LiveMath Labs : PreCalculus Edition
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PreCalculus Edition
Sample Labs :


Below are two sample labs from the Precalculus Edition of LiveLabs. Each sample consists of a lab sheet in PDF format and several interactive laboratories authored in LiveMath Maker.

You will need Adobe Acrobat Reader to view the PDF lab sheets.

You will need LiveMath Plug-In to interact with the interactive laboratories.

With these installed you will be able to explore the labs using your web browser.

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Sample Labs
About LiveLabs
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Sample Lab One  
Inequalities  
Two Labs, Five Interactives  

This lab presents experience with linear inequalities. Make your own inequality with less than, less than or equal, greater than, or greater than or equal. Test possible solutions computationally then graph solution sets on the number line and observe how switching the inequality sign effects the graph. Finally, hypothesize on general shapes of solution sets connection pertinent characteristics with the inequality signs.


 
Lab #1) Lab Sheet, Interactive, Interactive, Interactive, Interactive  
Lab #2) Lab Sheet, Interactive  
   
Sample Lab Two  
Lines  
Five Labs, Eleven Interactives  

This lab presents experience with lines. The labs begin with an examination of the Cartesian, points, and coordinates. Using this structure the lab prompt a student's natural idea of linear patterns and from there establishes guides students to the defining characteristic of lines: constant growth rate or slope.

Slope between points is the test for membership in a particular line and students are put in charge of this test in many situations. From here all points satisfying the test are gathered to form a line and the main features of lines are identified.

After approaching lines graphically, algebraic representation is added via equations. Y-intercept and standard forms of linear equations are presented with plenty of investigation and hypothesizing. This leads to comparison of lines including perpendicularity.

Finally, lines are used to establish the distance formula between points via the Pythagorean Theorem.


 
Lab #1) Lab Sheet, Interactive, Interactive, Interactive  
Lab #2) Lab Sheet, Interactive, Interactive, Interactive  
Lab #3) Lab Sheet, Interactive, Interactive, Interactive  
Lab #4) Lab Sheet, Interactive  
Lab #5) Lab Sheet, Interactive  

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