Unit Plan
PBS

Pbs: Logical Leaps: Graphing Inequalities: Rational Numbers

For Students 6th - 8th Standards
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...
Unit Plan
PBS

Pbs: Logical Leaps: Adding Rational Numbers on the Number Line

For Students 6th - 8th
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Identifying Rational Numbers

For Teachers 8th Standards
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.
Interactive
PBS

Pbs Learning Media: The Number Line: Rational Numbers and Football

For Students 6th - 8th Standards
Students add and subtract plays on a football field to practice working with negative and positive integers on the number line.
Handout
Math Is Fun

Math Is Fun: The Evolution of Numbers

For Students 9th - 10th Standards
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...
Unit Plan
PBS

Pbs: The Number Line: Rational Numbers and Football

For Students 6th - 8th
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....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn Sums of Rational and Irrational Numbers

For Teachers 9th - 10th Standards
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...
Unit Plan
PBS

Pbs: Logical Leaps: Graphing Inequalities: Fractions, Mixed Numbers, and Decimals

For Students 6th - 8th
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,...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Converting Decimal Rational Numbers to Fractions

For Teachers 8th Standards
Eighth graders are presented with three repeating decimal numbers and must convert them to fraction format. Aligns with 8.NS.A.1.
Handout
Other

Interactive Real Analysis: Natural Numbers, Integers, Rationals

For Students 9th - 10th Standards
A rigorous definition of natural numbers, integers, and rationals numbers, using advanced mathematics language. Contains links to proofs.
Interactive
PBS

Pbs Learning Media: Logical Leaps: Rational Numbers on the Number Line

For Students 6th - 8th
In this interactive, use logic to solve riddles involving a wallaby jumping contest.
Lesson Plan
Utah Education Network

Uen: Ordering and Computing With Negative Fractions and Decimals

For Teachers 9th - 10th Standards
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.
Activity
University of Utah

University of Utah: Rational Number Tutorial

For Students 9th - 10th Standards
Use this site to learn the basics about rational numbers in this tutorial. There are exercises to check for understanding are included.
Handout
Cut the Knot

Cut the Knot!: What Is a Number?

For Students 9th - 10th Standards
Casual and clear but definitely upper-level discussion of rational, real, imaginary, and several other types of numbers. Links to related sites.
Lesson Plan
Alabama Learning Exchange

Alex: Rational or Irrational? That Is the Question

For Teachers 6th - 8th Standards
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...
Unit Plan
National Council of Teachers of Mathematics

The Math Forum: Golden Ratio, Fibonacci Sequence Faq

For Students 9th - 10th
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ns, 7.ee Bookstore Account

For Teachers 7th
In this lesson, 7th graders add and subtract rational numbers to solve word problems.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ns Distances Between Houses

For Teachers 7th
In this lesson plan, 7th graders determine the distance between houses by adding and subtracting rational numbers.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 7.ns Rounding and Subtracting

For Teachers 7th Standards
This lesson plan has students subtract and round rational numbers.
Lesson Plan
Better Lesson

Better Lesson: Assessment Day

For Teachers 6th Standards
SWBAT use strategies to identify rational numbers on a number line.
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...
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent

For Teachers 9th - 10th Standards
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions

For Teachers 9th - 10th Standards
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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