- Subchapter B
- Mathematics, Science, and Technology
- For Grades: 9-12
- Learning Goal 1
- Mathematical modeling aids in technological design by simulating how a proposed system might behave.

- Learning Goal 2
- Mathematics and science as enterprises share many values and features: belief in order, ideals of honesty and openness, the importance of criticism by colleagues, and the essential role played by imagination.

- Learning Goal 3
- Mathematics provides a precise language to describe objects and events and the relationships among them. In addition, mathematics provides tools for solving problems, analyzing data, and making logical arguments.

- Learning Goal 4a
- Developments in science or technology often stimulate innovations in mathematics by presenting new kinds of problems to be solved.

- Learning Goal 4b
- The development of computer technology (which itself relies on mathematics) has generated new kinds of problems and methods of work in mathematics.

- Learning Goal 5
- Developments in mathematics often stimulate innovations in science and technology.

- Learning Goal 6
- Mathematics is useful in business, industry, music, historical scholarship, politics, sports, medicine, agriculture, engineering, and the social and natural sciences.

- Learning Goal 1

- For Grades: 9-12

- Mathematics, Science, and Technology
- Subchapter C
- Mathematical Inquiry
- For Grades: 9-12
- Learning Goal 1
- Some work in mathematics is much like a game: Mathematicians choose an interesting set of rules and then play according to those rules to see what can happen. The more interesting the results, the better. The only limit on the set of rules is that they should not contradict one another.

- Learning Goal 2
- Much of the work of mathematicians involves a modeling cycle, consisting of three steps: (1) using abstractions to represent things or ideas, (2) manipulating the abstractions according to some logical rules, and (3) checking how well the results match the original things or ideas. The actual thinking need not follow this order.

- Learning Goal 3
- To be able to use and interpret mathematics well, it is necessary to be concerned with more than the mathematical validity of abstract operations and to take into account how well they correspond to the properties of the things represented.

- Learning Goal 1

- For Grades: 9-12

- Mathematical Inquiry