Portfolio 2
Table of Contents
- Geogebra Construction
- Solar System
- Explanation of Complex Numbers
- Complex Numbers
- Notes
- Notes for Math II Portfolio
- Narrated Solution
- Finding the Area of a Cylinder
- Reflection
- Reflection of Math II
Solar System
Complex Numbers
[b]Complex numbers[/b] are numbers that can be expressed in the form of a+bi. Complex numbers are a combination of real and imaginary numbers where a and b are real numbers and i is an imaginary unit. Complex numbers exist because they are needed in order to solve problems seen in geometry, calculus, physics and more. [br][br] The [b]Fundamental Theorem of Algebra [/b]says all non-constant single-variable polynomials with complex coefficents have at least one complex root. The theorem needs complex numbers in order to make polynomials equal to zero in some cases. [br][br]In the link, the axis of symmetry is highlighted in purple. The vertex is marked at the tip of the parabola (0,-1). The origin is marked at (0,0). The discriminant tells the number of real solutions in a quadratic solution. To find the discriminant, you use the expression located under the radical in the quadratic formula. The discriminants value gives information about roots in the polynomial. It is important to the Fundamental Theorem of Algebra because it tells whether the quadratic is irreducible or reducible. If there is a negative discriminant, the quadratic is irreducible.
Parabola Equations
Notes for Math II Portfolio
In these notes many important concepts and definitions, like common factors, difference of squares, and perfect squares, are explained. I choose these notes because they were very helpful when it came to assignments and tests. These notes could also help other classmates with any confusion they might have had on the topic.
Finding the Area of a Cylinder
Finding the Area of a Cylinder
Reflection of Math II
Reflection of Math II
1. What experience will you remember most from this class?[br] The experience that I will remember most from this class is when Nyla and I had a disagreement on how to pronounce the word marinara.[br][br]2. What concept do you feel you understand the best? Give an example.[br] I feel that I understand the concept of area the best because we have been taught how to find area in previous grades, so it isn't new to us. An example could be finding the area of a rectangle or cylinder.[br][br]3. What has been your biggest struggle in trying to be successful in Math?[br] My biggest struggle in trying to be successful in math has been trying to stay focused and learn/comprehend things the first time it is taught to me.[br][br]4. What area of Mathematics are you still curious about?[br] The area of Mathematics I am still curious about is fractals. I like art and math, so I think it would be cool to learn about something that combines both.