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I. OBJECTIVEAt the end of the lesson, at least 75% of the students should attain 75% proficiency level in:a. Defining exponential function.

b. Identifying whether a given function is exponential or not.c. Relating exponential function in real life situation.

II. SUBJECT MATTERAdvanced Algebra IVa. Topic: Introduction to Exponential Function

b. References:- Worktext in Mathematics for Fourth Year High School by Marilyn O. Mendoza- Advanced Algebra: A Functional Approach by Julieta C. Bernabe

c. Materials:- Manila papers- Tape- Activity sheets- Large piece of paper

III. PROCEDURE Exposition and Discoverya. Preparatory Activities

1. Daily routine2. Checking of assignment3. Drill

Evaluate:

a. 23= 8b. 32= 9c. 82= 64d. 152= 225e. 122 = 144f. 62= 36

4. ReviewFind the geometric equation for the following sequences:a. 3, 9, 27, 81 = 31, 32, 33, 34

b. 4, 16, 64, 256 = 41, 42, 43, 44c. 5, 25, 125, 625 = 51, 52, 53, 54

b. Developmental Activities1. Motivation Brain Teaser

Every person has 2 biological parents. Each parent has 2 parents, so every person has

4 grandparents. Each grandparent has 2 parents, so every person has 8 great

grandparents. How many great-great grandparents does every person have?

2. Presentation of the lessonTell the students that the activity will be working by pair.

Disseminate the activity sheets including the materials.The activity is good for 10 minutes.

Activity #1: Modeling of an Exponential Function Paper Folding

3. DiscussionLet the students discuss the results of their activity.

Time Frame: 1 hour

Level: Fourth Year

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4. Practice ExerciseDetermine whether each defines an exponential function or not.a. y = 2x exponential

b. y = -2x notc. y = 3x exponentiald. y = 3-x exponentiale. y = 12x not

5. GeneralizationEncourage the students to cite some examples where exponential function applied.

IV. EVALUATIONDetermine whether each defines an exponential function or not.1. y = 4.1x2. y = 4-x3. y = x34.

2x-25. 7x+2

V. ASSIGNMENTWrite an essay about how the concept of exponential function helps the living of the people.

Prepared by:Carlito A. DoringoBSE Math, PLMar

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ACTIVITY 1: Modeling of an Exponential Function Paper Folding

Name: _______________________________________ Section: _________________________

Material: large piece of paper

Procedure:

1. Fold a large rectangular piece of paper in half. Unfold it and record how many sections are formed by the creases. Refold thepaper.

2. Fold the paper in half again. Record how many sections are formed by the creases. Refold the paper.3. Continue folding in half and recording the number of sections until you can no longer fold the paper.4. How many folds can you make?5. How many sections were formed?6. Make a table of values describing the relation between x and y. Let x be the number of folds and y be the number of sections

made.

X 0 1 2 3 4 5 6 7 8

Y

Guide Questions:

1. Can you predict the number of sections if you fold it for the 7th time? 8th time? 9th time?2. What is the relation between the number of folds and the number of sections made?3. Look at the elements of the range (y), what kind of sequence is formed?4. What is the common ratio?5. What equation will describe the table?6. What equation will describe the next table?

X 0 1 2 3 4

Y 1 3 9 27 81

7. Based on the two equations and tables, express the relation between x and y in a sentence (equation).---------------------------------------------------------------------------------------------------------------------------------------------------

ACTIVITY 1: Modeling of an Exponential Function Paper Folding

Name: _______________________________________ Section: _________________________Material: large piece of paper

Procedure:1. Fold a large rectangular piece of paper in half. Unfold it and record how many sections are formed by the creases. Refold the

paper.

2. Fold the paper in half again. Record how many sections are formed by the creases. Refold the paper.3. Continue folding in half and recording the number of sections until you can no longer fold the paper.4. How many folds can you make?5. How many sections were formed?6. Make a table of values describing the relation between x and y. Let x be the number of folds and y be the number of sections

made.

X 0 1 2 3 4 5 6 7 8

Y

Guide Questions:

1. Can you predict the number of sections if you fold it for the 7th time? 8th time? 9th time?2. What is the relation between the number of folds and the number of sections made?3. Look at the elements of the range (y), what kind of sequence is formed?4. What is the common ratio?5. What equation will describe the table?6. What equation will describe the next table?

X 0 1 2 3 4

Y 1 3 9 27 81

7. Based on the two equations and tables, express the relation between x and y in a sentence (equation).