Friday, March 22, 2013

Luis' Unproject

Please click the link below to start the presentation. Press the left or right arrows located at the bottom of the window to progress through-out the presentation.

http://prezi.com/zzfcrpqhlq2z/untitled-prezi/?kw=view-zzfcrpqhlq2z&rc=ref-14178187

Thursday, March 21, 2013

Ashlyn's Unproject

This is my proof that I know how to do algebra. 3 questions that I have created to show how I understand how to do 2 step algebra.
The first type of algebra equation that I will solve is a 2 step multiply. The equation that I have created is 9x - 10 = 53. Here's the solvation of Question 1.

9x - 10 = 53
You always start by writing the equation out as is before isolating the variable.
9x - 10 + 10 = 53 + 10
Time to start isolating the variable. You start with the constant (Definitions are at the end). Since you        performed an operation on one side, you have to reflect that action on the other side to make it equal.
9x = 63
Now you simplify the equation.
9x = 63
9       9
Dividing the first side by the coefficient (Definitions are at the end) will fully isolate the variable, and we balanced the equation by dividing by 9 (The coefficient).
x = 7
We have re - simplified the equation and have a value for x. But we are not done. We must verify (or prove) x = 7 in this equation.
9x - 10 = 53
You must always re write the equation first when verifying or it will count as incorrect (Believe me, I know).
9(7) - 10 = 53
Substitute your variable for the value you found, as you are testing to see if it is the correct value. You must put brackets around the substituted value, or it will look like 97, not 9x7.
63 - 10 = 53
First we multiply, just like in BEDMAS, because we need a value to subtract from, and if you try to subtract 10 from 9(7), the equation will be incorrect.
53 = 53
You have finished solving the equation and both sides are equal, so in this case, x = 7. This equation is solved, but we still have 2 more to solve.

Now we have to solve a 2 step divide, like this one.
y + 11 = 18
7
You must write out the equation before isolating the variable.
y
7 + 11 - 11 = 18 - 11
You must start by getting rid of the constant, by performing the opposite operation. To balance the equation, redo that action on the other side of the equal side.
y = 7
7
Now to simplify the equation as we go on and undo the coefficient.
7y = 7(7)
7
We multiply both sides by the coefficient, on the first side, the variable will be isolated, and on the other side, the same function is performed to balance the equation.
y = 49
We simplify the equation once again and have a value for the variable. But before we call it a wrap, we have to verify.
y+ 11 = 18
7
Don't forget to write out the equation first.
49 + 11 = 18
7
Now we substitute the variable and put it's new found value in its place to see if it is correct.
7 + 11 = 18
In BEDMAS, we always go with multiplication/division before addition/subtraction. When we are looking for the variable's value, we must do the reverse BEDMAS, or SAMDEB.
18 = 18
If both sides of the equation are equal, then you have correctly solved the equation. If not, re-read this and figure out where you went wrong.

There is still one more type of 2 step algebra equations that must be taught. It is called a distributive equation. Here's an example:
3(a - 40) = 150
There are 2 ways to solve an equation like this, but I'll do the one I find easier to do.
3(a - 40) = 150
Like every algebra equation, you must write out the question, then do the reverse BEDMAS.
3(a - 40) = 150
3                3
First we divide by 3, then we can work on the brackets.
a -40 = 50
Now it's time to simplify. Make sure you don't skip steps because you already solved it mentally, you should always follow through to be as accurate as possible.
a - 40 + 40 = 50 + 40
Now we undo the work of the constant by using its zero pair. Always perform the operation on both sides of the equation or it will not work when you verify.
a = 90
Equation solving is done, value of variable found, and all that's left to do for this equation is verification.
3(a - 40) = 150
Don't forget, like always, the equation has to be rewritten.
3(90 - 40) = 150
Substitute the variable for its value to check if it's the correct answer.
3(50) = 150
Solve the brackets first, before multiplying. Like most questions, verification requires you to perform BEDMAS, not SAMDEB.
150 = 150
You have properly solved the equation at hand if you have solved to equality.

You may have noticed some words in blue. What's up with that? Those are the words that must be defined.

variable: A letter in an algebra equation that represents an unknown value.
constant: A number that remains the same throughout the equation that is added or subtracted from the value of the variable.
coefficient: A number that is a multiplier to the variable.
verify: To check if the value found for the variable is the correct value in the equation.

If you still don't understand algebra, try to watch this video I found.

