SEMI-DETAILED LESSON PLAN Module 5: Plane Coordinate Geometry Lesson 1: The Distance Formula By: SANIYA G. ABIRIN
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OBJECTIVES
1. Determine the distance formula. 2. Apply the distance formula to find the distance between any two points. 3. Appreciate the use of distance formula in solving real-life problems. II.
SUBJECT MATTER
Topic: Reference/s:
The Distance Formula Math 10 TG pages 207-211, Math 10 LM pages 235 http://www.ixl.com/math/geometry/distance-formula http://www.freelearningchannel.com/l/Content/Materials/Mathematics/Math_G rade_8/textbooks/CK12_Math_Grade_8/html/7/5.html Manila paper, marker, worksheets, grid, Wi-fi connection, wifi-capable laptop/smartphone/table, copy of the story of a Vegetable Garden, visual aids
Materials:
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PROCEDURE: A. Preparatory Activities 1. Settl Settl in g Down
Prepare the class by asking students to arrange their chairs and to pick up any piece of paper scattered on the floor; check room ventilation v entilation making sure that is set to body’s bod y’s normal temperature, and that classroom is free from any noise o r other disturbances. 2. Review/Drill
A. Post a grid and the following points on the board. Ask 4 volunteers v olunteers to plot the points using the grid. A(4,3) B(-2,5) C (0,2) D(3,4) B. Using a number line as shown below, ask 3 volunteers to find the length of each of the following segments.
5.
AB
6. BD
7. CD
Ask: How did you get the length? C. Unl ocking ocking Dif fi culties culties
Play the “Tanong Mo, Gets Ko” game. In In this game, a set of 5 questions will be flashed on the screen, and all students will be given an equal opportunity op portunity to guess the answer for every question. The correct answers will give students th e idea on what the topic is all about and the important terms associated with it. B. Developmental Activities 1. Presentation
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Group students into 5. Each group shall be composed of a leader, presenter, documenter and members. With a laptop connected to class wireless connection, ask each group to log on to http://www.ixl.com/math/geometry/distance-formula and
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https://braingenie.ck12.org/skills/106928 . But before beginning the activity, make sure that each group is provided with a KWL chart and ask them to fill-out the “Know” and “Want to Know” columns while leaving the “Learned” blank until they have finished performing the 20-minute activity. Each member of the group is given 1 minute to answer the activity and 1 minute to observe and process his work and the result of his work. Let a group representative present the final outpu t. Use a rubric to rate the presentation done.
2. Analysis/Discussion
Ask students the following questions: How did you find the activity? Did you have any difficulty while performing the activity? If yes, why? What have you realized from the activity?
3. Generalization
Show a video/presentation of the “Distance Formula” on the screen. Ask students to list down the highlights including the distance formula, sample problems and solutions then ask the following: - What is a distance formula? - What is the standard form of a distance formula? - How do you solve problems involving distance between two points? - How do you apply the concept in a real-life situation? 4. Application
Using the same group, flash on screen or hand in to students the story of The Vegetabl e Gar den.
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Ask each group to solve the problem and come up with a solution in 10 minutes and present it. Use a rubric for problem-solving. After the presentation, ask: -What insights can you draw from the story?
Evaluation A. Find the distance between the two points. 1. C (0,0) and D (5,2) 2. (5, 6) and ( – 12, 40)
B. Solve the problem below using the distance formula: 1. The teaching building of a school is mapped on a coordinate grid with the origin being at library. Math’s building is located at the point (1, 5) and History’s building is located at (4, 9). How far is it from Math’s building to History’s building? V.
Assignment The map below shows the location of various points in Helene’s town in Isabela City.
1. What is the distance, between the library and the school in Helene’s town? 2. On your journal notebook, write your learning experience while solving the problem.