Category Archives: applied math
Google Science Fair
PHET Interactive simulations
Applied Discrete Structures
Applied Discrete Math pdf + video
American Institute of Mathematics - Open textbook initiative
Paul's online notes
Sustainable House Original Draft 2013
Math Application
Sustainable House Design Challenge
Introduction
Your task is to design a house that uses resources in a sustainable way. You will need to consider these aspects:
- Material use
- Water use
- Climate control
Materials supplied: cardboard boxes of different sizes, cardboard tubing from paper towels and bathroom tissue.
Tools supplied: measuring, straight edge, tape, calculator, scissors, glue, tape and staples.
Sustainable Goals to Achieve:
Sustainable energy is not just about using renewable energy, perhaps its not even about renewable energy, its about using energy wisely and introducing energy efficiency measures.
Sustainable use of materials: Maximizing the use of the materials and reusing them for other purposes. Minimizing the storage area to allow for more living space without compromising the needed space to store.
Water collection and storage: Designing the home to enable collection and storage of rainwater by keeping in mind the following key points:
- Relationship between rainfall and water collection
- Rate of usage vs. rate of collection
- Determination of required storage capacity
Climate control: Maximizing the natural availability of solar light and heat by keeping in mind the following key points:
Solar energy
- Solar path determination
- Relationship between solar performance and orientation angle
- Relationship between solar performance and inclination angle
- Optimization of solar performance
- Solar energy storage
Thermal properties
- Heat transfer to air cavity
- Control
- Insulation material
- Roofing colors
- Roofing insulation
- Effects of ventilation on air cavity temperature
Draft of Original Lesson Plans
| Schedule | Activity | Applied Math | Resources |
| Day 1
|
Sustainable use of material
|
Estimation and approximation-Lighting and protection from the elementsSurface area, perimeter1-step and 2-step equations
Inequalities and quadratic equations |
|
| Day 2
|
|
Equation of the lineThe slope of a line equationThe y-intercept of a line equation
Measuring and straight edge use |
|
| Day 3 | Water collection and storage:
|
Circles – circumference and areaCylinders – surface area and volumeChange of rate introduction
Measuring and straight edge use |
|
| Day 4 | Climate control:
|
Using rectangle areas with width delta and height related to the roof: Riemann SumVolume of a solid by plane slicing |
|
| Day 5 | Climate control:
|
Delta and differentiation conceptsFinding the area under the line by using integration |
|
Lessons
| Schedule | Activity | Applied Math | Resources |
| Day 1
|
Sustainable use of material
|
Estimation and approximation-Lighting and protection from the elements
Surface area, perimeter
1-step and 2-step equations
Inequalities and quadratic equations |
The house: http://www.youtube.com/watch?v=6VZLLXH04uQ
http://www.csgnetwork.com/surfareacalc.html
http://www.calculatoredge.com/enggcalc/perimeter.htm
http://www.numberempire.com/equationsolver.php
|
| Day 2
|
|
Equation of the lineThe slope of a line equationThe y-intercept of a line equation
Measuring and straight edge use |
http://www.wikihow.com/Build-a-Rainwater-Collection-System
|
| Day 3 | Water collection and storage:
|
Circles – circumference and areaCylinders – surface area and volumeChange of rate introduction
Measuring and straight edge use |
|
| Day 4 | Climate control:
|
Using rectangle areas with width delta and height related to the roof: Riemann SumVolume of a solid by plane slicing |
|
| Day 5 | Climate control:
|
Delta and differentiation conceptsFinding the area under the line by using integration |
|
