Ng Wai Man's Lesson Plan
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Lesson Plan
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School: ABC Secondary School |
Teacher: Ng Wai Man |
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Date: 12/11/2019 |
Time: 1:00 – 1:45 pm |
Class: Secondary Four |
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Subject: Mathematics |
Topic: Graphs of Exponential Functions and Logarithmic Functions |
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Learning Prerequisites:
(a) Laws of Indices:
(i) Integral Indices
(ii) Rational Indices
(b) Exponential Functions:
(i) Exponential Equations
(c) Logarithmic Functions:
(i) Definition of Logarithms
(ii) Properties of Logarithms
(iii) Logarithmic Equations
(d) Graphs of Exponential Functions and Logarithmic Functions
Behavioral Objective:
Students will be able to
(a) Compare the graphs of exponential functions ( y = a x ) and logarithmic functions ( = & ) in different value a , and
(b) find out the relationship between the graphs of exponential functions and logarithmic functions.
Task Analysis:
Laws of
Indices
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Integral |
Rational |
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Indices |
Indices |
Exponential
Functions
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Logarithmic |
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Functions |
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Exponential |
Graphs of |
Definition of |
Properties of |
Logarithmic |
Graphs of |
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Exponential |
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Equations |
Logarithms |
Logarithms |
Equations |
Logarithmic |
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Functions |
Functions |
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Teaching Strategies:
Student are required to compare the graph of exponential functions ( y = a x ) and logarithmic functions ( = & It is easy to let student to find out how does the graph of those function change when the value of a So, student will try to use 0.1, 0.2, 2 and 10 as the values of a to finish the task.
Therefore, week students can be help from students with high ability in the lesson, especially the class activity.
Presenta tion
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Time |
Content |
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Details |
Remarks |
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1. |
Set |
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2 min |
Recalling the |
The teacher will ask students to |
(Revision) |
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graph of |
pair up the functions and their |
(1) The teacher will use |
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exponential |
graph in page 1 of the worksheet. |
projector to show the |
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functions and |
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graph on the whiteboard. |
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logarithmic |
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(2) Students will be asked to |
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functions |
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write down the |
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corresponding functions |
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next to the graph. |
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2 min |
Telling the goal of |
The teacher will draw three types |
(Motivation) |
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the lesson |
of graph on the board: |
(1) The teacher will ask |
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1. |
Four exponential functions, |
student how to compare those |
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2. |
Four logarithmic functions, |
graphs before going to the |
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and |
next step. |
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3. An exponential function and a |
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logarithmic function: |
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(a) a > 1, |
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(b) 0 < a < 1. |
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Then teacher will tell student the |
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goad of the lesson is to compare |
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those graphs. |
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2. |
Development |
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8 min |
Comparing the |
4 Students will be formed as a |
Materials: |
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graphs of |
group and asked to follow the |
1. iPad (with Geogebra) X 6 |
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exponential functions ( y = a x ) in different value a
The goal of students in this part is:
(1) find out the relationship
between the graph of
y
=
a
x
and
=
&
(
)
,
(1 iPad per a group)
(1) The group who need to present will use airplay to show their work (Geogebra) on the board and share their idea to classmate.
(2) compare the graph of exponential functions ( y = a x ) 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.
8 min Doing exercise Students will be asked to finish the exercise in page 3 of the worksheet.
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8 min |
Compare the |
4 Students will be formed as a |
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graphs of |
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group and asked to follow the |
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logarithmic |
steps and answer the questions in |
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functions ( |
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The goal of students in this |
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) in |
different |
part is: |
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= |
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value & a |
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(1) find out the relationship |
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between the graph of |
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= & |
and |
= + |
, |
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* |
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(2) compare the graph of |
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exponential functions |
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( |
= |
) in different value |
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& |
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a. |
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A group of the student will share |
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their conclusion to classmate and |
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then teacher will point out the |
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short summary in this page. |
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7 min |
Doing exercise |
Students will be asked to finish the |
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(1) Teacher will ask two students to finish Ex.2 and Ex.3 on the board respectively.
(2) Teacher will show the question on the board.
(1) The group who need to present will use airplay to show their work (Geogebra) on the board and share their idea to classmate.
(1) Teacher will ask two
exercise in page 5 of the worksheet.
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8 min |
Finding out the |
4 Students will be formed as a |
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relationship |
group and asked to follow the |
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between the |
steps and answer the questions in |
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graphs of |
The goal of students in this |
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exponential |
part is to find out the relationship |
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functions and |
between the graph of |
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and |
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logarithmic |
= |
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the student |
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A group of = |
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functions |
will share & their conclusion to |
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classmate and then teacher will |
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point out the short summary in this |
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page. |
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1. Closure |
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2 min |
Conclusion |
The teacher will conclude the |
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following points: |
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(1) the relationship between the |
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graph of y = a x and |
= & ( ) , |
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(2) the change of the graph of |
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exponential functions ( y = a x ) |
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in different value a , |
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(3) the relationship between the |
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graph of |
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= + |
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= & |
and |
, |
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* |
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(4) the change of the graph of |
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exponential functions |
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a , |
= & |
) in different value |
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( |
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(5) the relationship between the graphs of exponential functions and logarithmic functions.
At the end of lesson, students will
students to finish Ex.4 and Ex.5 on the board respectively.
(2) Teacher will show the question on the board.
(1) The group who need to present will use airplay to show their work (Geogebra) on the board and share their idea to classmate.
be asked to finish Ex.6 as homework.
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