CONNECTING THE DATA: READING AND INTERPRETING GRAPHS AND TABLES
Presented by Kenneth Fahndrick CONNECTING THE DATA: READING AND INTERPRETING GRAPHS AND TABLES
Developing Data & Graph Literacy Agenda
Introductions and Ice Breakers
Developing Data & Graph Literacy Agenda Introductions and Ice Breakers Why Develop Data & Graph Literacy? Approximately 50% of GED math test questions involve some kind of visual/graph, from which students must extract some information necessary for using to solving the math problem!
Developing Data & Graph Literacy Agenda Introductions and Ice Breakers Why Develop Data & Graph Literacy? Approximately 50% of GED math test questions involve some kind of visual/graph, from which students must extract some information necessary for using to solving the math problem! Construct, Interpret & Compare Graphs of Statistical Data
Objectives Broaden Instructional Strategies Incorporate Real-World Materials Recognize and Understand Math Misconceptions of Today’s GED Student –Concepts, Rules, and Principles Provide Tools and Games for GED Math Teachers –Actively Engage Students –Provide Large and small Group Instruction –Provide Hands On Learning Activities
Math Themes – Most Missed Questions Theme 1: Geometry and Measurement Theme 2: Applying Basic Math Principles to Calculation Theme 3:Reading and Interpreting Graphs and Tables
Why are Graphics Important? Graphic aids are really designed to make the information easier to read and understand. Visuals such as tables, charts, and graphs summarize information in a way that allows us to see it differently. Graphs and Data tables condense information from the text. Reading the graphics will actually save you time!
Words to Remember Charts—a graphically representation of numbers. Graphs—represent data visually to compare data from different sources, show change over time, and make projection about the future. Tables—organize information or data in columns and rows. (Specific information is found where the column and row) intersect
Types of Graphs and Charts Bar graphs are often used to compare 2 or more items of data or show change over time.
Types of Graphs and Charts Line Graphs show change over time.
Types of Graphs and Charts Circle graphs/Pie charts show how part of an amount is related to the whole amount; the entire circle equals 100%
Types of Graphs and Charts Tables organize data in columns and rows. Specific data is found where columns and rows intersect.
Types of Graphs and Charts
Pictogram
Types of Graphs and Charts Pictogram Frequency table
Types of Graphs and Charts Pictogram Frequency table Scatter plots
Types of Graphs and Charts Pictogram Frequency table Scatter plots Line of best fit
“Scanning the Graph” Helpful Tips to Graphic Interpretation Look for the Graphic Title Connect the legend to the graph Look for both the horizontal and vertical axis labels Check for both the horizontal and vertical axis scales What does each increment represent? Are the increments spaced evenly on each axis? Check the graphic for a misleading format.
Chart Challenge Daily Graphing Questions: What is the color of your car? red, green, black, white How many hours of TV did you watch last night? How many children do you have? What is your favorite restaurant? How many pets do you have? How many bathrooms do you have in your home? How many siblings do you have? What is your favorite color?
Housing Prices What is misleading about this bar graph? How would you change it?
Hospital admittance for 2007
11% car Family Budget Income $3000
The Price of Gold JulyAugSeptOctNov Price on the Last Day of the Month THE PRICE OF GOLD
Most Missed Questions: Reading and Interpreting Graphs and Tables Areas of Weakness: –Comparing graphs –Transitioning between text and graphics –Interpreting values on a graph –Interpreting table data for computation –Selecting table data for computation
House A cost $100,000 and increased in value as shown in the graph. House B cost less than house A and increased in value at a greater rate. Sketch a graph that might show the changing value of house B. Initial Cost Increasing House Value 0 48 $0 $100,000 $200,000House A Time (years) Most Missed Questions: Reading and Interpreting Graphs and Tables
Which One? (3) B A (2) Most Missed Questions: Reading and Interpreting Graphs and Tables (1) 0 48 Time (years) 0 48 $0 $100,000 $200,000 (4) (5) B A Time (years) $0 $100,000 $200,000 A B 0 48 $0 $100,000 $200,000 Time (years) $100, $0 $200,000 B A Time (years) 0 48 $0 $100,000 $200,000 B A
The changing values of two investments are shown in the graph below. Most Missed Questions: Reading and Interpreting Graphs and Tables Amount of Investment $0 $1000 $2000 Investment A Investment B Time (years)
How does the amount initially invested and the rate of increase for investment A compare with those of investment B? Most Missed Questions: Reading and Interpreting Graphs and Tables Amount of Investment $0 $1000 $2000 Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Compared to investment B, investment A had a (1)lesser initial investment and a lesser rate of increase. (2)lesser initial investment and the same rate of increase. (3)lesser initial investment and a greater rate of increase. (4)greater initial investment and a lesser rate of increase. (5)greater initial investment and a greater rate of increase $0 $1000 $2000 Amount of Investment Investment A Investment B Time (years)
Most Missed Questions: Reading and Interpreting Graphs and Tables LOGIC STATEMENT: (First Criteria) AND (Next Criteria) ALL criteria must be true, for answer to be true. (First Criteria) OR (Next Criteria) ONE or more criteria must be true, for answer to be true.
