Doina Popovici
Math Play: Rational and Irrational Numbers Game
An interactive game where students have to determine whether a number is a rational or a irrational number.
University of St. Andrews (UK)
University of St. Andrews: Georg Ferdinand Cantor
This site, which is provided for by the University of St. Andrews, gives information on the German mathematician Cantor.
ClassFlow
Class Flow: Rounding
[Free Registration/Login Required] In this flipchart, students apply estimation strategies to predict or determine the reasonableness of answers in situations involving computation on rational numbers in various forms including whole...
ClassFlow
Class Flow: Number Theory Order of Operations
[Free Registration/Login Required] This flipchart will help students understand the order of arithmetic operations with rational numbers. It includes exercises and assessment questions.
Doina Popovici
Math Play: 8th Grade Halloween Math Game
An online game where students destroy spooky monsters by answering questions that have them writing rational numbers as decimals and decimals as fractions.
University of Utah
University of Utah: The Number System
This site from The University of Utah provides a definition of commonly used numbers including rational numbers, natural numbers, integers, real and complex numbers and more.
Illustrative Mathematics
Illustrative Mathematics: 6.ns Comparing Temperatures
This task has students do computations with positive and negative numbers in the context of temperature. Aligns with 6.NS.C.7.b.
Khan Academy
Khan Academy: Compare and Order Absolute Values
Write an inequality to compare absolute values. Order numbers written in absolute value form from least to greatest. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
BBC
Bbc: Skillswilse: The Number Line
This Skillswise site focuses on number lines. Included is a video about how to use number lines, fact sheets and worksheets for instruction, and quizzes on the information presented. Be aware that this is from Great Britain, so any games...
Illustrative Mathematics
Illustrative Mathematics: Using Operations and Parentheses
The purpose of this task is to give students a chance to work creatively with three of the four fundamental arithmetic operations (addition, subtraction, and multiplication). It is well suited for helping students develop fluency with...
Illustrative Mathematics
Illustrative Mathematics: 6.ns Jumping Flea
In this task, 6th graders examine where numbers are on a number line in relation to zero and what we mean by absolute value. Aligns with 6.NS.C.7.
CK-12 Foundation
Ck 12: Arithmetic: Repeating Decimals
[Free Registration/Login may be required to access all resource tools.] In this lesson students write fractions and mixed numbers as repeating decimals. Students examine guided notes, review guided practice, watch instructional videos...
Alabama Learning Exchange
Alex: Those Number Aren't Just Moody.
Rational numbers can sometimes cause problems when they're converted to repeating decimals. That, we can handle. But, what about those irrational numbers that can only be "sort of, like approximated"? How can we expect students to...
Purple Math
Purplemath: Number Types
This site explores the different types of numbers: natural numbers, whole numbers, integers, and rational and irrational numbers. Content includes some practice questions.
Khan Academy
Khan Academy: Writing Fractions as Repeating Decimals
Practice writing fractions as repeating decimals. Get ready to bust out those long division skills! Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
CK-12 Foundation
Ck 12: Algebra: Solving Real World Problems With Two Step Equations
[Free Registration/Login may be required to access all resource tools.] Use rational numbers and two-step algebraic equations to solve real-world problems. Includes examples, guided practice, a video [12:59], practice problems, and an...
Oswego City School District
Regents Exam Prep Center: Irrational Approximations
Providing one lesson, one practice exercise, and two teacher resources, the information at this website is geared toward students who already understand rational and irrational numbers. The lesson has explanations of what happens when a...
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions
The goal of this task is to use properties of exponents for whole numbers in order to explain how expressions with fractional exponents are defined. Aligns with the N-RN.A.1 standard.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Square Roots and Irrational Numbers
Math Forum response to whether square roots of all non-perfect squares are irrational. Contains a proof showing that such cases are, indeed, irrational.
Education Place
Houghton Mifflin: Eduplace: Extra Practice Quiz Evaluate Expressions 2
Practice evaluating expressions with rational numbers in them. Read the interactive quiz rules and then click on the "Begin" ticket. If you answer incorrectly you get one more chance to try again then you are told the correct answer. See...
Texas Instruments
Texas Instruments: Number Sets
When you start this activity, students receive a Venn diagram of real number sets (natural, whole, integer, rational, irrational)on their calculator. This same diagram is projected on the Activity Center screen at the front of the room....
National Institute of Educational Technologies and Teacher Training (Spain)
Ministerio De Educacion: Los Numerous Reales
In this module you will learn about rational and irrational numbers.
Math Open Reference
Math Open Reference: Number
Resource defines numbers into two main categories, counting numbers and scalars. It also gives examples of number notation.
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