Mathematical+Reflections,+p+79+10-11


 * 31-5-11**
 * Z.M.**
 * __Big Idea:__** **Many real world situations can be modeled and predicted using mathematics.**
 * __Essential Questions:__**
 * **What is the relationship between a table, a graph and an equation?**
 * **How can technology help us explore linear patterns in the world?**
 * **How can I use math symbols to describe a pattern?**
 * **How steep is that line?**
 * __Notes From Class:__** You find slope in equation: y = m x + b the m=slope. In graph: y1- y2/ x1-x2 . In a table choose two points and subtract x from the other x and y from the other y. Slope ( m ) is a number that tells u how steep a line is. Slope = m = rise/run x change in y/change in x. The vocabularies we learned were, coefficient which means ‘The factor of a variable term (the “3” in 3x), Intersection which means ‘A point of intersection where two graphs cross, Y-intercept which means ‘The coordinate at which a graph intersects the y-axis’, and Linear relationship which means ‘There is a straight line on the graph and pattern we can see and compare’.


 * __ Mathematical Reflection Number 5 __**
 * Question: 1.) Explain what the slope of a line is.**
 * Answer:** When the equation is written as y = mx + b the **__slope__** is the number " m " that is multiplied on the x. The slope is a number that tells how steep a line is. You could also use the method of rise/run.
 * Question: 2.) How can you find the slope of a line from its equation? From its graph? From a table of values for the line? From the coordinates two points on the line?**
 * Answer:** In Equation y = mx + b, and m is the slope. In a Graph =//y1-y2/x1-x2.// In Table you compare it (find difference) and when you find it that is the slope in a table, also choose two points and subtract it, x with the other x and y with the other y. You find a slope from the coordinates of two points on the line by making a triangle shape by connecting the two points. Then you would write the numbers you find when you connect it like this, (10, 20) or (x, y).
 * Question: 3.) Describe how information about y-intercept and slope allows you to compare two equations? For example, how can you decide which equation has a steeper graph? How can you determine where the graphs of the equations cross the x-axis?**
 * Answer:** y = mx + b, we all know m is the slope but how about b? Well it is a y-intercept, so both slope and y-intercept are in the same equation that is why it allows you to compare the two equations. You can decide which equation has a steeper graph by calculating the slope, and you can determine where the graphs of the equations cross the x-axis by the y-intercept and so both of them are calculated together.
 * Question: 4.) In Comparing and Scaling, you used ratios to make comparisons. What similarities are there between the way you used ratios in Comparing and Scaling and the way you have used slopes in this unit?**
 * Answer:** When ever there are new topics and new information they still talk about slopes. We use slopes to make comparisons, slope uses ratio, Calculations like dividing and adding or subtracting, and there is rise over run again.
 * Summary:** In this investigation I have found out answers to those questions I didn’t even know about such as, how could you find a steepness of a graph? Or what are slope and y-intercepts? Or the equation y = mx + b. I have learned how to practice calculating equations and making my own equations.


 * Source:**
 * []
 * Math Textbook [[image:http://teachers.cr.k12.de.us/%7Ereynolds/jjwp5/images/y=mx+b.bmp width="252" height="203" caption="http://teachers.cr.k12.de.us/~reynolds/jjwp5/images/y=mx+b.bmp"]][[image:http://onlinephys.com/slope2.jpg width="422" height="319" caption="http://onlinephys.com/slope2.jpg"]]
 * Vocabulary Quiz
 * Notes from Class
 * My notebook


 * [[image:math7c-2008:EJC_Square.png align="center"]] ||