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Montclair Public Schools CCSS Algebra 2 Honors Unit 3: Marshall ...

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F.BF.1<br />

interest rate if the annual rate is 15%.<br />

Write a function that describes a relationship<br />

between two quantities. Combine standard<br />

function types using arithmetic operations. For<br />

example, build a function that models the<br />

temperature of a cooling body by adding a<br />

constant function to a decaying exponential,<br />

and relate these functions to the model.<br />

7<br />

8<br />

courses) as well as compounding interest models<br />

(relating to finance and economics courses).<br />

Compare exponential and linear growth rates and<br />

determine during which intervals exponential growth<br />

may be slower than that of linear growth.<br />

Construct a function that combines standard function<br />

types using arithmetic operations to model a<br />

relationship between two quantities.<br />

3<br />

4<br />

F.LE.4<br />

For exponential models, express as a logarithm<br />

the solution to ab^c = d, where a, c, and d are<br />

numbers and the base b is 2, 10, or e, evaluate<br />

the logarithm using technology.<br />

9<br />

SC 10<br />

Students will construct functional models of real-world<br />

situations.<br />

Identify the inverse relationship that exists between<br />

logarithms and exponential functions. Students<br />

should apply this to problem solving involving<br />

exponential and logarithmic functions.<br />

3<br />

3<br />

11<br />

Express as a logarithm, the solution to ab^c = d, where<br />

a, c, and d are numbers and the base is 2, 10 , or e.<br />

3<br />

12<br />

Evaluate the logarithm using either graphing or<br />

scientific technology.<br />

3<br />

13<br />

Apply laws of logarithms to either expand or contract<br />

a given logarithmic expression.<br />

4<br />

F.IF.7e<br />

Graph exponential and logarithmic functions<br />

showing intercepts, and end behavior, and<br />

trigonometric functions, showing period,<br />

midline, and amplitude.<br />

SC 14<br />

Graph functions expressed symbolically and show key<br />

features of the graph (including intercepts, intervals<br />

where the function is increasing, decreasing, positive<br />

or negative; relative maxima and minima; symmetries,<br />

and end behavior) by hand in simple cases and using<br />

technology in more complicated cases.<br />

(Students encouraged to use graphing technologies)<br />

2<br />

15<br />

Interpret the parameters in an exponential function in<br />

2<br />

2013-2014

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