If not, then try to go on a good math website. Like this one.

http://www.freemathhelp.com/algebra-help.html

MATH UNPROJECT

Algebra  two step multiply

Visual instructions

Written instructions

1. re-write the question

2 get rid of the constant eg. +2 -2

3. do the opposite operation to isolate (depends on question) eg. 4x
4
X
4 verify (to do the question and substitute the variable) solve to equality

2x+4=14
2(5)+4=14
10+4=14
14=14

Algebra  two step divide

Visual instructions

Written instructions

1. re-write the question

2 get rid of the constant eg. +2 -2

3. do the opposite operation to isolate (depends on question) eg.  (3)  m
3     = 5(3)

4 verify (do the question and substitute the variable) solve to equality

M
3    +2 =7

15
3   +2 =7

5  + 2 = 7

7=7

Distributive property

Visual instructions

Written instructions

1. re-write the question     4(x 4)

2 Take the number to the left and muliply the stuff in the brackets 4x=16

3. do the opposite operation to isolate (depends on question)     4x  =16
4      4
x   = 4

4 verify (do the question and substitute the variable) solve to equality

4(x 4)
4x=16
4(4)=16
16=16

MODELING INSTRUCTIONS

Monday, March 18, 2013

Ariel's Unproject

This is just a simple game. Here's how it goes, a tutorial will tell you information, then, at the end, there will be a question that will test what you have learned. Answer it correctly, you move ahead, you answer it wrong, you will end up in a mischievous video.

MATH UNPROJECT

Algebra  two step multiply

Visual instructions

Written instructions

1. re-write the question

2 get rid of the constant eg. +2 -2

3. do the opposite operation to isolate (depends on question) eg. 4x
4
X
4 verify (to do the question and substitute the variable) solve to equality

2x+4=14
2(5)+4=14
10+4=14
14=14

Algebra  two step divide

Visual instructions

Written instructions

1. re-write the question

2 get rid of the constant eg. +2 -2

3. do the opposite operation to isolate (depends on question) eg.  (3)  m
3     = 5(3)

4 verify (do the question and substitute the variable) solve to equality

M
3    +2 =7

15
3   +2 =7

5  + 2 = 7

7=7

Distributive property

Visual instructions

Written instructions

1. re-write the question     4(x 4)

2 Take the number to the left and muliply the stuff in the brackets 4x=16

3. do the opposite operation to isolate (depends on question)     4x  =16
4      4
x   = 4

4 verify (do the question and substitute the variable) solve to equality

4(x 4)
4x=16
4(4)=16
16=16

MODELING INSTRUCTIONS

Tommy's Unproject

Important definitions
Co-efficient- Is any certain number that you can multiply a variable withthe co-efficient can be negative or positive.(example) 2x + 1 = 9

Constant- Are any numbers that are a part of the equation. They always stay the same.
(example) 2x +1 = 9

Variable- Is any letter that can represent any unknown number.
( example) 2x + 1 = 9

Steps to solve multiplication equation
1. Isolate the Variable
2. Cancel the Constant
3. Balance
4. Simplify
5. Cancel Coefficient
6. Balane
7. Simplify
8. Verify

2 step multiply

Question
4x+3+3=1

Step 1. 4x+3=18+1 is 4x+1=19
Step 2. 4x+3=19, so you have to cancel the constant, 4x+3-3 = 19-3 = 16
Step 3. 4x=16, Now cancel the coefficient
Step 4. 4x/4 = 16/4
Step 5. x=4

How to solve division equation
1. Isolate the variable
2. Cancel the constant
3. Multiply
4. Verify

2 step divide

Step 1. x/3+6=9
Step 2. x/3+6-6=9-6 = x/3=3
Step 3. (3)x/3=3(3)
x=6

How to solve a distributive equation
1. Multiply whatever is inside the brackets by whats outside the brackets.

Distributive equation
Step 1. 4(x+6)=28
Step 2. 4x+6(4)=28
Step 3. 4x+24=28
Step 4. 4x+24-24=28-24
Step 5. 4x=4
x=1

Solving 2 step equations

And solving distributive equation

Hope this helped you guys thank you for reading this and hope you enjoyed. Im kawaii.

Jessica's Unproject

For my unproject assignment Camille Pasco and I decided to make a PowerPoint on how to do 2 step multiplying, 2 step dividing, verifying, modeling and Solving a Distributive equation.

I Hope you enjoy and understand our presentation :)

Alyssa's Unproject

For this Unproject Diana and I will be showing you how to do two step equation with Dividing, Multiplying, and Distributive.

The steps for the Dividing are:
Isolate the variable. eg.  x/2+6=11 →  x/2+6-6=11
Constant(Zero pair)
Balance it out, meaning what you do to one side you do to the other.  eg. x/2+6-6=11 →  x/2+6-6=11-6
Multiply the denominator with the numerator and what you do to one side you've got to do with the other.
eg. (2)x/2=5(2) → x=10

The steps for the Multiplying are:

Isolate the variable
Cancel the constant
Balance
Simplify
Cancel co-efficant (multiply or divide)
Balance
Simplify
eg.
Ax+ b=c
3x+4=10
3x+4-4=10
3x = 6
3      3
X=2
3x+4=10
3(2)+4=10
6+4=10
10=10

What you have to do for Distributive Property:
You multiply the variable and the constant inside the bracket with the co-efficant number
eg. 3(x-8)=12
the 3 is what you multiply by
the x-8 is what you multiply
x-8
x-8
x-8
8x3= 24
24-8x=12

Diana's Unproject

In this unproject, Alyssa and I will be showing you how to do 2 step equation with dividing, multiplying, and distributive.

