All resources in Virtual Virginia

Adding and Subtracting Rational Expressions

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In this seminar you will continue your learning of rational expressions adding and subtracting them as stand alone problems, as well as in real-world situations  You will continue to use strategies for simplifying complex situations into more solvable situations.StandardsCCSI: HS: Algebra: HSA-SSE.A. Interpret the structure of expressions.CCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.

Material Type: Lesson Plan

Author: Tracy Rains

Multiplying and Dividing Rational Expressions

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In this seminar you will learn what rational expressions are and how to work with them.  You will also be able to recognize real-world situations that involve rational expressions and how to apply the use of rational expressions to a variety of day-to-day situations.  You will come to understand strategies for taking complex situations and simplifying them in order to find solutions for them.StandardsCCSI: HS: Algebra: HSA-SSE.A. Interpret the structure of expressions.CCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.

Material Type: Lesson Plan

Author: Tracy Rains

Operations With Radical Expressions

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This seminar will teach you how to perform the four basic mathematical operations on expressions containing radicals. It will also show you how to rationalize the denominator of a fraction that contains radicals. You will apply your knowledge of factorization and perfect squares of both integers and variables in order to simplify the radicals. You will extend your knowledge of simplifying expressions to include those that contain radicals. You will rationalize denominators in order to place expressions in simplest radical form.StandardsCC.2.2.8.B.1Apply concepts of radicals and integer exponents to generate equivalent expressions.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Simplifying Square Roots

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In this seminar you will learn how to simplify square roots whose radicands contain factors that are perfect squares. You will learn how to perform these operations on both integers and variables. You will be able to do this by learning how to identify factors that are perfect squares.  These will be necessary skills as you continue to perform operations that contain radical expressions.   StandardsCC.2.2.8.B.1Apply concepts of radicals and integer exponents to generate equivalent expressions.

Material Type: Lesson Plan

Authors: Bonnie Waltz, Deanna Mayers, Tracy Rains

Simplifying Radical Expressions

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In this seminar you will learn what radical expressions are and how to simplify them.  You will also be able to recognize real-world situations that involve radical expressions and how to apply the use of radical expressions to a variety of day-to-day situations you may face as you get older.  You will come to understand strategies for taking complex situations and making them more simple in order to find solutions for them.StandardsCCSI: HS: Algebra: HSA-SSE.B. Write expressions in equivalent forms to solve problems.CCSI:  HS: Algebra: HSA-APR.D. Rewrite rational expressions

Material Type: Lesson Plan

Author: Tracy Rains

Factoring Monomials

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In this seminar you will learn how to factor monomials using prime factorization. You will apply prior knowledge about factoring integers. You will use the techniques learned in this seminar to factor polynomials with multiple terms as you move forward. When factoring monomials using this method, you will identify what product of prime numbers and variables will create the expression. This seminar will also begin finding the greatest common factor among multiple monomials, which is a skill that will be used moving forward on polynomials with multiple terms.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomialsCC.2.2.HS.D.6Extend the knowledge of rational functions to rewrite in equivalent forms.

Material Type: Lesson Plan

Author: Tracy Rains

Factoring Polynomials: Common Factor

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In this seminar you will learn how to factor polynomials by looking for a common factor. You will apply the concepts of factoring integers, as well as factoring monomials and looking for the greatest common factor among terms. The techniques learned in this seminar will allow you to factor polynomials with multiple terms, and find solutions using factoring.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomialsCC.2.2.HS.D.6Extend the knowledge of rational functions to rewrite in equivalent forms

Material Type: Lesson Plan

Author: Tracy Rains

Factoring Quadratics

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In this seminar you will learn how to factor quadratic equations. You will apply the concepts of factoring integers, factoring monomials, and looking for the greatest common factor among terms. The techniques learned in this seminar will allow you to use factoring to find solutions to quadratics and help with graphing.StandardsCC.2.2.HS.D.3Extend the knowledge of arithmetic operations and apply to polynomialsCC.2.2.HS.D.6Extend the knowledge of rational functions to rewrite in equivalent forms.CC.2.2.HS.C.5Construct and compare linear, quadratic, and exponential models to solve problems

Material Type: Lesson Plan

Author: Tracy Rains

Statistics Project: Sampling, Standard Deviation & Z-Scores

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In this statistics project, students will begin by sampling a population to answer their own designed question.  They will then use their sample to graph, find the mean and standard deviation, and illustrate their understanding of normal distribution.  They will then manipulate their data to make it "normal" and, after finding new samples, analyze the associated z-score and percents of that new data.

Material Type: Lesson Plan

Author: Melissa Hesterman