INTERDISCIPLINARY CONTEXTUALIZATION (ICon) and
INQUIRY-BASED LESSON PLAN IN MATHEMATICS
Teacher’s Name:
Rubelyn R. Gabica
Grade Level/Subject:
G9 – Math
Topic/Title:
Joint Variation
Time Allotment:
Date:
1 hour
Nov. 8, 2021
Standards, Competencies, and Objectives
The learners demonstrates understanding of key concepts of
CONTENT STANDARD:
variation and radicals.
PERFORMANCE
STANDARD:
The learner is able to formulate and solve accurately problems
involving radicals.
LEARNING
COMPETENCY:
Demonstrate understanding of the key concepts of variations and
radicals.
CODE:
OBJECTIVES:
1. Illustrate situations that involve joint variation.;
2. Translate into variation statement a relationship between two
quantities given by a mathematical equation;
3. Solve problems involving joint variation.; and
4. Value the importance of unity.
ELICIT (5 minutes)
WHICH IS WHICH?
*The teacher will flash certain situations involving variations and students will
identify whether it is a Direct or Inverse variation as a form of
review.
MATERIALS
Powerpoint Presentation
Situations:
The area of the wall (A) to the amount of paint used to cover it (P).
The age of a used car (A) to its resale value (R).
The distance an airplane flies (D) to the time travelling (T).
The time spent walking (T) to the rate at which the person walks (R).
ENGAGE ( 10 minutes)
*See the relationship between Direct and Inverse Variation having only 2 variables.
*Present Joint Variations having 3 or more variables.
EXPLORE (10 minutes)
The teacher asks the students to:
 Define Joint Variation.
 Give examples on word problems and translate the statement to
Variation/Mathematical statement.
EXPLAIN (5 minutes)
VCF Worksheet
Variation Statement
CHART
Constant of Variation (k)
Final Answer
Word Problem questions:
1. If a varies jointly as b and c, and a = 30 when b = 5 and c = 3, find a when b = 6
and c = 8.
2. The area (A) of a triangle varies jointly as its base (b) and height (h). If its base is 8
inches and height is 7 inches, it has an area of 28 square inches. Find the base if its
height is 5 inches and its area is 16 square inches.
ELABORATE (10 minutes)
*The teacher discusses the importance of joining a particular variables to create a whole
new answer and the value of Unity.
EXTEND (15 minutes)
YOU COMPLETE ME!
*The class is divided into 8 groups
Directions: Complete the table by translating into variation statement a relationship between
two quantities given by a mathematical equation and vice versa.
Variation Statement
y varies jointly as the
square of x and y
Mathematical Statement
x = kyz
Square root of a varies
jointly as b and cube of c
c = kzy2
C varies jointly as d and
the square root of e
EVALUATE ( 5 minutes)
Directions: Solve problems involving joint Variations. Write your answers on a ½ sheet of
paper.
1. The volume of a pyramid (V) varies jointly as its height (h) and the area of its base (b). A
pyramid with a height 12 feet and a base with area of 23 square feet has a volume of 92
cubic feet. Find the volume of a pyramid with a height of 17 feet and a base with an area of
27 square feet.
2. If a varies jointly as b and the square root of c, and a = 21when b = 5 and c = 36, find a
when b = 9 and c = 225.
3. Kinetic energy (K) varies jointly as the mass (m) and the square of the velocity (v2). A
mass of 8 grams and a velocity of 5 cm/s has a kinetic energy of 100 ergs. Find the kinetic
energy for a mass of 6 grams and a velocity of 9 cm/s.
Assignment (optional)
COMBINE VARIATIONS (Study in advance).
References
1. Oronce, A. E, Mendoza, O. M.., e-math Worktext in Mathematics book pages 222224. REX Book Store, 856 Nicanor Reyes, Sr. St. Manila, Philippines
2. Internet.
CHART