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MATH SELF TUTOR

MATH SELF TUTOR. SKILL:. GRAPHS. Pennsylvania State Standard: Data and Probability. M7.E.1 Formulate or answer questions that can be addressed with data and/or organize, display, interpret or a nalyze data. Objectives.

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MATH SELF TUTOR

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  1. MATH SELF TUTOR SKILL: GRAPHS

  2. Pennsylvania State Standard: Data and Probability M7.E.1 Formulate or answer questions that can be addressed with data and/or organize, display, interpret or analyze data.

  3. Objectives • Student will be able to create an accurate graph (bar, multiple – bar, line, multiple – line, histogram, stem-and-leaf plot) • Students will be able to interpret data in order to answer questions.

  4. Types of Graphs • Bar Graph: a graph that uses horizontal or vertical bars to display countable data (set of information) NOPE! THERE ARE MORE! WOOHOO! Is that the only type of graph?

  5. ANOTHER TYPE OF GRAPH! • Multiple - Bar Graph: a bar graph that represents two or more sets of data.

  6. Types of Graphs • Line Graph: a graph that uses lines to show how data has changed over a period of time.

  7. Even More Graphs! • Multiple – Line Graph: a line graph that represents two or more sets of data and how they have changed over a period of time.

  8. More and More Graphs! • Histogram – a bar graph that shows the number of times data occur within certain ranges or intervals ONLY 1 MORE! SWEET!

  9. THE LAST GRAPH! • Stem – and – Leaf Plot: a data display that shows groups of data arranged by place value. Now lets learn how to make these graphs

  10. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH? • Label your x and y axis • Y axis is the vertical axis (up and down) • X axis the horizontal axis (side to side) Number of Students (y axis) School Subject ( x axis)

  11. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH? Give your graph a title! It should appear above your graph! Favorite School Subject

  12. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH? Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2 • Spacing: Y axis is every line ( you can choose to space your intervals however you want) Pattern: Every line you count by 2 (you can choose whatever pattern you want as long as it fits your data)

  13. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH? Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2 Spacing: X axis is every other line Math History Science Reading

  14. WHAT DO I HAVE TO DO TO MAKE A BAR GRAPH? Make sure your intervals are spaced evenly and follow a pattern! 14 12 10 8 6 4 2 Math History Science Reading Bars should be the same width and the same color!

  15. WHAT DO I HAVE TO DO I INTERPRET A BAR GRAPH? 8b’s FAVORITE SCHOOL SUBJECT The TITLEwill tell you what the graph represents. This graph is representing 8b’s favorite subject. 14 12 10 Number of Students (y axis) 8 6 4 2 Math History Science Reading School Subject

  16. WHAT DO I HAVE TO DO I INTERPRET A BAR GRAPH? WHAT IS THE X AXIS TELLING US? 8b’s FAVORITE SCHOOL SUBJECT Number of Students The x axis is telling us the subjects that the students voted for. You can tell by the way the axis is labeled 14 12 10 8 6 4 2 Math Reading History Science School Subject

  17. SAMPLE QUESTION! How many students choose Reading as their favorite subject ? 8b’s FAVORITE SCHOOL SUBJECT Number of Students 14 12 10 1.Find Reading on the x axis. 8 2.Follow the bar up until it stops. 6 3.Find the number on the y-axis that corresponds to where the bar ends. 4 2 8 students said that Reading is their favorite subject! Math History Science Reading School Subject

  18. HOW DO I MAKE A MULTIPLE BAR GRAPH? • You follow the same steps for making a bar graph • Make sure you have two or more bars and key to show what each bar represents.

  19. HOW DO I MAKE A MULTIPLE BAR GRAPH? Key = girls = boys 8th Grade’s Favorite Subject 12 Number of Students 9 6 Title 3 X and Y axis labeled Intervals evenly spaced Math Science History Reading Included Key School Subjects

  20. Line Graph? How do you make one of those? • It is simple. Remember a bar graph? You follow some of the same steps to get started. EASY! Title Label x and y axis Space intervals evenly

  21. MAKING A LINE GRAPH Number of books I read each month! Title Label axes 7 6 5 4 Space intervals evenly # of books 3 2 1 June August July September NOW FOR THE NEW ITEMS! Months

  22. MAKING A LINE GRAPH Number of books I read each month! To graph your data, point a point on in the correct spot. MAKE SURE THAT IT IS IN THE CORRECT ROW AND COLUMN. . 7 . 6 . # of books 5 Sample Information: 4 . 3 I read 3 books in June. 2 I read 6 books in July. 1 I read 4 books in August. June August July I read 1 book in September. September Months

  23. MAKING A LINE GRAPH Number of books I read each month! Then, using straight lines, connect your dots! . 7 . 6 . 5 # of books 4 . 3 2 1 June August July September Months

  24. MAKING A MULTIPLE - LINE GRAPH Number of books people have read each month! Follow the same steps for making a line graph. MAKE SURE YOU INCLUDE A KEY TO IDENTITY WHAT EACH LINE REPRESENTS! . . . 7 . . 6 . . 5 # of books 4 . 3 2 1 June August July September Months

  25. MAKING A MULTIPLE - LINE GRAPH Number of books people have read each month! . KEY = Susan = Cliff . . 7 . . 6 . . 5 # of books 4 . 3 2 The purple line shows you how many books Susan read each month, while the red line shows how many Cliff read each month 1 June August July September Months

  26. MAKING HISTOGRAMS! • Making a histogram is very similar to making a bar graph • So what is different? Lets check it out! • Title on the top of the graph • Label x and y axis • Equal intervals.

  27. MAKING HISTOGRAMS Salaries at A.B.C Toy Store A histogram includes ranges. 20 – 30 31 – 40 41 – 50 51 – 60 61 - 70 Salary for the year (in thousands)

  28. MAKING HISTOGRAMS When drawing the bars in the histogram, there should be no spaces! Salaries at A.B.C Toy Store 20 15 Number of Employees 10 5 0 – 20 21 – 40 41 – 60 61 – 80 81 - 100 Salary for the year (in thousands)

  29. Stem and Leaf Plots • A stem and leaf plot is different than the other graphs. It does not include bars, lines, or intervals. • A stem-and-leaf plot can help you compare data.

  30. How do I Make a Stem and Leaf Plot? • First, arrange your data from the minimum (least) to the maximum (greatest). • Math test scores: • 59, 70, 82, 84, 92, 96, 90, 100, 79, 73, 87 • Math test scores arranged from minimum to maximum • 59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100

  31. How do I Make a Stem and Leaf Plot? • The stem stands for the digit in the 10s place value. • Math test scores arranged from minimum to maximum • 59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100 If you have a number in which there is a place value greater than the 10s, include those in the stem. Stem 5 7 8 9 10

  32. How do I Make a Stem and Leaf Plot? • Each Leaf stands for the digit in the ones place value. MAKE SURE YOU ARE PUTTING THEM IN ORDER FROM MINIMUM TO MAXIMUM • Math test scores arranged from minimum to maximum • 59, 70, 73, 79, 82, 84, 87, 90, 92, 96, 100 Stem Leaf 9 5 7 0, 3, 9 2, 4, 7 8 0, 2, 6 9 0 10

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