School: ABC Secondary School

Teacher: Ng Wai Man

Date: 12/11/2019

Time: 1:00 – 1:45 pm

Class: Secondary Four

Subject: Mathematics

Topic: Graphs of Exponential Functions and Logarithmic Functions

Integral

Rational

Indices

Indices

Logarithmic

Functions

Exponential

Graphs of

Definition of

Properties of

Logarithmic

Graphs of

Exponential

Equations

Logarithms

Logarithms

Equations

Logarithmic

Functions

Functions

Time

Content

Details

Remarks

1.

Set

2 min

Recalling the

The teacher will ask students to

(Revision)

graph of

pair up the functions and their

(1) The teacher will use

exponential

graph in page 1 of the worksheet.

projector to show the

functions and

graph on the whiteboard.

logarithmic

(2) Students will be asked to

functions

write down the

corresponding functions

next to the graph.

2 min

Telling the goal of

The teacher will draw three types

(Motivation)

the lesson

of graph on the board:

(1) The teacher will ask

1.

Four exponential functions,

student how to compare those

2.

Four logarithmic functions,

graphs before going to the

and

next step.

3.  An exponential function and a

logarithmic function:

(a) a > 1,

(b) 0 < a < 1.

Then teacher will tell student the

goad of the lesson is to compare

those graphs.

2.

Development

8 min

Comparing the

4 Students will be formed as a

Materials:

graphs of

group and asked to follow the

1.  iPad (with Geogebra) X 6

8 min

Compare the

4 Students will be formed as a

graphs of

group and asked to follow the

logarithmic

steps and answer the questions in

functions (

The goal of students in this

) in

different

part is:

=

value & a

(1) find out the relationship

between the graph of

=   &

and

=   +

,

*

(2) compare the graph of

exponential functions

(

=

) in different value

&

a.

A group of the student will share

their conclusion to classmate and

then teacher will point out the

short summary in this page.

7 min

Doing exercise

Students will be asked to finish the

8 min

Finding out the

4 Students will be formed as a

relationship

group and asked to follow the

between the

steps and answer the questions in

graphs of

The goal of students in this

exponential

part is to find out the relationship

functions and

between the graph of

)

and

logarithmic

=

the student

A group of  =

functions

will share & their conclusion to

classmate and then teacher will

point out the short summary in this

page.

1.  Closure

2 min

Conclusion

The teacher will conclude the

following points:

(1) the relationship between the

graph of y = a x and

= & ( ) ,

(2) the change of the graph of

exponential functions ( y = a x )

in different value a ,

(3) the relationship between the

graph of

=   +

=   &

and

,

*

(4) the change of the graph of

exponential functions

a ,

=   &

) in different value

(