ComplexNumbers_Part 1
0 likes315 views
This document provides an overview of imaginary and complex numbers. It defines imaginary numbers as numbers whose squared value is a real number greater than zero. Complex numbers are defined as numbers of the form a + bi, where a and b are real numbers and i = √-1. Examples are provided of adding, subtracting, multiplying, and dividing complex numbers. Homework is assigned from the textbook on these topics.
ComplexNumbers_Part 1
- 1. Algebra 2/Trigonometry Imaginary “i” & Complex Numbers Mrs. Crespo SJHS 2013-2014
- 2. What number multiplied by itself two times equals the radicand? What is the square root of the following? How about this? Talk about square roots… Rafael Bombelli • imaginary number • there is no number on the number line that can be squared to make -1 Renee Descartes
- 8. SIMPLIFY
- 9. CalculatorA: P208 Write the sum or difference in terms of i.
- 10. Your turn.
- 12. An imaginary number is a complex number whose squared value is a real number greater than zero.
- 13. A COMPLEX NUMBER IS A NUMBER OF THE FORM a + bi WHERE a AND b ARE REAL NUMBERS AND i =
- 14. graph
- 15. graph
- 16. Simplify (Add) (4+3i)+(2+5i) Your Turn: (3-5i)+(2+i)
- 17. Simplify (Subtract) (6+7i) - (2+3i) Your Turn: (10-12i) - (12+7i)
- 18. Simplify (Multiply) (6+7i)(2+3i) Your Turn: (10-12i)(12+7i) 9(4+6i)
- 19. Simplify Imaginary Terms (Divide)
- 20. Complex Numbers and Conjugates Complex Number – 4 + 2i – 10 – 6i – 7i + 5 Complex Conjugate
- 21. Simplify (Divide with Conjugates) (1+i) ÷ (3+2i) Your Turn: (10+6i) ÷ (5-4i)
- 22. Homework Posted in Moodle Front & Back of Class AMSCO Txtbook Pages 208, 215,241
- 24. PowerPoint by Mrs. Crespo SJHS 2013-2014
Editor's Notes
- #2: Anticipatory Set: 1. To prepare the students for the actual lesson on imaginary units and complex numbers, the PowerPoint cover slide is presented. •Ask the students what they observe. Answers vary from noticing the complex number symbol, the graph, to the artwork. Then, inform the student that all the objects on the slide have significant meaning in our pursuit of understanding imaginary “i” and complex numbers.
- #4: Presentations are a powerful communication medium.
- #5: …to launch products,
- #6: The first rule is: Treat your audience as king.
- #7: …align employees,
- #8: …increase company value,
- #9: …and propel
- #10: …five simple rules for creating world-changing presentations.
- #11: And practice, practice, practice.
- #12: And practice, practice, practice.
- #13: For more than 20 years, Duarte has developed presentations…
- #14: …global causes.
- #15: Along the way we’ve discovered…
- #16: Along the way we’ve discovered…
- #23: your presentation will not only hold their attention,
- #24: But also change the world. (Well, at least your part of the world.)
- #25: For more information, go to www.duarte.com or email us at fiverules@duarte.com.