Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Irrational Numbers; Rational Square Roots

For Students 9th - 10th Standards
Dr. Math responds to how one can tell whether a number is rational or irrational. A proof is discussed in the response.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Number Systems

For Students 9th - 10th Standards
Find a quick, concise explanation of Real Numbers. Other number systems are also defined such as: Natural, Integer, Rational, Irrational and Complex Numbers.
Handout
Lawrence Hall of Science

The Math Page: Topics in Precalculus

For Students 9th - 10th Standards
Designed to help high school students to learn precalculus, topics include the formal rules of algebra, rational and irrational numbers and mathematical induction.
Activity
Texas Instruments

Texas Instruments: Rational Match

For Teachers 6th - 8th
Students use the Rational Number Rampage application to play a game to find numbers that are equivalent fractions, decimals, and percents.
Unit Plan
TED Talks

Ted: Ted Ed: A Brief History of Numerical Systems

For Students 9th - 10th
1, 2, 3, 4, 5, 6, 7, 8, 9 and 0. With just these ten symbols, we can write any rational number imaginable. But why these particular symbols? Why ten of them? And why do we arrange them the way we do? Alessandra King gives a brief history...
Activity
Texas Instruments

Texas Instruments: Rational Timer

For Teachers 6th - 8th
Students use the calculator to play a game that requires them to convert numbers to fractions, decimals, or percent quickly and accurately.
Unknown Type
Khan Academy

Khan Academy: Rational Number Word Problems

For Students 6th - 8th Standards
Practice solving multi-step word problems. The numbers in these problems may be fractions, decimals, and percents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Common Core Sheets

Common Core Sheets: The Number System 7.ns.1a Worksheets

For Teachers 7th
Create a learning exercise to assess students understanding of adding and subtracting with negative and positive numbers.
Graphic
Curated OER

Math Words: Rational Numbers

For Students 9th - 10th
Mathwords provides a brief description with an easy to read chart that includes all types of real numbers.
Interactive
Other

Pearl Diver

For Students 1st - 3rd Standards
Collect pearls by diving on the number line for the number given.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Sums of Integers on a Number Line

For Students 6th - 8th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students find sums of integers by using a number line. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Sums of Integers on a Number Line

For Students 6th - 8th Standards
[Free Registration/Login may be required to access all resource tools.] In this lesson students find sums of integers by using a number line. Students examine guided notes, review guided practice, watch instructional videos and attempt...
Unit Plan
Scholastic

Scholastic: Study Jams! Math: Numbers: Integers

For Students 6th - 8th Standards
This site provides great practice on the concept of integers. Students can first learn about the topic by watching a step by step instruction video that also points out areas of concern. Finally, students can practice their knowledge by...
Activity
Math Medics

S.o.s. Math: Algebra

For Students 9th - 10th Standards
This lesson provides basic instruction on the major concepts in algebra. Content includes a focus on fractions, units of conversion, complex numbers, quadratic equations, factorization and roots of polynomials, solving equations, systems...
Whiteboard
ClassFlow

Class Flow: Irrational Numbers

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students are introduced to irrational numbers, and the application in various expressions.
Unit Plan
Khan Academy

Khan Academy: Addition & Subtraction: Find the Missing Value

For Students 6th - 8th Standards
Practice finding the missing value in an addition or subtraction equation involving negative numbers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Sets and Symbols

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Classify real numbers as rational numbers, whole numbers, integers, and irrational numbers.
Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Conversion of Decimals, Fractions, and Percent

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Understand, identify and find equivalent forms of rational numbers
Interactive
Doina Popovici

Math Play: Rational and Irrational Numbers Game

For Students 7th - 9th Standards
An interactive game where students have to determine whether a number is a rational or a irrational number.
Handout
University of St. Andrews (UK)

University of St. Andrews: Georg Ferdinand Cantor

For Students 9th - 10th
This site, which is provided for by the University of St. Andrews, gives information on the German mathematician Cantor.
Whiteboard
ClassFlow

Class Flow: Rounding

For Teachers 9th - 10th Standards
[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...
Whiteboard
ClassFlow

Class Flow: Number Theory Order of Operations

For Teachers Pre-K - 1st Standards
[Free Registration/Login Required] This flipchart will help students understand the order of arithmetic operations with rational numbers. It includes exercises and assessment questions.
Interactive
Doina Popovici

Math Play: 8th Grade Halloween Math Game

For Students 7th - 9th
An online game where students destroy spooky monsters by answering questions that have them writing rational numbers as decimals and decimals as fractions.
Activity
University of Utah

University of Utah: The Number System

For Students 9th - 10th Standards
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.

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