Comprehensive Weekly Lesson Plan on Cartesian Plane Transformations for Grade 10

Comprehensive Weekly Lesson Plan on Cartesian Plane Transformations for Grade 10

• 1.
  Republic of thePhilippines Department of Education REGION VII–CENTRAL VISAYAS DIVISION OF CEBU PROVINCE BATERIA NATIONAL HIGH SCHOOL WEEKLY LESSON PLAN Name of Lesson Position of Points and Geometric Transformations in the Cartesian Plane (Week 3) Learning Area/s Mathematics 10 Designed by Teacher/s Leizl B. Pepito Designed for which Grade Level and Section Grade 10 St. Paul St. John No. of Sessions Session 1 Session 2 Session 3 Session 4 References DepEd Mathematics 9 Learner's Material, Geometry Textbook for Grade 10, Local Map of Davao del Sur, MATATAG Curriculum Guide. Declaration of AI use AI was utilized to format the lesson plan and generate evidence-based instructional scaffolding. Intentions. Meaningful learning experiences are anchored in how we frame them. Start by deciding what you want learners to master by the end of the lesson - keep it clear and
• 2.
  simple. Standards and Competency: Content Standard:The learners demonstrate an understanding of translations, reflections, and rotations in the Cartesian plane. Performance Standard: The learners should be able to describe translations, reflections, and rotations in the Cartesian plane. Learning Competency: Describe the position of points in the Cartesian plane. Describe translations, reflections, and rotations in the Cartesian plane using coordinates. Learning Objectives: 1. Knowledge: Identify the coordinates and quadrants of points in the Cartesian plane using local landmarks. 2. Skills: Plot specific points accurately on a coordinate grid. 3. Attitudes: Recognize the importance of precision in locating places within the community. 1. Knowledge: Define translation as a slide and identify the movement along the x and y axes. 2. Skills: Determine the new coordinates of a point after a given translation (x+h, y+k). 3. Attitudes: Display patience when shifting geometric figures step-by-step. 1. Knowledge: Describe the rules of reflection across the x-axis and y-axis. 2. Skills: Graph the reflected image of a point or shape using coordinate rules. 3. Attitudes: Appreciate the beauty of symmetry in natural local landscapes like Mt. Apo's reflection. 1. Knowledge: Identify the coordinate rules for rotations of 90° and 180° about the origin. 2. Skills: Perform rotations of points and describe the change in their orientation. 3. Attitudes: Collaborate with classmates to solve problems involving spatial orientation. Learner Context: Learners in Grade 10 St. Paul and St. John are at the "Approaching Proficiency" level. They can identify basic points but struggle with multi-step transformations and abstract coordinate rules. They respond well to visual aids and local examples from Davao Region (e.g., markets, landmarks). Learning Experience. A learning experience is like a thoughtfully designed journey. Each activity and interaction builds towards meaningful understanding and growth. Pre-Lesson: Engage: Show a map of Davao del Sur with a grid overlay. Ask: "If the Municipal Hall is at (0,0), where is our school located?" [Connection] Engage: Use a toy car on a grid. Move it 3 units right and 2 units up. Ask: "How did the position change?" [Context] Engage: Show a picture of a Durian fruit reflected on a mirror. Ask: "What stays the same and what changes in the reflection?" [Connection] Engage: Use a clock face. Move the hand from 12 to 3. Ask: "What kind of movement is this?" [Context]
• 3.
