Directions: Using the digits 0 to 7, at most once each time, fill in the blanks to create a scatter plot with line of best fit y= 1/2x + 4.

(___ , ___) (___ , ___) (___ , ___) (___ , ___)

Directions: Using the digits 0 to 7, at most once each time, fill in the blanks to create a scatter plot with line of best fit y= 1/2x + 4.

(___ , ___) (___ , ___) (___ , ___) (___ , ___)

Using the numbers 1 to 9, each only once, label the following number line.

Graph the roots of the first nine roots (e.g. √1, √2, … √9) on your number line.

What do you notice? What do you wonder?

(I’m wondering how I can make a good OM problem out of this, should I keep the boundaries of 1 to 9 ? Have students find a root that lies between each integer?)

Directions: Using the integers 2 to 8, at most once each time, fill in the boxes to make the graphic true.

Are there any places you know certain numbers have to be on the graphic? How do you know?

Directions: Using the numbers 0-9, without repetition for each case, create a set of points that have the following characteristics:

Non-linear Positive Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

Non-linear Negative Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

No Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

Quadratic Correlation

(__,__) (__,__) (__,__) (__,__) (__,__)

Consider the roots of the first 9 Natural Numbers (√1 to √9), how many of them produce Irrational Numbers?

List them. Graph their approximate location on a number line.

Explain how you determined where to place them on the graph.

Is √10 Rational or Irrational? Explain how you know. Where on the number line would you graph it?

Using the Integers 0-9 (and only each Integer once), create a set of ordered pair that represents a Function.

f(x) = ( , ),( , ),( , ),( , ),( , )

Graph the Ordered Pairs

Using the Rational Numbers 0-9 (and only each once), create a set of ordered pair that does not represents a Function.

( , ),( , ),( , ),( , )

Graph the Ordered Pairs

Construct an X and Y axis for the graph and create a list of ordered pair representing the graph. Does this graph represent a Function? Justify your answer.

If you believe it is a function, change one ordered pair so that it is not.

If you believe it is not a function, change one ordered pair so that it is.