ARRUPE JESUIT COLLEGE
ABBI-OROGUN EXPRESS ROAD, ABBI.
LESSON PLAN FOR WEEK SIX
SECOND TERM, 2024/2025 ACADEMIC SESSION
PERIOD ONE
Class: JSS 2 Date: 10-06-2025
Subject: MATHEMATICS Average Age of Students: 11-12
Topic: TRIGONOMETRY Duration of Lesson: 80 minutes
A. BEHAVIOURAL OBJECTIVES (Cognitive, Affective and Psychomotor)
At the end of the lesson, students should be able to:
i. Describe the basic concepts of trigonometric ratios
ii. Calculate sine of angles using tables
B. INSTRUCTIONAL MATERIALS
Mathematical and scientific table
Worksheets with practice problems
Rulers and protractors
C. PREVIOUS KNOWLEDGE
The students are familiar with right-angled triangles.
CONTENT
1. Trigonometric Functions
2. Use of sine table
D. INTRODUCTION (This should be captivating and related to the topic)
The teacher introduces the lesson by briefly reviewing key concepts about right-angled
triangles (hypotenuse, opposite side, adjacent side).
E. PRESENTATION (Step by step exposition of the material)
Step 1: the teacher presents the lesson by describing Trigonometric functions, also known as
‘circular functions,’ are the ratio between any two sides of a right triangle: the opposite side, the
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adjacent side, and the hypotenuse with respect to a reference angle θ as shown below.
Step 2: the teacher uses a right-angled triangle diagram to explain:
Sin ϴ = opposite/hypotenuse
F. CONTEXTUALIZATION (of the material in a classroom situation)
The teacher tests the knowledge of the students by asking them to show how to use a
mathematical table to find the sine of given angles.
G. STUDENTS’ ENGAGEMENT IN THE LESSON
The teacher distributes worksheet and encourages discussion and mutual assistance among
the students.
H. REVIEW (by teacher and students of familiar material)
The teacher accesses the students’ knowledge in the class by giving them quick problems
to solve.
The teacher then collects their worksheet to assess understanding.
I. EVALUATION QUESTIONS (in three learning domains – cognitive, affective and
psychomotor)
In the triangle shown below, find the value of x, accurate to three decimal places.
The sine ratio is “opposite over hypotenuse”, so I can turn what they’ve given me into an
equation:
1. CONCLUSION
Trigonometric Functions:
Trigonometric functions, also known as ‘circular functions,’ are the ratio between any two sides
of a right triangle: the opposite side, the adjacent side, and the hypotenuse with respect to a
reference angle θ as shown below.
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sin (θ) = opposite / hypotenuse
cos(θ) = adjacent / hypotenuse
tan (θ) = adjacent/opposite
ARRUPE JESUIT COLLEGE
ABBI-OROGUN EXPRESS ROAD, ABBI.
LESSON PLAN FOR WEEK SIX
SECOND TERM, 2024/2025 ACADEMIC SESSION
PERIOD TWO
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Class: JSS 2 Date: 11-06-2025
Subject: MATHEMATICS Average Age of Students: 11-12
Topic: TRIGONOMETRY Duration of Lesson: 80 minutes
Sub-topic: cosine and tangent of angles
J. BEHAVIOURAL OBJECTIVES (Cognitive, Affective and Psychomotor)
At the end of the lesson, students should be able to:
i. Calculate the cosine of angles using mathematical table
ii. Calculate the tangent of angles using mathematical table
K. INSTRUCTIONAL MATERIALS
Mathematical and scientific table
Worksheets with practice problems
Rulers and protractors
L. PREVIOUS KNOWLEDGE
The students are familiar with the use of mathematical table to find the sine of angles.
CONTENT
1. Using cosine table
2. Using tangent table
M. INTRODUCTION (This should be captivating and related to the topic)
The teacher introduces the lesson by sines of angles and the use of the mathematical table.
N. PRESENTATION (Step by step exposition of the material)
Step 1: The teacher uses a right-angled triangle diagram with the aid of mathematical table to
explain that:
Cos ϴ = adjacent/hypotenuse
Step 2: The teacher uses a right-angled triangle diagram with the aid of mathematical table to
explain that:
tan ϴ = opposite/adjacent
step 3: the teacher guides the students on how to calculate cosines and tangents of angles.
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O. CONTEXTUALIZATION (of the material in a classroom situation)
The teacher tests the knowledge of the students by making them work through the first
few problems as a class.
P. STUDENTS’ ENGAGEMENT IN THE LESSON
The teacher engages the students by having students pair up to solve a set of trigonometric
problems.
Q. REVIEW (by teacher and students of familiar material)
The teacher accesses the students’ knowledge in the class by evaluating their classwork to
ensure understanding and correct use of mathematical table.
R. EVALUATION QUESTIONS (in three learning domains – cognitive, affective and
psychomotor)
For the triangle shown, find the value of y, accurate to four decimal places.
They’ve given me an angle, a value for “adjacent”, and a variable for “opposite”, so I can form an
equation:
2. CONCLUSION
Using sine and cosine tables
angle A sin A cos A
300 0.5000 0.8660
350 0.5736 0.8192
400 0.6428 0.7660
450 0.7071 0.7071
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500 0.7660 0.6428
550 0.8192 0.5736
600 0.8660 0.5000
In the cosine table, as angles increase from 00 to 900, their cosine decrease from 0 to 1.
ARRUPE JESUIT COLLEGE
ABBI-OROGUN EXPRESS ROAD, ABBI.