  Flow: Overarching Strategy(4Is): Inclusive - Using local geography ensures all students can relate to the abstract grid. Explore: Students plot "hidden treasures" located at specific coordinates on a Davao map grid. [Collaboration] Experience: Teacher explains Quadrants I-IV, x-axis (abscissa), and y-axis (ordinate). Guided practice plotting points: A(2, 3), B(-4, 1). Empathize: Discuss why emergency responders need exact coordinates to find locations in Davao del Sur. [Context] Overarching Strategy (4Is): Ideational - Developing the concept of "sliding" without changing shape. Explore: "Market Stall Move": A vendor moves a stall 4 units left and 3 units down. Students find the new coordinates. [Creativity] Experience: Introduce the rule (x, y) → (x + h, y + k). If a point is at (1, 2) and moves 3 units right, it becomes (1+3, 2) = (4, 2). Empathize: Reflect on how "moving" or "leveling up" in life requires specific directions and steps. Overarching Strategy (4Is): Integrative - Linking geometry with the science of light and local scenery. Explore: Students fold a paper with a wet ink point across the "y- axis" (the fold) to see where the mark lands. [Collaboration] Experience: Rules: Over x-axis: (x, y) → (x, -y). Over y-axis: (x, y) → (-x, y). Use local landmarks as examples. Empathize: Discuss how self- reflection is like a geometric reflection—looking at ourselves from a different perspective. [Connection] Overarching Strategy (4Is): Innovative - Using physical movement to understand angular changes. Explore: Students stand and "rotate" their bodies 90° clockwise and 180°. Relate this to points on a grid. [Collaboration] Experience: Introduce 90° Clockwise: (x, y) → (y, -x) and 180°: (x, y) → (-x, -y). Practice with simple points like (2, 5). Empathize: Talk about "turning your life around" (180° change) and how mathematical rotations represent change. [Creativity] Learning Resources: Graph paper, Ruler, Map of Davao del Sur grid. Grid boards, colored markers, translation activity sheets. Hand mirrors, Patty paper (tracing paper), ink pads. Protractors, cardboard "spinners," rotation rule charts. Opportunities for integration: Araling Panlipunan (Geography of Davao). Physical Education (Movement and Directions). Science (Optics and Light Reflection). Arts (Mandala designs and Vinta patterns). Assessment. Assessments reveal what learners have gained and what they still need help with. Formative Assessment: 1. In which quadrant is the point (- 5, 2)? 2. What is the coordinate of the origin? 1. Translate the point (2, 3) 4 units to the right. What is the new point? 2. A point (x, y) is translated 5 1. Reflect the point (4, 5) across the x-axis. 2. Reflect the point (-3, 2) across the y-axis. 1. Rotate the point (1, 2) 180° about the origin. 2. What are the new coordinates of (3, -1) after a 90° clockwise
• 4.
  3. Identify thex-coordinate (abscissa) in the point (7, -3). 4. Plot the point C(0, -4). On which axis does it lie? 5. A landmark is at (3, 4). How many units is it from the y-axis? Key: 1. QII, 2. (0,0), 3. 7, 4. y-axis, 5. 3 units. units down. Write the new coordinate expression. 3. Point A(-1, 4) is moved 2 units left and 1 unit up. What are the new coordinates? 4. If (3, 2) becomes (6, 2), what was the translation? 5. Translate (0, 0) by (x+3, y-4). Key: 1. (6,3), 2. (x, y-5), 3. (-3, 5), 4. 3 units right, 5. (3, -4). 3. What is the image of (0, 6) when reflected across the x-axis? 4. If a point is in Q1, where will its reflection across the y-axis be? 5. A point (a, b) reflected across the x-axis becomes (a, -b). True or False? Key: 1. (4, -5), 2. (3, 2), 3. (0, -6), 4. QII, 5. True. rotation? 3. A point (x, y) becomes (-x, -y). What rotation occurred? 4. Rotate (0, 5) 180° about the origin. 5. If (2, 0) is rotated 90° clockwise, where is the new point? Key: 1. (-1, -2), 2. (-1, -3), 3. 180°, 4. (0, -5), 5. (0, -2). Ways Forward. Meaningful learning can also happen beyond the classroom. Extended learning opportunities: Identify 5 objects at home and describe their "coordinates" relative to the front door (0,0). Draw a simple map of your bedroom and "translate" your bed 2 feet to the left. Take a photo of a symmetrical object in your barangay and draw the axis of reflection. Observe a ceiling fan. Draw the position of one blade after a 90° and 180° turn. Reflections: Did the local map help students understand quadrants better? Were students able to distinguish between horizontal and vertical shifts? Which axis of reflection was harder for the students to visualize? Did the physical movement help in understanding 90° vs 180°? Prepared by: LEIZL B. PEPITO Teacher III Inspected by: AUBREY M. DIAZ School Caretaker