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Introduce the learning objective and explain what the students will be able to do by the end of the lesson.

What do you already know about integer exponents and radicals?

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Remind students of what integer exponents are and how they are used.

Explain the importance of the properties of integer exponents and how they are used.

Introduce the concept of radicals and how they are used.

Explain what rational exponents are and how they relate to radicals.

Show how the properties of integer exponents can be extended to rational exponents.

Explain the additional properties of rational exponents and how they are used.

Provide examples of how to simplify expressions with rational exponents.

Give students time to practice simplifying expressions with rational exponents and provide feedback.

Explain how rational exponents can be used as a notation for radicals.

Provide examples of how to use rational exponents as a notation for radicals.

Give students time to practice using rational exponents as a notation for radicals and provide feedback.

Discuss some real-world applications of rational exponents and how they are used.

Summarize the key concepts of the lesson and emphasize their importance.

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.