University of Utah
Rational and Irrational Numbers
Conquer any irrational fears you might have of irrational numbers. As class members investigate how to represent numbers geometrically, they learn about rational and irrational numbers, including approximating and ordering rational...
Curated OER
The Number Line
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
Illustrative Mathematics
Comparing Rational and Irrational Number
Algebra learners must know how to use rational numbers to approximate irrationals. This resource asks participants to decide which number is larger without using a calculator. It makes a great exercise to use as a five-minute transition...
Curated OER
Fractions and Rationals
Upper elementary and middle schoolers solve 16 types of problems to include writing fractions to represent shaded portions, writing a mixed number to represent certain points on a number line, and changing equivalent mixed numbers to...
Illustrative Mathematics
Irrational Numbers on the Number Line
There are four irrational numbers that participants need to graph. Pi(π), -(½ x π), and √17 are easy to approximate with common rational numbers. On the other hand, the commentary describing the irrational number 2√2 is not clear. It...
Charleston School District
Comparing and Ordering Irrational Numbers on a Number Line
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
Curated OER
Rational Numbers
In this rational numbers worksheet, students solve and complete 35 different problems that include identifying a number of rational numbers. First, they replace each blank line with greater than, less than, or equal to symbols to make...
Curated OER
Rational Numbers
In this rational numbers worksheet, students solve and complete 31 different problems that include multiplication of each. First, they determine the product of each problems, changing their signs when needed. Then, students simplify each...
Curated OER
Rationals
In this rational numbers worksheet, 9th graders solve 14 various types of problems relating to rational numbers that include simplifying each equation and reducing to lowest terms to using the order of operations to simplify equations....
Curated OER
Addition and Subtraction of Rational Expressions
In this rational expression learning exercise, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This...
Charleston School District
Pre-Test Unit 7: Real Numbers
Don't be irrational! Use this pre-test to assess your classes' ability to work with all types of real numbers. The lesson asks learners to estimate value, evaluate roots, and order numbers. This begins a series of lessons on the real...
Curated OER
Algebra 1: Simplifying Radicals
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of...
Alabama Learning Exchange
As If Numbers Weren't Complex Enough Already!
The class explores the concept of complex numbers on a website to generate their own Mandelbrot sets. They will practice performing operations with complex numbers and then to get a visual understanding, graph the absolute value of a...
EngageNY
Adding and Subtracting Rational Expressions
There's a fine line between a numerator and a denominator! Learners find common denominators in order to add and subtract rational expressions. Examples include addition, subtraction, and complex fractions.
Curated OER
Review of Pre-Algebra
Middle and high schoolers review topics covered Pre-Algebra. They solve problems questions dealing with exponents, square roots and absolute value. They use the rules of divisibility and identify prime numbers. This two-page on-line...
EngageNY
An Appearance of Complex Numbers 1
Complex solutions are not always simple to find. In the fourth lesson of the unit, the class extends their understanding of complex numbers in order to solve and check the solutions to a rational equation presented in the first lesson....
Curated OER
Cartesian Coordinates
Students investigate rational numbers through data analysis and statistics. For this algebra lesson, students represent, rename, compare and order rational numbers. They collect and represent data correctly on a graph.
Curated OER
Arithmetic Operations With Numbers
In this arithmetic operations instructional activity, 9th graders identify and solve 48 different problems that include applying Arithmetic operations with various types of numbers. First, they simplify each of the expressions using...
Curated OER
Solving Algebraic Equations: Algebra/Geometry Institute
Students solve problems using PEMDAS. In this algebraic equations lesson plan, students evaluate expressions using real number properties. They play "Math Jeopardy" to reinforce the order of operations.
Curated OER
Square Roots, Number Classification, Ordering & Graphing
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
Curated OER
Rational or Irrational
In this rational and irrational numbers worksheet, 7th graders solve 24 different problems that include defining various rational and irrational numbers and/or expressions. First, they identify whether each given number and/or expression...
Curated OER
Exploring Real Numbers
In this algebra learning exercise, 11th graders classify numbers as rational, irrational, integral and whole. They solve the equations and graph i ton a number line. There are 26 questions with an answer key.
Curated OER
Properties of Real Numbers
In this algebra worksheet, students identify and use the properties of real numbers to solve problems. They identify and differentiate between rational and irrational functions. There are 13 problems.
Cabrillo College
Elementary Algebra
Hello Algebra! If you're in need of a resource with a books worth of examples and practice problems, this is it. Some topics include linear equations, polynomials and exponents, rational expressions, quadratic equations, and a great...