operations on powers with integral exponents (chapter 4) · foundations of mathematics and...
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FOUNDATIONS OF MATHEMATICS AND PRE-CALCULUS 10
Unit 4
Operations on Powers with Integral Exponents
(Chapter 4)
TAB
ME
HER
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Un
it 4
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CONTENTS
POCKET ME HERE
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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
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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
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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)
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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
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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
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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