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.
Khan Academy
Khan Academy: Rational Numbers on the Number Line
In this exercise, students practice placing fractions on the number line. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Why Repeating Decimals Are Rational?
Math Forum response to why all repeating decimals are rational numbers, including examples and concise explanations.
Cut the Knot
Cut the Knot!: What Is a Number?
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Khan Academy
Khan Academy: Rational vs. Irrational Expressions
Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Cool Math
Coolmath: Rational Functions the Whole Thing
Explanation and examples of rational functions.
Other
Nearpod: Multiplying Positive & Negative Integers
In this lesson, 7th graders will learn how to multiply positive and negative integers and rational numbers.
Khan Academy
Khan Academy: Rational Numbers on the Number Line
Practice placing positive and negative fractions and decimals on the number line. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Solving Multi Step Problems With Rational Numbers
[Free Registration/Login may be required to access all resource tools.] Solve multiple step problems and use the estimation to check for reasonableness.
Khan Academy
Khan Academy: Negative Numbers on the Number Line
In this exercise, students practice finding negative numbers on the number line. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Quia
Ixl Learning: Irrational Numbers
Brush up on your math skills relating to irrational numbers then try some practice problems to test your understanding.
Wikimedia
Wikipedia: Rational Numbers
Learn the definition of rational numbers. You can also look at some examples and properties, plus learn about Egyptian fractions. Links are provided for additional information.
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