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Real Numbers Sorting Activity
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Description

The handout contains real numbers of each category. Have small groups of students categorize the different types of numbers. The teacher will need to circulate providing encouragement, suggestions and correction of minor errors.

An extension could be to arrange all numbers on a number line.

Natural numbers: counting numbers, not including 0
Whole numbers: above plus 0
Integers: above, plus negatives thereof
Rational Numbers: above, plus terminating and repeating decimals
Irrational Numbers: non-terminating, non-repeating decimals
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Real Numbers Sorting Activity

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Digital downloads
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Grades
7th - 10th
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Subjects
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Standards
Pages
1
Teaching Duration
30 minutes

Description

The handout contains real numbers of each category. Have small groups of students categorize the different types of numbers. The teacher will need to circulate providing encouragement, suggestions and correction of minor errors.

An extension could be to arrange all numbers on a number line.

Natural numbers: counting numbers, not including 0
Whole numbers: above plus 0
Integers: above, plus negatives thereof
Rational Numbers: above, plus terminating and repeating decimals
Irrational Numbers: non-terminating, non-repeating decimals
Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Standards

to see state-specific standards (only available in the US).
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.
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.
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