Algebra 1 ch. 3.4

Algebra 1 ch. 3.4

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8th grade formula mini project

Algebra1 Mini-Project   - Collecting Formulas

 

Due Date:  ________________:

 

A formula is a literal equation that states a relationship between two or more quantities.

 

For this project, find two interesting formulas.      Do the following for each formula.

 

c      Write the formula as it is generally found.  IF possible, write it a second time, solving for a different variable.

 

c      Describe what the symbols represent and their units of measure.

 

c      Describe what the formula is used for (see examples below, you may not use these formulas in your project).  You may not know exactly how to manipulate the numbers or symbols, but you should be aware of the formula’s applications.

 

c      Show the real life problem that this formula would solve and demonstrate by substituting values and finding the solution (use correct units of measurement and a correct solution).

 

c      Final Project - save to Google Docs and share with me.  We will then post to class blog.

 

 

Examples:

 

From Baseball:  To determine a Pitcher’s Earned Run Average (ERA), the formula is

 

ERA =

Where ER represents the number of earned runs that the pitcher allows during a given time, and IP represents the number of innings pitched in that time.

 

Curt Schilling pitched 226.2 innings and allowed 82 earned runs.

Curt’s 2004 ERA is calculated as follows:

 

                                         

                                          ERA = = 3.26 ERA

 

 

 

From Aviation:  To determine the ability of a hang glider to glide and soar, you need to                                                         find its aspect ratio (R), the formula is:

R =

                                          Where A = area of the wing, and s is the length of the wingspan.

 

If a hang glider has a wing area of 36 square feet, and a wingspan of 10 feet, find it’s aspect ratio.

             

R = = 2.78 aspect ratio

 

 

 

 

 

                                                    Grading Rubric

        

Requirement	Max Points	Formula 1	Formula 2
Correctly written formula	1 per formula
Description of symbols and units of measure	2 per formula
Purpose of formula, What is it used for?	3 per formula
Real life application Substitute realistic values & solve correctly	3 per formula
Relevant Illustration	1 per formula
Neatness & effort	5-4-3-2-1 overall
Totals 25 points maximum

                                                                                                                                           

 

 

^{Name________________________________ Group _____________ Total Score_____________}