The steps for the dividing are:
Isolate the variable. Eg: x/2+6=11 ---> x/2=6-6=11
Constant (zero pair)
Balance it out, meaning what you do to one side you do to the other. Eg: x/2+6-6=11-6
Multiply the denominator with the numerator and what you do to one side, you do to the other.
Eg: (2)x/2=5(2) ----> x=10

The steps for multiplying are:

1) Isolate the variable
2) Cancel the constant
3) Balance
4) Simplify
5) Cancel co-efficant (multiply or divide)
6) Balance
7) Simplify
Eg:
Ax+ b=c
3x+4=10
3x+4-4=10
3x = 6
3      3
X=2
3x+4=10
3(2)+4=10
6+4=10
10=10

What you have to do for Distributive Property:
You multiply the variable and the constant inside the bracket with the co-efficant number eg:
3(x-8)=12
The 3 is what you multiply by
The x-8 is what you multiply.
x-8
x-8
x-8
8x3=24
24-8=12
12=12

Leif's Algebra Project

Leif''s Algebra Unproject
Here is the video on how to solve some algebra questions there will be 2 step multiplication, answer checking, Modeling 2 step multiplication, and distributive. Enjoy!!!

2 step Multiplying
step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Simplify
You just have to substitute your answer with the variable in your question and solve it like a BEDMAS question

Modeling
1. Model The question
2. Cancel the constant
3. Balance

Note: The answer was x = 6 i got cut off on my last few words

2 Step Divide

step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Distributive
1.Multiply the coefficient by the variable
2. Multiply the coefficient by a constant
3. Solve like a 2 step question

step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Thanks for Watching!!!

Director: Harvey Cabarlo & Leif Refvik

Main character: Billy Gene

Side Characters: Susan Leblanc
Jax Johnson
Professor
Future Billy

Harvey's Algebra Unproject

Harvey's Algebra Unproject
Here is the video on how to solve some algebra questions there will be 2 step multiplication, answer checking, Modeling 2 step multiplication, and distributive. Enjoy!!!

2 step Multiplying
step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Simplify
You just have to substitute your answer with the variable in your question and solve it like a BEDMAS question

Modeling
1. Model The question
2. Cancel the constant
3. Balance

Note: The answer was x = 6 i got cut off on my last few words

2 Step Divide

step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Distributive
1.Multiply the coefficient by the variable
2. Multiply the coefficient by a constant
3. Solve like a 2 step question

step 1: Isolate the variable
step 2: Cancel the constant
step 3: Balance
step 4: Simplify
step 5: Cancel the coefficient
step 6: Balance
step 7: Simplify

Thanks for Watching!!!

Director: Harvey Cabarlo & Leif Refvik

Main character: Billy Gene

Side Characters: Susan Leblanc
Jax Johnson
Professor
Future Billy

Camille's Algebra Unproject

For my unproject assignment Jessica Hartog and I decided to make a PowerPoint on how to do 2 step multiplying, 2 step dividing, verifying, modeling and Solving a Distributive equation.

Here is the link to the PowerPoint :)

I Hope you enjoyed and understand our presentation :)

Lance's Algebra Unproject

Here is a short comic about Math

Here is the Link to the Math Book(Sorry I couldn't embed it because the powerpoint was too big)

