Ch 7: Common Core HS Algebra: Rational and Radical Expressions and Equations

Find lessons for high school algebra. These lessons meet the Common Core Mathematics standards for rational and radical expressions and equations (CCSS.Math.Content.HSA-APR.D.7; CCSS.Math.Content.HSA-REI.A.2).

Standard: Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. (CCSS.Math.Content.HSA-APR.D.7)

Standard: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. (CCSS.Math.Content.HSA-REI.A.2)

Students who have mastered these standards are able to add, subtract, multiply and divide rational equations. They can also explain the reasoning behind solving radical and rational equations, as well as provide examples of solutions for radical and rational equations.

Lessons in this standard cover concepts such as:

• Solving rational equations
• Explaining the difference between rational and radical equations

Students demonstrate mastery of these standards by expertly using the five steps for solving a rational equation. Mastery of these standards supports their future understanding of expressions containing nth roots, along with equations that have fractions with unknown variables.

How to Use These Lessons in Your Classroom

Here are some tips for how to use the lessons to support instruction in these standards:

Adding, Subtracting, Multiplying and Dividing Rational Equations Lessons

Develop a worksheet and pass it out to your students. Have the students watch the video lessons regarding subtracting, dividing, multiplying and adding rational equations. Instruct the students to fill out the worksheet for homework. Spend the next day explaining how to correctly answer each question.

Solving Rational Equations Lessons

Create and pass out a worksheet that is made up entirely of rational equations. Show the video lesson 'How to Solve a Rational Equation' and instruct the students to complete the worksheet while watching the video. Call on students to come up to the chalkboard to work out equations from the worksheet. Ask them to explain the steps they're taking to find their answers.

Require your class to watch the 'How to Solve a Radical Equation' video lesson. As a class, take our video lesson's supplementary quiz. Spend time with the class watching the follow up video lesson called 'Radical Equations: Practice Problem.' Provide your students step-by-step guidance on how to answer this lesson's questions. Have your students spend the last part of the class taking the quiz for the practice problems lesson.

7 Lessons in Chapter 7: Common Core HS Algebra: Rational and Radical Expressions and Equations
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Chapter Practice Exam
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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