LESSON PLAN FOR WEEK SIX
SECOND TERM, 2024/2025 ACADEMIC SESSION
PERIOD THREE
Class: JSS 2 Date: 12-06-2025
Subject: MATHEMATICS Average Age of Students: 11-12
Topic: TRIGONOMETRY Duration of Lesson: 40 minutes
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Sub-topic: Right Angles
S. BEHAVIOURAL OBJECTIVES (Cognitive, Affective and Psychomotor)
At the end of the lesson, students should be able to:
i. Apply trigonometric ratios to solve problems involving right-angled triangles.
ii. Derive the tangent from trigonometric functions
T. INSTRUCTIONAL MATERIALS
Mathematical and scientific table
Worksheets with practice problems
Rulers and protractors
U. PREVIOUS KNOWLEDGE
The students are familiar with using mathematical table to find sine, cosine and tangent of angles
CONTENT
1. Solving right-angled triangles
2. Tangent of an angle
V. INTRODUCTION (This should be captivating and related to the topic)
Teacher introduces the lesson by reviewing the use of mathematical table to find angles.
W. PRESENTATION (Step by step exposition of the material)
Step 1: The teacher explains that to solve a triangle means to know all three sides and all three
angles. When we know the ratios of the sides, we use the method of similar figures.
Step 2: The teacher solves example questions such as: Given an acute angle and one side. Solve
the right triangle ABC if angle A is 36°, and side c is 10 cm.
Step 3: The teacher states that the tangent ratio is one of the trigonometric ratios for right-angled
triangles. It is the ratio of the opposite side to the adjacent side concerning an angle. And the
formula is given as:
Opposite side
Tan θ=
Adjacent side
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X. CONTEXTUALIZATION (of the material in a classroom situation)
The teacher tests the knowledge of the students by asking them to show how to use a
right-angle to find tangent given angles.
Y. STUDENTS’ ENGAGEMENT IN THE LESSON
The teacher asks the students to work independently on additional problems.
Z. REVIEW (by teacher and students of familiar material)
The teacher checks that the students understands the lesson by checking the problems
given to them and highlighting common mistakes and tips for avoiding them.
AA. EVALUATION QUESTIONS (in three learning domains – cognitive, affective
and psychomotor)
In the given right triangle PQR, find the tangent ratio of ∠P and ∠R
Find the value of x in the given right triangle.
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Given an acute angle and one side. Solve the right triangle ABC if angle A is 36°, and side c is
10 cm.
Solve the triangle for side b.
3. CONCLUSION
Solving right-angled triangles:
To solve a triangle means to know all three sides and all three angles. When we know the ratios
of the sides, we use the method of similar figures. That is the method to use when solving
an isosceles right triangle or a 30°-60°-90° triangle.
Tangent of an angle:
The tangent ratio is one of the trigonometric ratios for right-angled triangles. It is the ratio of the
opposite side to the adjacent side concerning an angle.
Formula
Consider a right triangle ABC, where AC is the hypotenuse and AB and BC are the other two
sides of a right triangle. Thus, for any angle θ in a right triangle,
Opposite side
Tan θ=
Adjacent side
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ARRUPE JESUIT COLLEGE
ABBI-OROGUN EXPRESS ROAD, ABBI.
LESSON PLAN FOR WEEK SIX
SECOND TERM, 2024/2025 ACADEMIC SESSION
PERIOD FOUR
Class: JSS 2 Date: 13-06-2025
Subject: MATHEMATICS Average Age of Students: 11-12
Topic: TRIGONOMETRY Duration of Lesson: 40 minutes
Sub-topic: Tangent ratio
BB. BEHAVIOURAL OBJECTIVES (Cognitive, Affective and Psychomotor)
At the end of the lesson, students should be able to:
i. Derive the tangent ratio from the other trigonometric functions
ii. Solve problems involving tangents of an angle from the tangent ratio
CC. INSTRUCTIONAL MATERIALS
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1. Tangent of an angle
2. Tangent ratio
DD. PREVIOUS KNOWLEDGE
The students are familiar with right-angled triangles (hypotenuse, opposite side, adjacent side).
CONTENT
Tangent ratio
EE. INTRODUCTION (This should be captivating and related to the topic)
Teacher introduces the lesson by reviewing the three primary trigonometric ratios: Sine
(sin), Cosine (cos), and Tangent (tan).
FF. PRESENTATION (Step by step exposition of the material)
Opposite side
Step 1: The teacher explains tangent ratio as: Tan θ=
Adjacent side
BC AB
Precisely, tan A= and tan C =
AB BC
Step 2: The teacher solves examples on the board such as:
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find the tangent ratios for all three triangles.
For example, tan 45° = 1 (for all sizes)
GG. CONTEXTUALIZATION (of the material in a classroom situation)
The teacher demonstrates with specific tangent angle values (30°, 45°, 60°) in the
classroom.
HH. STUDENTS’ ENGAGEMENT IN THE LESSON
The teacher ensures students pair up to solve a set of tangent ratio problems.
II. REVIEW (by teacher and students of familiar material)
The teacher gives students problems to solve.
The teacher collects the students notes to assess their understanding.
JJ. EVALUATION QUESTIONS (in three learning domains – cognitive, affective and
psychomotor)
1. Find the angle with a tangent ratio of 0.4877
2. Find the angle with a tangent ratio of 0.9325
4. CONCLUSION
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The tangent ratio is one of the trigonometric ratios for right-angled triangles. It is the ratio of the
opposite side to the adjacent side concerning an angle.
Formula
Consider a right triangle ABC, where AC is the hypotenuse and AB and BC are the other two
sides of a right triangle. Thus, for any angle θ in a right triangle,
Opposite side
Tan θ=
Adjacent side
BC AB
Precisely, tan A= and tan C =
AB BC
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