Curated OER
Algebra I: nth Root and Rational Exponents
This algebra worksheet contains problems on converting between nth roots and rational exponents for numbers. It also includes problems on simplifying radicals having various indices and rational exponents. It does not include an answer...
Curated OER
Multiplying Rational Expressions
In this rational expression worksheet, students simplify rational expressions. They write the product and quotient in lowest terms. This two-page worksheet contains five problems.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout the...
Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
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
The Real Number System: Rational or Irrational
In this real numbers worksheet, learners determine if 14 expressions when simplified are rational or irrational. Students take the square and cube roots of numbers to determine if the result is rational or irrational.
New Mexico State University
Number Rights
You do not have to be whole to be important. Individuals watch a video on the importance of rational numbers on the number line. Scholars use their knowledge to rename numbers on the number line as well as place rationals on a number...
Noyce Foundation
Percent Cards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
EngageNY
Rational Exponents—What are 2^1/2 and 2^1/3?
Are you rooting for your high schoolers to learn about rational exponents? In the third installment of a 35-part module, pupils first learn the meaning of 2^(1/n) by estimating values on the graph of y = 2^x and by using algebraic...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
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
In this math worksheet, students find the solutions to the rational numbers using radicals. Then they express the answer in simplest form.
EngageNY
Mid-Module Assessment Task: Grade 8 Module 7
Assess pupil understanding of rational and irrational numbers with a mid-module assessment that is the 15th lesson in the 25-part series. The questions represent the objectives in the first half of the series. Topics include decimal...
California Education Partners
Least and Greatest
Squares can be magic. Pupils use their knowledge of addition of positive and negative rational numbers to create a 3 X 3 magic square where the sums are 1. Scholars create addition and multiplication expressions with a set of rational...
EngageNY
Mid-Module Assessment Task: Grade 7 Module 2
A seven-question assessment determines how well your learners understand the procedures to add, subtract, multiply, and divide signed rational numbers. Pupils show their understanding through problem-solving situations.
Illustrative Mathematics
Comparing Temperatures
Which is colder -12 or -18? Temperature is natural real-world application of ordering rational numbers. It's also fun to talk about the lowest recorded temperature on Earth. Take the time to discuss this inquiry with your class.
Curated OER
The Rational Number System
In this rational number system worksheet, students identify rational and irrational numbers. They use a Venn Diagram to place numbers in their correct number set. This five-page worksheet contains approximately 10 problems. Answers are...
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...
Illustrative Mathematics
Bookstore Account
We use debt often to describe negative numbers and your learners will be able to see how it translates into math. They will be asked to go through a series of transactions and make simple equations for each one, following it with a...
Curated OER
Multiplication And Division of Rational Expressions
There is nothing wrong with good old-fashioned practice. Middle schoolers simplify rational expressions using the operations of multiplication or division. The worksheet included 24 problems and an example to help learners along.
Curated OER
Practice With Complex Fractions
For this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
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...
Curated OER
My Test Book: Rational and Irrational Numbers
In this online interactive math skills activity, students solve 10 multiple choice math problems regarding rational and irrational numbers. Students may submit their answers to be scored.
Curated OER
Rational Functions
In this rational functions activity, 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 activity contains 35 multip-step problems.
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