have to remove the"diapers" or parenthesis or something like Mr.Harbeck said...
There were green bottles everywhere. Four walls of big green bottles.
They were neatly piled upon each other, thirty feet high, with their caps pointing inward at him like accusing fingers. There was something floating inside them. It could be anything; water, booze or gasoline. He had never seen bottles like these before. He looked up. The color was white above the bottles. It could be a ceiling, it could be fog. He was not cold. The bottles were surrounding him on every side. There was about thirty feet between the walls in every direction, leaving him sixty square feet to dwell in. He was trapped. Trapped for real. If anyone in mankinds great history ever had been trapped, it was for sure him, right now. Slowly he sat down in the sand in the center of this happy place. He didn't remember when, or if, he'd ever gotten up. Actually, he couldn't remember anything. Anything at all. Was there anything to remember? The situation looked even worse from this point of view. The bottles lay uneasy on the sand. This could not be the optimum place to build thirty feet high bottle walls, he thought. He didn't feel too good. He feared the bottles at any given time, would choose to come tumbling down and crush him, as well as themselves, into smithereens. He dug his hands into the sand and let it seep through his fingers. Repeatedly. He sat like this for a while, trying to erase the bottle walls from his mind. The sand was soft, and easy to play with. He began to relax. He almost felt good watching his fingers with half closed eyes as they worked the sand. He had pretty fingers, he thought, smiling a little. Suddenly he stopped. The green walls came back to him. He raised his head. Even the caps were green he noticed. He emptied his hands and buried his head in them, rocking it slowly."what am I doing in a crazy,dreamlike place like this",he mumbled sore. Something inside him ordered him to stop whining and start thinking. He stopped the rocking, and started reluctantly to think. Time moved along, but he didn't even come close to a reasonable answer..... or anything. Thinking felt like running in a dream. He tried to focus. There was no way he would find an answer to why he was here, but his dim mind maybe could stumble over an answer to how he could get out. At least he was pretty sure it could tell him if he could get out. He rose and went over to one of the walls to inspect these strange bricks. But as he came closer, the movement in the sand made by his feet disturbed the bottles. He heard them stroke each other brutally as the ground changed underneath them. He froze. And slowly, slowly he backed to his safe spot in the center. He sat down carefully with a sigh, but didn't dare to breathe before the bottles fell to peace. He sat dead calm for a long while. Didn't do anything to upset the bottles again. He was waiting. He was making himself ready for his next step. Not that it was a good move, but he couldn't go on leaving it untried. At last he slowly got to his feet. Standing he tilted his head upward. Not a sound. He filled his lunges, raised his head, and shouted the best and loudest he could; - HEEELP!!!. then he heard something strange. . "you have to solve this problem to get out of here. . .hahaha . ! ."..
"Who are you? What problem is that?. ."he said . .
then suddenly a golden bottle appear in front of him ...
and he open it and saw a question inside.......
he was surprised at the question........
and he remembered that he already studied about that.....
and he answered it very quickly...
he answered it correctly..
then he heard the strange voice again. . . .
"hahaha..very well then..you're correct...you can already get out of this place like hell..hahaha..!.."
then. . . he saw a very big door with a bright light and he approach it quickly. . .
the door opened. . .
and suddenly when he entered he felt unconsciously and when he was awaked,he had nothing to remember for what has really happened to him .. . . . . . .
This formula is the Pythagorean Theorem. Pythagoras discovered this theorem.
This triangle is a R.A.T. or Right Angled Triangle. The longest side of this triangle is called Hypotenuse or letter "C", the other two sides are called Theta and Beta.
After Additive, we already proceed to the Subtractive Equations. Subtractive Equation's steps are the same with the additive.
note: as you can see, subtractive equation slightly different from additive because the constant of the subtractive equation is negative. . .
