Interactivate: Standard Expectation

12 items total

Organization: Virginia Standards of Learning
Grade Band: Secondary
Standard Goal: Algebra II

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.

Introduction to Functions	Lesson: Introduces the basic ideas needed for understanding functions.
More Complicated Functions: Introduction to Linear Functions	Lesson: Introduces the basic ideas needed for understanding linear functions.
Properties of Fractals	Lesson: A capstone lesson to allow students to build a working definition of fractal.
Fractal Dimensions	Activity: 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.
Fractured Pictures	Activity: Generate complicated geometric fractals by specifying starting polygon and scale factor.
Function Flyer	Activity: A more advanced version of Slope Slider, this activity allows the manipulation of the constants and coefficients in any function thereby encouraging the user to explore the effects on the graph of the function by changing those numbers.
Possible or Not	Activity: 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.
Simple Plot	Activity: Plot ordered pairs of numbers, either as a scatter plot or with the dots connected. Points are connected from right to left, rather than being connected in the order they are entered.
Slope Slider	Activity: Manipulate a linear function of the form f(x)=mx+b using slider bars. Explore the relationship between slope and intercept in the Cartesian coordinate system.
Stem and Leaf Plotter	Activity: View stem-and-leaf plots of your own data, and then practice finding means, medians and modes. Parameters: Data
Two Variable Function Pump	Activity: 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.
Vertical Line Test	Activity: 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.