Targeted Content Standards and Benchmarks
Targeted NCTM Content Standards
Number and Operations Standard for Grades 3-5 and 6-8
In grades 3-5 and 6-8, all students should—

• Understand numbers, ways of representing numbers, relationships among numbers, and number systems;
• Understand the place-value structure of the base 10 number system and be able to represent and compare whole numbers and decimals;
• Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tool.

In grades 6-8, all students should—

• Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation;
• Develop a deeper understanding of very large and very small numbers and of various representations of them;
• Judge the effects of such operations as multiplication, division, and computing powers and roots on the magnitude of quantities;
• Judge the reasonableness of numerical computations and their results.

Problem Solving Standard for Grades 3-8
In grades 3-8, instructional programs should enable all students to—

• Solve problems that arise in mathematics and in other contexts
• Build new mathematical knowledge through problem solving
• Apply and adapt a variety of appropriate strategies to solve problems
• Monitor and reflect on the process of mathematical problem solving

Connections Standard for Grades 3-8
In grades 3-8, instructional programs should enable all 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

Student Objectives
Students will be able to:

• Develop an understanding of a million
• Develop an understanding of a billion
• Develop an understanding of the magnitude of the difference between one billion and one million
• Become familiar with a variety of ways to represent large numbers
• Develop a deeper understanding of the effect of computing powers of 10 and doubling on the magnitudes of quantities

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