Virginia Standards of Learning
Secondary
Algebra II
AII.09 The student will find the domain, range, zeros, and inverse of a function; the value of a function for a given element in its domain; and the composition of multiple functions. Functions will include exponential, logarithmic, and those that have domains and ranges that are limited and/or discontinuous. The graphing calculator will be used as a tool to assist in investigation of functions.
Lessons (3)
Introduces the basic ideas needed for understanding linear functions.
Introduces the basic ideas needed for understanding functions.
A capstone lesson to allow students to build a working definition of fractal.
Activities (6)
Determine the fractal dimensions of several line-deformation fractals. Input the scale factor and number of similar copies, and the dimension will be calculated. Fractal Dimensions is one of the Interactivate assessment explorers.
Review the properties of functions by looking at ten different curves and deciding whether or not they meet the criteria for a graph of a function. This activity simply displays the curves - it does not quiz the user.
Similar to other "flyers", Slope Slider uses slider bars to explore the effect of the multiplier and constant on a linear function of the form f(x)=mx+b. Explore the relationship between slope and intercept in the Cartesian coordinate system.
View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Stem and Leaf Plotter is one of the Interactivate assessment explorers.
Enter two complex numbers (z and c) as ordered pairs of real numbers, then click a button to iterate step by step. The iterates are graphed in the x-y plane and printed out in table form. This is an introduction to the idea of prisoners/escapees in iterated functions and the calculation of fractal Julia sets.
Learn about the vertical line test for functions by trying to connect points in the plane to build a function. When you have connected all of the points, you will be told if your graph is a valid graph of a function. Vertical Line Test is one of the Interactivate assessment explorers.