1. Copyright © Ed2Net Learning, Inc.1 Drawings, Tables, and Graphs Grade 6 Unit 1 : Lesson #7

2. Copyright © Ed2Net Learning, Inc.2 What you’ll learn  Vocabulary:  Table  Graph  Line graph  Bar graph  Circle graph  Understand how to use pictures and tables to give information.  Identify the three types of graphs and their usage.  Distinguish between the correct usage of each type of graph.  Why it is important?  Drawings, tables, and graphs help us illustrate and communicate data about the world around us in an organized and efficient way.

3. Copyright © Ed2Net Learning, Inc.3 Drawings 3  New information and ideas can be communicated and made more clear by illustrating them using photographs and drawings rather then written text.  Many a times, a drawing is the best choice to show details. It can emphasize things that are necessary to show.  For example: A drawing can exactly show the lines between the layers of a rock cut by a canyon.  A drawing can show things we cannot see.  For example: We cannot see the human heart, but drawings show us what it looks like. We can also make quick sketches to help model problems. We could draw the outline of the parts of the heart to show how they work together.

4. Copyright © Ed2Net Learning, Inc.4 Drawings 4  A drawing can show hidden things.  For example: Details of the water cycle which cannot be seen in a photograph can be shown in a drawing.  Architects use drawings to show how the inside of a building looks like.

5. Copyright © Ed2Net Learning, Inc.5 Photographs 5  A still photograph can show an object exactly as it is at a single moment of time. Interesting features such as how an object moves, or how it can be slowed down and sped up can be shown using movies.  For example: To prepare a report on ecology we could use the photographs of the different types of trees in our neighborhood.

6. Copyright © Ed2Net Learning, Inc.6 Tables and Graphs 6  A table is used to display information in rows and columns, so that it is easier to read and understand. It is an organized way to collect and display data for everyone dealing with numbers, and comparing measurements. Grade 6 students in a public school YearNumber of students in Grade 6 200030 200132 200229 200331 200435 200533 200632 200734 The data in the table can be presented in a paragraph, but it would be harder to pick out facts and make comparisons.

7. Copyright © Ed2Net Learning, Inc.7 Try this! 7  A ___________ organizes data in rows and columns. Answer: Table

8. Copyright © Ed2Net Learning, Inc.8 Line graph 8  A line graph can be used to show the relationship between two variables. A variable can be anything that can change or vary such as the temperature of a liquid or the number of people in a race. Both the variables in a line graph must be numbers. One variable should be shown on the horizontal axis, or the X- axis and the other variable should be shown along the vertical axis, or the Y-axis. A line on the graph shows the relationship between the two variables.

9. Copyright © Ed2Net Learning, Inc.9 Try this! 9  A line graph can show the relationship between how many variables? A. Two B. Three C. Any number of variables. D. None of the above. Answer: A

10. Copyright © Ed2Net Learning, Inc.10 Bar graph 10  A bar graph uses rectangular bars, or blocks of varying sizes to show the relationship among variables. One variable is divided into parts. It can be numbers, such as the time, or a category. The second variable must be a number. The bars show the size of the second variable. An example of bar graph is given below.

11. Copyright © Ed2Net Learning, Inc.11 Try this! 11  How does a bar graph show the relationship between two variables? Answer: A bar graph uses rectangular bars, or blocks of varying sizes to show the relationship among variables.

12. Copyright © Ed2Net Learning, Inc.12 Circle graph 12  A circle graph is used to show the parts of a whole. It is also known as a pie graph. Each piece of a pie visually represents a fraction of the total. By looking at the circle graph, we can quickly see which state had the highest number of students in Grade 6 by comparing the sizes of the pie.

13. Copyright © Ed2Net Learning, Inc.13 Circle graph 13  A circle has a total of 360 degrees. Before making a circle graph, we need to determine what fraction of 360, each part should be. Determine the total of the parts first. In the circle graph shown, the total number of students in Grade 6 is 80. One fraction of the total, Texas, is 30 of 80 students in Grade 6. To determine what fraction of 360 is this, set up a ratio and solve for x : 30/80 = x/360 x = 135 degrees  Texas will have an angle of 135 degrees in the graph. The other angles in the circle are determined in the same way.

