1. HOMETOWN PUZZLER Page>> Page>> 2 3 4 5 6 7 8 9 10 11 12345 6789101112

2. There are four friends who come from different parts of the Philippines. They are Lito, Nelia, Lucy and Mitoy. Whenever they are asked where their hometowns are, they would show a map and each would say, Lito: “My hometown falls on the line represented by the equation x = -5.” Nelia: “My hometown falls on the line represented by the equation y = -11.” Lucy: “My hometown falls on the line represented by the equation y = 3x + 6.” Mitoy: “My hometown falls on the line represented by the equation 2x + 5y = 10.” Your teacher will give you the map. The black dots in that map represent different possible hometowns. Can you find out where their hometowns are? For you to be able to answer this, you have to learn how to graph linear equations in the coordinate system. Page>> 1Page>> 1 3 4 5 6 7 8 9 10 11 123456789101112

3. Express the equation in slope- intercept form and use the slope and the y-intercept to graph the line. Determine the slope of the line represented by the equation and draw a line with this slope starting from the origin Plot an ordered pair satisfying the equation and connect this point with the origin to create a line. Make a table of ordered pairs satisfying the equation and use these to graph the line. Graphing linear equations in the coordinate system Which of the methods in the above diagram will lead you to graphing linear equations in the coordinate system? Be ready to explain your choice. Page>> 1Page>> 1 2 4 5 6 7 8 9 10 11 12245 678910 1112

4. THINKING ABOUT OUR CHOICES Plot an ordered pair satisfying the equation and connect this point with the origin to create a line. What is the use of the ordered pair in graphing a line? _____________________________________ _____________________________________ Why does the line need to pass through the origin? _____________________________________ _____________________________________ Express the equation in slope-intercept form and use the slope and the y-intercept to graph the line. What is the use of the y-intercept in graphing a line? _____________________________________ _____________________________________ What is the use of the slope in graphing a line? _____________________________________ _____________________________________ Determine the slope of the line represented by the equation and draw a line with this slope starting from the origin. What is the use of the slope in graphing a line? _____________________________________ _____________________________________ Why does the line need to pass through the origin? _____________________________________ _____________________________________ Make a table of ordered pairs satisfying the equation and use these to graph the line. How do you make a table of ordered pairs? _____________________________________ _____________________________________ How do you use the ordered pairs to graph the line? _____________________________________ _____________________________________ Page>> 1Page>> 1 2 3 5 6 7 8 9 10 11 12235 678910 1112

5. LESSON 1: To learn about graphing linear equations, click on the website below: http://www.purplemath.com/modules/ graphlin.htm ACTIVITY 1 Fill in the T-Chart of the following equations with at least three ordered pairs. 2x + y = 6 x = 3 After learning from this website, answer the activity on the right. Page>> 1Page>> 1 2 3 4 6 7 8 9 10 11 12234678910 1112

6. LESSON 2: To learn more about graphing linear equations, click on the website below: http://www.math.com/school/subject2 /lessons/S2U4L3GL.html ACTIVITY 2 Carefully analyze the two equations below then answer the following questions. After learning from this website, answer the activity on the right. -2x + 3y = 3 a. How would you express this equation in slope-intercept form? ______________________________ b. What is its y-intercept? _________ c. What is the slope of this line? ____ y = 5 a. How would you express this equation in slope-intercept form? ______________________________ b. What is its y-intercept? _________ c. What is the slope of this line? ____ Page>> 1Page>> 1 2 3 4 5 7 8 9 10 11 1223478910 1112

7. GUIDED PRACTICE ACTIVITY 3 Let us go back to the equations that you have answered in ACTIVITY 1. Using the T-Chart of ordered pairs, graph these two equations on a graphing paper. Draw a separate coordinate system for each equation. ACTIVITY 4 Let us go back to the equations that you have answered in ACTIVITY 2. Using the y-intercept and slope of the line, graph these two equations on a graphing paper. Draw a separate coordinate system for each equation. Page>> 1Page>> 1 2 3 4 5 6 8 9 10 11 1223468910 11 12

8. INDEPENDENT PRACTICE Now you are ready to graph linear equations on your own! Click on the website address below and graph the given linear equations on a graphing paper. Draw a separate coordinate system for each equation. http://www.flvs.net/products_services/2005_showcase_flvs/math/alg1/lessons/0 5_07c.htm How well did you do in the exercises? If you think you need to review some more on graphing linear equations, click on this website address: http://www.flvs.net/products_services/2005_showcase_flvs/math/alg1/lessons/0 5_07a.htm Page>> 1Page>> 1 2 3 4 5 6 7 9 10 11 1223467910 12

9. Going back to the map given by your teacher, can you now try to find the hometowns of Lito, Nelia, Lucy and Mitoy by graphing the linear equations on the map? Use a pencil in drawing the lines. After you have graphed the equations and you have determined the hometowns of the four friends, try this short QUIZ.QUIZ Page>> 1Page>> 1 2 3 4 5 6 7 8 10 11 12234671011 12

10. Page>> 1Page>> 1 2 3 4 5 6 7 8 9 11 122346791112 REFLECTIVE LOG 1. Whose hometown was easiest to find? Why? ___________________________________________________________________ ___________________________________________________________________ 2. Whose hometown was the most difficult to find? Why? ___________________________________________________________________ ___________________________________________________________________ 3. What steps did you have to do to find Mitoy’s hometown? Step 1:_____________________________________________________ Step 2: _____________________________________________________ Step 3:_____________________________________________________ Step 4:_____________________________________________________

11. Page>> 1Page>> 1 2 3 4 5 6 7 8 9 10 122346791012 SOLVING THE HOMETOWN PUZZLER Now that you are sure of your answers, graph the equations again on the map to show that you have indeed solved the puzzle. Use colored ink or crayons and label each line accordingly. This is your final output. (The rubrics for grading are on the next page)

12. Page>> 1Page>> 1 2 3 4 5 6 7 8 9 10 112346791011 Criteria for Grading Excellent 91 – 100 Very Good 85 - 88 Acceptable 75 - 82 Developing 70 - 72 Student’s Rating Teacher’s Rating Correctness of the graph 50% All four lines are plotted correctly. (47 – 50) Three lines are plotted correctly. (45 – 46) Two lines are plotted correctly. (42 – 44) Only one or none of the lines are plotted correctly. (40 – 41) Accuracy of the Lines 30 % All four lines very clearly pass through the black dots representing the hometowns. (27 – 30) Three lines very clearly pass through the black dots representing the hometowns. (25 – 26) Two lines very clearly pass through the black dots representing the hometowns. (22 – 24) Only one or none of the lines pass through the black dots representing the hometowns. (20 – 21) Neatness and Attractiveness 20% Exceptionally neat, and attractive. A different color is used for each line to show distinctiveness. A ruler was used in drawing the lines. (17 – 20) Neat and relatively attractive. A ruler and was used in drawing the lines. (15 – 16) Lines are neatly drawn but the graph appears quite plain. (11 – 14) Appears messy and looks like done in a hurry. Lines are visibly crooked. (10) Total Score: Total Score: