Comparing using formula with using RISE/RUN By Mrs. Math Slope Foldable Comparing using formula with using RISE/RUN By Mrs. Math x1 y1 x2 y2 (3, -2) (-3, -5) y2 – y1 6 x2 – x1 3 + -5 – - 2 - 3 = -3 – 3 -6 +Rise 3 1 1 2 = Slope = 6 2 Run
Materials needed (per student) Construction paper or cardstock Ruler Scissors 2 or 3 markers glue (optional) 2 printed graphs (optional)
Fold inward to the center
Draw 2 lines FOLD FOLD
Cut to fold Cut to fold
Glue Graphs on the Inside
Positive Negative Undefined Zero FRONT SIDE Positive Negative Slope Slope FOLD FOLD (3, -2) (-3, -5) (-3, 5) (-2, 1) Undefined Zero Slope Slope (-4, -3) (-4, 0) (0, 1) (5, 1)
Positive Slope x1 y1 x2 y2 (3, -2) (-3, -5) y2 – y1 x2 – x1 6 -5 – - 2 TOP LEFT x1 y1 x2 y2 (3, -2) (-3, -5) y2 – y1 x2 – x1 6 + -5 – - 2 -3 3 = -3 – 3 -6 1 + Rise 3 1 Slope = = 2 Run 6 2
x1 y1 x2 y2 (-4, -3) (-4, 0) y2 – y1 x2 – x1 3 – - 3 3 = -4 – - 4 + – - 3 3 = + -4 – - 4 + Rise 3 Slope = undefined = undefined Run BOTTOM LEFT Undefined Slope
Negative Slope x1 y1 x2 y2 -4 (-3, 5) (-2, 1) y2 – y1 1 x2 – x1 1 – 5 TOP RIGHT Negative Slope x1 y1 x2 y2 -4 (-3, 5) (-2, 1) y2 – y1 1 x2 – x1 1 – 5 -4 = + -2 – - 3 1 – Fall -4 -4 Slope = -4 = Run 1
x1 y1 x2 y2 (0, 1) (5, 1) y2 – y1 5 x2 – x1 1 – 1 = 5 – 5 + Rise (0, 1) (5, 1) y2 – y1 5 x2 – x1 1 – 1 = 5 – 5 + Rise Slope = = Run 5 Zero Slope BOTTOM RIGHT
NAME PERIOD SUBJECT DATE BACK SIDE NAME PERIOD SUBJECT DATE FOLD FOLD
x1 y1 x2 y2 x1 y1 x2 y2 (3, -2) (-3, -5) (-3, 5) (-2, 1) -4 y2 – y1 (-3, 5) (-2, 1) -4 y2 – y1 y2 – y1 6 1 x2 – x1 x2 – x1 3 + -5 – - 2 - 3 1 – 5 -4 = = + -3 – 3 -6 -2 – - 3 1 +Rise 3 1 –Fall -4 1 = = -4 Slope = 6 2 1 Run Run Slope = -4 2 x1 y1 x2 y2 x1 y1 x2 y2 (-4, -3) (-4, 0) (0, 1) ( 5, 1) 5 y2 – y1 y2 – y1 x2 – x1 x2 – x1 3 + 1 – 1 – - 3 3 = = + 5 – 5 -4 – - 4 +Rise 3 +Rise = und = 0 Slope = und 5 Run Run Slope = 0
Print the following page as a SLIDE to get graphs for the students to glue in their foldables. If you don’t have glue you can have students draw a simple graph in their foldables. y x
Some useful tips about Foldables Once the foldable is done you must have the students USE it on a follow-up activity such as a short quiz, BINGO game, or set of guided practice problems or the students will NEVER use it. For grading purposes have students paper punch foldables to keep in their binder, put in their portfolio, or to hand in for a note-check. When making foldables it’s best to hand students just 2 or 3 different colored markers to make color changes to emphasize words or concepts but not so many that they get distracted. Always have at least one or two foldables cut out and ready for students who make mistakes. If a student is absent the day of the foldable then just print out the relevant Powerpoint slide for them to include in their notebook. (SLIDE 13)