Math 10C Module 2 Lesson 5

Module 2: Roots and Powers

 

Lesson 5: Integral Exponents

 

Focus

 

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This lesson discusses exponents and how they are combined. You will find many applications of exponents in the real world. Exponents describe how populations grow, how automobiles depreciate in value over time, how investments compound, and how radioactive material decays, to name a few.

 

In this lesson you will review the exponent laws you learned in your previous math studies. The exponent laws are a great example of patterns. You will learn that the observation of patterns can lead to the discovery of other exponent laws. You will also use known exponent laws to come up with two new ones: the zero exponent law and the integral exponent law. In your project for this lesson you will examine the use of binary codes in the way computers operate. You will practise encrypting and decrypting using this code.

Outcomes

At the end of this lesson, you will be able to

  • explain, using patterns, why
  • apply the exponent laws to expressions with rational and variable bases and integral exponents, and explain the reasoning:
             

Lesson Questions
  • How are the properties of exponents used to evaluate and simplify algebraic expressions?
  • How can patterns be used to uncover mathematical truths?

Lesson Completion and Assessment

As you work through each lesson, complete all the questions and learning activities in your binder using paper and pencil, clearly labeling your work (they refer to this as your course folder). These include the Are you Ready, Try This, Share and Self Check questions. Check your work if answers are provided. Remember that these questions provide you with the practice and feedback that you need to successfully complete this course.
Once you have completed all of the learning activities, take the Lesson Quiz. This is the assessment for each lesson and is located under the Assess tab or by using the Quizzes link under the Activities block.


** Note – Share questions may have to be done on your own depending on your learning situation**