Integrated Math II Unit 2 Packet - Radicals and Complex Numbers (January, Dagtekin) PDF

Division of Complex Numbers Conceptual Explanation  Division of Complex Numbers by Rationalizing Denominators Conceptual Explanation Rationalizing Denominators containing i Just as you are not allowed to leave a radical in a denominator of a fraction, you are not allowed to leave an i in the den...

Division of Complex Numbers Conceptual Explanation  Division of Complex Numbers by Rationalizing Denominators Conceptual Explanation Rationalizing Denominators containing i Just as you are not allowed to leave a radical in a denominator of a fraction, you are not allowed to leave an i in the denominator. This is because i is a radical!!  Division of Complex Numbers Practice Problems Directions: Simplify the expressions below. Be sure to show your work!!  Division of Complex Numbers Practice Problems (Part 2) Directions: Simplify the expressions below. Be sure to show your work!!  Division of Complex Numbers Unit 2 Homework 8 Directions: Simplify the expressions below. Be sure to show your work!!  Graphing Complex Numbers Conceptual Explanation Due to their unique nature, complex numbers cannot be represented on a normal set of coordinate axes. In 1806, J. R. Argand developed a method for displaying complex numbers graphically as a point in a coordinate plane. His method, called the Argand diagram, establishes a relationship between the x-axis (real axis) with real numbers and the y-axis (imaginary axis) with imaginary numbers. In the Argand diagram, a complex number a + bi is the point (a,b) or the vector from the origin to the point (a,b). Graph the complex numbers: 1. 3 + 4i 2. 2 - 3i 3. -4 + 2i 4. 3 (which is really means ) 5. 4i (which is really means ) The Parallelogram Rule for Complex Addition The parallelogram rule for complex addition says that if you are adding two complex numbers, then the sum of can be represented by the diagonal of the parallelogram that can be drawn using the two original vectors as adjacent sides. (1+4i)+(5+i)=6+5i Graphing Complex Numbers Conceptual Graphic  Graphing Complex Numbers Practice Problems Add 3 + 3i and -4 + 2i graphically. Subtract 3 + 4i from -2 + 2i Graphing Complex Numbers Practice Problems (Part 2)  Graphing Complex Numbers Practice Problems (Part 3) Find the Complex Number for each graph shown.  Graphing Complex Numbers Unit 2 Homework 9 Directions: Graph the Complex Numbers on the Complex Coordinate Plane.  Graphing Complex Numbers Unit 2 Homework 9 (Part 2) Directions: Graph the Complex Numbers on the Complex Coordinate Plane.  Graphing Complex Numbers Unit 2 Homework 9 (Part 3) Directions: Add or Subtract the Complex Numbers Graphically. Represent the solution on the graph as well and be sure to draw the resulting parallelogram. 1. (3 + 4i) + (5 – 3i) = 2. (2+ 3i) – (4 – 2i) = 3. (2 – 4i) – (-2 + 3i) = 4. (5 + 6i) + (4 – 2i) = 5. (3+ 8i) – (12 – 10i) = 6. (1 – 11i) – (-4 + 9i) =  Graphing Complex Numbers Unit 2 Homework 9 (Part 4) Directions: Find the Complex Number for each graph shown. Unit 2 Review Graphics on Complex Numbers Unit 2 Review Problems for Summative Assessment on Complex Numbers Unit 2 Review Problems for Summative Assessment on Complex Numbers (Part 2)  Unit 2 Review Problems for Summative Assessment on Complex Numbers (Part 3) 2. 3. gfgdg  Unit 2 Review Problems for Summative Assessment on Complex Numbers (Part 4) 5. 6. 7. fdfdf 8. 9. 10. 11. 12. 13. 14. Unit 2 Review Problems for Summative Assessment on Complex Numbers (Part 5) 15. 16. 17. 18. 19. 20. 21.22. Unit 2 Review Problems for Summative Assessment on Complex Numbers (Part 6) 23. 24.