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Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
Classifying Rational and Irrational Numbers - Real Number System Activity
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What others say

"This is a fun way to do a quick review with students to see if they understand the difference between rational and irrational numbers."
star
Kelly O.
"My students really liked it. A good project that was engaging. They did such a nice job that I put up their finished products."
star
Jann S.

Description

Students will classify rational numbers and irrational numbers with this engaging real number system activity. They'll use two colors from the key to color-code 28 numbers as rational vs irrational. Finally they'll explain their reasoning and approximate values as they analyze the numbers more closely.

One OPTIONAL way you can scaffold this activity is by having students first use colored transparent counters to indicate the two types of numbers before they color the final product. This activity is a great way to get students working cooperatively in pairs or small groups, while having meaningful math discussions.

A variety of 28 positive and negative real numbers are included:

  • Fractions
  • Mixed Numbers
  • Decimals
  • Integers
  • Square Roots
  • Cube Roots
  • Expressions with Pi

Students are provided with a worksheet with space to record their answers and evidence to prove how they sorted 3 of the rational numbers and 3 of the irrational numbers. They'll also demonstrate their understanding of identify the approximate value of rational and irrational numbers by plotting 6 values on a number line.

Do you have a question about this resource? Please email me: cassie@missmathlady.com

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.

Classifying Rational and Irrational Numbers - Real Number System Activity

Miss Math Lady
1.7k Followers
$2.00

Highlights

Digital downloads
Subjects icon
Subjects
Standards icon
Standards
Pages
1 Double-Sided Worksheet
Answer Key
Included
Teaching Duration
30 minutes

What others say

"This is a fun way to do a quick review with students to see if they understand the difference between rational and irrational numbers."
star
Kelly O.
"My students really liked it. A good project that was engaging. They did such a nice job that I put up their finished products."
star
Jann S.

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This Classifying Rational and Irrational Numbers Activity provides your students with a choice between a printable AND digital version. They'll use two colors to identify rational numbers and irrational numbers. PRINTABLE Activity (Worksheet): Students will identify the type of number by first creat
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Description

Students will classify rational numbers and irrational numbers with this engaging real number system activity. They'll use two colors from the key to color-code 28 numbers as rational vs irrational. Finally they'll explain their reasoning and approximate values as they analyze the numbers more closely.

One OPTIONAL way you can scaffold this activity is by having students first use colored transparent counters to indicate the two types of numbers before they color the final product. This activity is a great way to get students working cooperatively in pairs or small groups, while having meaningful math discussions.

A variety of 28 positive and negative real numbers are included:

  • Fractions
  • Mixed Numbers
  • Decimals
  • Integers
  • Square Roots
  • Cube Roots
  • Expressions with Pi

Students are provided with a worksheet with space to record their answers and evidence to prove how they sorted 3 of the rational numbers and 3 of the irrational numbers. They'll also demonstrate their understanding of identify the approximate value of rational and irrational numbers by plotting 6 values on a number line.

Do you have a question about this resource? Please email me: cassie@missmathlady.com

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.

Reviews

5.0
Rated 5 out of 5, based on 24 reviews
24
ratings
5
24
4
0
3
0
2
0
1
0
Mostly used with 7th and 8th grades
Reviews
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Great resource
Rated 5 out of 5
May 29, 2026
Wonderful resource that will definitely be useful!
Tammy H.
146 reviews • Missouri
Grades taught: 7th
Great resource
Rated 5 out of 5
April 29, 2026
This is a great resource to use to help students with the concept.
Gwendolyn H.
1,487 reviews • Missouri
Grades taught: 6th, 7th, 8th
Awesome Quick Check
Rated 5 out of 5
March 5, 2026
Great to use as an exit ticket or a check in for where students understanding of rational numbers
Alison Levasseur
(TPT Seller)
534 reviews • Maryland
Love it! Very helpful for my high school special education students!
Rated 5 out of 5
December 15, 2025
Love it! Very helpful for my high school special education students!
Brenna M.
355 reviews • California
Grades taught: K, 1st, 2nd, 3rd, 4th, 5th
Great Resource
Rated 5 out of 5
December 10, 2025
Met expectations
Great value
Standards-aligned
This was a great review tool for my 8th graders! Will definitely use again
Hailee Z.
19 reviews
Grades taught: 8th
Helpful for review
Rated 5 out of 5
November 5, 2025
Met expectations
Great value
Standards-aligned
This resource was helpful to review for our upcoming test.
Hannah S.
204 reviews • Arizona
Grades taught: 11th
Student populations: Emerging bilinguals
Great Activity
Rated 5 out of 5
October 24, 2025
Student's had so much fun with this activity. Would recommend !
Devon D.
47 reviews
Grades taught: 9th, 10th, 11th, 12th
A fun, easy to use resource!
Rated 5 out of 5
October 12, 2025
This is a fun way to do a quick review with students to see if they understand the difference between rational and irrational numbers.
Kelly O.
316 reviews • Nebraska
Grades taught: 6th, 7th, 8th

Questions & Answers

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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.
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