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Common Core Sheets
Common Core Sheets: The Number System 8.ns.2 Worksheets
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
Khan Academy
Khan Academy: Simplify Roots of Negative Numbers
Rewrite square roots of negative numbers as imaginary numbers.
CK-12 Foundation
Ck 12: Algebra: Irrational Square Roots
[Free Registration/Login may be required to access all resource tools.] Find approximate solutions to equations involving irrational numbers.
Texas Instruments
Texas Instruments: Roots
Concepts and skills covered in this activity include roots, powers of 10, and problem solving. Roots is taken from "Investigating Mathematics with Calculators in the Middle Grades".
Khan Academy
Khan Academy: Quadratics by Taking Square Roots
Analyze the process of solving a quadratic equation by taking the square root. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: N Rn and 8 Ns: Calculating the Square Root of 2
Jessica evaluates $\sqrt{2}$ on her calculator which shows a value of $$ 1.4142136. $$ She then writes $$ \sqrt{2} = 1.4142136. $$ Aligns with 8.NS.A.
Khan Academy
Khan Academy: Simplify Square Root Expressions
Practice simplifying expressions with multiple radical terms.
Varsity Tutors
Varsity Tutors: Hotmath: Solving Quadratic Equations by Finding Square Roots
Twenty-one problems where students practice solving quadratic equations by factoring.
Math Planet
Math Planet: Completing the Square
If you've got a quadratic equation on the form of ax^2 + c = 0 Then you can solve the equation by using the square root of x = square_root(-c/a) or x = -square_root(-c/a)
Other
Answermath: Raiz
An online root game which offers practice in mental math and times practice. When you submit the wrong answer, it provides the correct one. Students and teachers can choose square root or cube root problems. In Spanish, with links to...
Wolfram Research
Wolfram Math World: I
The imaginary number (also called the imaginary unit) is defined as the square root of negative one. This site explains the rational for the existence of the imaginary number "i" and gives formulas involving "i" including Euler's...
Oswego City School District
Regents Exam Prep Center: Complex Numbers
A wealth of material to help you plan classroom instruction on complex numbers: several lessons that cover the number i, square roots of negative numbers, and operations involving complex numbers; practice activities, some of which...
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part I
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations by factoring and the square root property.
Khan Academy
Khan Academy: Square and Cube Challenge
Practice solving problems using your knowledge of square and cube roots. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Texas Instruments
Texas Instruments: Study Cards
Students use the StudyCard stack to review their understanding of squares and square roots.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Quadratic Equations
A detailed tutorial that will guide you through various methods for solving quadratic equations: factoring, square root, completing the square, and quadratic formula. Follow step-by-step examples, view video problem-solving...
CK-12 Foundation
Ck 12: Algebra: Nth Roots
[Free Registration/Login may be required to access all resource tools.] This lesson introduces and teaches how to evaluate nth roots. Students examine guided notes, review guided practice and attempt practice problems.
Khan Academy
Khan Academy: Roots of Decimals and Fractions
In this exercise, students practice finding the roots of decimals and fractions. Students receive immediate feedback and have the opportunity to get hints, watch a video, and try questions repeatedly.
Sophia Learning
Sophia: Introduction to Roots and Radicals
Sophia: Introduction to Roots and Radicals uses teacher tutorials and online assessments to introduce and analyze concepts such as Even Roots, Negative Numbers, Odd Roots, Partial Root, Perferct Squares, Radicals Root, and Roots.
Khan Academy
Khan Academy: Graphs of Square and Cube Root Functions
Given the formula of a square-root or a cube-root function, find the appropriate graph.
Khan Academy
Khan Academy: 4th & 5th Roots
Radicals are also known as roots. The most common are square root and cube root, but there are more.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Properties of Square Roots
Find a quick, concise explanation of the properties of square roots. An example is given and clearly explained for each property.
Math Open Reference
Math Open Reference: Root (Of a Number)
Learn how to find the root of a number. Topics covered include two roots, roots of negative numbers, and imaginary numbers. This site offers descriptions along with multiple examples.
Other
Dan's Math: Basic Skills Topics
College professor Dan Bach offers a review of various basic topics in arithmetic, pre-algebra, and algebra. Order of operations, exponents, square roots, variables, and combining terms are just a few of the many topics covered.
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