## Wednesday, March 7, 2012

### Math Module - Evaluating Expressions Involving Exponents

EVALUATING EXPRESSIONS INVOLVING EXPONENTS

 DAY NUMBER EXPRESSION IN TERMS OF NUMBER OF CELLS NUMBER OF CELLS PRESENT 1 21 2 2 22 4 3 23 8 4 24 16 5 25 32 6 26 64 7 27 128 8 28 256 9 29 512 10 210 1024
Table
- In general, if N is the number of days the cancer cells has been present, then the expression for the number of calls present during the nth day is 2n The letter n is called an exponent of base 2.
- In 22, what is the exponent? What is the base? In 23? 24? etc. What does the exponent indicate?
(It indicates the number of repeated multiplication)
- So, what does 23 mean?
(it means 2 x 2 x 2)
- How is it read? ("two to the third power" or "two with the exponent three") Give some more examples.
- What does the exponent tell us? What is base?

2. Fixing Skills
Let us have 3 learning stations. Do the activity in each learning station by group. Once you have finished an activity, go to the next station and do the activity indicated there. Do the activities as fast as you can.

Learning Station 1
Write the number using an exponent then answer.
1. 7x7x7=
2. 8x8x8x8x8x8=
3. 6x6x6x6=
4. Two to the seventh power
5. Six with the exponent nine

Learning Station 2
Write the factored form then answer.
1. 63
2. 38
3. 104
4. 342
5. 75
Learning Station 3
Fill in the blanks with the correct exponent form, then answer.
1. 16 = 4 x 4 = ______ = ______
16 = 2 x 2 x 2 x 2 = ______ = ______
2. 81 = 9 x 9 = _____ = ______
81 = 3 x 3 x 3 x 3 = _____ = ______
3. 100 = 10 x 10 = ______ = _______
100 = 2 x 5 x 2 x 5 = _________ = _______
4. 125 = 5 x 5 x 5 = ______ = _______
5. 144 = 12 x 12 = _______ = _______
144 = 3 x 4 x 3 x 4 = ________ = _______

Generalization
The exponent tells the number of times the base is used as a factor. The base is the number used as the factor. The equation is the mathematical statement that two numbers or expressions are equal.

Application
Based on tables 1, 2, and 3, how many cancer cells have grown on the fifteenth day?

Evaluation
A. Formative Test
Directions: Complete the following sentences.
1. In 53,______ is the base and_____ is the exponent.
2. 62 is the exponent form of 6 x _____.
3. 144 is the _____ power of 12.
4. 24 means 2 multiplied by itself _____ times.
5. 74 means ____is multiplied by itself four times.

B. Give the value of the following.
1. 63 = _____               4. 92 = _______
2. 45 = _____               5. 74 = _______
3. 27 = ______

V. Assignment
Fill in the blanks.
1. 9 = 3 x 3 = 3-
2. 16 = ____ x _____ = _____2
3. 8 = 2 x 2 x 2 = 2-
4. 102 = 10 x 10 = ______
5. 103 = ____ x _____ x _____ = ______
Complete the Pattern.

31         32         33         34         35         36         37
3          9          27        ___      ___      ___      ___

Interactive Math Module - Evaluating Expressions Involving Exponents (PowerpointPresentation)

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