IM Algebra II: Unit 3 - Complex Numbers and Rational Exponents
In this unit, students use what they know about exponents and radicals to extend exponent rules to include rational exponents, solve various equations involving squares and square roots, develop the concept of complex numbers by defining a new number whose square is -1, and use complex numbers to find solutions to quadratic equations. To learn more about how to use GeoGebra’s fully digital and interactive curriculum, visit our IM 9–12 Math page.
3.1 Properties of Exponents
3.2 Square Roots and Cube Roots
3.3 Exponents That Are Unit Fractions
3.4 Positive Rational Exponents
3.5 Negative Rational Exponents
3.6 Squares and Square Roots
3.7 Inequivalent Equations
3.8 Cubes and Cube Roots
3.9 Solving Radical Equations
3.10 A New Kind of Number
3.11 Introducing the Number i
3.12 Arithmetic with Complex Numbers
3.13 Multiplying Complex Numbers
3.14 More Arithmetic with Complex Numbers
3.15 Working Backwards
3.16 Solving Quadratics
3.17 Completing the Square and Complex Solutions
3.18 The Quadratic Formula and Complex Solutions
3.19 Real and Non-Real Solutions