Student+Activities+Page

​__Activities for the Week__


=**__Monday __** = ====We have been learning how to graph points on a coordinate or Cartesian plane. This week we will be learning how to graph linear equations but today I would like to review what we have learned so far and play a game. We will be playing battleship. ==== ====**1.** The first thing you need to do is make your game board consisting of two coordinate planes. You will use a sheet of graph paper. Fold the paper in half like a hamburger and open it back up. At the top half of the graph paper you will label it "Opponent’s Ships". Draw an x and y axis going from 10 to -10 on both axes. On the bottom half of the paper, label it "My Ships". Draw the same x and y axis going from 10 to -10. You will also want to make a space to put the points called so that you can keep track. It should look something like this:  ==== ====**2.** Once you have made your game board get with a partner and put your desks so that you are facing your opponent. ==== ====**3.** Then each of you must decide where your ships will be. You will plot points on the graph titled “My Battleships”. There are five ships: one carrier (made of 5 points), two destroyers (made of 4 points each), and two submarines (made of 3 points each). The ships can go diagonally, vertically, or horizontal. Plot the points for a ship and connect them with a line. Then you are ready to start playing the game. ==== ====**4.** One person starts by calling a point. It is a good idea for both of you to write down the points that have been called. The opponent declares whether it was a hit or miss (and if the ship is sunk). The person who called the point marks the hit with an "X" or a miss with an "O" on the "Opponent's Battlefield". The winner will sink all of the opponent’s ships. If you finish playing a game grab some more graph paper and play again until class ends. ====


__**Tuesday**__​  Now that you have graphing points down, today I am going to teach about graphing lines. You will need to take notes in class. I have written just a few things that I will be teaching here but additional information and examples will be given in class. Remember taking good notes and asking questions is a sure way to get an A!

A line is made up of at least two points connected by a line. An equation of a line is called **linear** because its graph is a straight line. Two important things that you need to graph equations are slope and the y intercept. 
 * Slope** is the steepness or slant of a line. Slope is very easy to calculate. The variable “m” is used to denote slope. All you need is two points and this formula.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">Example: Let’s say you have two points. Point 1 (1,1) and point 2 (2,3) Remember Point 1 (x1,y1) and point 2 (x2,y2). So…

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;"> The **y-intercept** is another important value for graphing a line. The y-intercept is the y value of the point where the line intersects the y-axis. This point will always have the x coordinate of zero. If you know the equation of the line, just plug in zero for x. The solution will give you y=# and the # is the y-intercept. “b” is the variable associated with the y-intercept.

The **x-intercept** is the point where the line crosses the x-axis. This is the point where y=0.

The equation of a line can always be written in this form, where m is slope and b is the y-intercept: **y=mx+b** This form is called **<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">slope-intercept form. //Homework: Textbook pg.102 #'s 1-30 odd//** This website contains more information. Look at it for help. <span style="color: #800080; mso-ansi-font-size: 12.0pt; mso-bidi-font-family: 'Times New Roman'; mso-bidi-font-size: 12.0pt; msoansifontsize: 12.0pt; msobidifontfamily: 'Times New Roman'; msobidifontsize: 12.0pt;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 16pt;">​**__ Wednesday __**

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">We will be in the computer lab today.
 * 1.** Log on to []. Go to the math section. Click on see all math movies. Watch the movie Graphing Linear Equations.
 * 2.** Take the graded quiz in the quiz section. At the end of the quiz select view your results. Write down your grade on your paper.
 * 3.** Then click on the FYI section and go to the Do It! page. There are 6 problems. Do these problems. Remember to write down the problem first and show your work. I know the answers are given to you at the bottom of the page. I will be checking your work not just your answer to see if you understand how to solve the problem. Also be sure to read through the other FYI sections.
 * 4.** Go to the activities section. Complete the activity “Use the Formula”. You need to write down the equation and all questions, show your work when solving for y, and draw the graph on your paper.
 * 5.** In the activities section, go to the vocabulary page. Write out the definitions of the words on your paper. You may need to watch the movie again.
 * 6.** Review slope and y-intercepts that we did yesterday by watching the Brainpop movie Slope and Intercept. Take the review quiz at the end of the movie.


 * Turn in your paper to me when you are finished so that I can make sure you completed it. Your paper should include your quiz score, 6 worked out problems from the FYI Do It! section, the “Use the Formula” activity (work, answers, and graph), and defined vocab words. Only when you are done start on tonight’s **//homework pg. 104 #’s 1-10, 11-20 odd//**.

<span style="color: #008000; font-family: Arial,Helvetica,sans-serif; font-size: 16pt;">__**<span style="color: #008000; font-family: Arial,Helvetica,sans-serif; font-size: 16pt;">​ Thursday**__

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">Today you will be taking notes again. I put up some of the major points here but I will be giving more explanations and examples in class.

I am going to teach you how to graph linear equations. There are two different ways that you can go about graphing a line. One way is to find the x and y values of two points that satisfy the equation, plot each point, and then draw a line through the points. We can start with any two x values (like 1 and 2), and then find y for each x by substituting the x values into the equation.

Another way to graph linear equations is by using the slope and y-intercept. There are 3 general steps that you should follow: 1. Locate the y-intercept on the graph and plot the point 2. Starting from this point, use the slope to find a second point 3. Draw a line connecting the two points

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">Consider the linear equation:

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">We can see that it is in slope-intercept form. The y-intercept is (0,2). Plot the point (0,2). The slope is ½. The slope means rise over run. The rise is 1 and the run is 2. Therefore you move to the right by 2 and up by 1. Make a point here. Then connect the two points with a line and you’re done.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">This website has more information if you need extra help. [] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 16pt;"> <span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;"> TGIF! This class should be a good review of everything we have learned this week. You will be in groups of 5 and moving to different stations throughout the classroom. There are 4 stations. There are worksheets at each station. Anything you do not finish in class will be homework. You will have about 10-12 minutes at each station. I do not expect you to finish all the problems in class just work on what you can now. I will be collecting all of the worksheets on Monday. Everyone in the group needs to turn in their own worksheet. Everyone works on the problems. Remember to discuss, participate, and ask! <span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;"> __Station 1: Finding Slope from a Graph__ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> <span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">__Station 2: Finding Slope from an Equation__ __<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">Station 3: Finding Slope from Two Points Station 4: Graphing Lines __
 * //<span style="font-family: Arial,Helvetica,sans-serif; font-size: 12pt;">Homework: Textbook pg. 106 #'s 1-15 //**
 * <span style="color: #008000; font-family: Arial,Helvetica,sans-serif; font-size: 16pt;">__Friday__ **