The profit, in thousands of dollars, that a company expects to make from the sale of a new video game is shown in the graph. Most Missed Questions: Reading and Interpreting Graphs and Tables 0 4,0008,00012,000 $0 $200 $400 Profit/Loss in Thousands of Dollars Video Games Sold -$200
What is the expected profit/loss before any video games are sold? (1) $0 (2) -$150 (3) -$250 (4) -$150,000 (5) -$250,000 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 4,0008,00012,000 $0 $200 $400 Profit/Loss in Thousands of Dollars Video Games Sold -$200
What is the expected profit/loss before any video games are sold? (1) $0 (2) -$150 (3) -$250 (4) -$150,000 (5) -$250,000 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 4,0008,00012,000 $0 $200 $400 Profit/Loss in Thousands of Dollars Video Games Sold -$200
What is the expected profit/loss before any video games are sold? (1) $0 (2) -$150 (3) -$250 (4) -$150,000 (5) -$250,000 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 4,0008,00012,000 $0 $200 $400 Profit/Loss in Thousands of Dollars Video Games Sold -$200
What is the expected profit/loss before any video games are sold? (1) $0 (2) -$150 (3) -$250 (4) -$150,000 (5) -$250,000 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 4,0008,00012,000 $0 $200 $400 Profit/Loss in Thousands of Dollars Video Games Sold -$200
Results of Internet Purchase Survey Number of PurchasesNumber of Respondents What was the total number of internet purchases made by the survey respondents? (1) 86 (2) 100 (3) 106 (4) 175 (5) 189 Most Missed Questions: Reading and Interpreting Graphs and Tables
Results of Internet Purchase Survey Number of PurchasesNumber of Respondents What was the total number of internet purchases made by the survey respondents? (1) 86 (2) 100 (3) 106 (4) 175 (5) 189 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 x 14 = 0 1 x 22 = 22 2 x 39 = 78 3 x 25 = 75
Results of Internet Purchase Survey Number of PurchasesNumber of Respondents What was the total number of internet purchases made by the survey respondents? (1) 86 (2) 100 (3) 106 (4) 175 (5) 189 Most Missed Questions: Reading and Interpreting Graphs and Tables 0 x 14 = 0 1 x 22 = 22 2 x 39 = 78 3 x
Claude is sewing 3 dresses in style B using fabric that is 54 inches wide. The table below contains information for determining the yards of fabric needed. Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
Claude is sewing 3 dresses in style B using fabric that is 54 inches wide. The table below contains information for determining the yards of fabric needed. Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
Claude is sewing 3 dresses in style B using fabric that is 54 inches wide. The table below contains information for determining the yards of fabric needed. Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
Claude is sewing 3 dresses in style B using fabric that is 54 inches wide. The table below contains information for determining the yards of fabric needed. Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
Claude is sewing 3 dresses in style B using fabric that is 54 inches wide. The table below contains information for determining the yards of fabric needed. Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style B Yards of Fabric Needed Fabric Width 54 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style B Yards of Fabric Needed Fabric Width 54 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style B Yards of Fabric Needed Fabric Width 54 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
What is the minimum number of yards of fabric recommended for one dress each of size 10, 12, and 14? Yardage Information Most Missed Questions: Reading and Interpreting Graphs and Tables Dress Size Style A Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in Style B Yards of Fabric Needed 35 in Fabric 45 in Width 54 in 60 in
Tips from GEDTS: Reading and Interpreting Graphs and Tables Have candidates find examples of different types of graphs. Have candidates create questions for their graphics and/or those of others. Develop the capacity to translate from graphics to text as well as text to graphics. Develop the capacity to select pertinent information from the information presented. Reinforce the need to read and interpret scales, present graphs without scales or without units. Kenn Pendleton, GEDTS Math Specialist
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