14. Copyright © Ed2Net Learning, Inc.14 Try this! 14  To should 25 percent on a circle graph, a section must measure what angle? Answer: 90 degrees

15. Copyright © Ed2Net Learning, Inc.15 Reading graphs 15  While using or making graphs to display data we must be very careful about the scale of the graph as they can be misleading sometimes.  Until you see that the Y-axis does not start at zero, it appears that the number of students has changed in four years. This is called a broken scale and is used to highlight small but significant changes, just as an inset on a map draws attention to a small area of a larger map. Always analyze the measurements and graphs. If there is a surprising result, look closer at the scale.

16. Copyright © Ed2Net Learning, Inc.16 Try this! 16  Why must the graphs be read carefully? Answer: Graphs must be read carefully as measurements and data can appear to be changed due to broken scale.

17. Copyright © Ed2Net Learning, Inc.17 Summary 17  Many a times tables, photographs, drawings, and graphs can present data more clearly than explaining in words. These tools are used by scientists to collect, organize, summarize, and display data in a way that is easier to understand.  The three common types of graphs are: Line graph, Bar graph and Circle graph.  Line graph shows the relationship between two variables that are numbers on the x and y axis.

18. Copyright © Ed2Net Learning, Inc.18 Summary 18  Bar graphs divide a variable into parts to show a relationship.  Circle graphs show the parts of a whole like the pieces of a pie. They are also known as pie graphs.  We must always analyze the measurements and graphs. If there is a surprising result, look closer at the scale.

19. Copyright © Ed2Net Learning, Inc.19 Critical thinking activity 19  Describe an instance when you would use a line graph. Can a bar graph be used for the same purpose?

20. Copyright © Ed2Net Learning, Inc.20 Assessment 20  Explain the difference between tables and graphs. Answer: A table presents the data in rows and columns making it easier to read and interpret. A graph presents the data in a visual way.

21. Copyright © Ed2Net Learning, Inc.21 Assessment 21  Distinguish between Line graph, Bar graph and Circle graph. Line graphBar graphCircle graph A line graph shows the relationship between two numbers. A bar graph shows the relationship between a number and either another number or a category. A circle graph shows the relationship among the parts of a whole.

22. Copyright © Ed2Net Learning, Inc.22 Assessment 22  Which of the following is used to organize data? A. Table B. Precision C. Accuracy D. Rate Answer: A

23. Copyright © Ed2Net Learning, Inc.23 Assessment 23  To should 75 percent on a circle graph, a section must measure what angle? Answer: 270 degrees

24. Copyright © Ed2Net Learning, Inc.24 Assessment 24  Which graph shows parts of a whole? Answer: A circle graph shows the part of a whole.

25. Copyright © Ed2Net Learning, Inc.25 Assessment 25  A _________ can show hidden things. A. Graph B. Drawing C. Photograph D. None of the above Answer: B

26. Copyright © Ed2Net Learning, Inc.26 Assessment 26  True or False: Both the variables in a line graph must be numbers. Answer: True

27. Copyright © Ed2Net Learning, Inc.27 Assessment 27  Match the following with the way they show the data. TableShows the relationship between a number and either another number or a category. Circle graphShows the relationship between two numbers. Line graphShows the relationship among the parts of a whole. Bar graphShows the data in rows and columns.

28. Copyright © Ed2Net Learning, Inc.28 Assessment 28  If the measurements and graphs when analyzed appear to be incorrect, it might be due to ____________ Answer: Broken scale

29. Copyright © Ed2Net Learning, Inc.29 Assessment 29  Maggie and Harriet are recording the amount of water left until all of the water has evaporated everyday at school. Which graph should they use to represent their data about water and evaporation time when they are finished? Answer: Line graph

30. Practice 30  Represent the data given below using a bar graph and a circle graph DogWeight (Kg) Rambo12 Mickey20 Julie10 Winnie5

31. Copyright © Ed2Net Learning, Inc.31 Thank You! 31