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Common Core Standards

Real Numbers

Grade: 8th Grade
Standard:

CC.2.1.8.E.1

Description:

Distinguish between rational and irrational numbers using their properties.

Standard:

Math.8.NS.1 or 8.NS.A.1

Description:

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.

Standard:

Math.8.NS.2 or 8.NS.A.2

Description:

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.

Standard:

M08.A-N.1.1.1

Description:

Determine whether a number is rational or irrational. For rational numbers, show that the decimal expansion terminates or repeats (limit repeating decimals to thousandths).

Standard:

M08.A-N.1.1.2

Description:

Convert a terminating or repeating decimal to a rational number (limit repeating decimals to thousandths).

Standard:

CC.2.1.8.E.4

Description:

Estimate irrational numbers by comparing them to rational numbers.

Standard:

M08.A-N.1.1.3

Description:

Estimate the value of irrational numbers without a calculator (limit whole number radicand to less than 144).

Standard:

M08.A-N.1.1.4

Description:

Use rational approximations of irrational numbers to compare and order irrational numbers.

Standard:

M08.A-N.1.1.5

Description:

Locate/identify rational and irrational numbers at their approximate locations on a number line

8th Grade Math - Real Numbers Lesson
 
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