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Number and Quantity

What we have studied:

We learned how to perform arithmetic operations with complex numbers such as i and learned how to add, subtract and multiply complex numbers. Furthermore, we learnt how to use complex numbers in polynomial identities and equations.​

Standards where I performed well

“Knows there is a complex number i such that  i2= –1, and every complex number has the form a + bi with a and b real.” I was able to easily solve equations including the number i to any power. Therefore, I also think I performed very well in the standard “Uses the relation = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.”


I performed well in this standard as having the imaginary number i in an equation did not make a difference to me, and I was quickly able to understand how to calculate with it in an equation.

Standards upon which I might improve

“Knows the Fundamental Theorem of Algebra; shows that it is true for quadratic polynomials.” I do not do not have any issues with applying it when solving a problem, but don’t quite understand this theorem when put in words.​

How I might improve upon those standards

I might improve by carefully paying attention to what I am doing while calculating. From there, I could infer that the Fundamental Theorem of Algebra actually means. Otherwise, I could try finding a differently worded definition online that helps me understand this theorem.​

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