Unit 7- Parameters
edited
... When parameter A is equal to 1 the line (curve) on the graph will STAY STRAIGHT
If parameter…
...
When parameter A is equal to 1 the line (curve) on the graph will STAY STRAIGHT
If parameter B is negative the line will disapear.
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Unit 7- Parameters
edited
Heres a Review for all of ya'll
At the beginging of the course we had explored the linear functi…
Heres a Review for all of ya'll
At the beginging of the course we had explored the linear function family which was defined by the equation
y= mx+ b
we have studied the roles of parameters m and b. What we found was that no matter the numbers we used to preplace either m or b our graphs had straight lines.
In this section we will explore a different equation.
y= a x b^x
( y equals a times b to the power of x)
Parameter A- is the coefficient
Parameter B- is the base
in this unit we will explore the roles of parameter a and b
When parameter B is positive the line (curve) on the graph will INCREASE
When parameter B is negative the line (curve) on the graph will DECREASE
When parameter B is equal to 1 the line (curve) on the graph will STAY STRAIGHT
When parameter A is positve the line (curve) on the graph will INCREASE
When parameter A is positive the line (curve) on the graphh will DECREASE
When parameter A is equal to 1 the line (curve) on the graph will STAY STRAIGHT
If parameter B is negative the line will disapear.
Unit 6 - System of Equations
edited
Here is a link for an explination of substitution: http://www.purplemath.com/modules/systlin4.htm …
Here is a link for an explination of substitution: http://www.purplemath.com/modules/systlin4.htm
enjoy the purpleness =)
Alright here we go!!!
Solving Systems of Equations Stratagies:
Name: Substitution
Steps:
1. Isolate a variable with a coeficient of 1 by rearranging the equation.
2. Substitue the expression into the other equations for the isolated variable
3. Solve the equation
4. Substitute you arnswer back into the isolated equation and solve for the other variable.
Example:
Felix and Fay have a total of $2000. Felix has $250 more than fay. How much does Felix have? How much does Fay have?
Equation 1: x+y=2000
Equation 2: x=250+y
x+y=2000
-x -x
y=2000-x
---------------------------------------------
x=250+(y)
x= 250 + (2000 - x)
x=2250 - x
2x=2250
x=1125
---------------------------------------------
1125= 250 + y
875=y
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(1125,875)
Solving Systems of Equations Stratagies:
Name: Graphing
Steps:
1. Create a table of at leaste three point by choosing smart x values and solve for y
2. Use y- intercept and rise over run
3. Calculate intercepts using intercept table.
Example;
Incert both equations into calculators y= button and then graph
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Solving Systems of Equations Stratagies:
Name: Elimination
Steps:
1. To arrange the equations with like terms in columns
2. Multiply one or both equation by a number to obtain opposites for one variable
3. Add like terms to eleminate one variable.
4. Solve for remaining variable
5. Substitute into one of the original equations and solve for the other variable.
Example;
4x-5y=-19
3x+7y=18
------------------------------------------
-3[4x-5y=-19]
4[3x+7y=18]
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12x-15y=-57
12x+28y=72
43y=129
y= 3
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4(x)-5(3) = -19
4x - 15= -19
4x= -4
x=-1
(-1,3)
Postive Correlation-
When the independent variable increases, the dependent variable also increases. NegatviveNegative Correlation-
When the independent variable increases, the dependent variable decreases.
No correlation-
...
Interpalation-
A prediction within your set of data
Linear Regression-
A statistic based technique that best defines a line of certain points- also known as a trend line; these are useful for predictions. :)
Here are some super aweosme and helpful videos about trend lines/scatter plots/ and a little about help with graphing calculators :D
http://www.youtube.com/watch?v=U0wMJ-Cq9Ec
http://www.youtube.com/watch?v=Ypgo4qUBt5o&feature=related
Topic; Scatter Plots and Trend Lines
Correlation-
An indication of a predictive relationship between two variables. another way to define *correlation* is
Represents the likelihood that one variable is related to another.
Postive Correlation-
When the independent variable increases, the dependent variable also increases.
Negatvive Correlation-
When the independent variable increases, the dependent variable decreases.
No correlation-
There is no relationship between the variables.
Causation-
A relationship between an event (the cause) and the second event ( the effect) where the second event is a consequence of the first.
Strong/Weak-
How well does a line predict the relationship.
Extrapolation-
A prediction outside of your set of data.
Interpalation-
A prediction within your set of data
Unit 4 - Linear Functions
edited
... http://www.google.com/url?url=http://www.youtube.com/watch%3Fv%3D-8yM86_1fC4&rct=j&sa=…
...
http://www.google.com/url?url=http://www.youtube.com/watch%3Fv%3D-8yM86_1fC4&rct=j&sa=X&ei=J9Z-Ta20GISxcf6eyN8G&ved=0CDQQuAIwAw&q=slope+intercept+form+to+standard+form&usg=AFQjCNH4uq_sApT9vRrHVF6wK_OJ0RN_eA
http://www.google.com/url?url=http://www.schooltube.com/video/364effbf942c126ef6b9/Converting-Standard-form-to-SlopeIntercept-form-by-Denny&rct=j&sa=X&ei=ytd-TauMO8v0sgb8qdHfBg&ved=0CDsQuAIwBA&q=slope+intercept+form+to+standard+form&usg=AFQjCNEts9OtNAZTYR0cYQ9nmTVoV2OOeg
Game Websites
http://www.coolmath.com/crunchers/algebra-problems-solving-equations-1.htm
-this game helps you solve simple linear equations (you solve for x)
http://funbasedlearning.com/algebra/graphing/lines/default.htm
-this gme helps you plot points and draw lines. it also help you find the points by making a table
