Quadratic Investigations Packet Name ________________________

Block ____

This packet contains all your investigation instructions, data, graphs, etc. for the Quadratic Investigations that we will work on in class. Keep this packet and bring it to class every day during our Quadratics Unit!

Investigation 1 – Pillow Toss and Data Ranger

Data from Pillow Toss Experiment:xy

xy

x represents ______________________________________________.

y represents ______________________________________________.

Graph of Pillow Toss Experiment:

Write in a title for the graph and labels for each axis. Also, determine and label an appropriate scale. Then plot all of your data points and draw an appropriate curve to fit the data.

Questions about Pillow Toss Experiment:

Investigation 2 – Figurate Numbers (Pentagonal Numbers)

In the space below, draw the next three diagrams in the pattern. Record your data in the table below. Then try to determine the final two data points in the table without drawing more diagrams.

Data from Pentagonal Numbers Investigation:Numbe

r of dots per side

1 2 3 4 5 6 7 8 9

Total numbe

r of dots

1 5 12

Graph of Pentagonal Numbers Investigation:

Write in a title for the graph and labels for each axis. Also, determine and label an appropriate scale. Then plot all of your data points and draw an appropriate curve to fit the data.

Questions about Pentagonal Numbers Investigation:

Investigation 3 – Ball Bounce and Data Ranger

Data from Ball Bounce Experiment:

x

y

x

y

x represents ______________________________________________.

y represents ______________________________________________.

Graph of Ball Bounce Experiment:

Write in a title for the graph and labels for each axis. Also, determine and label an appropriate scale. Then plot all of your data points and draw an appropriate curve to fit the data.

Questions about Ball Bounce Experiment:

Investigation 4 – Optimizing Area, Given a Fixed Perimeter

For this investigation, you may use the grid paper and thumbtacks set up in the classroom, or you can draw diagrams on the grids provided here, following the general guidelines below:

Data from Area/Perimeter Investigation:Width (units)Area

(units2)

Graph of Area/Perimeter Investigation:

Write in a title for the graph and labels for each axis. Then plot all of your data points and draw an appropriate curve to fit the data.

Questions about Area/Perimeter Investigation: