**Driving Question:**When do you know you have the correct answer?

**Learning Objectives**

**Success Criteria**

*Beginning*

*To be able to calculate the volume of different size boxes.*

*Developing*

*To investigate how to find the maximum volume of a box.*

*Mastering*

*To be able to explain the method for number problems using trial and improvement.*

**Resources**

*Dear Year 7*

*Sorry I am not in school today. In my absence I would like you to investigate the puzzle below. You will need to experiment with different size boxes cut from the paper (on the front desk).*

*Scissors and glue can be found in the trays.*

*You will need to find the area of each box and record your findings on a table (see the example below).*

*Record all you finding in your book (and stick in the flattened boxes in).*

*At the end of the lesson (or when you get home if you do not have access to internet in school) upload your solution to Showbie (by 18:00 this evening).*

*Many thanks*

*Mr Kent*

In place of card you will use 20cm x 20cm pieces of paper (you will need to measure these out and then cut them out).

You will need to experiment with many different sizes of box to find the one with this biggest area. Record you findings in the table below.

You will need to experiment with many different sizes of box to find the one with this biggest area. Record you findings in the table below.

**Record you answer**

Upload a picture of your table to Showbie along with a note stating the dimensions of the box you think has the biggest volume.