IM Alg2.3.15 Lesson: Working Backwards

Here are some complex numbers with an unknown difference:
[math](10+4i)-(\underline{\phantom{00}} + \underline{\phantom{00}}i) = \text?[/math][br][br]If the result of this subtraction is a real number, what could the second complex number be?[br]
If the result of this subtraction is an imaginary number, what could the second complex number be?[br]
Your teacher will give you either a problem card or a data card. Do not show or read your card to your partner.
[table][tr][td]If your teacher gives you the data card:[/td][td]If your teacher gives you the problem card:[/td][/tr][tr][td][list=1][*]Silently read the information on your card[/*][*]Ask your partner “What specific information[br]do you need?” and wait for your partner to [br]ask for information. [br]Only give information that is on your card. [br](Do not figure out anything for your partner!)[/*][*]Before telling your partner the information, ask [br]“Why do you need to know that piece of information)?”[/*][*]Read the problem card, and solve the problem independently.[/*][*]Share the data card, and discuss your [br]reasoning.[/*][/list][/td][td][list=1][*]Silently read your card and think about what [br]information you need to answer the question.[/*][*]Ask your partner for the specific information[br]that you need.[/*][*]Explain to your partner how you are using the[br] information to solve the problem.[/*][*]When you have enough information, [br]share the problem card with your partner,[br] and solve the problem independently.[/*][*]Read the data card, and discuss your [br]reasoning.[/*][/list][/td][/tr][/table][br]Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.
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Information: IM Alg2.3.15 Lesson: Working Backwards