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Advanced Functions MHF4U

Advanced Functions MHF4U. Logarithm Laws and Exponent Laws. By: Greg Leverton and Girthiga Gunarajah. Goals and Expectations. By the end of the lesson students will be able to Laws of exponents and laws of logarithm How are laws of exponents are related to the laws of logarithms

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Advanced Functions MHF4U

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  1. Advanced Functions MHF4U Logarithm Laws and Exponent Laws By: Greg Leverton and Girthiga Gunarajah

  2. Goals and Expectations • By the end of the lesson students will be able to • Laws of exponents and laws of logarithm • How are laws of exponents are related to the laws of logarithms • How to use the laws to simplify expressions • Prior Knowledge • What exponents are and how to solve them • What logarithms are and how to solve them • What the graphs of exponential and logarithmic functions look like • The laws of exponents

  3. Agenda • Review • Activity 1 • Energizer • Activity 2 • Wrap-up

  4. Bell Work • Write down the laws of exponents that was previously learned • Product • Quotient • Exponent

  5. Minds-On • Logarithm Applet • Students will work on slide 3

  6. Teaching Plan - Overview • Activity 1 • Investigating the Laws of Logarithms • Energizer • Zip, Zap, Zop • Activity 2 • Find the Connection

  7. Activity 1 – Investigating the Laws • The purpose of this activity is to introduce the laws they know for exponents (product, quotient and exponent) to logarithms • Using the Logarithms Applet students will investigate the three logarithm laws • Within their table groups they will discuss the laws and write down the laws into their math notebooks • Quick Consolidation: One member from the table group will come up and write down the law requested

  8. Energizer • Zip, Zap, Zop • A quick break between the two activities that will “wake up” the students • Refer to lesson plan for complete instructions

  9. Activity 2 – Find the Connection The purpose of this activity is for students to understand the relationship between the previously learned exponent laws and the logarithm laws Using the worksheet, as a table group, students will work through the worksheet trying to derive the exponent law from the logarithm law they just discovered

  10. Consolidation • Students will come up to the SmartBoard and write out the steps for the derivations they just completed for the product and quotient law • Pose the question, so what is the connection between the exponent laws and the logarithm laws? • Ticket out the door • Write down at least one law that you learned today? • What questions do you still have?

  11. Optional Home Activity • Challenge Problem • Derive the power law for exponents from the power law for logarithms • Hint: Refer back to Activity 2 – Worksheet

  12. Questions?

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