Graphs 3/12/2016 1 Today I want you to help me make a graph. I want to make a graph that shows the change in temperature throughout the day yesterday. What kind of graphs could we make to show this? 3/12/2016 2 Bar Graph vs Line Graph 3/12/2016 What is the difference between a bar graph and a line graph? 3 Line Graph A line graph is a graph used to show change over time!! What can time be measured in??? Seconds - Minutes - Hours – Days Weeks - Months – Years - Decades Centuries - etc. 3/12/2016 4 When to use a line graph? Would we use a line graph in the following situations: •To show how many people like pizza in this class? NO •To show how much it rained each month this year? YES- because months and years deal with time. •To show how many people live in East Meadow? NO 3/12/2016 5 Birthdays? Would we use a line graph to show when our birthdays are? 3/12/2016 Our birthday does deal with time doesn’t it? (months/years) But, our birthday is constant, meaning it never changes. A line graph shows change in time, so we would not use it for this type of graph. 6 How do we make a line graph? Y X 3/12/2016 A line graph ALWAYS has a title! A line graph has two different axis’s An axis is either the horizontal line (called x) or the vertical line (called y) that form the base lines of a graph. 7 YOU TELL ME…. What color is the y-axis? Y X What color is the x-axis? 3/12/2016 8 X-axis and Y-axis When you are making a line graph, the x-axis is always horizontal, and the yaxis is always vertical. The x and y-axis usually starts with zero on a line graph It is important to make sure that the intervals on our y-axis are always equal. What do I mean by this? 3/12/2016 9 Intervals 3/12/2016 When we are setting up a line graph, we need to decide what intervals we want to use. If we are graphing the temperature for a year, do we want to put 365 days on the graph, and 100 different temperatures? When we see a horizontal flat line, that means that there was no change during a specific time period. 10 Plotting a Line graph When we are plotting a line graph, it is important to read what information is on each axis. There must be a label on each axis that describes the information. Much like a bar graph, we look at the x-axis first in order to plot our points. 3/12/2016 Time in minutes 11 Is this an acceptable graph? Car Trip Time 3/12/2016 12 What information do you need to interpret a graph? Tripat does not •The graph we just Car looked have any numbers on the x-axis or the yaxis. •Can we still draw conclusions and answer questions about that graph? •How many times did the driver stop Time driving during the trip? 3/12/2016 13 Practice With Graphs •Please study the graphs that you have and answer the questions. •Then we will discuss the your answers. 3/12/2016 14 Money spent this week Amoutn of $ $25.00 $20.00 $15.00 $10.00 $5.00 $0.00 Mon. Tues. Wed. Thurs. Fri. Day 3/12/2016 15 Q&A Which About day howdid much thismoney personinspend total the did most thismoney? person spend How do onyou Monday know? and Thursday? How do you know? This person spent the most money on This person spent about $9.00 on Wednesday. I know this because the Monday and Thursday. I know this graph is the highest on Wednesday. because I looked at where the line was for Monday and Thursday and added the two amounts. 3/12/2016 16 Miles Traveled Miles traveled during the week 70 60 50 40 30 20 10 0 Mon. Tues. Wed. Thurs. Fri. Sat. Sun. Days 3/12/2016 17 Q&A How many days did this person travel less than 30 miles? 5 days Which day did the driver travel the least amount of miles? Sunday Why might someone want to keep track of their miles for the week? To figure out how much gas they need a week. 3/12/2016 18 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 Acres of corn (in millions) U.S. Corn in Acres 85 80 75 70 65 60 55 Years 3/12/2016 19 Q&A About how much corn did the U.S. have in 1991? About 77 million acres What does the y-axis represent in the graph? Acres of corn in millions. Can you think of another title for this graph? The rise and fall of corn in the U.S. 3/12/2016 20 Calories burned while running 240 220 200 Calories 180 160 140 120 100 80 60 40 20 270 240 210 180 150 120 90 60 30 0 Hours 3/12/2016 21 Make your own….. •Now that you have had time to interpret graphs, I would like you to make your own graphs. •Remember to read the information carefully and label everything! 3/12/2016 22 Amount of Rain From Yesterday's Storm Amount in Millileters 14 12 10 8 6 4 2 0 1PM 2PM 3PM 4PM 5PM 6PM 7PM Time in Hours 3/12/2016 23 Calories burned while running Calories 240 220 200 180 160 140 120 100 80 60 40 20 270 240 210 180 150 120 90 60 30 0 Hours 3/12/2016 24 Value of TY beanie baby "Slowpoke Sloth" 30 Value in Dollars 25 20 15 10 5 0 1996 1997 1998 1999 2000 2001 Year 3/12/2016 25 Do these have the same information on them? Test grades Source 100 50 0 1 2 3 4 5 6 Week Source Test grades 90 85 80 75 70 1 3/12/2016 2 3 4 Week 5 6 26 Great Job! 3/12/2016 27