Republic of the Philippines
Department of Education
Quarter:
Week:
MELCs:
Day
1
Monday
Grade 11
STEM
(7:30 –
8:30)
REGION III-CENTRAL LUZON
SCHOOLS DIVISION OF ZAMBALES
LIPAY NATIONAL HIGH SCHOOL
POBLACION SOUTH, STA. CRUZ, ZAMBALES
WEEKLY LEARNING PLAN
Grade Level:
Third Quarter
Grade 11
Learning Area:
Week 8 (April 18 – 22, 2022)
Basic Calculus
The learners solve situational problems involving related rates (STEM_BC11D-IIIj-2)
Objectives
Topic/s
Understand
the concept
and know
how to solve
related rates
problems
Related
Rates
Classroom-Based Activities
Begin with classroom routine:
a. Prayer
b. Reminder of the classroom health and safety protocols
c. Checking of attendance
d. Quick “kumustahan”
Elicit
Show a video of a balloon being inflated
Engage
Ask the students:
If the rate of air going inside the balloon is 200 ml per second, how fast is the surface area of the balloon
expanding?
Use question above as springboard to jump to the topic.
Explore
Discuss “Related Rates”
Related rates – refer to the ratio of two or more quantities which are closely related or affiliated to each
other. Often these related quantities vary with respect to time.
Explain
Solve some examples on the board
Elaborate
Guided problem solving:
Present the procedures but let the students solve problems
1. Read and understand the problem carefully.
Lipay National High School
Poblacion South, Sta. Cruz, Zambales
301034@deped.gov.ph
Home-Based
Activities
Ask the students to
do the following:
1. Review:
Answer
What I Know
(pp. 2-4)
2. Discussion:
Read
Related
Rates
Problems
(pp. 5-12)
3
Wednesday
Grade 11
STEM
(7:30 –
8:30)
Solve
related rates
problems
Related
Rates
2. Identify and write down all given quantities and quantities to be determined.
3. Make a sketch or draw a diagram based on the given word problem whenever necessary.
4. Write a mathematical relation or equation that relates all variables concerned including its rate of
change.
5. Apply implicit differentiation on the chosen equation.
6. Substitute all given quantities in the equation.
7. Solve for the required rate of change. Use algebraic manipulation whenever necessary.
Begin with classroom routine:
a. Prayer
b. Reminder of the classroom health and safety protocols
c. Checking of attendance
d. Quick “kumustahan”
Evaluate
Short quiz:
Solve the following problems. Write complete solution.
1. Two variables 𝑎 and 𝑏 are both differentiable functions of 𝑡 and are related by the equation 𝑏 =
𝑑𝑎
𝑑𝑏
2𝑎2 − 5. Given that = 5, Find = 5 when 𝑎 = 3
𝑑𝑡
𝑑𝑡
𝑑𝑦
2. Imagine that a point is moving along the graph 𝑦 = 5𝑥 2 + 3𝑥. The horizontal rate of change is =
𝑑𝑥
𝑑𝑦
3 𝑐𝑚⁄𝑠. Find its when 𝑥 = −2.
𝑑𝑡
Extend
Assignment:
Solve the problem below. Write the complete solution.
A vertical liquid storage tank shaped like a cone has a radius of 8 m at the top and 22 m high. If liquid flows
into the storage tank at a rate of 18 m³/s, how fast is the depth of the liquid increasing when the liquid is 14
m deep?
5
Friday
Ask the students to
do the following:
1. Practice:
Answer
Assessment
(pp. 13-16)
2. Assessment:
Answer
Week 8
Summative
Test
Module
distribution
and retrieval
Prepared by:
JERIEL C. RANCHEZ
Subject Teacher
Reviewed by:
MARIAN M. PRONTON
Head Teacher III
Reviewed by:
JOEL L. MONTEVIRGEN
Head Teacher III
Approved:
MARICHU C. GUZMAN EdD
Principal IV