Benchmark Navigator Choose a Grade K-2 3-5 6-8 9-12 and Choose a Benchmark Chapter 1. The Nature of Science 2. The Nature of Mathematics 3. The Nature of Technology 4. The Physical Setting 5. The Living Environment 6. The Human Organism 7. Human Society 8. The Designed World 9. The Mathematical World 10. Historical Perspectives 11. Common Themes 12. Habits of Mind

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A. Patterns and Relationships By the end of 8th grade, students should know that: Usually there is no one right way to solve a mathematical problem; different methods have different advantages and disadvantages. Logical connections can be found between different parts of mathematics. B. Mathematics, Science, and Technology By the end of 8th grade, students should know that: Mathematics is helpful in almost every kind of human endeavor—from laying bricks to prescribing medicine or drawing a face. In particular, mathematics has contributed to progress in science and technology for thousands of years and still continues to do so. C. Mathematical Inquiry By the end of 8th grade, students should know that: Mathematicians often represent things with abstract ideas, such as numbers or perfectly straight lines, and then work with those ideas alone. When mathematicians use logical rules to work with representations of things, the results may or may not be valid for the things themselves.

    

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