CCOG for MTH 76 archive revision 202001
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 Effective Term:
 Winter 2020
 Course Number:
 MTH 76
 Course Title:
 Introduction to GeoGebra
 Credit Hours:
 1
 Lecture Hours:
 10
 Lecture/Lab Hours:
 0
 Lab Hours:
 0
Course Description
Intended Outcomes for the course
 Successfully install GeoGebra on a work or home computer or tablet
 Use GeoGebra in a similar capacity as a graphing calculator: as a computer algebra system to perform algebraic operations and to graph functions and equations
 Use GeoGebra to create mathematical images for use in other documents, such as: exams, presentations and written assignments
Course Activities and Design
Activities should include submitting files that show experience with all of the following:
 Download GeoGebra and submit a saved GeoGebra file
 Graph an equation or function using GeoGebra and alter it (e.g. move, show/hide, color, style, label, restrict domain, etc.)
 Use a graph (e.g. find intercepts, intersect two functions, find area under a curve, etc.)
 Use the Computer Algebra System (CAS) to perform algebra
 Create interactive files using sliders or other input objects (e.g. sliders that alter coefficients, points on a function that trace out related functions, relation between points on a circle and a trigonometric function)
 Use files from outside GeoGebra within GeoGebra and/or use GeoGebra graphs or data or files independent from GeoGebra (e.g. use data from Excel in GeoGebra, use a graph generated in GeoGebra in a text document, import a picture to GeoGebra)
Outcome Assessment Strategies
Assessment must include at least two of the following:

Attend 80% or more of class meetings (for those classes that meet in person) for pass consideration

Weekly document assignments

Portfolio of GeoGebra files

Colaborative work

Cumulative assignment
 Level specific assignment (e.g lab write up for MTH251 or Exam for MTH112)
Course Content (Themes, Concepts, Issues and Skills)

OBTAINING GEOGEBRA:

Download and Install GeoGebra

Download GeoGebra as a freestanding program or use as a webbased utility

Download the appropriate Java support if necessary



GRAPH A FUNCTION:

Graph functions using function notation

Graph equations in implicit form

Show/Hide objects using: Algebra Window and/or Properties Window and/or rightclicking and/or Show/Hide icon

Investigate Graphs:

Intersect two graphs

Read a value from a graph using a point on the graph

Use the “Extrema” function to find local and global minimum and maximum

Find zero(s) and y intercept


Alter the graphics view from the Graphics Window and from the popup window

Zoom

Alter one axis (either by altering aspect ratio, or dragging one axes with the mouse or manually in the popup window)

Turn on and off the rectangular grid



USE THE COMPUTER ALGEBRA SYSTEM:

Understand that GeoGebra evaluates expressions according to the order of operations (e.g. complex fractions and radicals).

Be able to use parentheses as grouping symbols correctly.

Use CAS commands like Solve[, Expand[, Factor[, FractionText[, and/or options for equation formatting (e.g. changing between standard form and slopeintercept form of a linear equation, or Aekx vs. Abx form)


RECOGNIZE CHILD AND PARENT OBJECTS:

Create an object dependent on another object (e.g. a tessellation based on two points, or a first and second derivative of a function), and alter the parent object to observe changes in the child(ren) object(s)

Understand that deleting a parent object deletes all child objects

Use undo and redo with keyboard commands and/or undo buttons


USE SLIDERS:

Create a slider

Use a slider

Use a slider to alter an object on the screen or spreadsheet or algebra view

Examine a family of functions using Trace and a slider as a coefficient (e.g. y=mx+b with m as a slider between 5 and 5, incrementing by 0.1)

Animate a slider with dropdown window and/or play/pause button



USE ICONS TO CREATE OBJECTS

Create objects geometrically (e.g. lines or circles)

Use red triangles to employ nonobvious icons (e.g. insert text, insert image, insert vector, etc)


USE GEOGEBRA OUTSIDE OF THE GEOGEBRA SOFTWARE

Export the graphics screen to clipboard

Use a GeoGebra image in a document

Import and use an image

Import an image from a computer or tablet to the Graphics window

Attach an image’s corners to other points in the Graphics window

Use corner points to alter an image to a desired scale



OPTIONAL TOPICS

Plotting data and regressions

Draw a scatter plot, box plot or histogram

Perform a regression on a set of points (e.g. use line of best fit icon; use FitPoly[ to plot a parabola based on three points; use FitSine[ to fit a sine wave to a set of points overlaid on an imported graph of natural gas use)


Use the Tool Creation feature

Make a tool based on input object(s) with output object(s) dependent on input (e.g. tessellation tool using two regular polygons)

Save the tool and/or make an icon for the tool


Use the Function Inspector

Use Conditional Visibility and Style changes

Make text and/or objects that appear under specific parameters

Alter color based on parameters or

Alter color and style of objects manually


Explore the Statistics Calculator

Download and explore GeoGebra 3D

Create objects in 3D mode

Change view angle and zoom in 3D Graphics window


Export a file as a webpage

Create a demonstration or activity

Export a demonstration or activity as a webpage independent from GeoGebra

Recognize the necessity of support .jar file (if applicable)


GeoGebra Tube

Upload to GeoGebra Tube an approved GeoGebra file or webpage to be used by other GeoGebra users


Utilize the builtin LaTeX commands to improve appearance of text
