Recall the real number families, shown in this diagram from Chapter 1
Question 12
12.
10
Question 13
13.
Take Note: Define the imaginary unit i.
5
10
Question 16
16.
Question 17
17.
Question 18
18.
Problem 1 Got It? How do you write the number by using the imaginary unit i ?
Question 19
19.
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.
Question 20
20.
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5
10
5
15
10
5
Question 28
28.
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
Question 29
29.
Question 30
30.
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Question 31
31.
Take Note: Summarize the processes for adding and subtracting complex numbers.
Question 32
32.
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N.CN.2
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N.CN.2
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Question 36
36.
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Question 37
37.
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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N.CN.2
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N.CN.2
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Question 41
41.
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Question 42
42.
Take Note: Define complex conjugates.
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N.CN.2
N.CN.3
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N.CN.3
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N.CN.2
N.CN.3
Question 48
48.
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N.CN.2
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N.CN.2
Question 51
51.
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N.CN.7
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N.CN.7
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Question 54
54.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
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.
Question 2
2.
For these items, enter only a, b, c, or d.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 14
14.
Take Note: Fill in the blank with the numeric value of i.
i =_____
Question 15
15.
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.
Problem 1 Got It? How do you write the number by using the imaginary unit i ?
Problem 1 Got It? How do you write the number by using the imaginary unit i ?
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 21
21.
Take Note: Define complex number.
Question 22
22.
Take Note: Provide an example of a complex number.
Question 23
23.
Take Note: Define pure imaginary number.
Question 24
24.
Take Note: Provide an example of a pure imaginary number.
Question 25
25.
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.
Question 26
26.
Take Note: Define the absolute value of a complex number. You may use the canvas to help illustrate your written response.
Question 27
27.
Take Note: Use the math input keyboard to complete this equation representing the absolute value of a complex number.
|a+bi|=_____
Problem 2 Got It? Match each complex number with its absolute value.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Problem 3 Got It? Evaluate the expression below.
Question 33
33.
Question 34
34.
Question 35
35.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 38
38.
Question 39
39.
Question 40
40.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 43
43.
Take Note: What is the complex conjugate of 4+5i?
Question 44
44.
Take Note: What do you know about the product of 2 complex conjugates? You may use the canvas to help illustrate your written response.
Question 45
45.
Question 46
46.
Question 47
47.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 49
49.
Question 50
50.
Video Check: Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
