Logarithmic Unit Todos

[flannery-denny]

Logarithms1

• Add a worksheet for students to sketch and talk about their "best guess" graph of wealth v. health
• Add some prose to explain what per-capita gdp actually is!
• When students take a look at the countries dataset, ask them to make sense of "interesting" points like Japan, Equatorial New Guinea, etc.

Logarithms2

• Have students open the covid dataset and graph days v. positive. Would be great to have a workbook page to support them in making connections between the shape of THAT graph and the countries dataset

Logarithms3

• Have students open the covid data in Desmos, and transform the y-axis by switching to logarithmic scale, to see how a log "undoes" an exponent. Then ask them how they could do the same here, if the y-axis isn't growing exponentially at all
• Would be great to graph some logarithmically increasing points on the x-axis in Desmos, and have a workbook page that supports them in focusing on just how points in one dimension suddenly appear linear when viewed on an numberline with exponential intervals.
• The above worksheet is THE place to drive home how exponents and logs are inverses of each other. Nailing this will seriously help the scale-changing of the scatterplot that follows.