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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.
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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
Khan Academy

Khan Academy: Approximating Square Roots

For Students 7th - 8th Standards
Practice finding the approximate value of square roots by thinking about perfect squares. 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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Sse Quadrupling Leads to Halving

For Teachers 9th - 10th Standards
This question provides students with an opportunity to see expressions as constructed out of a sequence of operations: first taking the square root of a denominator, then dividing the result of that operation into the numerator. Aligns...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Estimating Square Roots

For Teachers 8th Standards
This task asks students to estimate the square root of 800 without using a calculator. To do it, they must examine perfect squares that are higher and lower than 800. Aligns with 8.NS.A.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ns Placing a Square Root on the Number Line

For Teachers 8th Standards
This task develops students' number sense of squares and square roots. They are to find an approximation of a less obvious square root of a number to see where it would fall on a number line. To do this, they must examine perfect squares...
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.
Unit Plan
Khan Academy

Khan Academy: Simplify Square Roots

For Students 9th - 10th
Students solve simple square roots and receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Equations With Square Roots

For Students 7th
[Free Registration/Login may be required to access all resource tools.] Solve equations using square roots
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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.
Activity
Integrated Publishing

Integrated Publishing: Roots, Exponents, and Radicals

For Students 9th - 10th Standards
Information on powers, roots, exponents, and radicals.
Lesson Plan
Alabama Learning Exchange

Alex: What's My Number

For Teachers 6th - 8th
In this lesson, eighth grade students will learn the steps necessary to approximate the square roots of numbers that are not perfect squares. Students will use a number line as a visual aid to complete this task.
Lesson Plan
Alabama Learning Exchange

Alex: The Elephants Truncate Roots

For Teachers 6th - 8th Standards
Learners will learn the process of finding where the square root of 2 is on the number line by truncating the square of a number between 1 and 2. They will also work with other square roots to learn how to order them on the number line....
Handout
CK-12 Foundation

Ck 12: Algebra: Irrational Numbers and Radicals Study Guide

For Students 9th - 10th Standards
This comprehensive study guide highlights the main terms and formulas needed to review irrational numbers and radicals. Examples are included.
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Khan Academy

Khan Academy: Approximating Square Roots

For Students 8th
Practice finding the approximate value of square roots by thinking about perfect squares.
Website
Cool Math

Coolmath: Solving Quadratics the Square Root Trick

For Students 9th - 10th Standards
This CoolMath resource will help students solve quadratic equations with a square roots trick instead of through factoring.
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Khan Academy

Khan Academy: Simplify Square Roots

For Students 9th - 10th
Simplify square roots.
Handout
Math Open Reference

Math Open Reference: Radical Sign or Symbol

For Students 9th - 10th
Learn about radical signs or symbols with this resource which offers detailed explanations and multiple examples. Subjects covered include bar length and radical expressions. Links to related topics.
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Khan Academy

Khan Academy: Simplify Square Roots (Variables)

For Students 9th - 10th
Simplify square roots that contain variables in them.
Lesson Plan
Cuemath

Cuemath: Imaginary Numbers

For Students 9th - 10th Standards
In this lesson plan, you will learn about complex numbers and imaginary numbers. Included are solved examples and interactive questions for review.
Handout
Quia

Ixl Learning: Square Roots

For Students 7th - 9th Standards
Brush up on your math skills relating to square roots then try some practice problems to test your understanding.
Unit Plan
PBS

Pbs: Approximating Square Roots of Nonperfect Squares

For Students 6th - 8th
Visualize a strategy for approximating the square roots of nonperfect squares through modeling. This video focuses on a ratio, the number of extra tiles over the number of tiles for the next square that will give you a fractional...
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Khan Academy

Khan Academy: Simplify Square Root Expressions

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