Exponents
18 Units, 25 Skills
Exponents - Intro
Unit 1
Exponents - Practice
Unit 2
Exponents - Multiplication - Intro
Unit 3
Squares and Square Roots - Intro
Unit 4
Exponents - Division - Intro
Unit 5
Exponents - Advanced
Unit 6
Exponents - Multiplication and Division - Practice
Unit 7
Squares and Square Roots - Practice
Unit 8
Exponents - Multiplication and Division - Advanced
Unit 9
Exponents - Power Law - Intro
Unit 10
Squares and Square Roots - Advanced
Unit 11
Exponents - Power Law - Practice
Unit 12
Exponents - Negative Bases and Exponents - Intro
Unit 13
Exponents - Fractional Bases and Exponents - Intro
Unit 14
Exponents - Negative Bases and Exponents - Practice
Unit 15
Exponents - Fractional Bases and Exponents - Practice
Unit 16
Exponents - Negative and Fractional Bases and Exponents
Unit 17
Exponents - Negative, Fractional, and Power Law
Unit 18
This math unit begins by developing students' understanding of exponent multiplication and division, especially focusing on operations involving negative exponents. Students first practice multiplying positive by negative exponents, followed by dividing negative exponents which lead into simplification tasks involving negative to negative and negative to positive exponential operations. The unit progresses to more complex applications of the exponent power laws, understanding different bases including variable, prime, and composite bases. Students engage with multiple exponent layers and practice resolving expressions where variables are raised to negative and fractional powers. This includes tasks like simplifying equations with bases raised to another power and calculating resultant exponents when similar terms are multiplied. Towards the end, students apply these exponent operations to solve for unknown exponents in algebraic expressions involving different types of bases and powers. They work on reducing complex exponential expressions and solving equations that equate expressions with variable and known powers, enhancing their exponent manipulation skills crucial for algebraic proficiency.
Skills you will learn include:
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Topic 19