Calculator Art Project for Honors Algebra II



Calculator Art Assignment for Honors Algebra II

In this assignment, connect art with Algebra by graphing using equations of functions/relations. Draw a picture that uses different types of equations. The theme of the art work is “Inside a Building” and it cannot be abstract. It needs the following items:

1) Technical Page (20 pts)

With the assistance of your calculator and/or Winplot (a free program for graphing on the computer), create a NEATLY DRAWN technical page on a numbered coordinate plane consisting of various functions/relations with at least the following:

3 diagonal lines, 2 absolute values, 1 horizontal line, *1 vertical line,

*1 horizontal parábola 1 vertical parábola *1 circle 1 inverse (1/x or 1/x2)

1 square root function 1 step function 1 intersection shading (A(x)< 5x & B(x)>|x +2|).

1 shifting graph in which you give the graph of f(x) as it goes through the origin and then ask for a shift similar to f(x +3) – 2.

Label each function as A(x), B(x), and each non-function (* from list above) as #1, #2 etc.

Be sure to also label the coordinate plane.

2) Equation Page (45 pts)

Type (using Microsoft Editor) the following in a neat and organized manner on a separate sheet of paper:

*Give the equations accurately using Microsoft Equation Editor (35 pts).

*Give the domain and range of each function/relation next to the equation (10 pts).

3) Work Page (25 pts)

*Write the equation of all linear functions in standard form with work shown (10 pts).

*Choose two points on one of the diagonal lines. Show all work on how to find the equation of the line. (5 pts)

* Write the equation of the parabolas in standard form and vertex form with work shown (10 pts)

(Show the work on how to go from Ax2 + Bx + C to vertex form)

If your parabolas are on an axis then you must show work on how to move a parabola not on an axis

3) Artistic Page (10 pts)

Display the picture (without gridlines) on a paper larger than 8 ½ X 11 (or larger) in color. You may add more details if needed.

The remaining 20 points will be determined by the difficulty, creativity and neatness of all four pages.

It’s due on March 19th/20th, 2012. A 10 point deduction will be taken for every day that it is turned in late. It will count as a test grade.

*You may work with a partner but you must do twice the minimum amount (e.g. 6 diagonal lines etc.)

*You are not required to give the domain/range/standard form of graphs that are more than the minimum requirements. (e.g. You only have to give the domain/range of two absolute value graphs if by yourself.) However, every equation must be written on the equation page.

Hints for Graphing with TI-83:

*Choose ‘simul’ mode.

* Select the …(dotted line) to the left of y= instead of ___.

*Restrict the domains of your graph in a similar manner: y=(abs (x + 2))(x-1) .

Hints for Winplot:

*You can download it for free at:

*You can watch some tutorial videos at: (Tutorial 6 is very useful for restricting the domain)

*You may print your technical page and/or your artistic page from Winplot.

Example of an Equation page, Technical page, and Rubric

|Equation |Domain |Range |Standard Form |

|A(x) = -2x + 4 |0 < x < 1 |2 < y < 4 |2x + y = 4 |

|B(x) = 2x |1 < x < 2 |2 < y < 4 |2x – y = 0 |

|C(x) = 2 |-2 < x < 5 |{2} |y = 2 |

|D(x) = -3 |-2 < x < 5 |{-3} |y = -3 |

|E(x) = | | | |

| | | | |

|E(x – 5) – 2 |5 < x < 7 |-1 < y < -2 | |

|F(x) = ½ (x – 2)2 - 2 |0 < x < 4 |-2 < y < 0 |y = ½ x2 – 2x |

|#1: x = -2 |{-2} |-3 < y < 2 |x = -2 |

|#2: x = 5 |{5} |-3 < y < 2 |x = 5 |

|#3: (x – ½)2 + (y – ½)2 = 1/4 |0 < x < 1 |0 < y < 1 | |

|#4: (x – 5/2)2 + (y – 5/2)2 = 1/4 |2 < x < 3 |0 < y < 1 | |

| |Correct |Domain/Range |S. Form |Name: |____________ |

| |(4 pts) |(1 pt) |(4 pts) | | |

|3 Diagonal Lines | | | |Work for 2 coordinates (5pts) | |

|2 Abs. Values | | |XXXXX |Creativity (4 pts) | |

|1 Horiz. Line | | | |Difficulty (5 pts) | |

|1 Vert. Line | | | | | |

|1 Hor. Parabola | | | |Neatness (4 pts) | |

|1 Vert. Parabola | | | |Coordinates Numbered (2 pts) | |

|1 Circle | | |XXXXX |Other directions followed(5 | |

| | | | |pts) | |

|1 step function | | |XXXXX |Artistic Page | |

| | | | |(10 pts) | |

|1 square root | | |Xxxxxxxx | | |

|1 inverse function | | |Xxxxxxxxx | | |

|1 Shifting | | |XXXXX | | |

|1 Shading | | |XXXXX |Overall | |

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