Round walks as teaching tools
You can do a lot of maths4sustainabilty teaching with a round walk. And get the students out in the fresh air and get them connecting with their neighborhood.
Connecting brings indigenuity and that fosters sustainability and resilience.
Sustainable food production
Calculations about how much land area is needed to feed everyone in the. During the round walk they should be looking for where food is produced, where it comes into the area etc. After the round walk get them to work out where that land is if it is not where they live.
Nutrients Soil to Soil
A soil to soil perspective is a sustainable stance. Students can look for where nutrients leave the area. And where they come in.
A similar exercise to food can be carried out with energy. Where does it come in/leave. How much land/surface area is needed and where does the energy go (as it is neither created or destroyed).
Speed and time
Teach about speed and time and then get them to work out how fast they can walk. Get them to test their speeds walking along different sections of the route.
Then you can introduce comparisons of walking and using the bus and going by car.
You can get them to explore how people worked before when only horse and bicycle were available to commute with. That leads to thinking abut the future.
After learning area calculations they can explore how much land is needed to grow food and plot on a map of their area the land taken up by food production.
They can then inventory the land actually available in the area to work out food sovereignty.
Area leads to all kinds of footprint work: carbon footprint and ecological footprint.
Talking volume leads to rainwater calculations which leads to calculating the needs of the area for drinking, and to taking care of waste water.
Learning about energy can be connected to transport needs, fuel needs and the carbon footprint of each person.
Burning wood is one way to get heat. Calculating how much firewood is needed is interesting. They can work out how much forest can support what size of population.
These are just some ideas to develop. Keep in touch!