LESSON PLAN.

Form : 4 Amanah

No. of student : 25 student

Date : 26 August 2011

Day : Thursday

Session : 2.00 – 3.20 p.m. (80 minutes)

Subject : Mathematic

Topic : Circles III

Sub topic : Tangents to a circle, angle between tangent and chord

Learning objectives:

Students will be taught to:

1. Understand and use the concept of tangents to a circle.

2. Understand and use the properties of angle between tangent and chord to solve problems.

3. Understand and use the properties of common tangent to solve problems.

Learning outcomes:

At the end of this session, students will be able to:

1. Identify tangents to a circle.

2. Make inference that the tangent to a circle is a straight line perpendicular to the radius

that passes through the contact point.

3. Construct the tangent to a circle passing through a point:

a) On the circumference of the circle,

b) Outside of the circle.

4. Determine the properties related to two tangents to a circle from a given point outside the

circle.

5. Solve problem involving tangents to a circle.

6. Identify the tangent in the alternate segment which is subtended by the chord through the

contact point of the tangent.

7. Verify the relationship between the angle form by the tangent and the chord with the

angle in the alternate segment which is subtended by the chord.

8. Perform calculation involving the angle in alternate segment.

9. Determine the number of common tangents which can be drawn to two circles which:

a) Intersect at two point,

b) Intersect only at one point,

c) Do not intersect.

10. Determine the properties related to the common tangent to two circles which:

a) Intersect at two point,

b) Intersect only at one point,

c) Do not intersect.

11. Solve problems involving common tangents to two circles.

12. Solve problems involving tangents and common tangents.

Teaching and learning approaches:

Constructivism learning.

Background knowledge:

1. Students have learnt the topics circle 1 and 2 in form 2 and 3.

2. Students have mastered the basic properties about circles.

3. Students have learnt the topic Pythagoras’ theorem.

KBKK:

1. Identifying

2. Generating and sharing ideas

3. Linking the new knowledge and existing knowledge.

4. A mental process.

5. Making the diagram.

6. Make inferences.

7. Find all possible solutions.

8. Compare and discriminate.

Noble values:

1. Cooperation and the spirit of teamwork in solving problems.

2. Persistence in solving related problems.

3. Grateful and appreciative friends.

4. Confidences and courage.

5. Responsible for the task given.

Teaching aids:

1. Question paper

2. White board.

3. Marker pen.

4. A4 paper.

5. Worksheet.

Activities / time ContentTeaching and learning activities.

Instructional media Generic skillsTeacher Students

Induction set:

Introduction

(5 minutes)

Introduction to the

topic.

1. The teacher asks

the student about

previous lesson.

2. The teacher

introduces topic

for today.

1. The students

answer the

teacher’s

questions.

2. The students

state the lesson

that they had

learnt in the

previous class.

3. The students

write down the

notes in their

notebooks.

1. Notebooks. KBKK

Identifying.

Multiple

intelligence

Interpersonal.

Intrapersonal.

Logical

mathematic.

Teaching tools

Constructivism.

Activity 1:

Instructional

development.

(15 minutes)

1. Introduce the

definition of

tangent to a

circle.

2. Construction of

a tangent to a

circle.

1. The teacher

distributes

worksheet for

students.

2. The teacher asks

the students to

identify the

1. The students take

the worksheet

given by the

teacher.

2. The students

identify which

are the tangents

1. Pen

2. worksheet

KBKK

Identifying.

Generating idea.

A mental

process.

Making the

diagram.

3. Identify the

properties

related to a

circle from a

given point

outside the

circle.

tangent to a

circle.

3. The teacher asks

the student to

draw tangent to a

circle.

4. The teacher asks

the student to

summarize about

the tangent to the

circle.

of the circle.

3. The students

draw the tangent

to the circle.

4. The students

summarize about

the tangent to the

circle.

Making

inferences.

Multiple

intelligence

Interpersonal.

Intrapersonal.

Logical

mathematic.

Teaching tools

Constructivism.

Activity 2:

Instructional

development.

(15 minutes)

1. Use the

properties of

tangent and

chord to solve

problem.

2. Identify the

angle in the

1. The teacher

explains the

properties of the

tangent and the

chord to the

circle.

2. The teacher

1. The students pay

attention to the

teacher’s

explanations.

2. The students

1. White board

2. Marker pen

3. A4

KBKK

Identifying.

Generating idea.

Making

inferences.

Multiple

alternate

segment.

divides the

students into

groups of 5.

3. The teacher

gives the

question to the

student and asks

them to answer

it.

4. The teacher asks

the student to

check their

answer with

other group.

5. The teacher

checks the

students answer.

move into the

group.

3. The students

answer the

questions.

4. The students

compare the

answer with

others group.

5. The students

show the answer

to the teacher.

intelligence

Interpersonal.

Intrapersonal.

Logical

mathematic.

Teaching tools

Constructivism.

Cooperative.

Activity 3:

Instructional

development.

(20 minit)

1. Construction of

a tangent to the

circles.

2. Discussion in

groups to

1. The teacher asks

the students to

stay in groups.

2. The teacher

distributes

1. The students stay

in groups.

2. The students

take the

1. Worksheets.

2. Pen.

3. White board.

4. Note books.

KBKK

Identifying.

Generating idea.

Find all possible

solution.

identify the

number of

tangent to two

circle and its

properties.

3. Solving problem

related to the

topic learn.

worksheet for

students.

3. The teacher asks

the students to

draw the tangent

and identify the

number of

common tangent

to two circles in

different cases.

4. The teacher asks

the student to

summarize about

the tangent to

two circles.

5. The teacher

gives question to

the students.

6. The teacher asks

the student to

answer it and

worksheet given

by the teacher.

3. The students

draw the

tangents to the

circles for

different cases

and determine

the number of

common

tangents.

4. The students

summarize about

the tangent to

two circles.

5. The students

answer the

questions.

6. The students

discuss the

answer with the

Compare and

discriminate.

Making

inferences.

Multiple

intelligence

Interpersonal.

Intrapersonal.

Logical

mathematic.

Teaching tools

Constructivism.

Cooperative.

discuss the

answer with the

student.

teacher.

Activity 4:

Evaluation.

(15 minutes)

1. Solving

problems.

1. The teacher asks

the students to

sit at their place.

2. The teacher

distributes the

question paper

to the student.

3. The teacher asks

the students to

answer it within

15 minutes.

1. The students sit

at their place.

2. The students take

the question

paper from the

teacher.

3. The students

answer the

question

individually.

1. Question paper. KBKK

Identifying.

A mental

process.

Making the

diagram.

Making

inferences.

Compare and

discriminate.

Multiple

intelligence

logical mathematic

Interpersonal.

Intrapersonal.

Teaching tools

Constructivism.

Closure:

Summary.

(10 minutes)

1. Summarization. 1. The teacher

takes in the

answer sheets

from the

students.

2. The teacher asks

students to

reflect on what

they have learnt.

3. The teachers

draw the concept

map.

1. The students

give the answer

sheets to the

teacher.

2. The students

reflect on what

they have learnt.

3. The students

copy the concept

map draw by the

teacher.

1. White board. KBKK

Generating

idea.

Multiple

intelligence

Interpersonal.

Intrapersonal.

Teaching tools

constructivism

Reflection: To be completed after teaching and learning process.