Two-Variable Data On the coordinate plane, plot points with given coordinates, and determine the coordinates of plotted points. Represent a two-variable.

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Presentation transcript:

Two-Variable Data On the coordinate plane, plot points with given coordinates, and determine the coordinates of plotted points. Represent a two-variable data set with a scatter plot Given a pair of calculator lists, plot points whose coordinates are in those lists. Interpret scatter plots Learn and use vocabulary related to coordinates and graphs

One Variable Data

Two- Variable Data Scatter plots x y

Two- Variable Data Abscissa Ordinate (x,y) is called an ordered pair Origin Coordinate Plane

Two- Variable Data (-1,2)

Place the Four Quadrant Coordinate in your Communicator® Look at the page of vocabulary and then label the various parts of the coordinate grid

(-2, -4) (3,5) abscissa coordinate plane ordered pair (x,y) ordinate origin Quadrant II Quadrant I Quadrant III Quadrant IV x-axis y-axis

Two-variable data points are described by pairs of numbers. They can be represented in a scatter plot, in which each point has one of those pairs as its coordinates on the coordinate axis.

Let It Roll Where: Page 70 What You’ll need Centimeter ruler Centimeter tape A Ramp (Book) An Object to Roll (A pencil) Masking Tape Graph Paper

Question How far will an object roll? How does the release height of a ramp affect this distance? Let’s collect some data to answer these questions. First data will be the height of the ramp Second data will the distance from the book that the object stops

Set up your experiment as shown. Mark the point on the ramp from which you will release the rolling object. Make sure that you have plenty of room in front of your ramp for the object to roll freely. Record the release height of the object in a table like this one. Release height (cm)Roll distance (cm)

Release the object and let it roll to a stop. Measure the distance the object traveled from the base of the ramp to its stopping point. Record this in your table.

Repeat the experiment at least five times, using a different release height each time. Record the data in your table.

Place the grid paper in the Communicator®. Create a set of axes on your graph paper. Label the axes as shown. Height (cm) Distance rolled (cm)

Scale the x-axis appropriately to fit all your height values. For example, if your largest height was 8.5 cm, you might make each grid unit represent 0.5 cm. Scale the y-axis to fit all your roll-distance values. For example, if your longest roll length was 80 cm. you might use 10 cm for each vertical grid unit. Height (cm) Distance rolled (cm)

Plot each piece of two-variable data from your table. Think of each row in your table as an ordered pair. Locate each point by first moving along the horizontal axis to the release-height measurement. Then move up vertically to the corresponding roll distance. Mark this point with a small dot.

Describe any patterns you see in your graph. Is there a relationship between the two variables?

Enter the information from your table into two calculator lists. Make a scatter plot. The calculator screen should look like the graph you drew by hand. (See Calculator Note 1F)

Turn to page 72 Read the example on this page.

Assigning Homework TypeQuestions Essential1, 2, 4, 7, 10 Performance Assessment 5, 7 Portfolio8 Journal6 Group8, 10 Review11, 12

Linking Turn to Calculator Note 0F on page 4 of the Calculator Notes Follow Directions for obtaining a Points program Follow Directions for sending a Points program

Use the Calculator for Practice Run the Points program. Press PRGM and select Points. Press Enter when you see prgm POINTS on the homescreen. Further directions appear on page 17 in the Calculator Notes (Note 1G)