Haunted House Worksheet
Author Identified Grade/Course Mathematical Concepts of Focus Angelia Bartgis Geometry, Algebra I, Algebra II, Algebra III 1.) Finding coordinates on a graph 2.) Using coordinates to find midpoints, distance, and slope 3.) Using a graph and slopes to determine if lines are parallel or perpendicular 4.) Using coordinates and slopes to write the equation of a line in slope-intercept form Algebra I 2.2c*, 2.2d; Geometry 3.2; Algebra II 2.2 This lesson is designed as a review for the topics listed above. The students are given a worksheet asking the students to find the coordinates, the midpoints, the distance, the slope and the equations of lines from a graphed haunted house. Conclusion or review Two worksheets (see attached at the end of the lesson) and a pencil Use the Haunted House to answer the following problems. A.) Find the coordinates of the following points. B.) Using the picture and your coordinates, find the MIDPOINT of each segment. C.) Using the picture and your coordinates, find the DISTANCE of each segment. Round to the nearest tenth D.) Using the picture and your coordinates, find the SLOPE of each segment. Reduce your fractions. E.) Using part D, determine which segments from #25 to #30 are parallel or perpendicular. F.) Using the picture, your coordinates, and your slope, find the EQUATION of the line that contains each segment. Write in slope—y-intercept form (You will need to find the y-intercept first.) I ask these orally to begin a discussion after the students have completed the worksheet. 1.) How did finding the coordinates in section A help you find the midpoints, distances, and slopes? 2.) What kind of line segment was BU ? FB ? How did this help in finding each distance? 3.) How did you know which lines were parallel in section D? 4.) How did you know which lines were perpendicular in section D? 5.) How did you know if the slope was negative (positive) by looking at the graph? 6.) What did you notice about the slope of BU ? FB ? 7.) Why are the slopes of BU and FB different (instead of the same)?
PASS Objectives Lesson Summary
Placement within Unit Materials Needed Problem Situation (for students)
Questions for Students
Sample Solutions
8.) When finding the y-intercept in part F, how could you find it using the graph? 1.) Having the coordinates listed saved time because you do not have to look at the graph each time if you are using equations to find midpoint, distance, and slope. 2.) BU is a horizontal line and FB is a vertical line. Hence you can count the number of units between them instead of using the distance equation. 3.) You can look at the lines in the graph or you can compare their slopes. If the slopes are the same, then they are parallel. 4.) You can look at the lines in the graph or you can compare their slopes. If the slopes are the negative reciprocals of each other, then they are perpendicular. 5.) If the line was falling from left to right, then the slope is negative; otherwise, if it was rising from left to right, then it is positive. 6.) The slope of BU is 0 and the slope of FB is undefined. 7.) If you use the slope formula, then the slope of 3!3 0 BU = = = 0 because the zero is on top of the 17 !(!2) 19 3 !(!26) 29 = = undefined because the division whereas FB = !2 !(!2) 0 zero is on the bottom of the division. 8.) You can extend the lines until you see where it crosses the yaxis. 1.) When writing a coordinate point, which position is the x-value located? The y-value located? 2.) What is the midpoint formula? 3.) What is the distance equation? 4.) What is the slope formula? 5.) How do you tell if two lines are parallel or perpendicular by looking at their slopes? 6.) What the slope-intercept form of a line? 7.) How do you find the y-intercept when you have the slope and a point on a line? 8.) What is standard form of a line? 1.) How could using a graph help you in designing a house? 2.) How could you use the slope of lines to determine if the house you are designing has right angles in the correct locations? 3.) Describe the equation if the window with the cobweb is a circle instead of a square. 4.) Describe the equation if the door is a parabola instead of a square. This worksheet could be used around any holiday by changing the theme of it. You could have the students draw the house by giving them coordinates, midpoints, distances, slopes, etc. You could turn this into a board game. For example, the first person through the haunted woods to the house is the winner. The same questions asked on the worksheet could be on individual cards that the students have to answer to determine how many spaces to move, etc.
Scaffolding (Supporting) Questions
Extension Questions
Other Information
Algebra III Haunted House Worksheet Name:___________________Date:________HW# Use the Haunted House to answer the following problems. A.) Find the coordinates of the following points. 1.) C (_______,_______) 4.) Z (_______,_______) 7.) U (_______,_______) 10.) B (_______,_______) 2.) A (_______,_______) 5.) X (_______,_______) 8.) O (_______,_______) 11.) Q (_______,_______)
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3.) T (_______,_______) 6.) W (_______,_______) 9.) P (_______,_______) 12.) F (_______,_______)
B.) Using the picture and your coordinates, find the MIDPOINT of each segment. 13.) CA (_______,_______) 14.) QX (_______,_______) 15.) OU (_______,_______) 16.) FB (_______,_______) 17.) CZ (_______,_______) 18.) WP (_______,_______) C.) Using the picture and your coordinates, find the DISTANCE of each segment. Round to the nearest tenth 19.) CA ______________ 22.) FB ______________ 20.) BU ______________ 23.) TZ ______________ 21.) CZ ______________ 24.) WP ______________
D.) Using the picture and your coordinates, find the SLOPE of each segment. Reduce your fractions. 25.) CA ______________ 28.) FB ______________ 26.) BU ______________ 29.) TZ ______________ 27.) CZ ______________ 30.) WP ______________
E.) Using part D, determine which segments from #25 to #30 are parallel or perpendicular. 31.) parallel ___________________________________________________________________ 32.) perpendicular ______________________________________________________________ F.) Using the picture, your coordinates, and your slope, find the EQUATION of the line that contains each segment. Write in slope—y-intercept form (You will need to find the y-intercept first.) 33.) CA ___________________ 36.) FB ____________________ 34.) BU __________________ 35.) CZ __________________
37.) TZ ___________________ 38.) WP ___________________