Interactive Power PointBasic Functions in math- Secondary Education :

Interactive Power PointBasic Functions in math- Secondary Education Stephanie Barnard
ED205-11 quit functions

Slide 2:

I would use this to supplement the lesson. I would talk about each function more in-depth while going through the PowerPoint. This would also work as a quick review for students. quit functions

Main Slide :

Main Slide Definition of a function
Video about functions
Examples of plots
Examples of plots and equations that are not functions
Examples of equations that are functions quit functions

Slide 4:

Check out this video, entitled “Introduction to Functions.”
http://www.youtube.com/watch?v=VhokQhjl5t0 quit functions

Definition of a function :

Definition of a function “A function is a set of ordered pairs (x,y) in which each value of x is paired with exactly one value in y” FST book
For each (x,y) there is only one y value that corresponds to each x value. quit functions

Tangent functions Cos(x)=y
Sin(x)=y
Tan(x)=y
Periodic functions repeat themselves.
Sine’s and cosine’s period is 2π
Tangent’s period is π quit functions

cosine :

cosine quit functions Tangent
functions

sine :

sine quit functions Tangent
functions

tangent :

tangent The vertical lines do not exist, the computer can not plot graphs with asymptotes. quit functions Tangent
functions

Logarithmic functions :

Logarithmic functions Log(x)=y means 10^y=x
Ln(x)=y means e^y=x quit functions

Log(x) :

Log(x) quit functions Logarithmic
functions

Ln(x) :

Ln(x) quit functions Logarithmic
functions

constant :

constant F(x)=y=k, where k is any real number. For al inputs, the output is always k.
F(x)=2
F(x)=-2 quit functions

Exponential :

Exponential In the form of y=a*b^x, where a and b are real numbers. The y-intercept is a.
Y=2^x
Y= 5*3^x
Y=-2*2^x
Y=5*-2^x quit functions

Y=5*-2^x :

Y=5*-2^x quit functions Exponential
functions

Y=-2*2^x :

Y=-2*2^x quit functions Exponential
functions

Y= 5*3^x :

Y= 5*3^x quit functions Exponential
functions

Y=2^x :

Y=2^x quit functions Exponential
functions

quadratic :

quadratic In the form of y=a*x^b
Y=X^2 y=x^(-1)= 1/x
Y=-2*x^5 y=x^(-2)=1/(x^2)
Y=x^3
Y=x^(1/2)
If b is even then it looks similar to x^2. Where the graph is a parabola. If a is positive it opens up, if a is negative then it opens down.
If b is odd then it take on a quit functions

Y=√x= x^(1/2) :

Y=√x= x^(1/2) Y=√x is also a quadratic because √x = x^(1/2) quit functions Quadratic
functions

Y=x^3 :

Y=x^3 quit functions Quadratic
functions

Y=-2*x^5 :

Y=-2*x^5 quit functions Quadratic
functions

Y=X^2 :

Y=X^2 quit functions Quadratic
functions

Linear functions :

Linear functions In the form of f(x)=y=ax+b, where a and b are real numbers. The y intercept is b. the x intercept is –b/a
Y=2x
Y=x+5
Y=-5x-3 quit quit functions

Y=2x :

Y=2x quit quit functions Linear
functions

Y=x+5 :

Y=x+5 quit quit functions Linear
functions

Y=-5x-3 :

Y=-5x-3 quit quit functions Linear
functions

Graphs for functions :

Graphs for functions quit quit functions

Examples of graphs and equations that are not functions :

Examples of graphs and equations that are not functions y^2=x X=3 X^2+y^2=1 quit quit functions

Resources :

Resources Pictures: http://www.wolframalpha.com/
video: http://www.youtube.com/watch?v=VhokQhjl5t0
Text: Senk, Sharon, ed. Functions, Statistics, and Trigonometry. Second Edition. The University of Chicago School Mathematics Project. Glenview Illinois: Addison Wesley Longman: 1998. quit quit functions

Author’s Slide :

Author’s Slide Stephanie Barnard
I am a mathematics with an emphasis in secondary education major at Grand Valley State University.
Click to Email me quit quit functions

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By: jm19 (114 month(s) ago)

great job...can i download it?