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PBS
Pbs: Logical Leaps: Graphing Inequalities: Rational Numbers
In this interactive, use logic to solve three riddles involving a jumping wallaby competition. Then, using knowledge of inequalities and rational numbers, place the wallabies on the correct range from -5 to 5 on the number line. Numbers...
PBS
Pbs: Logical Leaps: Adding Rational Numbers on the Number Line
In this interactive, use logic to solve riddles involving a wallaby jumping contest. Add two consecutive jumps and place them on a number line, finding equivalent fractions and common denominators to do so. Backward jumps represent...
Illustrative Mathematics
Illustrative Mathematics: 8.ns Identifying Rational Numbers
For this task, 8th graders are presented with a mixed set of eight different numbers and must identify them as rational or irrational and explain how they know. Aligns with 8.NS.A.1.
PBS
Pbs Learning Media: The Number Line: Rational Numbers and Football
Students add and subtract plays on a football field to practice working with negative and positive integers on the number line.
Math Is Fun
Math Is Fun: The Evolution of Numbers
Discusses what numbers are and how our understanding of them has evolved over thousands of years, from simple counting to negative numbers and irrational numbers, for example. Includes a set of practice questions where students identify...
PBS
Pbs: The Number Line: Rational Numbers and Football
In this interactive, students add and subtract plays on a football field to practice working with negative and positive integers on the number line. Each set of randomized drives consists of seven to nine plays and ends with a touchdown....
Illustrative Mathematics
Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers
The goal of this task is to examine sums and products of rational and irrational numbers. One important property of rational numbers is that their decimals always terminate or repeat: using a slightly different formulation, a rational...
PBS
Pbs: Logical Leaps: Graphing Inequalities: Fractions, Mixed Numbers, and Decimals
In this interactive, use logic to solve three riddles involving a jumping frog competition. Then, using knowledge of inequalities and rational numbers, place the frogs in the correct range from 0 to 5 on a number line. The fractions,...
Illustrative Mathematics
Illustrative Mathematics: 8.ns Converting Decimal Rational Numbers to Fractions
Eighth graders are presented with three repeating decimal numbers and must convert them to fraction format. Aligns with 8.NS.A.1.
Other
Interactive Real Analysis: Natural Numbers, Integers, Rationals
A rigorous definition of natural numbers, integers, and rationals numbers, using advanced mathematics language. Contains links to proofs.
PBS
Pbs Learning Media: Logical Leaps: Rational Numbers on the Number Line
In this interactive, use logic to solve riddles involving a wallaby jumping contest.
Utah Education Network
Uen: Ordering and Computing With Negative Fractions and Decimals
This lesson plan allows students to practice comparing and ordering rational numbers on a number line as well as computing with fractions and decimals. It provides an assessment plan and attachments for the lesson's activities.
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.
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.
Alabama Learning Exchange
Alex: Rational or Irrational? That Is the Question
Learners will participate in an activity that will help them obtain a feeling of how numbers are related to each other. They will determine whether a number is rational or irrational. Students will also be able to order rational and...
National Council of Teachers of Mathematics
The Math Forum: Golden Ratio, Fibonacci Sequence Faq
This site contains questions and answers regarding the Golden Ration and how the Fibonacci numbers relate to the ratio of lengths of golden rectangles. Related links are available at the end of the site.
Illustrative Mathematics
Illustrative Mathematics: 7.ns, 7.ee Bookstore Account
In this lesson, 7th graders add and subtract rational numbers to solve word problems.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Distances Between Houses
In this lesson plan, 7th graders determine the distance between houses by adding and subtracting rational numbers.
Illustrative Mathematics
Illustrative Mathematics: 7.ns Rounding and Subtracting
This lesson plan has students subtract and round rational numbers.
Better Lesson
Better Lesson: Assessment Day
SWBAT use strategies to identify rational numbers on a number line.
TED Talks
Ted: Ted Ed: A Brief History of Numerical Systems
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...
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.
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.
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