Mathematical+Reflections,+p+17+10-11

__ Big Understanding: __ 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 of the variables around us?

__ Notes: __ Tables and graphs both show information, but in different ways. Most of the class, including myself, agreed that tables were better visual aids than graphs. We also discussed that the dependables go on the x axis because if there is a big difference in how much a coordinate’s value increased by from the coordinate before it, then the coordinates will be farther apart from each other, but if the value of a coordinate only increased a little from the coordinate before it, the coordinates will be closer together. We also discussed why the jumping jack rate got lower as time passed and what other things there are in our everyday life that vary, but don’t have to do with time. We also wrote what we thought a summary was and some of the main ideas of this unit, like the essential questions “What are variables?”, independent and dependent variables and where they go on graphs and graphs (and their expectations) and tables, and their patterns. =**__Mathematical Reflection__**= The two variables were the number of jumping jacks and the seconds that were going by. The time variable, which was the independent variable and where the seconds were going by, affected the number of jumping jacks variable, which was the dependent variable, because as seconds ticked away the jumping jack rate got lower because the jumping jackers, like me, got tired after doing it for a while. Something’s are: 1. How much sleep you get- the variables: Hours of sleep and the days you tested it out for. 2. How many steps you walked- variables: Number of steps and hours/minutes walked. 3. How many pimple you get- variables: Number of new pimples and days that you checked. Well, the variables of how many steps you walk would be a good example. I would put the number of steps variable, which is the dependent variable, on the x axis because if the values of the coordinates increase a little, then the coordinates will be close together, but if the values of the coordinates increase by a lot then they, the coordinates, will be farther apart. That is also why I put the independent variable, the hours/minutes walked, on the y axis, so the graph wouldn’t look like the jumping jacks were subtracting.
 * 1) In this investigation, you conducted a jumping jack experiment, collected the data in a table, and made a coordinate graph of the data. Your table and graph showed the relationship between two variables. What were the two variables? How did one variable affect the other?**
 * 2)a. Name some things in the world around you that vary and that can be counted or measured. Name two variables that you think are related.**
 * 2)b. Explain how you could make a graph to show the relationship between the two related variables from part a. How would you decide which variable should be on the x axis and which should be on the y axis?**

In this investigation I learnt that exercising for a long time will make the rate go lower. I also learnt, that when I made a table and graph to record my progress, the table was easier to read because it was consistently showing the time in seconds and right below it was the number of jumping jacks done in that amount of seconds, while in the graph, the information was scattered a bit and took longer to find the value of the coordinate. And to add to what I learnt in this investigation, I learnt that putting the dependable variable on the x axis made it easier because if the value of one coordinate was only a little higher than the other coordinates, it will be closer together, but if the value of one coordinate was really different from the others, it would be farther apart.
 * Think about your answers to these questions, discuss your ideas with other students and your teacher, and then write a summary of your findings in your journal.**


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