This document provides details of a mathematics lesson on direct variation that was taught to a Form 3 class. It includes the topic, sub-topic, objectives, prior related knowledge, teaching/learning activities, materials, and evaluation for the lesson. The lesson objectives were for students to write direct variation in symbols and solve problems involving direct variation. The teaching activities included explaining direct variation using examples, expressing it with symbols, and guiding practice in solving related problems. Key points about direct variation being when quantities increase proportionally were also provided.

1. REFERENCES
Quaye and Sackitey (2016) Core Mathematics for Senior High School
• Student’s book 2, pages 119-146
• Teachers’ Guide, pages 265-274 CLASS: Form 3 5th WEEK ENDING: 11-03-2022
DAY/DATE
DURATION
TOPIC
SUB-TOPIC
OBJECTIVES
RPK
TEACHING/LEARNING ACTIVITIES
TEACHING/LEARNING MATERIALS
CORE POINTS EVALUATION
REMARKS
DURATION
120 minutes
DATE
8-03-2022
DAY
Monday
TOPIC
Variation
SUB-TOPIC
Direct Variation
OBJECTIVE
By the end of the les-
son, the student will
be able to:
a. 2.5.1 Write
direct variation
in symbols for
given propor-
tional relation
b. 2.5.2 Solve
problems in-
volving direct
variation.
RPK
a. Learners can
solve linear
equations.
b. Learners can
change the
subject of a
relation.
TLMs
Graphs of direct variation, Calculators
PRE-PRESENTATION
Discuss direct variation using real life situations. Let
students identify real life experiences that are direct
variation.
PRESENTATION
Explain key words that indicate direct variation.
Use the graph of direct variation for learners to
describe the nature of the direct variation.
Guide Learners to express direct variation in symbols
or Mathematical relations.
Lead learners step by step how to solve direct
variation problems.
Give learners problems to practice.
POST PRESENTATION
Learners identify real life experiences that are direct
variation.
Give exercise and assignment.
Provide remediation if there is the need to.
Direct Variation
Quantities involve,
increase in one leads
to increase in the
other quantity.
Ratio of correspond-
ing quantities =
constant.
𝑦 varies directly
as 𝑥, ⇒ 𝑦 ∝ 𝑥 or
𝑦
𝑥 = 𝑘, where 𝑘 is a
constant.
Also,
𝑦1
𝑥1
=
𝑦2
𝑥2
,
where 𝑥1,𝑦1,𝑥2 𝑎𝑛𝑑 𝑦2
are the values of
corresponding values
in the problem or
question.
Answer the questions below:
1. 𝑦 varies directly as 𝑥.
When 𝑦 = 2
3, 𝑥 = 2. Find
𝑥 when 𝑦 = 6
2. The area of a circle varies
directly as the square of
it radius. With area is
154𝑐𝑚2, the radius is 7𝑐𝑚.
Find the area when the ra-
dius is 3.5𝑐𝑚2.
EXPECTED ANSWERS
1. 𝑦 ∝ 𝑥, 𝑦 = 𝑘𝑥
𝑘 = 1
3, 𝑥 = 18
2. 𝐴 ∝ 𝑟2, 𝐴 = 𝑘𝑟2
𝑘 = 22/7, 𝐴 = 22
7 𝑟2
𝐴 = 38.5𝑐𝑚2