Group Task: Mark Schedule

  • The poster, slide share or google sheet must be on EVERY group members google site.
  • There is more detail about the PPMCC here.
  • Create your own problems.
  • Make sure you include a photo of the 3D object you are using.
  • Make sure you NAME the shapes.
  • Make sure your include the FORMULA you are using.
  • Make sure you include a DIAGRAM showing the MEASUREMENTS.
Measurement Mark Grid 2019.pdf

Mark Scheme for the PPMCC project.

Whilst the perimeter might seem pointless for a 3D shape, in order to "tick the box" of level 3 & 4 please make sure you know how to calculate the perimeter of your shape.

When working in 3D we call the perimeter the EDGE length.

edge: the segment along which two faces meet

Problem:

Which stack has the largest surface area?

Which stack has the largest Volume?

Makes statements about which stack you think has the greater surface area and which stack you think has the greatest volume. Estimate the values. If each member of the team makes an estimate for all four totals you can declare a WINNER at the end.

Plan:

  1. We will CREATE a table to enter the measurements into.
  2. We will MEASURE the circumference, diameter and the height of each cylinder.
  3. We will compare the MEASURED circumference with the calculated circumference using the MEASURED diameter for each cylinder. We do this to check the accuracy of our measurements.
  4. We will Re-measure if there is a significant difference. (Aim: to the nearest mm).
  5. The M&M container is not a cylinder, we will take the top and bottom diameters and model the surface area as a trapezium. To calculate the volume we will use the average diameter.
  6. We will use the measurements to calculate the exposed surface area for each container.
  7. We will use the measurements to calculate the volume of each container.
  8. We will add up our calculations to get the total exposed surface area and the total volume of each container tower.
  9. We will compare the total surface area of each container stack, and make the claim which has the greatest surface area.
  10. We will compare the total volume of each container stack, and make the claim which has the greatest volume.
  11. We will compare our conclusions with our estimates.
  12. We will reflect on our learning and how well we worked as a team.

Measure:

The advantage of using Google Sheets is that you can use formula to make multiple calculations easy.

PPMCC

Calculate:

The calculations can be done using algebra in the Google Sheet above, then the totals can be written up here.

Conclude:

Make a clear statement about which container stack has the greatest surface area, and which has the greatest volume.

Were you surprised? How did your estimates compare with your calculations?

What did you learn from the process?

How well did your team work together?

Inspiration: To make up your own problems.

What is the perimeter and area of these polygon people?

Which person do you think has the greatest area? Which person do you think has the longest perimeter? To complete this task you might have two people per person, so a group of 6. You would present it together using Google Slides and your physical measurement posters.

PPMCC - You decide what the problem is.