2.4+Day+4+Chincoteague+Island+to+Norfolk+10-11

M.J. (Madina Jumabaeva)  Math 7-B  September 3, 2010

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=== Variables and Patterns __Big Idea: __ Observation and description of changes in the world around us are the first steps in finding and learning about patterns. ===

**Investigation 2 Essential Question:** __What are some situations that we can describe as variable?__ = = = =

=Notes from class =
 * n/0 = undefined
 * The x-axis stays the same --> consistent intervals
 * If the time increases --> distance increases
 * Connecting the points on coordinate graph makes it easier to see the patterns, differences and relationships between 2 variable.
 * It also helps us to read the graph
 * We should connect continuous
 * <span style="font-family: 'Comic Sans MS',cursive;">We should not connect discontinuous


 * <span style="font-family: 'Comic Sans MS',cursive;">New vocabulary **


 * **<span style="font-family: 'Comic Sans MS',cursive;">Word ** || **<span style="font-family: 'Comic Sans MS',cursive;">Definition ** ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Coordinate pair || <span style="font-family: 'Comic Sans MS',cursive;">An ordered pair of numbers used to locate a point on a coordinate graph. ||


 * <span style="font-family: 'Comic Sans MS',cursive;">Class Discussions **
 * <span style="font-family: 'Comic Sans MS',cursive;">Tables: **
 * <span style="font-family: 'Comic Sans MS',cursive;">Pro's || <span style="font-family: 'Comic Sans MS',cursive;">Con's ||
 * # <span style="font-family: 'Comic Sans MS',cursive;">Gives exact numerals
 * 1) <span style="font-family: 'Comic Sans MS',cursive;">Easier to construct
 * 2) <span style="font-family: 'Comic Sans MS',cursive;">You can add columns to compare || # <span style="font-family: 'Comic Sans MS',cursive;">Not easy to "see" differences ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Graphs: **
 * <span style="font-family: 'Comic Sans MS',cursive;">Pro's || <span style="font-family: 'Comic Sans MS',cursive;">Con's ||
 * # <span style="font-family: 'Comic Sans MS',cursive;">You can find patterns visually || # <span style="font-family: 'Comic Sans MS',cursive;">It is difficult to read the exact data ||

__<span style="color: #800080; font-family: 'Comic Sans MS',cursive; font-size: 110%;">Problem 2.4 Day 4- Chincoteague Island to Norfolk __ <span style="font-family: 'Comic Sans MS',cursive;"> On day 4, the group traveled from Chincoteague Island to Norfolk, Virginia. Norfolk is a major base for the United States Navy Atlantic Fleet. Malcolm and Sarah rode the van. They forgot to record the didtance traveled each half hour, but they did write some notes about the trip.

**<span style="font-family: 'Comic Sans MS',cursive;">Malcolm and Sarah's Notes **
 * <span style="font-family: 'Comic Sans MS',cursive;">We started at 8:30 A.M and rode into a strong until our midmorning break.
 * <span style="font-family: 'Comic Sans MS',cursive;">About midmorning, the wind shifted to our backs.
 * <span style="font-family: 'Comic Sans MS',cursive;">We stopped for lunch at a barbeque stand and rested for about an hour by this time, we had traveled about halfway to Norfolk<span style="font-family: 'Comic Sans MS',cursive;">.
 * <span style="font-family: 'Comic Sans MS',cursive;">At around 2:00 P.M., we stopped fro a brief swim in the ocean.
 * <span style="font-family: 'Comic Sans MS',cursive;">At around 3:30 P.M., we had reached the north end of the Chesapeake Bay Bridge and Tunnel. We stopped for few minutes to watch the ships passing by. Since bikes are prohibited on the bridge, the riders put their bikes in the van, and we drove across the bridge.
 * <span style="font-family: 'Comic Sans MS',cursive;">We took 7 and a 1/2 hours to complete today's 80 mile trip.

