I. Competencies
The learners will be able to:
a. illustrates angles of elevation;
b. solve problems that involve angles of elevation and
c. recognizes situations that involve angles of elevation.
II. Objectives
Through learning stations and collaboration the grade 9 students with at least 85 % accuracy are expected to do the following:
a. apply the trigonometric ratios to solve trigonometric problems involving angle of elevation;
b. use the angles of elevation to solve real life problems and
c. measure and illustrate the angle of elevation using a clinometers.
III. Subject Matter
A. Topic: Angle of Elevation
B. Pre-requisite: The Six Trigonometric Ratios and Solving Right Triangles
C. Skills to develop: Critical Thinking and Manipulative Skills
D. Values Integration: Patience and Tolerance
E. Instructional materials:
E.1. Non-Conventional:
Calculator
E.2. Conventional:
Cartolina, Manila Paper, clinometers, meter stick or tape measure, chalk
F. References:
F.1. Local Authors:
Garces, Arnold V., et. al., 2014, Simplified Mathematics 9, St. Augustine Publications, Inc., 1624-1626 Espana Cor. Don Quijote St. Sampaloc, Manila Philippines, pg. 264-273.
Magsombol, Abigail T., et.al., 2014, Global Mathematics 9, The Library Publishing House Inc., Future Point Plaza 3, No. 111 Panay Avenue, Quezon City, pg. 303-310.
Nocon, Rizaldi, et. al., 2014, Math for Engaged Learning, Sibs Publishing House Inc., Quezon City, pg. 319-329.
F.2. Foreign Authors:
Hall, Bettye C., et al., 1993, Algebra 2 with Trigonometry, Pearson Education South Asia Pte Ltd, 23-25 First Lok Yang Road, Jurong Singapore 629733, pg. 767-771.
Leithold, Louis, 2002, College Algebra and Trigonometry, Pearson Education Asia Pte Ltd.,
Asia Pte Ltd., 23-25 First Lok Yang Road Singapore 629733, pg. 360-364.
Stewart,James et. al., 2007, Algebra and Trigonometry, Thomson Learning Asia, 5 Shenton Way #01-01 UIC Building Singapore 068808, pg. 461-467.
F.3. Internet Sources:
Solve Problems Using Trigonometric Ratios, February 01, 2015,
http://northern.lkdsb.net/shawke/mbf3c/unit%201/ffcm11_se_ch01_sec1_2.pdf
NCCTM, 2007, Angles of Elevation and Depression, February 01,2015,
http://users.wfu.edu/mccoy/outdoor/
The Fallen 44
https://www.scribd.com/document/354533178/FALLEN-44
G. Strategy/ Method: Student-Teams-Achievement Divisions (STAD)
IV. Procedure
A. Present a new Concept
A news article “The Fallen 44” together with the information about “Rifleman’s Rule” will be given as an opener of the session.
MANILA - Filipinos observed on Friday a National Day of Mourning for the "Fallen 44" police commandos who died in an anti-terrorist mission in Mamasapano, Maguindanao on Jan. 25.But a single day is not enough to honor them - as the flood of eulogies, messages of gratitude and love, flowers outside police camps, and Twitter verse exploding with grief and anger, would show. Islands from the country's farthest north to its deepest south was mourning as well, as these gallant members of the PNP Special Action Force are brought home to their final resting places.
Truly, these people who died because of a gunshot though they will be buried in places strewn across the archipelago, the Fallen 44 will also rest in one home: the Filipino heart.
Most of the military men use rifles as their weapon against terrorist. Did you know that they have what they called “Rifleman’s Rule”? Rifleman's rule is a "rule of thumb" that allows a rifleman to accurately fire a rifle that has been calibrated for horizontal targets at uphill or downhill targets. The rule provides an equivalent horizontal range setting for engaging a target at a known elevated distance from the rifle (called the slant range). There is a device that is mounted on the rifle called a sight. While there are many forms of rifle sight, they all permit the rifleman to set the angle between the bore of the rifle and the line of sight (LOS) to the target. Using the rifleman’s rule it will allow military men to accurately hit the target when aiming to an elevated target.
So, if we are going to illustrate then it goes like this,
In mathematics there are also some real life problems aside from using a gun in aiming a target that involve an inclination of angle. So today will do more about the angles of elevation.
B. Form Teams for Study and Practice
Students will be in triad for their study and practice. Handouts will be distributed after they had formed small circles within their group. In the handouts, angle of elevation problem will be introduced, with examples and also practice exercises that will serve as their foundation for the activity.
