(NS) The Number System Categories All categories Not categorized Prioritized Standards (EE) Expressions and Equations (F) Functions (G) Geometry (NS) The Number System (SP) Statistics and Probability

# The Number System

• Know that there are numbers that are not rational, and approximate them by rational numbers.

## Standards in this Domain

• MAT-08.NS.01 - Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
• MAT-08.NS.02 - Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ∏²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

## Calculation Method for Domains

Domains are larger groups of related standards. The Domain Grade is a calculation of all the related standards. Click on the standard name below each Domain to access the learning targets and rubrics/ proficiency scales for individual standards within the domain.

#### MAT-08.NS.01

Domain (NS) The Number System
Cluster: Know that there are numbers that are not rational, and approximate them by rational numbers

MAT-08.NS.01 Understand informally that every number has a decimal expansion; the rational numbers are those with decimal expansions that terminate in 0s or eventually repeat. Know that other numbers are called irrational.

## Student Learning Targets:

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### Product Targets

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Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark

**MAT-6.1.3 Find the equivalent forms among fractions, decimals, and whole number percents

*MAT-8.1.1 Identify subsets of the real number system; i.e., natural and whole numbers, integers, rational and irrational numbers

• *** Indicates strong content alignment from Common Core Standards to North Dakota Content Standards
• ** Indicates partial content alignment from Common Core Standards to North Dakota Content Standards
• * Indicates weak content alignment from Common Core Standards to North Dakota Content Standards

#### MAT-08.NS.02

Domain (NS) The Number System
Cluster: Know that there are numbers that are not rational, and approximate them by rational numbers

MAT-08.NS.02 Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²).

For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

## Student Learning Targets:

• I can
• I can

• I can
• I can

• I can
• I can

### Product Targets

• I can
• I can
Rubric - Resources

Comparison to ND 2005 Mathematics Standards/Benchmark