Dharyll+F+and+Jordan+B





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Algebra
Algebra is the part of mathematics where numbers are represented as letters and symbols. These letters and symbols are called variables. An algebraic equation is like a scale, what you do the one side you do the same to the other side.  Variable : Is a letter that represents a number E.G. 2-1=X, X=1 1-2=X, X=-2 1+(-1)=X, X=0 When your subtracting a number by a bigger number your answer should be an integer. If you have the same positive and negative numbers then you can create a zero pair (like the one shown up).

Integers and Zero Pairs
Intergers are whole numbers that are positive or negative and includes zero. A zero pair is a set of two integers that are inverse, eg. -1 and 1, -2 and 2. A zero pair always equals zero because they cancel each other out. E.G. 1-1 is simplified as 0 2X-1X+1X+1-1 is simplified as 2X 1,-1 is a zero pair, so is -1X, 1X

<span style="color: rgb(17, 86, 182); font-family: 'Courier New',Courier,monospace">Algebra Tiles
<span style="font-family: 'Courier New',Courier,monospace">Algebra tiles are known as Math tiles, Algetiles and Virtual tiles.. Algetiles helps you solve algebra questions by using small tiles. The tiles we used had a positive and a negative side, they can be coloured differently, (white for positive and green for negative or other colors). We named the smallest tile +1 and -1 for the green side. For the skinny tile we called it +X and -X for the dark side.<span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(17, 86, 182)">

<span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(17, 86, 182); font-family: 'Courier New',Courier,monospace">2 Step Equation
<span style="font-family: 'Courier New',Courier,monospace">Two Step Equation is a way to solve equations with more than one operation. To simplify an algebraic equation use the inverse of addition or subtraction (if there's one) and by using the inverse of multiplication or division (if there's one). Remember, though, what you do to one side you do to the other.

<span style="color: rgb(87, 133, 199); font-family: 'Courier New',Courier,monospace">Algebraic Expressions
<span style="font-family: 'Courier New',Courier,monospace">E.G. Adding A number and two is n + 2

Subtracting A number reduce by four is n - 4

<span style="font-family: 'Courier New',Courier,monospace">Multiplying <span style="font-family: 'Courier New',Courier,monospace">A number times three is n x 3 or 3n or 3 ( n )

Dividing A number divided by six is n/6

<span style="color: rgb(61, 109, 219)">Important Stuff/Ways to solve Algebraic equations:

The number should come first then the variable E.G. 4n = 8

You should check your answer to see if it's right 4n = 8 4 (2) = 8 n = 2 <span style="font-family: 'Courier New',Courier,monospace">When checking go by the order of operation

<span style="font-family: 'Courier New',Courier,monospace">You can use / for division And if two brackets are touching each other or a number/variable touching a bracket it means multiply.

One way to solve an equation... 2n + 3 = 7 - 3 - 3 2n = 4 2/2 4/2 n = 2

Another way... 4n + 6 = 16 + 6 - 6 - 6 4n = 3 4/4 16/4 n = 4

Simplifying... - 8n + (- 5) + (- n) + 5 = 27 - 8n - n + 5 - 5 = 27 - 9n = 27 - 9/-9 27/-9 n = - 3

<span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 96, 190)">Using Equations to solve problems
<span style="font-family: 'Courier New',Courier,monospace">E.G.

How high is a electric pole that is 15 feet taller than a house, combined height is 47?

The electric pole is __31__ feet high. let x = house Pole = 15 + x = 31 House = x = 15 Total height = 15 + 2x = 47 - 15 - 15 2x = 32 2/2 32/2 x = 16

<span style="color: rgb(29, 80, 180); font-family: 'Courier New',Courier,monospace">Solving Equations with 2 variables
<span style="font-family: 'Courier New',Courier,monospace">Subtract 2x from both sides so 1 variable is left <span style="font-family: 'Courier New',Courier,monospace">5x + 2 = 2x + 17 - 2x - 2x Subtract 2 for both sides 3x + 2 = 17 - 2 - 2 3x = 15 Divide both sides by 3 3/3 = 15/3 x = 5

<span style="color: rgb(22, 92, 197)">Solving Geometry Questions E.G. If two equal sides of an isosceles triangle (two eaqual sides) are four times as long as it's base, and the perimeter is 108 m, what's the length of each sides?

Start with a simple answer sentence... The lengths are __12__ m, __48__ m, __48__ m. Always put what x equals to help solve the problem... x should be the one you don't no anything about yet... <span style="font-family: 'Courier New',Courier,monospace">let x = base Now the calculations... base = x = 12 m side 1 = 4x = 48 m side 2 = 4x = 48 m Perimeter = 9x = 108 m 9/9 108/9 x = 12 m You can draw the triangle to help you with the calculations... <span style="font-family: 'Courier New',Courier,monospace">Subtituting... <span style="font-family: 'Courier New',Courier,monospace">9x = 108 9 ( 12 ) = 108 108 = 108 <span style="font-family: 'Courier New',Courier,monospace"> By subtituting you'll know if your right or not

<span style="font-family: 'Courier New',Courier,monospace">E.G.<span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">You wanted to buy the latest game (e.g XBOX, PSP, etc.), the game you wanted costs $322.32 (tax free day).If you work 4 hours a day and make $13.43 an hour, how many **days** should you work until you get enough cash to buy the game?

