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HOMETOWN PUZZLER

HOMETOWN PUZZLER. Page>> 2 3 4 5 6 7 8 9 10 11 12. 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,

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HOMETOWN PUZZLER

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  1. HOMETOWN PUZZLER Page>> 2 345 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>> 13456789101112

  3. Plot an ordered pair satisfying the equation and connect this point with the origin to create a line. Express the equation in slope-intercept form and use the slope and the y-intercept to graph the line. Graphing linear equations in the coordinate system Make a table of ordered pairs satisfying the equation and use these 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 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>> 1245 6789101112

  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? __________________________________________________________________________ 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?__________________________________________________________________________ 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? __________________________________________________________________________ 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>> 1235 6789101112

  5. 2x + y = 6 x = 3 LESSON 1: To learn about graphing linear equations, click on the website below: ACTIVITY 1 Fill in the T-Chart of the following equations with at least three ordered pairs. http://www.purplemath.com/modules/graphlin.htm After learning from this website, answer the activity on the right. Page>> 12346789101112

  6. ACTIVITY 2 Carefully analyze the two equations below then answer the following questions. LESSON 2: To learn more about graphing linear equations, click on the website below: • 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? ____ http://www.math.com/school/subject2/lessons/S2U4L3GL.html After learning from this website, answer the activity on the right. 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>> 12345789101112

  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>> 12345689101112

  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/05_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/05_07a.htm Page>> 123456791011 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. Page>> 12345678101112

  10. 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:_____________________________________________________ Page>> 1234567891112

  11. 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) Page>> 1234567891012

  12. Page>> 1234567891011

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