Lessons 1–2 Self Assessment 1

For each statement, rate your understanding according to the continuum, and then provide evidence for your rating.

	I understand and can do it accurately.	I understand most of the time, but I’m still working on it.	I don’t understand this yet.
I can find the exact value of a logarithmic expression when the argument of the logarithm is a power of the base.
Evidence Rating
I can estimate the value of a logarithmic expression when an exact value can’t be found.
Evidence Rating
I can recognize and use the properties of logarithms: $\log_{b} b = 1$ $\log_{b} 1 = 0$ $\log_{b} b^{n} = n$
Evidence Rating
I can graph logarithmic functions in the form: $f (x) = a + b \log_{m} x$
Evidence Rating

Next steps

My plan for mastering this content is…

For each statement, rate your understanding according to the continuum, and then provide evidence for your rating.

	I understand and can do it accurately.	I understand most of the time, but I’m still working on it.	I don’t understand this yet.
I can understand and know the properties of logarithms: $\log_{b} m n = \log_{b} m + \log_{b} n$ $\log_{b} \frac{m}{n} = \log_{b} m - \log_{b} n$ $\log_{b} m^{n} = n \log_{b} m$
Evidence Rating
I can use the properties of logarithms to find equivalent expressions.
Evidence Rating
I can use base $10$ (common) logarithms to solve exponential equations.
Evidence Rating
I can solve logarithmic equations in base $10$ .
Evidence Rating

My plan for mastering this content is…

For each statement, rate your understanding according to the continuum, and then provide evidence for your rating.

	I understand and can do it accurately.	I understand most of the time, but I’m still working on it.	I don’t understand this yet.
I can understand compound interest, including the continuous compound interest formula.
Evidence Rating
I can understand how different factors (the interest rate, the number of compounding periods per year, or the number of years invested) affect the amount earned from compound interest.
Evidence Rating
I can identify features of the function $f (x) = e^{x}$
Evidence Rating
I can model continuous growth and decay using base $e$ exponential functions.
Evidence Rating
I can solve exponential equations using common logarithms (base $10$ ) and natural logarithms (base $e$ ).
Evidence Rating

My plan for mastering this content is…