Mathematical+Reflections,+p+68

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


=Mathematical Reflection from page 68=

1. Write a letter to a friend explaining how to use a graphic calculator to make graphs and tables. Use a specific example to illustrate your explanation.
Dear friend, We have been working with graphic calculators for about a week. They help us make graphs and tables! I am going to teach you how to use a graphic calculator. First you get a graphic calculator, (you can also do this on the computer by using USEFULL REASOURCES on Mr. Cooper’s main page on his wiki.) Then you write in your equation by pressing the right symbols on your graphing calculator. Then you click: graph it!!! Now it will show up on your graph but it will also show up as a table because it automatically turns it into a table when you type your data into your graphing calculator. If you want to compare two equations to each other, you just type in the equation and it will show up on the graph in a different color. This has helped me a lot! I hope that it will help you too.

Best wishes, Your friend


 * Below is an example:**

(It appears Red on the graph) Equation 1: y=3x-4 (It appears Green on the graph) Equation 2: y=3x+2 [|Click to see the graph for equation 1 and 2!]

2. The number of tents the tour organizers need is half times the number of costumers.

 * a. Write an equation for a rule you can use to calculate the number of tents for any number of costumer.**

__Word format of equation:__ the total # of tents= the total # of people divided by 2 __Equation:__ T=n/2


 * b. Does your equation give you enough information to make a table or graph? Why or why not?**

It would not be very hard to do a table/graph from this equation because the equation shows two variables (# of people and # of tents) and a pattern (# of people divided by 2) and that is all you need to make a table or a graph.

3. Think of a situation for which you can make a graph and a table, but not an equation.
I can actually not think of a situation when you can’t make an equation from a graph or table because the table/graph are actually showing the equation without symbols. They are showing the equation in a more visual way where you can look at similarities and differences easier.