<span style="font-family: 'Comic Sans MS',cursive;">**A) Make a table of (time,distance) data that reasonably fits the information in Malcolm and Sara's notes.** <span style="font-family: 'Comic Sans MS',cursive;">~Here is the table that shows information from Malcolm and Sarah's notes. || <span style="font-family: 'Comic Sans MS',cursive;">0 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">10 || <span style="font-family: 'Comic Sans MS',cursive;">15 || <span style="font-family: 'Comic Sans MS',cursive;">30 || <span style="font-family: 'Comic Sans MS',cursive;">45 || <span style="font-family: 'Comic Sans MS',cursive;">55 || <span style="font-family: 'Comic Sans MS',cursive;">57 || <span style="font-family: 'Comic Sans MS',cursive;">60 || <span style="font-family: 'Comic Sans MS',cursive;">65 || <span style="font-family: 'Comic Sans MS',cursive;">70 || <span style="font-family: 'Comic Sans MS',cursive;">70 || <span style="font-family: 'Comic Sans MS',cursive;">73 || <span style="font-family: 'Comic Sans MS',cursive;">73 || <span style="font-family: 'Comic Sans MS',cursive;">73 || <span style="font-family: 'Comic Sans MS',cursive;">80 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Time(hours) || <span style="font-family: 'Comic Sans MS',cursive;">0.0 || <span style="font-family: 'Comic Sans MS',cursive;">0.5 || <span style="font-family: 'Comic Sans MS',cursive;">1.0 || <span style="font-family: 'Comic Sans MS',cursive;">1.5 || <span style="font-family: 'Comic Sans MS',cursive;">2.0 || <span style="font-family: 'Comic Sans MS',cursive;">2.5 || <span style="font-family: 'Comic Sans MS',cursive;">3.0 || <span style="font-family: 'Comic Sans MS',cursive;">3.5 || <span style="font-family: 'Comic Sans MS',cursive;">4.0 || <span style="font-family: 'Comic Sans MS',cursive;">4.5 || <span style="font-family: 'Comic Sans MS',cursive;">5.0 || <span style="font-family: 'Comic Sans MS',cursive;">5.5 || <span style="font-family: 'Comic Sans MS',cursive;">6.0 || <span style="font-family: 'Comic Sans MS',cursive;">6.5 || <span style="font-family: 'Comic Sans MS',cursive;">7.0 || <span style="font-family: 'Comic Sans MS',cursive;">7.5 ||
 * <span style="font-family: 'Comic Sans MS',cursive;">Distance(miles)
 * <span style="font-family: 'Comic Sans MS',cursive;">Difference || <span style="font-family: 'Comic Sans MS',cursive;">0 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">15 || <span style="font-family: 'Comic Sans MS',cursive;">15 || <span style="font-family: 'Comic Sans MS',cursive;">10 || <span style="font-family: 'Comic Sans MS',cursive;">2 || <span style="font-family: 'Comic Sans MS',cursive;">3 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">5 || <span style="font-family: 'Comic Sans MS',cursive;">0 || <span style="font-family: 'Comic Sans MS',cursive;">3 || <span style="font-family: 'Comic Sans MS',cursive;">0 || <span style="font-family: 'Comic Sans MS',cursive;">0 || <span style="font-family: 'Comic Sans MS',cursive;">7 ||

<span style="font-family: 'Comic Sans MS',cursive;">**B) Sketch a coordinate graph that shows the same information.** <span style="font-family: 'Comic Sans MS',cursive;">~The graph below shows the same information from the table and the notes.

__<span style="color: #800080; font-family: 'Comic Sans MS',cursive;">2.4 Follow Up __ **<span style="color: #000000; font-family: 'Comic Sans MS',cursive;">~ Explain how you used each of the six notes to help you make your table and graph. ** <span style="font-family: 'Comic Sans MS',cursive;">I used the 6 notes to help me make my coordinate graph and table. I took the main ideas and made data table from it. I first started with 0 miles on 8:30A.M. Then, I added 3-5 miles until midmorning, which is 10:30 A.M., 2 hours later. I followed the notes and made sure that it fit with my table and graph. At the end, I finished the number of miles with 80 miles.