Square Roots Teacher Resources

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There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two known square roots and either side of the unknown root. From there, let your number crunchers decide how they want to proceed. Using a calculator will not take away from the objective.
Introducing square roots into the quadratic equation mix, Sal takes care to address the ways viewers might go about solving the problems, both correctly and incorrectly. The video is an integral step in not only Sal's algebra series, but also in a developing math education.
This lesson has a number of fun worksheets for a pre-algebra or beginning algebra class. The main emphasis of this lesson is functions, formulas, and looking at square roots. It is the third lesson in a series on solving for unknowns, which you can find if you look first at the "Getting Started" link.  This lesson, in particular, focuses on developing an understanding between the inverse relationship of squaring a number and taking its square root, finding probabilities, and creating linear equations and solving problems.
A great resource for any math teacher covering multiples, factors or square roots; this worksheet walks young mathematicians through the logic behind factoring and square roots with a systematic set of problems which gradually increase in their level of difficulty and abstraction. Problem solving. multiple choice and word problems are intermixed with mathematical rules, definitions and fun facts to create a thorough and engaging activity. This worksheet also includes a brief extension section
Find the square root of a number that is not a perfect square, without using a calculator. In this video, the instructor will show how to estimate to get the approximate value of the square root of a number that is not a perfect square. It's not as hard as it might seem.
The instructor demonstrates how to find the square root of a fraction. She simply explains that you separate the numerator and denominator, meaning you find the square root of the numerator, and then you find the square root of the denominator, and put it all back together.
If your class has a grasp of square roots, but is having difficulty with the product property of square roots, this video might be for you! In the video, an instructor completes a short proof of the property, defines the property, and provides examples of the property in action. This property, especially useful when simplifying square roots, will help learners solve many problems.
Before defining the quotient property of square roots, the teacher in this video works through an example that shows how the property is possible. She then goes through a couple more examples of the property in action. Show this resource as an introduction to the quotient property of square roots or as a reteach for struggling class members.
In this square roots worksheet, students solve problems with radicals.  They evaluate square roots.  This six-page worksheet contains 15 problems.  Answers, notes,and examples are provided.
Students find patterns relating the lengths of the sides of squares to their areas. In this squares and square roots lesson plan, students draw squares and find their areas. They estimate the sides of square when given the area. Students use the Pythagorean Theorem to check their work. The culminating assignment, requires students to write a short paper about squares.
In this square roots worksheet, 8th graders solve 14 different types of problems to include determining the square root of a number of problems, determining the area of a rectangle and the length of a side of a square with the same rectangle. They also determine the length of each unknown side of the illustrated right-angled triangles and then, find the length of a diagonal of each rectangle. Finally, students determine the value of problems and write their answer in fraction form.
In this square root worksheet, learners 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 and approximately 30 problems.
Learners graph square root functions by using transformation. In this square root functions lesson plan, students also describe the vertical stretch, reflection, and horizontal and vertical shift of the function.
Students solve quadratic equations using the square root. In this algebra lesson, students identify the different properties-of a parabola and the x and y intercepts. They relate parabolas to the real world.
Are squaring and taking the square root opposite operations? Are there other operations that are opposites? Yes, addition and subtraction are opposite operations. So are multiplication and division. The instructor illustrates how squaring and taking the square root are opposite operations.
What is the relationship between squaring a number and taking the square root of a number? The instructor in the video explains the relationship of perfect square and its square root integer.
You have been given a square root and need to compare that to a decimal number to find out which one is bigger. How can you make that comparison? One way to do this is to find the square root of the square root number and then compare it to the decimal number. Another way, and easier to do, is to square both numbers. Check it out.
There are many methods that can be used to solve a quadratic equation. The teacher demonstrates how to use the square root method to solve this equation. But wait, how can there be two solutions? And how can one of them be a negative number? Watch this video and the teacher will clarify these things.
Discuss the definition for a simplified form for a square root. Middle schoolers analyze different forms of a square root, the Product Property of Square Roots, and complete a worksheet.
Students use a dot table to draw squares and then describe the diagonals using the square root formula. In this square root lesson plan, students use the Pythagorean Theorem to check their answers.

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