GRAPHING

DISTANCE VS TIME

PARTS OF A GRAPH  Axes – Usually x and y  Label – Subtitles on each axis  Scale – Units represented on each axis  Title – At the top of the graph to describe what the graph is representing  Origin – Starting x- and y-axis at 0

EXAMPLE:

PARTS OF A GRAPH  When creating graphs, we always want to put the independent variable along the x-axis, and the dependent variable along the y-axis  To do this, we need to determine which variable depends on the other one, and which variable will happen no matter what

DISTANCE VS TIME GRAPH  In this case, time is our independent variable. Our distance depends on how much time has passed  Units of time are always independent because time continues no matter what  This means our x-axis will always be TIME and our y axis will always be DISTANCE

EXAMPLE: My Trip to School

QUESTIONS TO CONSIDER  What does it look like if you are standing still for a period of time?  What does it look like if you are walking to a run or running to a walk?  What does it look like if you are walking at a constant speed?

COMPLETE:  Journey to the Bus Stop

JOURNEY TO THE BUS STOP

SPEED  We can calculate speed by finding out how far we can travel in a given amount of time  If I am travelling 60km/hour, this means that if I drive for 1 hour (time), I will travel 60 km (distance).  My speed is 60km/hour

SPEED  When looking at distance-time graphs, how can we tell if the speed is changing?  The SLOPE! The steeper the slope, the faster the speed. You are going a longer distance in a shorter amount of time

SPEED  Calculating speed during a certain period of time.  How fast was John going after 6 seconds?  speed = distance/time

YOUR TURN