Parallel and Perpendicular Lines- Open Middle Problem

Directions: Using the numbers 0 to 9, at most once each time, fill in blanks to create a set of 4 points that create either Parallel or Perpendicular lines, depending on how you connect them.

1st Quadrant.PNG

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

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Box Plots- Open Middle Problem

Directions: Using the integers 0 to 9, create a data set that will produce the following Box Plot.  You may use the numbers more than once.

boxplot.png

 

What is the least amount of points you need to create the graph?

What is the greatest amount of points you need to create the graph?

Can you have the same amount of points but different values?  (Could 1,1,3,3,5,5,7,7,9,9 product the same box plot as 1,1,3,4,5,5,6,7,9,9?) If so, provide an example.

Graphing Temperature Change- Open Middle Problem

Directions: Using the numbers 1-9 at most once each time, create a graph that represents the temperature change over seven days.

  1. Overall temperature change is six degrees
  2. The temperature increase or decrease can not exceed three degrees per day
  3. The temperature change (increase or decrease) alternates between days

graph3

Temperature for Day 1: ___

Temperature for Day 2: ___

Temperature for Day 3: ___

Temperature for Day 4: ___

Temperature for Day 5: ___

Temperature for Day 6: ___

Temperature for Day 7: ___