<span style="font-family: 'Courier New',Courier,monospace">You need to work for __6__ days let n = days 4 x 13.43 = $53.72 53.72n = 322.32 53.72/53.72 322.32/53.72 n = 6

53.72n = 322.32 53.72 ( 6 ) = 322.32 322.32 = 322.32

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<span style="color: rgb(44, 108, 175); font-family: 'Courier New',Courier,monospace">Solving Problems
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<span style="color: rgb(44, 108, 175); font-family: 'Courier New',Courier,monospace">Solving Problems type 2
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<span style="color: rgb(74, 124, 211); font-family: 'Courier New',Courier,monospace">Algebra Game
<span style="color: rgb(22, 104, 197); font-family: 'Courier New',Courier,monospace">media type="custom" key="836901"

<span style="color: rgb(22, 104, 197); font-family: 'Courier New',Courier,monospace">
<span style="color: rgb(22, 104, 197); font-family: 'Courier New',Courier,monospace"> media type="custom" key="846307" (Don't change please, just proceed)

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<span style="color: rgb(22, 104, 197); font-family: 'Courier New',Courier,monospace"> media type="custom" key="846283" Intructions: Pick a game format, you'll then see a question in the page. Answer the question correctly. <span style="font-family: 'Courier New',Courier,monospace"> <span style="color: rgb(18, 114, 181)">

<span style="color: rgb(18, 114, 181)"><span style="font-family: 'Courier New',Courier,monospace">Reflections
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<span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-size: 10pt; font-family: 'Courier New',Courier,monospace">Jordan Bacuno’s Reflection<span style="font-family: 'Courier New',Courier,monospace">       ===== <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"> <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">  <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">Why did you choose the concepts you did for your unproject? <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">Like I know what to say, put a question on the page, and help Dharryll with some other stuff. <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">How does this project provide an overview of your best mathematical understanding of what you have learned so far? <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-size: 10pt; font-family: 'Courier New',Courier,monospace">Did you learn anything from this assignment? <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-size: 10pt; font-family: 'Courier New',Courier,monospace">Was it educationally valuable to you? (Be honest with this. If you got nothing out of this assignment then say that, but be specific about what you didn't like and offer a suggestion to improve it in the future.) <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace">
 * <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">In my case I really understood what I was doing, because I can do the math for algebra.
 * <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">This project really gave have me an understanding, because all year I never was good at math, with all the dividing, multiplying negative numbers. But with algebra this was really easy for me to do. To me it was one of the best things I learned for Mr. Harbeck this year.
 * <span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">I learned a lot from this assignment is like what I typed in the 2 previous questions. It gave me an understanding unlike some other terms we did in class.

<span style="color: rgb(0, 0, 0)"><span style="font-family: 'Courier New',Courier,monospace"><span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace">
<span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace">

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<span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-size: 11pt; font-family: 'Courier New',Courier,monospace">Dharyll's Reflection    ===== <span style="color: rgb(25, 87, 169); font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">Why did you choose the concepts you did for your unproject? <span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">Ermmm …I<span style="font-family: 'Courier New',Courier,monospace"> chose it because it look easy and I can get a lot of information about algebra from websites. It’s also because my group wanted to do it. <span style="font-family: 'Courier New',Courier,monospace">I added two animoto videos that talks about algebra, making the video was a bit tiring but fun. <span style="font-family: 'Courier New',Courier,monospace">The game was pretty boring, though, i had to do it so the site wouldn't look boring.

<span style="font-family: 'Courier New',Courier,monospace">• How do this project provide an overview of your best mathematical understanding of what you have learned so far?

<span style="font-family: 'Courier New',Courier,monospace">When i was looking up  <span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-size: 10pt; font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> websites I found more interesting math stuff. I also get to type what we learned about algebra and tell other people about it like parents, etc. I did kind of bad on some of my tests but this project is fun and it helped me on ways to solve different algebraic equations. <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">• Did you learn anything from this assignment? <span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">I learned a couple from websites that I visited. <span style="font-family: 'Courier New',Courier,monospace">And when I was exploring the other wikis I found more about algebra. <span style="font-family: 'Courier New',Courier,monospace">I found more ways to solve equations, like the switch method and to balance the two sides. <span style="font-family: 'Courier New',Courier,monospace">I also found some tools to make my site better, like pictures videos and other things.

<span style="font-family: 'Courier New',Courier,monospace">Was it educationally valuable to you? <span style="font-family: 'Courier New',Courier,monospace">(Be honest with this. If you got nothing out of this assignment then say that, but be specific about what you didn't like and offer a suggestion to improve it in the future.) <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace"> <span style="font-family: 'Courier New',Courier,monospace">Hrmm… <span style="font-family: 'Courier New',Courier,monospace">Yes, I guess it’s valuable, I’ll need it to pass grade 9 and the other grades. <span style="font-family: 'Courier New',Courier,monospace">I learned to use many tools like A N I M O T O and MyStudiyo. <span style="font-family: 'Courier New',Courier,monospace">I didn’t really got to use my class time nicely because of the slow computers, it would be more productive maybe if we were in the library (or some other class where computers has more memory). <span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace"><span style="font-family: 'Courier New',Courier,monospace">

Add <span style="color: rgb(0, 0, 0)"> //**add total combined more than sum increased all together gain addend plus**//

Subtract <span style="color: rgb(0, 0, 0)"> //**subtract minus reduce takeaway difference subtrahend decreased less than less diminish**//

Multiply //**<span style="color: rgb(0, 0, 0)"> multiply product multiplies factor times groups of number of groups prominent times greater then repeated addition

Divide <span style="color: rgb(0, 0, 0)"> divide quotient percent of dividend divisor half of times less than repeated subtraction **//