Optic Art Project for Algebra Part I. Psychedelic Checkerboard Op Art 1. On plain 8 ½ by 11 paper, Draw “wavy” vertical lines across the paper 2. 3. 4. 5. (15-20). Careful not to draw them too bumpy or too close…simple is better. Think gentle flowing waves. (Fat worms not skinny hair) Off-center, somewhere on the white paper, draw a small circle (size of a quarter). Continue drawing concentric circles to the edges of the paper (10-15). Now that the grid has be created, using a pencil lightly mark in every other space. This is how to plan the coloring before the crayon, marker, or colored pencil touches the paper. (Pencil does erase, marker, etc. does not) Start on the edge of the paper opposite from the circle and begin to mark your spaces to be colored. Go slow and take your time. Carefully start in one corner and begin to color in only the marked spaces with a single color. After all spaces are colored in a checkerboard design with one color and the white of the paper, students may color in all the leftover white spaces with the complement of their first color choice. 6. Outline in black sharpie. 7. Other options of checkerboard designs could be wavy lines and a vanishing point, or circles and a vanishing point. Part II. Concentric Circles 1. Find the center of the page and put the pointed end of the compass there. 2. Draw the largest circle the paper will allow with the compass. 3. Draw 8-10 circles inside the big circle. 4. Create distortions by drawing at least three circles close together. Have at least three distortions in the picture. 5. Use the protractor to mark off every 5º. Mark all the way around the circle by turning the protractor upside down. 6. Draw lines using pencil and ruler from the center through the mark and out to the last circle. 7. Color in the blocks created in checker board fashion. Use black sharpie and white together and then choose two contrasting colors. 8. Coloring down in columns is easier than coloring around in the circles. (Ex. Column 1: Black, white, black white, etc. Column 2: Purple, yellow, purple, yellow, etc. Column 3: White, black, white, black, etc. Column 4: Yellow, purple, yellow, purple, etc.) Part III. 3-D Globes 1. Create a background using 2 of the following: wavy lines, concentric circles, or converging lines so there is a checkerboard effect. 2. After a background is done it must be "x"ed out using small light pencil "x"s in a checkerboard pattern. The “x-ed” sections will be black. 3. Draw 5 – 7 circles randomly on the background. Vary the size of the circles and the distance between circles. 4. Erase the lines that show through the circles. 5. Mark the center of the circles. Follow the next steps for all of the circles. a. Use a ruler and draw a diameter through the center of the circle. b. Use a protractor to make tick marks that measure 90º from the diameter on both sides. c. Use a ruler to line up the marks and draw another diameter in the circle that is perpendicular to the 1st diameter. You now have a perfectly quartered circle. d. Make a little tick mark in the middle of the upper half section of the vertical line that splits the globe. This is just a reference point. Then, make another tick mark slightly above that middle mark. The exact spot will vary and produce slightly different looking globes. e. Take the point of the compass and stick it into the point where the center vertical line meets the bottom edge of the circle. With the compass point in place, spread the compass so that the lead touches the upper tick mark from the last step. This compass spread must not be changed for the rest of the steps. f. Now using the above compass measure, and keeping the point of the compass on the bottom point, swing the compass and make a line from one side of the globe to the other. This begins the 3d illusion of the globe. g. Go to the remaining 3 points around the circles perimeter and using the same compass spread as in step f, draw 3 more arcs to complete the 3d sphere. h. Once all of the globes are complete, go through and put an “x” in every other section like you have done before. 6. Start on the left and color all of the “x-ed” sections with the black sharpie marker. 7. Color the white background spaces all the same color. 8. Color the white spaces on the globes a different color than the background. Each globe should be a different color. Rubric Psychedelic Checkerboard Op Art 30 pts -Following Directions - Neatness Concentric Circles 30 pts -Following Directions -Neatness 3-D Globes -Following Directions -Neatness 40 pts
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