Division of City Schools Quezon City Batasan Hills National High School

Lesson Plan in Grade 9 Science

Date: February 9, 2015 (Aluminum, Yttrium, Chlorine); February 10, 2015 (Chromium, Barium)Unit 3: Force, Motion, and Energy Subunit 1: Forces and MotionLesson No. 9

I. Targets: Given the necessary materials, at least 75% of the students should be able to:1. analyze and solve problems on the motion of a projectile launched at an angle from the horizontal . II. Learning Task:A. Topic: Projectile Motion Projection at an Angle from the Horizontal 2Subtopic: Kinematics Equations on Projectile Motion

B. Concepts:Real-world problems on the motion of a projectile launched at an angle from the horizontal are solved using a special set of kinematics equations. Each equation ultimately quantifies a particular parameter of projectile motion, both its horizontal and vertical components, provided that other relevant parameters are identified. These kinematics equations establish the relationships between and among the quantities displacement, velocity, and time.

C. Skills: Analyzing and solving word problems on the motion of a projectile launched at an angle from the horizontal using relevant mathematical equations Manipulating mathematical variables, deriving equations for projectile motion

D. Interdisciplinary Integration: Mathematics students manipulate variables algebraically and use equations to solve projectile motion problems

E. Materials Needed: Recall: golf ball, chalkboard Lesson Proper: chalkboard, problem set on projectile motion Generalization: chalkboard Evaluation: completed students outputs (worked solutions of the problem set) F. References:Padua, A.L. & R.M. Crisostomo. 2003. Practical and Explorational Physics : Modular Approach. p. 59

Santos, SP & RC Martin. 2006. Science Impact: Physics. pp. 45-46http://www.physicsclassroom.com/class/vectors/Lesson-2/Horizontally-Launched-Projectiles-Problem-SolvingIII. Teaching Strategies:A. Daily Routine: opening prayer, classroom cleanliness and attendance checking

B. Recall: Recall the conceptual background on the motion of a projectile launched at an angle from the horizontal, focusing on:a. constant horizontal velocity;b. changing vertical velocity through the parabolic trajectory;c. maximum height reached;d. ranged covered; ande. time of flight. Verify further students understanding and/or misconceptions by asking them to cite other real-life examples of projectiles launched at an angle from the horizontal.

C. Lesson Proper: Pre-Activity1. Introduce and give the general instructions in performing the activity to the class.Activity Proper: 1. Introduce the kinematics equations for the motion of a projectile launched at 0 from the horizontal to the class. Horizontal MotionVertical Motion

(initial horizontal velocity)

(horizontal velocity)

(initial vertical velocity)

(maximum height)

(time to rise)

(total time of flight)

(magnitude of resultant velocity)

(direction of resultant velocity)

2. Describe briefly each variable in the equations by referring to the following figure.

3. Discuss briefly each of the following sample problems on projectile motion.Sample Problems:(1) A soccer ball is kicked at ground level with a speed of 20 m/s at an angle of 45 to the horizontal. How much later does it hit the ground?(2) A long jumper leaves the ground with an initial velocity of 12.0 m/s at an angle of 28 above the horizontal. Determine the (a) time of flight, (b) horizontal distance/range covered, and the (c) peak height of the longjumper.

4. Ask the students to solve the following problems.

Problem Set:

(1) The acceleration due to gravity on the moon is 1.67 m/s2. Suppose a football player kicks a football with an initial velocity of 20.0 m/s at 37 above the horizontal, (a) what maximum height will the football reach? (b) how far will the football land?

(2) A stone is launched from the ground into the air at an angle of 38 toward the vertical brick wall that is 15.0 m horizontally away from the launch point. If the stone takes 1.3 s to collide with the wall, with what speed was the stone launched?

Post-ActivityDiscuss the analyses and solutions of students to each of the seatwork problems given.IV. Generalization: Summarize the key points covered in the lesson, focusing on the (1) strategy in solving projectile motion problems and (2) choice of the appropriate kinematics equation(s).

V. Evaluation To be based on students activity outputs (worked solutions of the problem set/seatwork)Prepared by: Lizardo, Raquel E. Grade 9 Science Teacher, BHNHS

Checked by: Checked by:

Mrs. Remedios P. Danao Dr. Violeta M. TupazHead Teacher VI, Science Dept. Education Supervisor I, Science