Math Is Fun
Math Is Fun: Irrational Numbers
This learning resource investigates irrational numbers. Students learn about the concept by exploring images, definitions, and examples. Includes practice questions.
Other
Nearpod: Irrational Numbers
In this lesson on irrational numbers, 8th graders explore how to identify and plot irrational numbers.
CK-12 Foundation
Ck 12: Algebra: Irrational Numbers and Radicals Study Guide
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
CK-12 Foundation
Ck 12: Arithmetic: Quotient Estimation With Mixed Numbers/fractions
[Free Registration/Login may be required to access all resource tools.] In this lesson students estimate quotients of fractions and mixed numbers using benchmarks and rounding. Students examine guided notes, review guided practice, watch...
Khan Academy
Khan Academy: Adding Negative Numbers on the Number Line
Practice matching number line diagrams to addition expressions involving negative numbers.
Other
The Prime Glossary: Rational Numbers
This site gives a definition of what a rational number is. Gives examples and formulas. Very helpful.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: About Rational Numbers
Math Forum response giving a rather thorough overview of rational and irrational numbers, with a brief look at the history of these and other number sets.
Texas Instruments
Texas Instruments: Real Numbers
Students learn to identify real numbers as rational numbers and irrational numbers. They review rational numbers as repeating decimals, and irrational numbers as non-repeating decimals. They also review commutative, associative,...
CK-12 Foundation
Ck 12: Algebra: Equations With Decimals, Fractions, and Parentheses
[Free Registration/Login may be required to access all resource tools.] Solve multi-step equations that involve rational numbers
CK-12 Foundation
Ck 12: Algebra: Rational Numbers in Applications
[Free Registration/Login may be required to access all resource tools.] Solve real-world problems involving the addition and subtraction of fractions and evaluate change.
J Coffman
Joseph Coffman's Lecture Notes: Properties of Numbers
The lesson examines properties of real numbers. Students learn about rational numbers, properties of real numbers, and irrational numbers. Examples and an assessment are included.
Sophia Learning
Sophia: Multiplying Rationals: Lesson 2
This lesson demonstrates how to multiply rational numbers using algebraic notation. It is 2 of 6 in the series titled "Multiplying Rationals."
CPALMS
Cpalms: Product of Non Zero Rational and Irrational Numbers
[Free Registration/Login Required] In this formative assessment task, students are asked to explain how rational and irrational numbers differ and why the product of a non-zero rational number and an irrational number is irrational....
Illustrative Mathematics
Illustrative Mathematics: N Rn: Operations With Rational and Irrational Numbers
Experiment with sums and products of rational and irrational numbers. Aligns with N-RN.B.3.
Integrated Publishing
Integrated Publishing: Rational and Irrational Numbers
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
Illustrative Mathematics
Illustrative Mathematics: 8.ns Comparing Rational and Irrational Numbers
For this task, 8th graders are presented with pairs of rational or irrational numbers. They must state which number in the pair is higher and explain their thinking. Aligns with 8.NS.A.2.
Illustrative Mathematics
Illustrative Mathematics: N Rn: Rational or Irrational?
In each of the following problems, a number is given. If possible, determine whether the given number is rational or irrational. In some cases, it may be impossible to determine whether the given number is rational or irrational. Justify...
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Numbers
Math Forum response to request for information on various number sets. Also defined and discussed are integers, natural numbers, whole numbers, irrational numbers, transcendental numbers, and algebraic numbers.
Khan Academy
Khan Academy: Rational Number Word Problems
Practice solving rational number word problems.
Khan Academy
Khan Academy: Adding Negative Numbers
Practice adding positive and negative single-digit numbers.
PBS
Pbs: Logical Leaps: Fractions, Mixed Numbers, and Decimals on the Number Line
In this interactive, students use logic to solve three riddles involving a frog jumping contest and then place the contestants' jumps at the correct points on the number line. Numbers are randomized so that the frogs' placements on the...
Mr. Martini's Classroom
Mr. Martini's Classroom: Mr. Martini's Classroom: Kids Math Comparing Numbers
Compare numbers from 1 to 40 using inequality symbols and equal sign with this interactive game.
Khan Academy
Khan Academy: Adding & Subtracting Negative Numbers
Practice solving addition and subtraction problems with integers (positive and negative numbers).
University of Utah
University of Utah: Rational Number Tutorial
Use this site to learn the basics about rational numbers in this tutorial. There are exercises to check for understanding are included.
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