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Square roots Teacher Resources
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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.
Middle and high schoolers investigate all the different places in math that square root is present. In this geometry lesson, pupils discuss square roots as it relates to a right triangle and construction. They go over altitude, rise, base, and parts of a right triangle to solve sing the Pythagorean Theorem.
In this roots and the Pythagorean Theorem worksheet, learners solve 15 different types of problems related to square roots and applying the Pythagorean Theorem. They first determine the square root of each number and then, the cube root. Pupils also determine the length of each unknown side in the illustrations shown and determine the sets of numbers that can be the lengths of the sides of a right triangle.
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 the Pythagorean Theorem to check their work. The culminating assignment, requires students to write a short paper about squares.
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
After discussing the difference between rational and irrational numbers, the class pratices simplifying, adding, and subtracting radical expressions. They play a game which involves passing around cards until they have matching hands of simplified, unsimplified, and decimal expressions equivalent to each other. The lesson concludes with a discussion of the differences between squares and 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.
Use this lesson to help your ninth graders read, write, model, order, and define scientific notation, square roots, and powers. They define key vocabulary terms, observe and demonstrate how to write out powers, square roots, and numbers in scientific notation, and complete a worksheet.