2.5+Day+5+Norfolk+to+Williamsburg+10-11

Aug 25, 2010 CSM


 * Big Idea:** The big idea for this unit is "Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
 * Essential Question:** What are some situations that we can describe as variable.


 * Notes from class:**

**Aug 22, 2010**
- Graph: The scale, or distance between data points. - Table: Difference
 * //Dependent Variable://** The Dependent Variable is depending on the Independent Variable, also known as Y axis and X axis, Dependent Variable and Independent Variables will always change.
 * //Independent Variable://** The Independent Variable is depending on the Dependent Variable. The Independent and Dependent Variable is the labels for the Y axis and the X axis, so it will always change depending on what your graph is suppose to show.
 * //Variable://** A quantity that can change.
 * //Pattern://** A change that occurs in a predictable way. Find if predictable by:



Aug 23, 2010
//**Summary:**// A summary is a short description of what we read or learned.


 * //BRAINSTORMING for MR 1 MAIN IDEAS://**

-Independent Variable (X axis) -Dependent Variable: (Y axis)
 * -Variable**
 * -Data collection & Graphing (Tables)**
 * -Seeing Patterns**
 * -Table Differences**
 * -Graph Distances**
 * -Additional Questions**

1. How can you predict the way a pattern will turn out without using a graph or table?
 * Some questions I have from class notes are:**


 * What we did in class the 23 of August:**
 * In class some of us finished the Diagnostic Test. We also worked a little bit on our Mathematical Reflection, and this included finishing a summery. We talked a little about graphs and patterns, and then we brainstormed the MR1 main ideas. **

=PROBLEM 2.5=

A- What was theo's fastest recorded speed, and when did it occur?
 * Theo's fastest speed was at 80-90 minutes were he was on 20 miles an hour.**



B- What was Theo's slowest recorded speed, and when did it occur?
 * Theo's slowest speed was at 40 minutes because he is at 0 miles an hour, also at 100 min he is also at 0 miles per hour.**

C- Describe the changes in Theo's speed during the race.
 * Theo keeps a good and steady pace at 10 minutes to 70 minutes, even though it varies a lot it still going up and down at the same rate.**

D- The graph only shows Theo's speed at 10 minutes intervals; it does not tell us what happened between 10-minute marks. The paths below show five possibilities of how Theo's speed may have changed during the first 10 minutes. Explain in writing what each connecting path would tell about Theo's speed.
 * 1- Would tell us that he keeps getting faster.**
 * 2- Would tell us that he speeds up but then slows down close to the end.**
 * 3- Would tell us that that he was slow in the beginning but then speeds up at the end.**
 * 4- Would show us that he was standing still in the beginning but then speeds up a lot after, all the way to the end.**
 * 5- Would tell us that he keeps getting faster in the beginning but as he reached the end he slows down and is almost standing still.**

=**2.5 Follow Up**=



1- Would it be possible for the path below to represent Theo's progress between 10-minute marks? Why or why not?
 * It doesn't because you can see that for every 10 minutes it goes up and down at the same pace, but the graph ends in going up all the time.**

2- During which 10-minute period(s) of the race did Theo's speed change the most?
 * The speed changes the most from 70-90 minutes into the race. Mostly during the end, but then drops rapidly at the end. Maybe because he is standing still.**