Nanotechnology and Human Health

Appendix C - Implementing District Standards

My school district standards align with state standards; the following is a list of Delaware Mathematics Standards for grades 9-12 addressed by this unit. As discussed in the Objectives section, this unit addresses some science standards, as well.

Content Standard 1– Numeric Reasoning: Students will develop Numeric Reasoning and an understanding of Number and Operations by solving problems in which there is a need to represent and model real numbers verbally, physically, and symbolically; to explain the relationship between numbers; to determine the relative magnitude of real numbers; to use operations with understanding; and to select appropriate methods of calculations from among mental math, paper-and-pencil, calculators, or computers.

This unit will prepare students to perform these grade level expectations:

• Represent and operate with very large and very small numbers to include various representations of them (grade 9).
• Simplify numeric and symbolic expressions involving exponents (grade 10).
• Simplify expressions with negative and fractional exponents (grade 11).

Content Standard 3 – Geometric Reasoning: Students will develop Geometric Reasoning and an understanding of Geometry and Measurement by solving problems in which there is a need to recognize, construct, transform, analyze properties of, and discover relationships among geometric figures; and to measure to a required degree of accuracy by selecting appropriate tools and units.

This unit will prepare students to perform these grade level expectations:

• Demonstrate an understanding of and apply formulas for area, surface area, and volume of geometric figures including pyramids, cones, spheres, and cylinders (grades 9 and 10))
• Demonstrate the effects of scaling on volume and surface area of three-dimensional solids (grade 10)

Process Standard 5 – Problem Solving: Students will develop their Problem Solving ability by engaging in developmentally appropriate problem-solving opportunities in which there is a need to use various approaches to investigate and understand mathematical concepts; to formulate their own problems; to find solutions to problems from everyday situations; to develop and apply strategies to solve a wide variety of problems; and to integrate mathematical reasoning, communication and connections.

This unit will prepare students to:

• Build new mathematical knowledge (all grades)
• Solve problems that arise in mathematics and in other contexts (all grades)

Process Standard 8 – Connections: Students will develop mathematical Connections by solving problems in which there is a need to view mathematics as an integrated whole and to integrate mathematics with other disciplines, while allowing the flexibility to approach problems, from within and outside mathematics, in a variety of ways.

This unit will prepare students to:

• Recognize and use connections among mathematical ideas
• Understand how mathematical ideas interconnect and build on one another to produce a coherent whole
• Recognize and apply mathematics in contexts outside of mathematics