Open Middle®
Directions: Using the integers 0 to 9, fill in the red and blue boxes so that the chart is accurate. You can only use a number once per red box and once per blue box. (Logs are in base 10)
Hint
What mathematical equation can be produced from a logarithm? How does that relate to the size of a logarithm?
How can you rewrite the log of a product, quotient, or power?
How can you rewrite the log of a product, quotient, or power?
Answer
There are many possible solutions. One example would be:
One thing to watch is the use of 0, many students will not recognize that Log 0 is undefined
Source: Bryan Anderson
Another thing to look out for is how students interpret logx^y.
A question I had from my students was, “Do we represent log7^7 as log(7^7) or log(7)^7?”
A really great question and talking point!
Laws of Logarithms
Great idea right before a holiday or for a sub day.
What mathematical equation can be produced from a logarithm? How does that relate to the size of a logarithm?