- Subchapter A
- Patterns and Relationships
- For Grades: 9-12
- Learning Goal 1
- Mathematics is the study of quantities and shapes, the patterns and relationships between quantities or shapes, and operations on either quantities or shapes. Some of these relationships involve natural phenomena, while others deal with abstractions not tied to the physical world.

- Learning Goal 2
- As in other sciences, simplicity is one of the highest values in mathematics. Some mathematicians try to identify the smallest set of rules from which many other propositions can be logically derived.

- Learning Goal 3
- Theories and applications in mathematical work influence each other. Sometimes a practical problem leads to the development of new mathematical theories; often mathematics developed for its own sake turns out to have practical applications.

- Learning Goal 1

- For Grades: 9-12

- Patterns and Relationships
- 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