UNIT 1 REVIEW: SCIENTIFIC METHODS  

Note- this review is just to give you some practice with some ideas that will be on the test, it is not inclusive of all ideas on the test.  Anything we have discussed during this unit may appear on the test.

 

1.)

           

 

            a.)  What are the units of slope for this graph?

 

 

 

            b.)  What is the average price of a compact disc? (What does the slope of the line mean?)

 

             

            c.)  What is the mathematical model which describes the graph?  

 

            d) What does the y-intercept of the graph mean?

 

 

 

2.)     The following data was collected during an experiment:

 

                                                            Time (s)

Mass (kg)

 

Trial 1

Trial 2

Trial 3

Trial 4

5

10.2

9.5

10.5

10.3

10

15.3

15.6

15.2

15.4

15

23.4

24.5

23.8

23.1

20

35.0

35.8

35.2

35.4

 

         a.)  Write a clear, English sentence which describes a general relationship between mass and time.

 

3.)

                       

 

            a.)  What is the mathematical model which represents this graph?

 

   

            b.)  Write a clear, English sentence which describes the meaning of the slope.

 

 

            c.)  What would be the SAT score of a student who took seven science classes?

 

   

4.)     A student performed an experiment with a metal sphere.  The student shot the sphere from a slingshot and measured its maximum height.  Six different trials were performed with the sphere being shot at a different angle from the horizontal for each trial.

 

         a.)  What is the relationship being studied?

 

 

         b.)  What is the independent variable in this experiment?

 

 

         c.)  What is the dependent variable in this experiment?

 

 

         d.)  What variable must be held constant throughout this experiment?

 

 

 

5.)     If Intensity measured in W/m^2 is graphed on the y-axis and 1/d^2 measured in 1/m^2 is graphed on the y-axis of a straight line graph, what are the units of the slope of the line?

   

6.)

                       

 

            a.)  What type of relationship does this graph suggest?

 

 

 

            b.)  What variables would you plot to linearize the data?

 

        

7.)

                       

 

            a.)  Write the mathematical model which describes the graph above?

 

 

 

            b.)  What does the y-intercept illustrate?

 

 

 

            c.)  Using the mathematical model, how many applications would be needed to earn $8000?

 

 

8.)     For each of the following relationships:    

         • Write what method should be used to linearize the data.

         • Write the mathematical model which would describe the straight line produced.

         • Draw a graph which visually represents the relationship.

 

         a.)  Hyperbolic (Inverse)

   

   

 

         b.)  Top Opening Parabola

 

 

 

 

        c.)  Side Opening Parabola  

9)

10)