Charleston School District
Review Unit 7: Real Numbers
Provide pupils with problems to check their understanding of the concepts within the unit. The seven-part series of lessons covers concepts related to irrational numbers. Learners convert between fractions and decimals, estimate the...
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
Rationalizing the Denominator
In this algebra worksheet, students investigate how to rationalize a denominator to get rid of the root. There are 5 problems to be solved, containing roots in the denominator. An answer key is included.
Curated OER
Analyzing and Solving Polynomial Equations
In this polynomial equations learning exercise, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page learning exercise contains 18 multi-step problems....
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
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...
Curated OER
Quotients Involving Square Roots; Extra Practice 35
In this math worksheet, students simplify fractions involving square roots. They must rationalize the denominators in ten problems. The final eight problems require students to approximate their answers to three decimal places.
Curated OER
Topic 6.4 - The Quadratic Formula and Discriminant
In this quadratic equation worksheet, students find the exact value of the discriminant and describe the nature of the roots of each quadratic equation. They then solve the equation. There are 9 problems on this page to solve.
Curated OER
Radicals and Rational Exponents
In this radicals and rational exponents learning exercise, 9th graders solve and complete 32 various types of problems. First, they write each expression in radical form. Then, students write each expression in exponential form. In...
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this activity to push them a little further in their understanding. Learners must identify sums and...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Curated OER
Rational Exponents
In this rational exponents worksheet, 9th graders solve 10 different problems that include fractional exponents in each. First, they determine the simplest numerical answer possible for each expression. Then, students apply the rules of...
Charleston School District
Identifying Irrational Numbers
These numbers have some personality! Are they rational or irrational? The lesson examines the definitions of rational and irrational numbers and shows examples of how to identify them.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Target A
Take an irrational approach to numbers with a Smarter Balanced assessment that covers the introduction of irrational numbers. The nine items cover identifying irrational numbers, approximating them with rational numbers, and converting...
Curated OER
Chapters 8 & 9: Functions and Graphing
How many problems can your learners solve without using their calculators? They solve problems containing absolute value, exponents, and rational roots. This three-page worksheet contains 18 multi-step problems, and it was originally...
Curated OER
Simplifying Radical Expressions
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Curated OER
Topsy-Turvy Math With Rational Numbers
Fourth graders complete a worksheet. As a whole class, 4th graders hear a lecture and complete a worksheet on factors, multiplicative inverses and reciprocals, finding the quotient of two fractions and the division of fractions to...
Curated OER
The Irrational Numbers
In this algebra worksheet, learners solve rational numbers using addition, subtraction and multiplication. They identify the rules of solving rational and irrational numbers. There are 50 questions on 6 pages.
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,...
Math Guy
Algebra 2 Practice Final
Work out to Algebra II with the 50-question activity that practices different types of functions. Multiple choice questions focus on topics such as rational, radical, and logarithmic functions. The resource comes with a printed answer...
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
Easy Worksheet: Simplifying Radical Expressions 2
In this simplifying radical expressions worksheet, students solve 18 short answer problems. Students multiply and simplify radical expressions involving integers and rational numbers.
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...
