**EVALUATING EXPRESSIONS INVOLVING EXPONENTS**

DAY NUMBER | EXPRESSION IN TERMS OF NUMBER OF CELLS | NUMBER OF CELLS PRESENT |

1 | 2^{1} | 2 |

2 | 2^{2} | 4 |

3 | 2^{3} | 8 |

4 | 2^{4} | 16 |

5 | 2^{5} | 32 |

6 | 2^{6} | 64 |

7 | 2^{7} | 128 |

8 | 2^{8} | 256 |

9 | 2^{9} | 512 |

10 | 2^{10} | 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 2**

^{n}The letter n is called an exponent of base 2.**- In 2**

^{2}, what is the exponent? What is the base? In 2^{3}? 2^{4}? etc. What does the exponent indicate?**(It indicates the number of repeated multiplication)**

**- So, what does 2**

^{3}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. 6**

^{3}**2. 3**

^{8}**3. 10**

^{4}**4. 34**

^{2}**5. 7**

^{5}

*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 5**

^{3},______ is the base and_____ is the exponent.**2. 6**

^{2}is the exponent form of 6 x _____.**3. 144 is the _____ power of 12.**

**4. 2**

^{4 }means 2 multiplied by itself _____ times.**5. 74 means ____is multiplied by itself four times.**

*B. Give the value of the following.***1. 6**

^{3}= _____ 4. 9^{2 }= _______**2. 4**

^{5}= _____ 5. 7^{4}= _______**3. 2**

^{7 }= ______**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. 10**

^{2}= 10 x 10 = ______**5. 10**

^{3}= ____ x _____ x _____ = ______**Complete the Pattern.**

**3**

^{1}3^{2}3^{3}3^{4}3^{5}3^{6}3^{7}**3 9 27**

**___ ___ ___ ___**

**Interactive Math Module - Evaluating Expressions Involving Exponents (PowerpointPresentation)**

## No comments:

## Post a Comment