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Common Core Sheets

Common Core Sheets: The Number System 8.ns.2 Worksheets

For Teachers 8th Standards
Print or create worksheets to assess students' understanding of radicals, square roots, and irrational numbers.
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Khan Academy

Khan Academy: Simplify Roots of Negative Numbers

For Students 9th - 10th Standards
Rewrite square roots of negative numbers as imaginary numbers.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Irrational Square Roots

For Students 8th Standards
[Free Registration/Login may be required to access all resource tools.] Find approximate solutions to equations involving irrational numbers.
Activity
Texas Instruments

Texas Instruments: Roots

For Teachers 6th - 8th
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".
Unit Plan
Khan Academy

Khan Academy: Quadratics by Taking Square Roots

For Students 9th - 10th
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: N Rn and 8 Ns: Calculating the Square Root of 2

For Teachers 9th - 10th
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.
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Khan Academy

Khan Academy: Simplify Square Root Expressions

For Students 9th - 10th
Practice simplifying expressions with multiple radical terms.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Solving Quadratic Equations by Finding Square Roots

For Students 9th - 10th
Twenty-one problems where students practice solving quadratic equations by factoring.
Unit Plan
Math Planet

Math Planet: Completing the Square

For Students 9th - 10th Standards
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)
Interactive
Other

Answermath: Raiz

For Students 9th - 10th
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...
Handout
Wolfram Research

Wolfram Math World: I

For Students 9th - 10th
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...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Complex Numbers

For Teachers 9th - 10th Standards
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...
Handout
Paul Dawkins

Paul's Online Notes: Algebra: Quadratic Equations Part I

For Students 9th - 10th
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations by factoring and the square root property.
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Khan Academy

Khan Academy: Square and Cube Challenge

For Students 7th - 8th Standards
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.
Activity
Texas Instruments

Texas Instruments: Study Cards

For Teachers 6th - 8th
Students use the StudyCard stack to review their understanding of squares and square roots.
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Quadratic Equations

For Students 9th - 10th Standards
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...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Nth Roots

For Students 9th - 10th
[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.
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Khan Academy

Khan Academy: Roots of Decimals and Fractions

For Students 6th - 8th
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.
Unit Plan
Sophia Learning

Sophia: Introduction to Roots and Radicals

For Students 9th - 10th
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.
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Khan Academy

Khan Academy: Graphs of Square and Cube Root Functions

For Students 9th - 10th Standards
Given the formula of a square-root or a cube-root function, find the appropriate graph.
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Khan Academy

Khan Academy: 4th & 5th Roots

For Students 9th
Radicals are also known as roots. The most common are square root and cube root, but there are more.
Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Properties of Square Roots

For Students 9th - 10th Standards
Find a quick, concise explanation of the properties of square roots. An example is given and clearly explained for each property.
Handout
Math Open Reference

Math Open Reference: Root (Of a Number)

For Students 9th - 10th Standards
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.
Activity
Other

Dan's Math: Basic Skills Topics

For Students 9th - 10th Standards
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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