FOUNDATIONS OF MATHEMATICS AND PRE-CALCULUS 10

Unit 4

Operations on Powers with Integral Exponents

(Chapter 4)

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CONTENTS

POCKET ME HERE

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 1: NUMBER CLASSIFICATION Natural Numbers ( ): only positive numbers, no decimals or fractions, does not include 0

Examples:

Whole Numbers ( ): only positive numbers, no decimals or fractions, includes 0

Examples Integers ( ): negative and positive whole numbers

Examples Rational Numbers ( ): decimal representation terminates or repeats. Negative and positive. Can be

written as a fraction.

Examples Irrational Numbers ( ): numbers with a decimal representation that does not terminate nor repeats.

Negative and positive. Can not be written as a fraction.

Examples Real Numbers ( ): all numbers Imaginary Numbers?!?

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PRACTICE: CLASS SORTING ACTIVITY

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 2: MIXED AND ENTIRE RADICALS

d) √𝟐𝟔

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“Tried and True” Method vs. “Fast” Method

√𝟐𝟎𝟎 √𝟐𝟎𝟎 √𝟐𝟎𝟎 √𝟐𝟎𝟎 Example 2: Write a simplified radical as an entire radical

4√𝟏𝟐𝟓

Example 3: Sort mixed and entire radicals from least to greatest

PRACTICE: p. 130, #4-7, 9

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 3: EXPONENT LAWS REVIEW

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PRACTICE

A)

B)

C)

D)

E)

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 4: FRACTIONAL EXPONENTS

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PRACTICE: p. 121, #1, 3a-e, 4bdf, 5

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 5: NEGATIVE EXPONENTS

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PRACTICE: p. 110, #3-8, p. 121, #3f, 4ace

J. McKENZIE FOUNDATIONS OF MATHEMATICS & PRE-CALCULUS 10

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LESSON 6: APPLYING EXPONENT LAWS

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CHALLENGE QUESTIONS: Simplify and write the answer with positive exponents only

PRACTICE: EXPONENTS & RADICALS HANDOUT MORE PROPERTIES OF EXPONENTS HANDOUT