Reflection: High Quality Task Standard Form of Circle Equations - Section 1: Warm-Up


This I believe:

When somebody tells you how to do something, they have permanently taken away your opportunity to figure it out yourself.

This is a tough sell sometimes—because students often feel that when somebody tells them how to do something, they are giving them something, but I really want to develop a classroom culture in which students see unsolved problems as opportunities, so I try to offer them hints in ways that make it seem more desirable for them to figure stuff out on their own: “I could give you a hint, but as soon as I do, you are probably going to say, ‘Oh, yeah, I totally could have figured that out on my own!’”. Or, I say, “I could give you a really small hint, just to help you get started thinking about this?” 

  Mathematical Practices are an Opportunity
  High Quality Task: Mathematical Practices are an Opportunity
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Standard Form of Circle Equations

Unit 10: Circles
Lesson 4 of 10

Objective: SWBAT use the method of completing the square to determine whether or not an equation defines a circle and to rewrite circle equations in standard form.

Big Idea: How can I tell if this weird-looking equation will make a circle when I graph it? Students discover how to apply previous knowledge about completing the square to a new problem.

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