Summer Numeracy Program

Boats that float!

During the last week of math camp, we challenged our Mathletes to use the construction and math skills that they had been practicing to individually and economically build a boat that would float. The parameters of the challenge were simple:

Goal:

  • Using the materials from the list below, design and construct the least expensive boat possible that will float and carry plastic people on it.

Materials:

Screen Shot 2016-07-25 at 1.26.11 PM

Steps of boat construction:

  1. Design and sketch your boat
  2. Decide which materials you will need
  3. Estimate how much you will need of each material
  4. Calculate the approximate cost of your boat materials
  5. Construct boat and adjust cost estimate according to materials actually used

As this was the third week of Math Camp and the students had completed various STEM-based challenges already, they were becoming more efficient at planning, designing and carrying out the process of construction. The added challenge of calculating the cost of their boat was a great differentiation tool, which engaged the older students in particular to minimize their use of resources through unique design. The boat challenge was completed individually, which revealed each Mathlete’s strengths and areas of opportunity more clearly. For example, some students initially constructed ‘rafts’ (i.e. no mast, sail, hull). While this was an economical option, we challenged them to adjust their design so it more closely resembled a boat.

Throughout the various steps of their boat construction, students faced many hurdles with regards to design, use of materials, calculation of cost, etc. Yet, the most striking observation from this task was the resiliency and grit demonstrated by our Mathletes as they adopted the ‘Keep Moving Forward‘ mindset and persevered with the task. There was a large variety in the finished products, and many students added colour, decorations and a personal touch that demonstrated immense pride in their boats.

They were very keen to test their creations, so we decided to spend time as a large group  floating their boats. One by one, each student placed their boat in the water (they all floated!) and added plastic people figurines until it sank. As a connection to our previous work on patterning, they added people according to the Fibonacci sequence (i.e. 1, 1, 2, 3, 5, 8…) and we recorded how many people each boat held.  While some students were initially hesitant to test their boats to the point of sinking, the fun atmosphere and support of their classmates encouraged them to give it a go! We discussed the strengths of their designs and the purpose of minimizing cost (i.e. minimizing use of non-renewable resources). It was a fantastic celebration of their hard work, and each Mathlete received a ‘Boat Building Award’ in recognition of their success!

 

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