got TOTAL UT?

“To Optimize Teaching And Learning Utilizing Technology”

Below are the objectives for Pre-Calculus.  Click on the link  for students or  for teachers for any objective to see the resources available or to add your own resource.

Home - Math – Pre-Calculus

 

Standard 2: Patterns, Functions and Algebra

Resources

Benchmark

Indicator

  

A.  Analyze functions by investigating rates of change, intercepts,         zeros, asymptotes, and local and global behavior.

 

1.   Describe and compare the characteristics of the following     families of functions: quadratics, power functions of any degree, logarithms, and rational functions (e.g., general shape,     number of roots, domain and range, asymptotic behavior).

2.   Identify the maximum and minimum points of polynomial and rational functions graphically and with technology.

3.   Identify families of functions with graphs that have rotation     symmetry or reflection symmetry about the y-axis, x-axis or

      y = x.

4.   Represent the inverse of a function symbolically and            graphically as a reflection about y = x.

5.   Describe the characteristics of the graphs of conic sections.

6.   Describe how a change in the value of a constant in an    exponential, logarithmic or radical equation affects the graph of      the equation.

7.   Analyze the behavior of arithmetic and geometric sequences     and series as the number of terms increases.

8.   Translate between the numeric and symbolic form of a          sequence or series.

9.   Make mathematical arguments using the concepts of limit.

10.  Make arguments about mathematical properties using             mathematical induction.

 

B.  Use recursive functions to model and solve       problems (e.g.,         home mortgages, annuities).

1.   Identify and describe problem situations involving an iterative      process that can be represented as a recursive function (e.g.,       compound interest).

2.   Translate a recursive function into a closed form expression or         formula for the nth term to solve a problem situation involving       an iterative process (e.g., find the value of an annuity after 7 years).

 

Some web sites may need additional software to view properly. If you have difficulties please see our "Viewers, Helpers, and Plugins" page to download what you need.

Note: The resources provided are for informational purposes only. Loveland City Schools is not responsible for the content of the web sites to which these pages are linked. We encourage you to report to us any broken or inappropriate links.