Graphing Skills Practice Topic: Date: Essential Question:

Graphing Skills Practice Topic: Graphing Skills Date: 2/5/15 Essential Question:

Graphing Skills Practice Topic: Graphing Skills Date: 2/5/15 Essential Question: What features do a clear graph have and how do I create one?

Features of a good graph Title (explains what is graphed)

Features of a good graph Title (explains what is graphed) Labeled axes

Features of a good graph Title (explains what is graphed) Labeled axes Scales (numbers on the axes)

Features of a good graph Title (explains what is graphed) Labeled axes Scales (numbers on the axes) Plotted data points

Features of a good graph Title (explains what is graphed) Labeled axes Scales (numbers on the axes) Plotted data points Line or curve of best fit

Features of a good graph Title (explains what is graphed) Labeled axes Scales (numbers on the axes) Plotted data points Line or curve of best fit Slope (if needed)

Title Graph title should be: dependent variable vs. independent variable

Title Graph title should be: dependent variable vs. independent variable or labeled as specified in graph: “graph 1” “graph 2” when called for

Labeled axes

Labeled axes Draw axes with a straight line. (use a ruler)

Labeled axes Draw axes with a straight line. (use a ruler) This Not This

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in Time

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in Time (seconds)

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in Position (meters) Time (seconds)

Labeled axes Draw axes with a straight line. (use a ruler) Label axes with variable plotted AND the units it is measured in Position (meters) Time (seconds)

Scale Number every line

Scale Number every line Use the whole graph when possible

Scale Number every line Use the whole graph when possible Skip by same number for each line

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 0.5 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 0.5 1 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 0.5 1 1.5 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 0.5 1 1.5 2 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 0.5 1 1.5 2 2.5 Time (seconds)

Scale Example: Will we make it to 12 seconds? Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) Will we make it to 12 seconds? 0.5 1 1.5 2 2.5 Time (seconds)

Scale Example: No Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) No 0.5 1 1.5 2 2.5 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 10 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 10 11 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 10 11 12 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 10 11 12 13 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Scale Example: Vertical Scale? Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) Vertical Scale? 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Scale Example: Number every line Use the whole graph when possible Skip by same number for each line Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Data Draw each data point as a small dot

Data Draw each data point as a small dot Circle every data point

Data Draw each data point as a small dot Circle every data point (so it won’t get lost on a line of best fit)

Data Draw each data point as a small dot Circle every data point (so it won’t get lost on a line of best fit)

Data Draw each data point as a small dot Circle every data point (so it won’t get lost on a line of best fit)

Line of Best Fit

Line of Best Fit Line must be straight

Line of Best Fit Line must be straight Not This:

Line of Best Fit Line must be straight (so use a ruler) This:

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots”

Line of Best Fit No Line must be straight (so use a ruler) Do not “connect the dots” No

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point Neglects two points

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point Neglected

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point Neglected

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point

Line of Best Fit Line must be straight (so use a ruler) Do not “connect the dots” You will not get every point Line of best fit fits most points very well

Slope Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Slope Slope = Rise Run Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Slope = Rise Run Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Slope = Rise Run Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7 6 5 4 3 2 1.5 m 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7.0 m 7 6 5 4 3 2 1.5 m 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise P o s i t n (m) 7.0 m 7 6 5 5.5 m 4 3 2 1.5 m 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise = 5.5 m Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Rise = 5.5 m P o s i t n (m) 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 3 s P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 3 s 14 s P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 3 s 14 s P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = ? Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 3 s 14 s 11 seconds P o s i t n (m) 7 6 5 4 Run = ? 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Run = 11 s Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 4 Run = 11 s 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Rise = 5.5 m Run = 11 s Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 P o s i t n (m) 7 6 5 Rise = 5.5 m 4 Run = 11 s 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Slope = Rise Run Rise = 5.5 m Run = 11 s Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run P o s i t n (m) 7 6 5 Rise = 5.5 m 4 Run = 11 s 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Slope = = Rise 5.5 m Run 11 s Rise = 5.5 m Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run 11 s P o s i t n (m) 7 6 5 Rise = 5.5 m 4 Run = 11 s 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Flip to Sample Graph Slope = = = 0.5 m/s Rise 5.5 m Run 11 s Position (m) Time (s) 1 2.1 2 4.3 3 5.8 4 9.0 5 11.1 6 12.0 Run 11 s P o s i t n (m) 7 6 5 Rise = 5.5 m 4 Run = 11 s 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Time (seconds)

Try the second set of data Finish the last graph on your own