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Exponents & Logs Starting with Log

Exponents & Logs Starting with Log. Non-dichotomous Multiple Choice. What do we know about 9^2? That it is the same as 81 That it is the same as 3^4 That its absolute value is bigger than 9^-7 That there could be a number where 5^number = 9^2. What do we know about 3^1.5?

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Exponents & Logs Starting with Log

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  1. Exponents & LogsStarting with Log

  2. Non-dichotomous Multiple Choice • What do we know about 9^2? • That it is the same as 81 • That it is the same as 3^4 • That its absolute value is bigger than 9^-7 • That there could be a number where 5^number = 9^2 • What do we know about 3^1.5? • That it is 3 times itself one and one-half times • That it has no real meaning • That 3^1.5 * 3^1.5 =‘s 3^3 or 27 • Is greater that 3^-7

  3. Hmm … Let’s see if we can find 3^? = 8 using a calculator (we know it will be between 3^1 and 3^2, why? Try 3^ ____ is ____ Try 3^ ____ is _____

  4. Using base 3, find the exponents for 3^? for two numbers that you choose See how close you can get? First Number 2ndNumber Now multiply these numbers If we write it as 3^__ * 3^___ then this Should be the same as 3^(__ + __) Try it… Start with same numbers but different base … repeat

  5. Hard way …. Guess and check This is what Log does What power do we raise the base to To get ____  Log ____ base Re-write your quests in terms of logs Try on calc Multiply by adding these results on calc Nice!

  6. http://generative.edb.utexas.edu/materials/exponents_stations/exponent_stations.htmlhttp://generative.edb.utexas.edu/materials/exponents_stations/exponent_stations.html Things that grow exponentially – Times 10 … Think of 1 during movie One growth but not exp Log of things that grow exponentially (are straight) Stations M&M’s etc. Table of Step Number Log (N) Is exp? How know? Get two different graphs (by changing ___) What is the proportion of Growth/Decay:? Report out …

  7. http://generative.edb.utexas.edu/materials/exponents_stations/exponent_stations.htmlhttp://generative.edb.utexas.edu/materials/exponents_stations/exponent_stations.html

  8. Before Disease … N^x (increasing or decreasing multiplicatively … not additively] >See next slide < Formative assessment [fill out table] – what do you think for each … then vote … then discuss or just play .. Exponential? Increasing Decreasing? Then connect to disease (exponential? Increasing decreasing? Where? Why? Then to

  9. More notes: Could have introduce and describe scenario and aske students if to fill out table. or other or other or other or other Prior to Disease Or for other groups to replace buzz bugs … or skittles…

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