This is a place for the community of learners in Room 8-41 to learn and enjoy math. It is an extension of the classroom making it accessible 24 hours a day, 7 days a week.
Thursday, May 19, 2011
Vincent's Math Questions Page 339 6-9
Wednesday, May 18, 2011
Patrick's Math Questions Pg. 339, 10-12
Monday, May 9, 2011
Leea's Algebra Post
Algebra- writing mathematical phrases using letters to represent numbers
Variable- a letter that represents a number in an algebra equation or expression
Constant- integer in an algebra expression or equation
Equation- only has one answer and has an equal sign (=)
Expression- has a pattern, many answers
Variable- a letter that represents a number in an algebra equation or expression
Constant- integer in an algebra expression or equation
Equation- only has one answer and has an equal sign (=)
Expression- has a pattern, many answers
1) Isolate the variable
2) Cancel the constant using zero pair
3) Balance - d
o the same operation
on the other side of equal sign (=)
4)Verify to c
heck
Green (positive) or White (negative)
Solving One-Step Equations:
Question#1
Question# 2
X+2=3
Question#3
Question#4
Here are some links to help you :
http://www.analyzemath.com/intermediate_algebra/questions_1.html
http://www.analyzemath.com/intermediate_algebra/questions_1.htmlhtml
http://tutoring.sylvanlearning.com/eighth_grade_math_algebra.cfm
Youtube Videos Links:
http://www.youtube.com/watch?v=G6fPIVeS_-A&feature=fvwrel
http://www.youtube.com/watch?v=etQZMd0xqKE&NR=1
Sunday, May 8, 2011
Kim's Algebra Post
Variable - a letter that represents a number in an equation or expression. ex. n+6=14
Constant - the integer in an algebraic expression or equation. ex. n-10=7
Expression - pattern- many answers. ex. 2x
Equation - only has one answer, has an equal sign. ex. 2x=6
One-Step Equations
Steps:
1) Isolate the variable.
2) Cancel using the opposite
-constant is cancelled with zero pair
3) Balance - do the same operation on the other side of the = sign.
4) Verify to check.
Addition Question
Subtraction Question
Multiplication Question
Division Question
Algebra Tiles
- Isolate the variable
- Cancel the constant using zero pair
- Balance - do it to the other side
- Verify to check
Addition
Subtraction
Multiplication
Division
Two-Step Equations
Steps:
1) Isolate the variable.
2) Cancel the constant.
3) Balance.
4) Simplify the variable.
5) Balance.
6) Verify.
Verify to check.
Using Algebra Tiles To Solve Two Step Equations
Algebra Tiles
One-step Equations Video
Two-step Equations Video
Shane's Algebra Post
Algebra - Writing mathematical phrases using letters to represent numbers.
Example: n+6=14
x-6=3
Variable - a letter that represents a number in an equation or expression
Example: a+11=20
Constant = the integer in an algebraic expression or equation
Example: 18+m=8
Expression -pattern -many answers
Example: 3x
Equation - only has one answer and an equal (=) sign
Example: 3x=9
Solving a One Step Equation:
1st Isolate the variable
2nd Cancel the constant using zero pair
3rd Balance - do it to other side
4th Verify to check
One Step Equations and Models
Solving a Two Step Equation
1st Isolate the variable
2nd Cancel the constant
3rd Balance
4th Simplify the variable
5th Balance
6th Verify
Two Step Equations and Models
Example: n+6=14
x-6=3
Variable - a letter that represents a number in an equation or expression
Example: a+11=20
Constant = the integer in an algebraic expression or equation
Example: 18+m=8
Expression -pattern -many answers
Example: 3x
Equation - only has one answer and an equal (=) sign
Example: 3x=9
Solving a One Step Equation:
1st Isolate the variable
2nd Cancel the constant using zero pair
3rd Balance - do it to other side
4th Verify to check
One Step Equations and Models
Solving a Two Step Equation
1st Isolate the variable
2nd Cancel the constant
3rd Balance
4th Simplify the variable
5th Balance
6th Verify
Two Step Equations and Models
Paulo's Algebra Post
Variable - a letter that represents a number in an algebraic equation or expression
Constant - the integer in an algebraic expression or equation
Expression - pattern, many answers ex. 5x, 5x5
Equation - only has one answer, has an equal sign ex. 5x=25, 5x5=25
Steps:
1) Isolate the variable.
2) Cancel using the opposite of the number. ex. (+2)'s opposite is (-2)
3) Constant is cancelled with the zero pair.
4) Balance, do the same operation on the other side of the = sign.
5) Verify to check. (equality)
One Step Equations
x+2=2
x+[2-2]=[2-2]
x=0
Verify:
x+2=2
0+2=2
2=2
6=2x
6/2=2x/2
3=x
Verify:
6=2x
6=2(3)
6=6
Two Step Equations
7=4x+3
[7-3]=4x+[3-3]
4/4=4x/4
1=x
Verify:
7=[4x1]+3
7=[4+3]
7=7
2x+1=5
2x+[1-1]=[5-1]
2x/2=4/2
x=2
Verify:
[2x2]+1=5
[4+1]=5
5=5
Solving One Step Equations
Anabelle's Algebra Post
Algebra- writing mathematical phrases using letters to represent numbers
Variable- a letter that represents a number in an algebra equation or expression
Constant- integer in an algebra expression or equation
Equation- only has one answer and has an equal sign
Expression- has a pattern, many answers
_______________________________________________________
Adding and Subtracting
Whether we are adding, subtracting, multiplying, or dividing we start off by isolating the variable.
Let's start off with an addition problem.
v+8=26
How we isolate the variable is to make a zero pair to cancel out the constant. Try not to think of +8 as add eight, but instead think of it as positive eight. To cancel a positive eight we need a negative eight.
Remember, what we do to one side, we do to the other side.
Then what we have left is the v on one side and 18 on the other.
The same rules apply for a subtraction problem, but instead we cancel the constant with a positive integer.
The only thing left to do is verify to check.
Plug in the number in place of the letter.
Then show equality.
_______________________________________________________
Multiplying and Dividing
10n=40
To be able to isolate the variable of a multiplication problem we will divide and do the same to the other side.
Next, verify to check.
x/2= 5
Isolate variable.
Cancel using opposite.
Then, verify to check.
_______________________________________________________
Integer Tiles
Now, we will solve these problems using integer tiles.
*NEVER USE ALGEBRA TILES TO VERIFY TO CHECK
x+2=3
Start by changing the problem to what it would look like using integer chips.
Using the same concept we'll cancel the constant using zero pairs. In the case we cancel two +1 tiles using two -1 tiles. With what's left is how much the x tile is worth.
x2=6
1. Zero pair
2.Simplify
3.Answer
-2x=4
1. Zero pair
2.Simplify
We need to switch the final answer around by multiplying -1 on both sides.
x/2=5
When representing x you'll cut it in half .
You then add the other half making the x complete, and remember the rule of equality. You add another half then you add another set of tiles.
______________________________________________________
Solving 2 step equations
2x+1=7
1.Isolate the variable starting off with with the addition/subtraction part
2.Cancel constant
3.Balance
4.Simplify the variable
5.Balance
6.Verify
x/2+2=6
1.Isolate the variable starting off with with the addition/subtraction part
2.Cancel constant
3.Balance
4.Simplify the variable
5.Balance
6.Verify to check
If you're still having trouble have a look at this video.
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