High School - Modeling
Modeling as a Process 1
- 1
Estimating how much water and food is needed for emergency relief in a devastated city of 3 million people, and how it might be distributed.1.1
- 2
Planning a table tennis tournament for 7 players at a club with 4 tables, where each player plays against each other player.1.2
- 3
Designing the layout of the stalls in a school fair so as to raise as much money as possible.1.3
- 4
Analyzing stopping distance for a car.1.4
- 5
Modeling savings account balance, bacterial colony growth, or investment growth.1.5
- 6
Engaging in critical path analysis, e.g., applied to turnaround of an aircraft at an airport.1.6
- 7
Analyzing risk in situations such as extreme sports, pandemics, and terrorism.1.7
- 8
Relating population statistics to individual predictions. 1.8
The basic modeling cycle2
- 1
identifying variables in the situation and selecting those that represent essential features, 2.1
- 2
formulating a model by creating and selecting geometric, graphical, tabular, algebraic, or statistical representations that describe relationships between the variables, 2.2
- 3
analyzing and performing operations on these relationships to draw conclusions, 2.3
- 4
interpreting the results of the mathematics in terms of the original situation, 2.4
- 5
validating the conclusions by comparing them with the situation, and then either improving the model or, if it is acceptable,2.5
- 6
reporting on the conclusions and the reasoning behind them. Choices, assumptions, and approximations are present throughout this cycle.2.6
Frequently asked questions
- What grade levels do these standards cover?
- Grade 9, Grade 10, Grade 11, and Grade 12
- Where can I read the official document?
- New Jersey Student Learning Standards Mathematics (NJSLS—Mathematics)
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