MATHEMATICS Chapter 3: Data Management GOALS In this chapter, you will be able to: collect, organize, and analyze the results of a survey make bar graphs, line graphs, and scatter plots use mean and median to compare sets of data describe how changing the scale or interval size affects the apperence of a graph Use data to amke arguments GETTING STARTED TEXTBOOK (P ) Does the memory of pictures improve with practice? TEXTBOOK (P ) A.Trial 1 Study the pictures for one minute. Close your book, and then list as many pictures as you can remember, one on each cell of the table. You have one minute to complete your list. TEXTBOOK (P ) B.Count the number of pictures you remembered correctly in the first cell of the table. Record the number of pictures remembered by other students in your class in the remaining cells of the table. TEXTBOOK (P ) TEXTBOOK (P ) C.Trial 2 Repeat Parts A and B. Record your results on a new set of tables. TEXTBOOK (P ) TEXTBOOK (P ) D.Organize your data for both trials into intervals. Explain why you chose these intervals. TEXTBOOK (P ) Trial 1Trial 2 RangeTally TEXTBOOK (P ) E.Create a double bar graph of the results of both trials. Explain how you chose your scale. TEXTBOOK (P ) F.Does the memory of pictures improve with practice? Use the graph to justify your reasoning. CREATING AND ANALYZING A SURVEY Lesson 1 INTRODUCTION To collect, organize, and display the results of a survey, we need to understand the purpose and process of creating a survey. SURVEY A survey is a method that uses questions to collect information. It involves the following steps: 1.Creating questions 2.Asking questions 3.Tallying results 4.Presenting results TEXTBOOK (P. 70) 1.How often do you use the internet in the evenings? a._____ b._____ c._____ d._____ e._____ 2.How often do you use the internet for IM? a._____ b._____ c._____ d._____ e._____ INDEPENDENT WORK 1.Textbook (p. 70) Complete Parts A, C, E, and F ; hand in. 2.Workbook (p. 21) PLOTTING COORDINATE PAIRS Lesson 2 INTRODUCTION To plot points on a grid, we need to understand the terms coordinate plot, plot, coordinate pair, and origin. COORDINATE GRID A coordinate grid is a grid with each horizontal and vertical line numbered in order. PLOT A plot is the process of locating and drawing a point on a coordinate grid. PLOT A plot is the process of locating and drawing a point on a coordinate grid. COORDINATE PAIR A coordinate pair is a pair of numbers that describe a point on a coordinate grid. For example: (5, 3) (x-coordinate, y-coordinate) ORIGIN An origin is the point on a coordinate grid where the horizontal and vertical axis meet. In other words, the point (0,0). ORIGIN An origin is the point on a coordinate grid where the horizontal and vertical axis meet. In other words, the point (0,0). UNDERSTANDING COORDINATE PAIRS PRACTICE QUESTIONS A.Using a coordinate grid, plot the points (5, 3), (2, 0), and (5, 0). UNDERSTANDING COORDINATE PAIRS PRACTICE QUESTIONS B.What does 0 in a coordinate pair mean in terms of movement? INDEPENDENT WORK 1.Activity (handout): Plot the coordinate pairs using the coordinate grid. Determine the hidden character and colour the drawing (optional). 2.Textbook (p. 73) Complete #6 ; hand in. 3.Workbook (p. 22) LINE GRAPHS Lesson 3 INTRODUCTION To create and interpret line graphs, we need to understand the purpose of a line graph. LINE GRAPH A line graph shows how the change in one value is related to change in another value. TEXTBOOK (P ) How can you use a line graph to predict how much water the tap wastes in a week? TEXTBOOK (P ) A.Using Chandras data, plot the remaining points and draw a line through the four points. TEXTBOOK (P ) B.Describe the shape of the line graph. C.Describe any pattern you see in each row of the table. TEXTBOOK (P ) D.What rule can you use to calculate the amount of water wasted if you know the number of days? E.Use the rule to predict the number of liters of water wasted in 2.5 days. TEXTBOOK (P ) F.Use the line graph to predict the amount of water lost in 5, 6, and 7 days. INDEPENDENT WORK 1.Textbook (p. 76): Complete #5-7; hand in #5. 2.Workbook (p. 23) SCATTER PLOTS Lesson 4 INTRODUCTION To create and interpret scatter plots, we need to understand the purpose of a scatter plot. SCATTER PLOT A scatter plot shows if one set of data can be used to make predictions about another set of data. CREATING SCATTER PLOTS TEXTBOOK P Why did Qi use the a squiggaly line on each axis of the scatter plot? 1.Explain how to use the scatter plot to identify the team that scored the most goals. CREATING SCATTER PLOTS TEXTBOOK P How can you use Qis scatter plot to predict the number of wins by a team that scores 200 goals. INDEPENDENT WORK 1.Textbook (p ): Complete #6-7; hand in #6. 2.Workbook (p. 24) MID-CHAPTER REVIEW 1.Group Activity: Pair up with the person sitting next to you. Turn to page 81 in your textbook and play the math game. 2.Independent Work: Complete the Frequently Asked Questions handout. Answer questions 1 to 4 on page 83 in your textbook. MEAN & MEDIAN Lesson 5 INTRODUCTION To use the mean and median to compare sets of data, we need to understand the terms mean and median. MEAN Average is the mean one. It makes you go to work. Add up every penny and divide it by how many. MEDIAN Median. Median. Play on a fiddle. Slash off the sides and Im right in the middle. Unless there is two, then divide them by two. DETERMINING MEAN & MEDIAN TEXTBOOK P Determine the mean and median donations for each owl. 2.Which owl had the greatest mean and median donations? OwlMeanMedian Onohodo Gwaoh Ogra DETERMINING MEAN & MEDIAN TEXTBOOK P Show your work. INDEPENDENT WORK 1.Textbook (p. 85): Complete #4-7; hand in #5. 2.Workbook (p. 25)