Name:__________________________________________________ Date:_____________ Period:_____________ UNIT 3: GRAPHING STUDY GUIDE What you will need to know: RESOURCES: Why we use graphs Difference between X and Y Axes o Which one the dependent variable is plotted on o Which one the independent variable is plotted on o Which axis time is always plotted on Parts of a Bar Graph What bar graphs are used for Parts of a Line Graph What line graphs are used for How to make a data table from raw data How to find patterns in data by looking at a line graph What circle graphs are used for CLASS NOTES WORKSHEETS TEXTBOOK What you will need: 1. Calculator 2. An index card that you create. It can only have: a. The formulas for determining the width of bars and spaces on a bar graph. b. The formulas for determining proportions of “pie slices” in a circle graph. 3. Ruler (supplied for you) 4. Protractor (supplied for you) Review Questions 1. What are three reasons to use graphs? (from class notes) To visually communicate information. They are useful for displaying numerical information. Graphs make it easier to detect patterns in data. 2. Write which type of graph is best for the type of data described below. (circle, bar, or line?) Proportion of parts to a whole circle Temperature change over time line Comparing categories that do not change continuously bar Comparing average quiz grades for class periods bar Population change over time line Mass of a specific material when volume changes line (cause and effect) Name:__________________________________________________ Date:_____________ Period:_____________ 3. Examine the data tables. Write what type of graph would be best for displaying the information. Population of each species of mammal on an island Wolves Bats Rabbits Deer Sheep Raccoon 14 54 32 27 16 23 Black Bear 6 Cattle Squirrel 35 41 A bar graph should be used because it compares information across categories. Population of Wild Alaskan Salmon over Time Year 1950 1960 1970 1980 1990 2000 2010 Salmon Population (millions) 537 482 436 380 398 425 461 What type of graph should be used? A bar graph should be used because the data shows how separate categories continuously change over time. Energy Source Usage by Type in India (2009) Energy Source Percent of Total Usage Coal 42% Combustible Renewable Waste 24% Oil Natural Gas Other 24% 7% 3% What type of graph should be used? _____________________ A circle graph should be used because it shows proportions of a whole Name:__________________________________________________ Date:_____________ Period:_____________ 4. Match each data table with the correct graph. Write the missing information on the graph. (Title, axis labels, or key) U.S. Energy Consumption by Type (2010) Energy Source Percent Petroleum (Oil) 37% Natural Gas 25% Coal 21% Nuclear 9% Renewable Energy 8% Temperature of Water Over time Time (minutes) 0 2 4 6 8 10 12 14 16 18 20 Temperature (°C) 98 94 90 87 83 79 76 71 68 65 63 Favorite Pittsburgh Sports Team 8th Graders 7th Graders Penguins 37 31 Pirates 21 29 Steelers 23 17 Riverhounds 7 5 Pitt 11 24 Other 4 3 Temperature of Water over Time Favorite Pittsburgh Sports Team 40 35 100 Number of Votes Temperature (degrees C) 120 80 60 40 20 30 Key: Dark: 8th Gradeers Light: 7th Graders 25 20 15 10 5 0 0 2 4 6 8 10 12 14 16 18 20 0 Time (Minutes) U.S. Energy Consumption By Type Petroleum Natural Gas 8% 9% 37% Coal 21% Nuclear 25% Renewable Name:__________________________________________________ Date:_____________ Period:_____________ 5. The graphs below show temperature over time. Match the graph with the pattern below. Graph A Graph B Graph C Temperature is constant in Graph A Temperature is increasing with time in Graph C Temperature is decreasing with time in Graph B 6. Johnny did the 24 Hour No Technology Challenge on Columbus Day. He went kayaking with his family in Northwest PA and observed what was happening in nature. He recorded information in a notebook and then later organized it into three data tables. DIRECTIONS: Use the data tables to create one circle graph, bar graph, and one line graph on a separate piece of paper. Then, write three facts based on the information from each graph under the graphs. Circle Graph Type of Animal Ducks Deer Blue Heron Turtles Number that were Seen 15 2 5 8 Line Graph Depth Across a Stream Distance from Shore Water Depth (meters) (meters) 1 0.55 2 0.75 3 0.95 4 1.15 5 1.35 6 1.35 7 1.30 8 1.20 9 0.85 10 0.60 BAR GRAPH Cell Phone Users Walkers Users 21 Joggers 11 Bikers 2 Boaters 3 Sports Players 2 Name:__________________________________________________ Date:_____________ Period:_____________ Water Depth Across a Stream “Water depth across a stream” Graph Facts: (these vary) 1.6 Water Depth (meters) 1.4 1. The depth was lowest on the edges of the stream 2. The water depth changed more gradually from 0-4 m, than from 8-10 m. 3. The water was deepest in the middle of the stream. 4. The steepest gradient was from 8-9 m. 5. The deepest part of the stream was 1.35 m. 6. The stream was 10 m across. 1.2 1 0.8 0.6 0.4 0.2 0 1 2 3 4 5 6 7 8 9 10 DIstance from Shore (meters) Cell Phone Users Spotted Cell Phone Users vs Non-Users at a Park 24 25 Number of People Number of Users 20 16 12 8 20 15 10 5 4 0 0 Walkers Joggers Bikers Boaters Sports Players Cell Phone Users Graph (there are two graphs to match the two study guides) Note: to make a double bar graph, the width of each bar that is measured out is divided into two. Facts: (these vary) 1. There were more walkers using their cell phones than others. 2. There were 11 Joggers seen using their cell phones. 3. Very few sports players and bikers were seen using their cell phones. 4. The percent of users vs. non-users was greatest with sports players. 5. Walkers were the only group that had more users than non-users. Users Non-Users Name:__________________________________________________ Date:_____________ Period:_____________ Animals that Johnny Saw Ducks Deer Blue Heron Turtles 27% 50% 17% 6% “Animals Seen” graph Note: (% = part / whole) (degrees = percent in decimal form x 360) Facts: (these vary) 1. Johnny saw more ducks than any other animal. 2. Johnny saw four types of animals 3. 27% of animals he saw were turtles. 4. 17% were Blue Heron. 5. 6% were Deer. 6. Johnny saw more animals that live in near (heron) water than land animals (deer).