Square Roots Teacher Resources
Find Square Roots educational ideas and activities
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Solving Quadratic Equations by Square Roots
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.
Calculating the square root of 2
Does a calculator give you the exact value of the square root of 2? Here, learners must decide if 1.414236 is equal to the square root of 2. They must also explain why the square root of 2 could never be equal to a terminating decimal. Learners must be familiar with rational and irrational numbers before beginning.
Placing a Square Root on the Number Line
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.
Though Sal expects that viewers are "reasonably familiar" with square roots, he takes this opportunity to explain some of the notation, and how to graph square root functions. He uses a graphing calculator from my.hrw.com/math06 to illustrate the relationship between square roots and parabolas, and how to translate the equations to different graphs.
Solving the Unknown with Algebra: Lesson 3: Functions and Formulas/Square Roots
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.
Number Sense and Numeration: Multiples, Factors and Square Roots
A great resource for any math teacher covering multiples, factors or square roots; this activity 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 activity also includes a brief extension section
What's My Number?
Eighth graders discover the steps necessary to approximate the square roots of numbers that are not perfect squares. There are all sorts of support worksheets embedded in the plan, and some websites for your class to access to further practice by engaging with interactive math programs. An outstanding resource that combines technology with old-fashioned teaching!
Square Roots And Real Numbers
Sal works through several problems involving rational and irrational numbers, and shows how to find the difference. This video is a good stepping stone for those who are preparing to take on more challenging algebra work.
Chapter 9: Square Roots
In this square roots learning exercise, students solve problems with radicals. They evaluate square roots. This six-page learning exercise contains 15 problems. Answers, notes,and examples are provided.
Number Sense and Numeration: Square Roots
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.
Squares and Square Roots
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.
Concept: Square Root
In this square root worksheet, young scholars 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.
What's A Quadratic? Solving Equations Using the Square Root
Young scholars 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.
How Do You Figure Out if a Square Root is Bigger than Another Number?
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.
How Do You Find the Square Root of a Fraction?
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 then you put it all back together.
What is the Product Property of Square Roots?
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.
What is the Quotient Property of Square Roots?
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.
Proof: Hyperbola Foci
In a video that is quite involved, algebraically, Sal proves that the distance of the foci from the center of a hyperbola is the square root of a2+b2. Since the algebra shown here is challenging, this video might be appropriate as an enrichment activity for advanced learners or an advanced class.
SAT Prep: Test 2 Section 6 Part 2
Reviewing the last problem from the previous video because he feels that he "rushed it," Sal again explains the concept of ratios as it applies to problem 6 on the practice SAT (page 472 in The Official SAT Study Guide). Additional problems in this presentation deal with square roots, geometric triangles, and exponents. The video details the "slow way" versus "the fast way" to arrive at the same answer for number 9.
Graphing Square Root Functions
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.