Reflection: Exit Tickets CORNERSTONE: Circumference Formula - Section 3: Exit Ticket


I thought it might be helpful to see some common student errors and an exemplar answer.

The first resource shows a student score of 1 out of 4 points - the student only answers problem 3 correctly, though based on his work for 3, I'm not sure how the student managed the correct answer!  On problem 1, the student shows all the work correctly but forgets to include PI in the answer.  The student then incorrectly picks C as the answer - this only represents the diameter not the circumference.  On problem 2, the student again shows all of the correct work, but again forgets to include PI in his answer.  This is a common oversight among students.  It should not be too difficult to re-teach this to students who make this error.  Problem 4, shows that the student has no real understanding of where to begin.  There is a similar problem in the independent practice section, but his class did not get to this point.


The next resource shows a score of 3 out of 4 points.  This student is able to do the first 3 problems with ease.  I would consider this a successful exit ticket because she is able to find the circumference when given a radius, then a diameter, and then in a word problem.  On problem 4, she correctly finds the perimeter of the semi-circle, but does not seem to know how to include the additional 26 meters from the rectangular portion of the shape.  A student who gets this far is very close to being able to solve a problem like 4.


The final resource shows an exemplar response - 4 out of 4.  Notice how she writes down all pertinent information in each problem.  She does an excellent job of annotating the text.  On problem 4, she makes sure to labels the perimeter of the semicircle and outlines the remaining perimeter of 26 meters.  She then clearly shows adding both values together to find the total.

  Exit Tickets: Common Errors and an Exemplar
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CORNERSTONE: Circumference Formula

Unit 6: Geometry
Lesson 7 of 37

Objective: SWBAT solve problems involving the circumference of a circle using the circumference formula

Big Idea: Students apply the circumference formula and use fact families to see how it is derived from the ratio PI.

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4 teachers like this lesson
Math, areas, circumference (Determining Measurements), Geometry, 7th Grade M, Circumference Formula, circles, perimeter, Diameter, pi
  50 minutes
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