Madison Academic High School - Robin Turner
Goal 1 

Identify the major parts of the graph of a function.  ( domain, range, increasing intervals, decreasing intervals, constant intervals, maximums, minimums,and intercepts.)

Essential Questions?




  1. What is GNAW?  Use it to represent a relation/function of your choice.
  2. What is the difference in a relation and a function? How do you distinguish between the two both graphically and symbolically?
  3. What is the domain of a function?  What is the range of a function? What does it mean if they are "unbounded"?
  4. How do you determine when a function is undefined?  What does that look like on the graph?  in the TI-Nspire table? 
  5. What is the importance of the x and y intercepts? Describe them both graphically and algebraically.
  6. Describe the difference in an open and closed interval. How are these notated in an inequality? What is the difference in the two when using interval notation?
  7. What change occurs when intervals within a function change from increasing to decreasing? What are these points called?  Be specific and use algebraic terminology.
  8. When given the equation of a function, how do you determine the family to which the function belongs?



Assignments and Activities
Parts of a Graph
 Videos
Families of Functions 
Quiz 1- 
  • General graphing 
  • Identifying critical parts of a graph 
  • Domain and Range
  • Interval Notation
  • Families of functions.












Goal 2

Represent a piece wise function with a table or graph by evaluating several values of x.   Identify which evaluation rule (which part of the piece wise function) to use for a specific value of x. Write the function rule for a given graph of a piecewise function.



Essential Questions

  1. When is a piece wise function continuous?  discontinuous?
  2. What determines which rule is used to evaluate a value of "x" ?
  3. In the piece wise function notation, what do the inequalities define?
  4. What parts of the piece wise function rule determines the shape of a section?


Assignments and Activities



Quiz # 2
  • General graphing 
  • Identifying critical parts of a graph 
  • Domain and Range
  • Interval Notation
  • Families of functions.
  • Evaluating a piece wise function for given values of x
  • Graphing a piece wise function given the rule
  • Writing the function rule for a given  graph of a piece wise function.
 Websites,Videos, and Documents
VIDEO 3
VIDEO 4
Goal 3


Name the vertex, max or min, and the x and y intercepts of an absolute value function. 

Graph an absolute value function by hand and using technology. 



Essential Questions
  1. What shape is the graph of an absolute value function?
  2. When is the graph of the absolute value function reflected about the x-axis?
  3. Where is the vertex of an absolute value function located? ( graphically, numerically and algebraically) Why is it important? 
  4. What effect do the parameters  a, h, and k  have on the graph of an absolute value function?
  5. When is the vertex a maximum?  a minimum?
  6. What change in the relation would be needed for an absolute value graph to open left or right?  
  7. When is an absolute value relation NOT a function?




Assignments and Activities
 Websites,Videos, and Documents
VIDEO 5
VIDEO 6
Graphing Absolute Value on the CX



Goal 4

Graph a step function by substituting values for x and plotting the points. 


Essential Questions
  1. What is the greatest integer function? 
  2.  What symbol is used to represent the greatest integer function?
  3. What are some real life applications of step functions? Name at least 3.
  4. Is a step function continuous or discontinuous?
Assignments and Activities





Quiz #3-
  • General graphing 
  • Identifying critical parts of a graph 
  • Domain and Range
  • Interval Notation
  • Families of functions.
  • Evaluating a piece wise function for given values of x
  • Graphing a piece wise function given the rule
  • Writing the function rule for a given  graph of a piece wise function.
  • Graphing Absolute Value functions
  • Graphing step functions
Websites,Videos, and Documents
VIDEO 7
Goal 5


Graph a system of linear equations. 

Essential Questions

Assignments and Activities
Websites,Videos, and Documents
Goal 6


Solve a 3x3 system of equations to find an exact solution.

Essential Questions



Assignments and Activities
Websites,Videos, and Documents
Goal 7

Solve a system of linear equations using technology.


Essential Questions





Assignments and Activities
Websites,Videos, and Documents
Goal 8

Write and use a system of equations and/or inequalities to solve a real-world problem. 

Essential Questions





Assignments and Activities
Websites,Videos, and Documents