Radicals
15 Units, 26 Skills
Exponents - Multiplication and Division - Advanced
Unit 1
Squares and Square Roots - Advanced
Unit 2
Exponents - Power Law - Practice
Unit 3
Exponents - Negative Bases and Exponents - Intro
Unit 4
Exponents - Fractional Bases and Exponents - Intro
Unit 5
Radicals - Simplifying Intro
Unit 6
Exponents - Negative Bases and Exponents - Practice
Unit 7
Exponents - Fractional Bases and Exponents - Practice
Unit 8
Radicals - Simplifying Practice
Unit 9
Exponents - Negative and Fractional Bases and Exponents
Unit 10
Exponents - Negative, Fractional, and Power Law
Unit 11
Radicals - Simplifying Advanced
Unit 12
Radicals - Addition and Subtraction Intro
Unit 13
Radicals - Multiplication Intro
Unit 14
Radicals - Division Intro
Unit 15
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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