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Interactive
CK-12 Foundation

Square Roots and Irrational Numbers: Estimating Radicals

For Students 8th - 10th
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between by...
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Lesson Plan
EngageNY

Square Roots

For Students 8th Standards
Investigate the relationship between irrational roots and a number line with a resource that asks learners to put together a number line using radical intervals rather than integers. A great progression, they build on their understanding...
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Lesson Plan
Illustrative Mathematics

Estimating Square Roots

For Teachers 7th - 9th Standards
No calculators! Assure your learners that they can find the square root of a large number. All they need are two known squares close by and a table. Come up with an additional practice and your number crunchers will have it mastered in...
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Interactive
CK-12 Foundation

Tangent Line Approximation: Estimating Square Roots

For Students 11th - Higher Ed
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
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Handout
Charleston School District

Evaluation of Roots

For Students 8th Standards
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
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Worksheet
Curated OER

Estimating Square Roots

For Students 9th
In this square roots worksheet, 9th graders solve and complete 11 different problems that include estimating various square roots. First, they determine the value of each given square root to the nearest tenth. Then, students find the...
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Lesson Plan
Willow Tree

Simplifying Square Roots

For Students 7th - 10th Standards
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
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Lesson Plan
Curated OER

Squares and Square Roots

For Teachers 8th - 10th
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson, students draw squares and find their areas. They estimate the sides of square when given the area. Students use...
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Worksheet
Curated OER

Finding and Estimating Square Roots

For Students 9th - 11th
In this algebra instructional activity, students solve the square root through estimation and through the calculator. They graph their solutions on a number line. There are 4 questions with an answer key.
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Lesson Plan
Curated OER

Babylonian Square Roots

For Teachers 6th - 10th
Students are introduced to a method for finding square roots used by the Babylonian people of Mesopotamia. The method involves dividing and averaging, over and over, to find a more accurate solution with each repeat of the process.
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Worksheet
Curated OER

Square Roots and Real Numbers

For Students 9th
In this square roots and real numbers activity, 9th graders solve and complete 12 different problems that include types of numbers. First, they find each square root, rounding to the nearest hundredth. Then, students evaluate each...
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Lesson Plan
Curated OER

Concept: Square Root

For Teachers 7th - 10th
In this square root worksheet, students solve problems with exponents. They find the square root of given numbers. Students ill in missing numbers on a radical clock face. This eleven-page worksheet contains notes, detailed instructions...
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Handout
Charleston School District

Estimating Values of Expressions

For Students 8th Standards
You can't evaluate an irrational root expression without a calculator—or can you? Scholars estimate the value of roots within an expression to approximate the value of the expression. Expressions include a mix of square roots and whole...
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Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians busy...
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Lesson Plan
Curated OER

Square Roots, Number Classification, Ordering & Graphing

For Teachers 9th
Ninth graders identify numbers as rational or irrational. Using calculators estimation, and factoring methods, 9th graders compute the square root of numbers. They graph numbers in sequential order and round numbers integers to the...
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Lesson Plan
EngageNY

Rational Exponents—What are 2^1/2 and 2^1/3?

For Teachers 9th - 12th Standards
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...
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Worksheet
Open Text Book Store

Arithmetic for College Students: Worksheets

For Students 5th - 7th Standards
Loaded with concepts ranging from multiplying decimals to converting units to solving problems using the order of operations, a thorough practice packet is perfect for a fifth or sixth grade math classroom.
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Assessment
Charleston School District

Pre-Test Unit 7: Real Numbers

For Students 8th - 9th Standards
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...
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Worksheet
Curated OER

Four Estimating the Area of Small Objects Problems

For Students 5th - 8th
For this estimating area worksheet, students work with their families to draw four small objects found around their house and estimate the area of each object. 
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Handout
Charleston School District

Comparing and Ordering Irrational Numbers on a Number Line

For Students 8th - 9th Standards
Estimating the value of numbers is much harder than it sounds! Scholars compare and order the value of numbers presented in different forms including fractions, decimals, roots, integers, and pi. This builds on the previous lessons in...
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Worksheet
Mathed Up!

Estimation

For Students 4th - 6th Standards
Reinforce estimation and the four operations—addition, subtraction, multiplication, and division—with eight page, 15 problem independent practice exercise.
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Assessment4:42
Mathed Up!

Using a Calculator

For Students 8th - 11th
Here's a video that presents several numerical expressions to be evaluated using a calculator.Viewers come to realize that sometimes it is not just a matter of punching in the numbers, but they also need to be concerned about how the...
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Worksheet
Curated OER

The Babylonian Algorithm, Limits and Rates of Change

For Students Higher Ed
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
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Interactive
Curated OER

Simple Past-Positive Sentences #2

For Students 4th - 6th
In this simple past tense worksheet, students use words and phrases given to form positive sentences in the given tense. Answers may be submitted online for review. ESL appropriate but not exclusive.