According to the GED testing service, test takers struggle with “applying rules …
According to the GED testing service, test takers struggle with “applying rules of exponents in numerical expressions with rational exponents to write equivalent expressions with rational exponents.” (https://www.gedtestingservice.com/uploads/files/09738c12fe4e4accd9a16bab7cb99a3c.pdf ) Students do “fairly well” with simple squares and square roots, but there is a “sharp drop-off” when things get more complicated. These are questions included in the “no calculator” portion of the test. These skills are Mathematics Standards Level D in the College and Career Readiness Standards for Adult Education (https://www.educateiowa.gov/sites/files/ed/documents/CCRStandardsAdultEd.pdf ) under “Expressions and Equations.” This curriculum guide will offer opportunities to build the deeper understanding necessary to understand the rules of exponents such as (xm)n = xmn . Write and evaluate numerical expressions involving whole-number exponents. (6.EE.1) Know and apply the properties of integer exponents to generate equivalent numerical expressions. (8.EE.1)
In this seminar you will explore square roots and see how they …
In this seminar you will explore square roots and see how they are used throughout mathematics. You will see how “squaring” a number and “taking the square root” relate to each other. Also presented will be how to estimate square roots when given a number. You will have plenty of opportunity to try practice problems, review, and even create a short presentation. You will apply techniques you have learned involving estimating. You will use the techniques learned in this seminar to solve problems involving square roots moving forward and ultimately be able to verify solutions. When working with square roots, you will identify the patterns in perfect square numbers, as well as in techniques such as squaring and cubing numbers. By the end, you should have a better understanding of what a square root is and how to handle expressions that involve square roots.StandardsCC.2.1.HS.F.1Apply and extend the properties of exponents to solve problems with rational exponents.CC.2.2.HS.D.6Extend the knowledge of rational functions to rewrite in equivalent forms.
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