Virginia Department of Education
Complex Numbers
Build on your class' understanding of real numbers as they begin working with complex numbers. Pupils begin with an exploration of i and the patterns in the powers of i. After developing a definition for i, they simplify complex number...
Curated OER
Rationalizing Denominators
For this math worksheet, students find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
CK-12 Foundation
The Real Numbers: Number System
Get real about learning the real number classification. Young mathematicians create a graphic organizer of the real number system using an interactive. They answer a set of challenge questions on the classifications of real numbers.
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...
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
Curated OER
How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
Curated OER
Rational Numbers as Exponents
In this algebra worksheet, students rewrite 3 radical expressions as exponential notation. They change 6 quantities with fraction exponents into equivalent radical expressions. Students write three exponential expressions, eliminating...
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...
Curated OER
Rational Functions
In this rational functions worksheet, students identify rational functions. They find the domain and range of each function. Students find the x and y-intercepts of functions. This two-page worksheet contains 35 multip-step problems.
Curated OER
Solving Rational Equations
For this rational equations worksheet, students identify the least common multiple and solve rational equations. This two-page worksheet contains 18 problems.
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.
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
College Level Study Guide
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
PB Works
Numbers Lesson 3 - Hershey Bar Fractions
Talk about delicious math! Pupils solve problems involving rational numbers and analyze real-life problems to find solutions in a pre-algebra class. They discuss the sections of a Hershey's bar in terms of fractions and decimals before...
Curated OER
Discovering Math: Rational Number Concepts
Students explore the concept of Egyptian contributions in mathematics. In this Egyptian contribution activity, students research Egyptian hieroglyphics and pyramids. Students write numerals in hieroglyphics. Students use Egyptian...
Virginia Department of Education
Rational Expressions
Demonstrate the progression of operations with rational expressions through a multi-day lesson, equipped with worksheets for each day. High schoolers develop the concepts needed to perform operations with rational expressions. They learn...
Curated OER
Does Order Really Matter?
Investigate the order of operations! Learners participate in interactive multi-media activities to examine and solve multi-step equations, inequalities. They evaluate formulas and simplify monomials and polynomials.
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
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
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
Multiplication and Division of Rational Expressions
In this rational expression worksheet, learners multiply and divide rational expressions. They solve 24 problems on this two-page worksheet.
Curated OER
Properties of Real Numbers
In this properties of real numbers worksheet, 9th graders solve and complete 24 different problems that include applying the various property types of real numbers. First, they name the set of numbers to which each number belongs. Then,...
Curated OER
Add Rational Expressions
In this rational expression worksheet, students add, subtract and write rational numbers in their lowest terms. This two-page worksheet contains five problems.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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