AP Precalculus - Trig Art Project

PrePre-Cal Cal Calculu culu culuss Trig Ar Artt Pr Proje oje oject ct Per Period iodic ic Ar Artt iod GO GOAL: AL: Design a work of art using only the sine and co cosine sine fun functio ctio ctions ns. Yo Your ur de design sign m must ust includ include: e:      BOTH sine and cosine functions. Six graphs on the same set of coordinate axes. Five functions must include a phase shift, OR a change in period, OR a change in amplitude. The sixth function must contain a combination of two of the three. If you want to include a reflection or vertical shift that is okay, but that is just more than the assigned above instructions (not extra credit). You still need to follow the directions!! Par Partt 1 – The Gra Graph ph phss (ON G GRAP RAP RAPH HP PAP AP APER) ER) The graphs should include:     Graphs (PLOT POINTS) done BY H HAN AN AND D; all 6 on the same piece of paper Label both axes with the proper units; use RA RADIAN DIAN measures for the x-axis (in terms of π) Choose a scale that utilizes as much of the graph paper as possible. At least 1 period of the graph must be shown!! Par Partt 2 – The Eq Equat uat uations ions On the back of this paper:   Based on period, amplitude, and phase shift of each wave, list the equations you used in making your design Correctly fill in the information on period, amplitude, and phase shift. Remember, vertical shift and reflection is extra, and not required, unless you want it.  Par Partt 3 – The Ar Artt The piece of art should be your creative genius, only these guidelines are required:     Tra Transfe nsfe nsferr your design to an 8½ x 11 piece of paper by tracing it from the graph paper. Do n not ot trace the x- and y-a y-axes xes xes. The tracing needs to be accurate. Transfer enough of each graph to make it completely clear that the curve on your paper came from a sine/cosine function (don’t trace so little of the curve that it looks like a straight line or merely a parabola, or a circle… we need WAVES) COL COLOR OR your design, MOU MOUNT NT this design on colored paper, TIT TITLE LE your work, SIG SIGN N your work on the front. Effort, neatness, and creativity are included. Part 2 – The Equations Equation 1: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ Equation 2: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ Equation 3: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ Equation 4: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ Equation 5: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ Equation 6: f(x) = ________________________ Period: _________ Phase Shift: _________ Amplitude: _______ PERIOIDIC ART RUBRIC Please read the directions handout for more guidance with the rubric. PART 1 – The Graphs Criteria Points plotted by hand neatly & a color-coded key is provided to label each graph Correctly labeled axes (x and y) with the proper units (radians for x-axis: in terms of π) All six graphs on the same set of coordinate axes All six equations graphed correctly TOTAL PART 2 – The Equation Criteria Both sine and cosine functions are included a. 5 of the 6 graphs include at least one of the following: a phase shift, a change in period, or a change in amplitude b. At least 1 of the graphs include: a combination of two of the three listed above Correctly filled in information on period, amplitude, and phase shift TOTAL PART 3 – The Art Criteria Graphs traced correctly onto paper. Enough of the graph is transferred to make it completely clear that the curve came from a sine/cosine function Design was colored in Design was traced on 8.5 by 11” white paper and then mounted on colored paper Design was titled and signed on the front Effort, neatness, and creativity TOTAL Final Score: ____________ 60 Pts. Possible Pts. Earned 3 5 2 10 20 Pts. Possible Pts. Earned 4 8 8 20 Pts. Possible 3 4 3 3 2 5 20 Pts. Earned