In this quarter we studied about complex numbers. Complex numbers are a combination between real and imaginary numbers. The form of complex numbers can be represented as 'a+bi' where 'a' is the real number and 'bi' would be the imaginary number. We then know that i equals to the square root of -1, we can also say that 'i' squared is equals to -1.
Addition: e.g. (3+4i)+(4+8i) We must group real numbers with real numbers, and imaginary with imaginary numbers. 1. 3+4+(4i+8i) 2. 7+(4+8)i 3.7+12i Multiplication: e.g. (3+4i)(4+8i) 1. 12+24i+16i+32i^2 We know that i^2 or i squared would be equal to -1. Therefore, 2. 12+40i+32(-1) 3. 12+40i-32 4. -20+40i Division: 3+4i / 4+8i We must multiply the numerator and the denominator by it's conjugate of it's denominator (3+4i)*(4-8i) = 12-24i+16i-32i^2 i^2 is equal to -1 therefore, =12+32-8i =44-8i While we practice on how to complete additions, multiplications and divisions, we created a poster to demonstrate our knowledge and to display it for other people. This allowed us to share information with friends, to be able to explain and reason with others and also provide helpful feedback for when some areas needs improvements. ESLOS 1) STRATEGIC LEARNERS a) Recognize what is important to know and understand b) Reflect on our learning and how our mistakes help us to improve 2) INNOVATIVE THINKERS a) Build on the ideas, explanations, and reasons of others b) Apply what we know to analyze, evaluate, and solve problems, c) Be creative and original 3) ARTICULATE COMMUNICATORS a) Listen, read, write, and speak for different purposes and using different methods b) Tell what we understand and how we understand to different social groups 4) MORALLY INTELLIGENT PERSONS c) Show we are hardworking and caring 6) LEADERS FOR THE FUTURE a) Build teamwork and leadership to achieve common goals b) Work through our differences and accept group decisions c) Evaluate how well we work together and give one another helpful feedback d) Use technology to solve our problems and do our work together
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