Video Check: Select all that apply with regards to the video embedded directly above this item.
Solve It! Here is a partially-completed multiplication table. Use the following information to complete the table using only the values a, b, c, & d.
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For these items, enter only a, b, c, or d.
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Recall the real number families, shown in this diagram from Chapter 1
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Take Note: Define the imaginary unit i.
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Take Note: Fill in the blank with the numeric value of i.
i =_____
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Take Note: Describe the process of rewriting the square root of a negative number.
NOTE: This is a free response Formative item. A variety of media options are available for use in your response.
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Problem 1 Got It? How do you write the number by using the imaginary unit i ?
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Problem 1 Got It? How do you write the number by using the imaginary unit i ?
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Problem 1 Got It? How do you write the number by using the imaginary unit i ?
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Problem 1 Got It? Reasoning: Explain why the two radicals below are not equivalent.
You may use the canvas to help illustrate your written response.
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Take Note: Define complex number.
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Take Note: Provide an example of a complex number.
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Take Note: Define pure imaginary number.
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Take Note: Provide an example of a pure imaginary number.
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Take Note: Describe the complex plane.
How is it similar to the standard coordinate plane? How is it different?
You may use the canvas to help illustrate your explanation.
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Take Note: Define the absolute value of a complex number. You may use the canvas to help illustrate your written response.
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Take Note: Use the math input keyboard to complete this equation representing the absolute value of a complex number.
|a+bi|=_____
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Problem 2 Got It? Graph the complex numbers on the complex plane. Use the color indicated for each number. Include relevant graph detail: label axes, and indicate units and scale on both axes.
5 - i
-3 - 2i
1 + 4i
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Problem 2 Got It? Match each complex number with its absolute value.
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Take Note: Summarize the processes for adding and subtracting complex numbers.
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Problem 3 Got It? Evaluate the expression below.
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Take Note: Summarize the process for multiplying complex numbers. How is it the same as multiplying binomials? How is it different?
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Problem 4 Got It?
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Problem 4 Got It?
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Problem 4 Got It?
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Take Note: Define complex conjugates.
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Take Note: What is the complex conjugate of 4+5i?
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Take Note: What do you know about the product of 2 complex conjugates? You may use the canvas to help illustrate your written response.
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Problem 5 Got It?
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Problem 5 Got It?
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Problem 5 Got It?
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Problem 6 Got It?
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Problem 6 Got It?
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Video Check: Select all that apply with regards to the video embedded directly above this item.
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Problem 7 Got It?
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Problem 7 Got It?
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🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
