Students will be given integer and decimal coordinates that will reveal a picture when graphed. Students may also create their own images to challenge classmates. This lesson can be extended to polygon attributes for 5^th and 6^th grade, and transformations and proportional reasoning for 7^th and 8^th grades.

Materials:

• 8 ½" x 11" sheets of grid paper in 1", ¼", 1 cm, or ½ cm size.
• Mystery Pictures Activity Sheets
• ruler
• colored pencils (optional)

Directions:

Graph the given points and connect the points by following the arrows. Each row of coordinates begins a new line of the drawing. You should connect the points as they go and not graph all coordinates first.

Activities:

Flying High

Number the graph with steps of 1.

(8,5) → (0,1)

(0,0) → (2,2)

(1,0) → (2,2)

(3,7) → (5,6) → (4,5) → (5,4) → (5,3) → (4,2) → (3,3) → (2,3) → (2,4) → (1,4) → (3,5) → (4,6) → (3,7)

(5,4) → (6,4)

Lighting the Night

Number the graph with steps of 1.

(4,7) → (4,8)

(6,7) → (6,8)

(2,4) → (3,4) → (4,5) → (3,5) → (2,4)

(6,4) → (7,4) → (8,5) → (7,5) → (6,4)

(4,3) → (5,4) → (6,3) → (4,3)

(3,7) → (7,7) → (9,5) → (9,2) → (7,0) → (3,0) → (1,2) → (1,5) → (3,7)

(3,2) → (4,1) → (5,2) → (6,1) → (7,2)

Furry Friend

Number the graph with steps of 1.

(3,4) → (4,4) → (5,3) → (4,3) → (3,4)

(6,3) → (7,4) → (8,4) → (7,3) → (6,3)

(2,7) → (4,5) → (7,5) → (9,7) → (9,2) → (7,0) → (4,0) → (2,2) → (2,7)

(5,3) → (6,3) → (5.5,2) → (5,3) → (5.5,2) → (5.5,1)

(4,2) → (5,1) → (6,1) → (7,2)

Boo!

Number the graph with steps of 0.5.

(3.5, 5.5) → (4, 5) → (3.5, 4.5) → (3, 5) → (3.5, 5.5)

(5, 5.5) → (5.5, 5) → (5, 4.5) → (4.5, 5) → (5, 5.5)

(4, 4) → (4.5, 4) → (4.5, 3.5) → (4, 3.5) → (4, 4)

(6, 3.5) → (6.5, 3.5) → (7.5, 5) → (7.5, 4.5) → (6.5, 3) → (6, 3)

(2.5, 3.5) → (2, 3.5) → (1, 5) → (1, 4.5) → (2, 3) → (2.5, 3)

(2.5, 5.5) → (2.5, 2) → (1.5, 0.5) → (2.5, 1) → (3, 0.5) → (4, 1) → (4.5, 0.5) → (5.5, 1) → (6, 2) → (6, 5.5) → (5, 6.5) → (3.5, 6.5) → (2.5,5.5)

All Together (by Erin)

Number the graph with steps of 1. Use 1 inch grid paper

(4, 7) → (5, 7) → (7, 5) → (7, 1) → (2, 1) → (4, 3) → (2, 5) → (4, 7)

(2, 5) → (2, 1)

(5, 3) → (4, 3)

(5, 3) → (7, 5)

(5, 3) → (7, 1)

(3, 4) → (6, 4)

Two Cats (by Maia)

Number the graph with steps of .1 from 0 to 2.

(.6, 1.6) → (.6, 1.2) → (.7, 1.1) → (.9, 1.1) → (1, 1.2) → (1, 1.6) → (.9, 1.6) → (.9, 1.5) → (.7, 1.5) → (.7, 1.6) → (.6, 1.6)

(.7, 1.1) → (.5, .9) → (.5, .6) → (.2, .6) → (.1, .7) → (.1, .8) → (.2, .9) → (.4, .9) → (.4, 1) → (.1, 1) → (0, .9) → (0, .6) → (.1, .5) → (1, .5) → (1.1, .6) → (1.1, .9) → (.9, 1.1)

(1.4, 1.9) → (1.5, 1.8) → (1.7, 1.8) → (1.8, 1.9) → (1.9, 1.8) → (1.9, 1.5) → (1.8, 1.4) → (1.4, 1.4) → (1.3, 1.5) → (1.3, 1.8) → (1.4, 1.9)

(1.4, 1.4) → (1.2, 1.2) → (1.2, .6) → (1.3, .5) → (.7, .5) → (.6, .4) → (.6, .1) → (.7, 0) → (1.1, 0) → (1.1, .1) → (.8, .1) → (.7, .2) → (.7, .3) → (.8, .4) → (1.8, .4) → (2, .6) → (2, 1.2) → (1.8, 1.4)

Computer (by Maia)

Number the graph with steps of 1 from -10 to 10.

(-3, -2) → (4, -2) → (4, 2) → (-3, 2) → (-3, -2)

(-4, -3) → (5, -3) → (5, 3) → (-4, 3) → (-4, -3) → (-5, -2) → (-5, 4) → (4, 4) → (5, 3)

(-1, -3) → (-1, -4) → (-3, -6) → (3, -6) → (1, -4) → (1, -3)

(-2, -3) → (-2, -4) → (-3, -5) → (-3, -6)

(2, -5) → (3, -5) → (4, -4) → (5, -4) → (7, -6) → (8, -7) → (8, -8) → (7, -9) → (6, -8) → (6, -7) → (7, -6)

(6, -7) → (8, -7)

(7, -7) → (7, -9)

Autumn Night

Number the graph with steps of .05.

(.8, 1.15) → (.7, 1.1) → (.7, 1.05) → (.8, 1) → (.75, 1.05) → (.75, 1.1) → (.8, 1.15)

(.4, .05) → (.45, .1) → (.45, .95) → (.5, 1) → (.5, .15) → (.55, .05)

(.45, .35) → (.25, .45) → (.15, .6)

(.25, .45) → (.15, .45)

(.35, .4) → (.25, .7)

(.3, .55) → (.35, .65)

(.5, .4) → (.7, .45) → (.9, .35)

(.8, .4) → (.9, .45)

(.7, .45) → (.8, .55) → (1, .45)

(.9, .5) → (.95, .55)

(.8, .55) → (.95, .65)

(.5, .65) → (.6, .75) → (.85, .75)

(.7, .75) → (.85, .65)

(.75, .75) → (.8, .85)

(.6, .75) → (.65, .8)

(.45, .75) → (.35, .85) → (.25, .9)

(.4, .8) → (.3, .75)

(.35, .85) → (.35, .95)

This work placed into the public domain by the Riverbend Community Math Center.