Ch 11: McDougal Littell Algebra 1 Chapter 11: Radicals & Geometry Connections

About This Chapter

The Radicals & Geometry Connections chapter of this McDougal Littell Algebra 1 Companion Course helps students learn the essential lessons associated with radicals and geometry connections. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Radicals & Geometry Connections textbook chapter.

How It Works:

  • Identify the lessons in the McDougal Littell Radicals & Geometry Connections chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the radicals and geometry connections topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • What radical functions are
  • How to simplify expressions with square roots
  • Radicands and radical expressions
  • Ways to evaluate square roots of perfect squares
  • How to factor radical expressions
  • Methods to graph the derivative from any function
  • Ways to simplify square roots of powers in radical expressions
  • How radical expressions are multiplied and simplified
  • Steps to solve radical equations with either one or two radical terms
  • The Pythagorean theorem, its converse and special cases
  • How the distance and midpoint formulas are used

McDougal Littell is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

14 Lessons in Chapter 11: McDougal Littell Algebra 1 Chapter 11: Radicals & Geometry Connections
Test your knowledge with a 30-question chapter practice test
What is a Radical Function? - Definition, Equations & Graphs

1. What is a Radical Function? - Definition, Equations & Graphs

Radical functions operate very differently than regular functions. This lesson covers the definitions, equations, and graphs that you will need to know to be successful with radical functions.

Simplifying Expressions Containing Square Roots

2. Simplifying Expressions Containing Square Roots

In order to write radical expressions correctly, they have to be written in their simplest form. This lesson will show you how to simplify expressions containing numbers and variables inside a square root.

Radicands and Radical Expressions

3. Radicands and Radical Expressions

It's easy to see that funky radical symbol and panic just a little bit. There are so many rules that go along with it, it's hard to keep up with them all. This lesson will help by describing what you should do when you are faced with a square root.

Evaluating Square Roots of Perfect Squares

4. Evaluating Square Roots of Perfect Squares

Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.

Factoring Radical Expressions

5. Factoring Radical Expressions

Watch this video lesson to learn how to apply the product rule to your radical expressions. Learn how this product rule actually helps you to simplify your radicals as well.

Graphing the Derivative from Any Function

6. Graphing the Derivative from Any Function

When you know the rules, calculating the derivates of equations is relatively straightforward, although it can be tedious! What happens, though, when you don't know the function? In this lesson, learn how to graph the derivative of a function based solely on a graph of the function!

Simplifying Square Roots of Powers in Radical Expressions

7. Simplifying Square Roots of Powers in Radical Expressions

Simplifying radical expressions that contain powers can be tricky. There are a few simple rules that will help you perform these simplifications with ease. This lesson will teach you how.

Multiplying then Simplifying Radical Expressions

8. Multiplying then Simplifying Radical Expressions

Multiplying 2 or more radical expressions uses the same principles as multiplying polynomials, with a few extra rules for dealing with the radicals. This lesson will teach you how to multiply and then simplify radical expressions.

Solving Radical Equations: Steps and Examples

9. Solving Radical Equations: Steps and Examples

Solving radical equations is not any more difficult than solving other algebraic equations. This lesson will show you how to solve equations containing a square root and give some real-world examples.

Solving Radical Equations with Two Radical Terms

10. Solving Radical Equations with Two Radical Terms

Solving equations with two radical terms takes some patience and care, but it really is not difficult. This lesson will show you the steps to solve these more complicated equations plus give you some examples to follow.

The Pythagorean Theorem: Practice and Application

11. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

The Pythagorean Theorem: Converse and Special Cases

12. The Pythagorean Theorem: Converse and Special Cases

The Pythagorean Theorem is a famous theorem for right triangles. Watch this video to learn how the Pythagorean Theorem relates to the law of cosines and how the converse of the Pythagorean Theorem can help you identify right triangles.

How to Use The Distance Formula

13. How to Use The Distance Formula

You can't always rely on your smartphone to tell you how far you need to travel to get from point A to point B. The distance formula will tell you the distance between any two points on a graph. In this lesson, you'll learn where it comes from and how to use it!

How to Use The Midpoint Formula

14. How to Use The Midpoint Formula

The formula for the midpoint of a line segment will tell you how to find the middle of any line segment on the x, y plane. Learn about this formula and see how it is used to find the midpoint of a line segment.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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