 Full Summaries Sorted

# Ng Wai Man's Lesson Plan

Lesson Plan

 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

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 = ax) and logarithmic functions ( y = logax ) in different value a, and

(b) find out the relationship between the graphs of exponential functions and logarithmic functions. Teaching Strategies:

The students in the class are not most outstanding ones, but they are able to solve the mathematics question with medium difficulty. Student are required to compare the graph of exponential functions (y = ax) and logarithmic functions ( y = logax ) by using Geogebra. It is easy to let student to find out how does the graph of those function change when the value of a changes. Also, student are easy to understand and remember those properties of the graph by observing and finding out it by themselves than teacher’s direct explanation. So, student will try to use 0.1, 0.2, 2 and 10 as the values of a to finish the task.

Moreover, there are still learning difference between students in the class. Each group will include students with difference abilities. Therefore, week students can be help from students with high ability in the lesson, especially the class activity.

Presentation

 Time Content Details Remarks 2 mins Recalling the graph of exponential functions and logarithmic functions The teacher will ask students to pair up the functions and their graph in page 1 of the worksheet. (Revision) (1) The teacher will use projector to show the graph on the whiteboard. (2) Students will be asked to write down the corresponding functions next to the graph. 2 mins Telling the goal of the lesson The teacher will draw three types of graph on the board: 1.Four exponential functions, 2.Four logarithmic functions, and 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. (Motivation) (1) The teacher will ask student how to compare those graphs before going to the next step. 8 min Comparing the graphs of exponential functions (y = ax) in different value a 4 Students will be formed as a group and asked to follow the steps and answer the questions in page 2. The goal of students in this part is: A group of the student will share their conclusion to classmate and then teacher will point out the short summary in this page. Materials: 1. iPad (with Geogebra) X 6 (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. 8 min Doing exercise Students will be asked to finish the exercise in page 3 of the worksheet. (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. 8 min Compare the graphs of logarithmic functions (y = logax) (1)The group who need to present will use airplay to show their work (Geogebra) on the board and share their idea to classmate. 7 min Doing exercise Students will be asked to finish the exercise in page 5 of the worksheet. (1) Teacher will ask two students to finish Ex.4 and Ex.5 on the board respectively. (2)Teacher will show the question on the board. 8 min Finding out the relationship between the graphs of exponential functions and logarithmic functions 4 Students will be formed as a group and asked to follow the steps and answer the questions in page 4. The goal of students in this part is to find out the relationship between the graph of y = ax and y = logax. A group of the student will share their conclusion to classmate and then teacher will point out the short summary in this page. (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 min Conclusion The teacher will conclude the following points: At the end of lesson, students will be asked to finish Ex.6 as homework.

DMU Timestamp: November 27, 2019 01:26

Image
change display
Video
• Click icons on the left to see existing comments.
Logging in, please wait... 