Reflection: Student Led Inquiry Can the Dog Reach the Bone? Determine whether a Point Lies within a Circle - Section 2: Investigation and New Learning


Obviously it’s great for the students to think about the Can the Dog Reach the Bone Problem in different ways (MP2). And, it is important for kids who have struggled in math in the past to be given time and space to think through the problems at their own pace. So if it takes the students longer than you would expect to make the connection here, that’s totally fine.

Often students start to hate math when they feel that it is like a train plowing along with or without them on it, because at some point, it passes them by and many of them never really care to catch up. So it is essential at every turning point that you communicate to them: this train cannot move ahead without out.

Some students will make the connection quickly, and can move on to the next section of the lesson, but for students who struggle with it, tell them over and over again, “I don’t care how long it takes you, I care that you are thinking your hardest and asking as many questions as you can.” It may be a shift for us a teachers to think this way—because we want all students to be on the same page, but you will be astounded by how much more invested in their learning students become when they really start to understand that the train will not move ahead without them.

  Helping students own their approach to the task
  Student Led Inquiry: Helping students own their approach to the task
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Can the Dog Reach the Bone? Determine whether a Point Lies within a Circle

Unit 10: Circles
Lesson 1 of 10

Objective: SWBAT describe the connection between the distance formula and square areas, by rediscovering the Pythagorean Theorem. Given the coordinates of the center of a circle and its radius, SWBAT determine whether a point lies on a circle, in a circle or outside of a circle.

Big Idea: Will the dog be able to reach its bone? Students apply the definition of a circle, along with a method for determining whether or not a point lies on a circle.

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