Show your work.  If data is involved show your data in a coherent manner.  If you just assert your answers you are failing to inform your reader.

If you don't understand a problem, write a dissertation on it.  Deconstruct it phrase by phrase, describing what you understand and what you don't understand.  Sketch pictures.  Make up numbers and apply them to the situation.  Analyze the grammar of the problem.  Find subjects and verbs and adjectives.  Think about, and write about, what they mean.

Put your name of every page, including the page that states the problem.

Write down at least a synopsis, containing the essential information, on the sheet that states the problem.  Don't make your reader search through other pages and attachments to understand what you've done.  It's OK to attach further documentation, but it should be clear on the first page what you did and what it means.

If quantities have units, the units should be included, and your calculations should include the algebra of the units.

 

constant rate of change of velocity -> quadratic position function (and conversely; start with converse)

In symbols: r% of ht, init ht. h_0.

 

Suppose that the position of the ball on the ramp at clock time t, in seconds, is 5 t^2, in centimeters.

What is the position of the ball at each of the clock times t = 0, 2, 4, 6, 8 seconds?

For each 2-second interval what is the ball's average velocity for that interval (i.e., at what average rate was its position changing with respect to clock time)?

Sketch your best possible graph of velocity vs. clock time for this ball.

 

 

The volume of a cylinder is cross-sectional area * altitude.  If the cross-section is a circle, then the cross-sectional area is pi r^2.  Altitude is measured perpendicular to the cross-section, so what you measured as the length is probably the altitude.  What therefore is the volume of your glue stick?

What is the largest measurement you are sure is less than the diameter of your glue stick? 

What is the smallest measurement you are sure is greater than the volume of the glue stick? 

What is the largest measurement you are sure is less than the legnth of your glue stick? 

What is the smallest measurement you are sure is greater than the length of the glue stick? 

What do you conclude is the minimum possible value of the volume of the glue stick?

What do you conclude is the maximum possible value of the volume of the glue stick?