Jandro's and Soklang's unproject

2 step Multiply 2x+1=9 The first thing we should do in a 2 Step Multiply is to Isolate the Variable and this is what it should look like. 2x+1-1=9-1 Now that we have done this, 2x = 9-1 which is 2x = 8 9 Now that we have we have 2x = 8 we must do the opposite operation to get the value of x. Since 2x is multiplying, we must divide 2x by 2 and do the same to 8. The result we end up with would be x = 4. If you were to write it down it would look like this. 2x = 8 2x / 2 = 8 / 2 x = 4 Now we must Verify our theory 2x + 1 = 9 2(4) + 1 = 9 8 + 1 = 9 9 = 9 We also have to model this equation too and this picture will show you how: And that is how we solve 2 Step Multiply equations. 2 Step Divide x/2 + 4 = 9 What we must do is isolate the variable again. The steps are very similar to 2 Step Multiply. Since there is a positive 4, we must do the opposite operation and subtract 4 from 4 and subtract 4 from 9. x/2 +4-4 = 9 - 4 x/2 = 5 And now since theres division in this equation we must do the opposite operation which is Multiplication This is what it would look like: (x/2) x 2 = 5 x 2 x = 10 Now we must verify our answer again ( Note: We must Verify all the time in all algebraic equations) x/2 + 4 = 9 (10) / 2 + 4 = 9 5 + 4 = 9 9 = 9 That my friends is how we solve 2 Step Divide equations Distributive 2(x+4) = 10 For Distributive, we must multiply whatever is inside the brackets by whats outside of the brackets. In this case it would be 2 x (x) and 2 x 4. After you have done the steps, it should look like this: 2 x (x) = 2x 2 x 4 = 8 2x + 8 = 10 Now that we have a 2 Step Multiply Equation, all we have to do is the steps to solve a 2 Step Multiply Equation. The steps should look like this: 2x + 8 - 8 = 10 - 8 2x = 2 2x / 2 = 2/2 x = 1 Now we must Verify our answer. 2( x + 4) = 10 2 ( 1 + 4) = 10 2 (5) = 10 10 = 10 And that is how we do Distributive Equations!!!!! Important Vocabulary Words Co-efficient- Is any certain number that you can multiply a variable with, the co-efficient can be negative or positive.(example) 2x + 1 = 9 Constant - Are any numbers that are a part of the equation. They always stay the same. (example) 2x +1 = 9 Variable- Is any letter that can represent any unknown number. ( example) 2x + 1 = 9 If you are still having trouble with 2 step multiply and division, I suggest you watch this:) http://www.youtube.com/watch?v=HyUiYeLee3g If you are still having trouble with Distributive Property I suggest you watch this video:) http://www.youtube.com/watch?v=zv4qbeLok-M thank you for looking at our unproject. Jandro and i had a great time doing this.

Jamdro and Sok Langs Unproject

" Unproject" Project
By: Sok Lang Pov and Jandro Austria

2 step Multiply

2x+1=9

The first thing we should do in a 2 Step Multiply is to Isolate the Variable and this is what it should look like.

2x+1-1=9-1

Now that we have done this, 2x = 9-1 which is 2x = 8
9
Now that we have we have 2x = 8 we must do the opposite operation to get the value of x. Since 2x is multiplying, we must divide 2x by 2 and do the same to 8. The result we end up with would be x = 4. If you were to write it down it would look like this.

2x = 8

2x / 2 = 8 / 2

x = 4

Now we must Verify our theory

2x + 1 = 9

2(4) + 1 = 9

8 + 1 = 9

9 = 9

We also have to model this equation too and this picture will show you how:

And that is how we solve 2 Step Multiply equations.

2 Step Divide

x/2 + 4 = 9

What we must do is isolate the variable again. The steps are very similar to 2 Step Multiply.  Since there is a positive 4, we must do the opposite operation and subtract 4 from 4 and subtract 4 from 9.

x/2 +4-4 = 9 - 4

x/2 = 5

And now since theres division in this equation we must do the opposite operation which is Multiplication

This is what it would look like:

(x/2) x 2 = 5 x 2

x = 10

Now we must verify our answer again ( Note: We must Verify all the time in all algebraic equations)

x/2 + 4 = 9

(10) / 2 + 4 = 9

5 + 4 = 9

9 = 9

That my friends is how we solve 2 Step Divide equations

Distributive

2(x+4) = 10
For Distributive, we must multiply whatever is inside the brackets by whats outside of the brackets. In this case it would be 2 x (x) and 2 x 4. After you have done the steps, it should look like this:

2 x (x) = 2x

2 x 4 = 8

2x + 8 = 10

Now that we have a 2 Step Multiply Equation, all we have to do is the steps to solve a 2 Step Multiply Equation. The steps should look like this:

2x + 8 - 8 = 10 - 8

2x = 2

2x / 2 = 2/2

x = 1

Now we must Verify our answer.

2( x + 4) = 10

2 ( 1 + 4) = 10

2 (5) = 10

10 = 10

And that is how we do Distributive Equations!!!!!

Important Vocabulary Words

Co-efficient- Is any certain number that you can multiply a variable with, the co-efficient can be negative or positive.(example) 2x + 1 = 9

Constant - Are any numbers that are a part of the equation. They always stay the same.
(example) 2x +1 = 9

Variable- Is any letter that can represent any unknown number.
( example) 2x + 1 = 9

If you are still having trouble with 2 step multiply and division, I suggest you watch this:)

If you are still having trouble with Distributive Property I suggest you watch this video:)

( I could not post the video because firefox and windows explorer would not let me post but only let me link the videos.....sorry D: )

Well we hope you enjoyed our presentation and we hope we have helped you understand Algebra- From your wonderful classmates, Sok Lang and Jandro :)

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