LINEAR EQUATIONS Introduction to



An Aeronautical Activity Introduction to

Scatter Plots

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Description

In this activity students will learn to:

1. Create a scatter plot.

2. Describes the correlation shown by the scatter plot.

3. Determine a trend line.

Contents Pages

Student worksheets 2-3

Calculator Instructions/

Teacher Notes 4-5

Grid Paper 6

Launcher Instructions 7

Expected Outcomes

Students will

▪ Review measurement

▪ Create a scatter plot

▪ Determine a trend line

▪ As an extension, try to determine a number sentence (rule) for the data.

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NCTM Standards 2000

Algebra Representation

Geometry Communication

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Worksheet

An Aeronautical Activity

Launcher: ____________________________

Flight Evaluator: ____________________________

Recorder: ____________________________

Launch Instructions

Holding the “launch pad” at a predetermined angle, the launcher will stretch the rubber band along the ruled portion of the “launch pad” and release it into the air. The flight evaluator will measure the distance traveled by the rubber band. The recorder will write down the “stretch distance” and the “flight distance” in the chart below.

Note: You must perform at least 8 launches (varying the stretch distance). You may use fractional stretch distances (eg. 3 ½ inches or 8.5 cm).

|Stretch Distance (in inches or cm) |Flight Distance (in inches or cm) |

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On a separate piece of paper each member of the group must complete the following.

1. Draw a scatter plot for the data.

2. Describe the correlation shown by the scatter plot.

3. Approximate the trend line for the data. (Draw the line on your scatter plot.

4. If it were possible to stretch the rubber band 15 inches or 38 cm, predict how far the rubber band would travel. (Use your trend line to answer this question.)

5. Extra for experts. Up to the challenge? Try to determine the equation of your trend line.

1. Follow the steps below to create a scatter plot:

1. Press STAT

2. Highlight 1:Edit

3. Press ENTER

4. Move the cursor to the first cell in L1 and enter the numbers, pressing ENTER after each number (x values)

5. Move the cursor to the first cell in L2 and repeat the process for the y values

6. Press 2nd STATPLOT

7. Highlight 1:Plot 1

8. Press ENTER

9. Highlight ON

10. Press ENTER

11. Highlight the first Type: (which is a scatter plot)

12. Press ENTER

13. Highlight L1 for the xlist (if it is not L1, Press 2nd L1 to change it)

14. Highlight L2 for the ylist

15. Highlight the box for the Mark

16. Press ENTER

17. Press ZOOM

18. Use cursor keys to get to 9:ZoomStat

19. Press ENTER

2. Following the steps below, do a line of best fit on your graphing calculator

(regression line):

Using the points from our scatter plot decide what type of graph it might be

1. STAT

2. CALC

3. 4:LinReg (ax + b)

4. 2nd L1

5. ,

6. 2nd L2

7. ,

8. VARS

9. Y-VARS

10. FUNCTION

11. Y1

12. ENTER

13. GRAPH

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Teacher Notes and Solutions

Note: If time is an issue, have the students create their launchers the day before the activity.

Data Graph of Data

|Stretch Distance |Launch Distance |

|4.6 |193 |

|6 |202 |

|7 |258 |

|8 |282 |

|9.5 |269 |

|10 |345 |

|12 |240 |

|12 |269 |

|12 |311 |

1.

2. Possible answer: as you stretch the rubber band more, the flight distance increases.

3.

4. 327 inches.

Name:______________________________________ Date:___________________

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Creating The Launcher

Materials: Plastic ruler, a plastic protractor (5 inches), and tape.

1. Determine the angle you want your ruler to be set at to launch your rubbers.

2. Tape the ruler to the protractor at the determined angle.

3. You’re ready to launch.

Note: See the diagram below.

Ruler

Protractor

Tape

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