Line of Best Fit- Open Middle Problem

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.

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

 

Capture.JPG

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Irrational Approximations on a Number Line

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

number line.JPG

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?)

Correlations- Open Middle Problem

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

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

Functions- Open Middle Problems

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

10x10

 

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

10x10

Functions

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.

 

Function

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.