Calculator ArtAssignment 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 DRAWNtechnical 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)

1square root function 1 step function 1intersection 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. <see example>

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 ifneeded.

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)(x>-1) .

Hints for Winplot:

*You can download it for free at:

*You can watch some tutorial videos at: 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
(4 pts) / Domain/Range
(1 pt) / S. Form
(4 pts) / Name: / ______
3 Diagonal Lines / Work for 2 coordinates (5pts)
2 Abs. Values / XXXXX / Creativity (4 pts)
1 Horiz. Line
1 Vert. Line / Difficulty (5 pts)
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