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* *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.

# CORNERSTONE: Circumference Formula

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.

*50 minutes*

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- LESSON 1: Explore Perimeter and Area of Composite Shapes
- LESSON 2: Perimeter of Irregular Rectilinear Shapes
- LESSON 3: Area of Composite Shapes Using a Grid
- LESSON 4: Area of Composite Shapes
- LESSON 5: Area of Regions Formed by Inscribed Shapes
- LESSON 6: CORNERSTONE:Circle Ratios: Diameter to Radius; Circumference to Diameter
- LESSON 7: CORNERSTONE: Circumference Formula
- LESSON 8: Area of a Circle
- LESSON 9: Circumference & Area Fluency Practice
- LESSON 10: Finding the Radius From a Given Circumference or Area
- LESSON 11: Circumference from Area / Area from Circumference
- LESSON 12: Circle Designs: Finding the Area and Perimeter of Shapes Composed of Arcs and Line Segments
- LESSON 13: Assessment_Area and Perimeter (Circumference) of Composite Shapes and Circles
- LESSON 14: Drawing Prisms & Pyramids
- LESSON 15: Describe Prisms and Pyramids Using Algebra
- LESSON 16: Using Nets to Find the Surface Area of Prisms
- LESSON 17: Using a Formula to Find the Surface Area of Prisms
- LESSON 18: Finding the surface area of triangular prisms using a net
- LESSON 19: Finding the Surface Area of a Triangular Prism Using A Formula
- LESSON 20: Discovering the Formula for the Surface Area of A Cylinder
- LESSON 21: Finding the Surface Area of Cylinders Using a Formula
- LESSON 22: Practice Day: Surface Area of Prisms & Cylinders
- LESSON 23: Surface Area of Prisms and Cylinders Assessment
- LESSON 24: Finding the Surface Area of Pyramids Using Nets
- LESSON 25: Finding the Surface Area of Pyramids Using a Formula
- LESSON 26: Surface Area of Composite Shapes
- LESSON 27: Surface Area of Composite Shapes With Holes
- LESSON 28: Surface Area Assessment
- LESSON 29: 3-D Models from 2-D Views
- LESSON 30: Exploring Volume and Surface Area with Unifix Cubes
- LESSON 31: Explore Volume of Rectangular Prisms
- LESSON 32: Find the Volume of Prisms Using a Formula
- LESSON 33: Volume Of Cylinders Using a Formula
- LESSON 34: Volume of Composite Shapes
- LESSON 35: Volume and Surface Area - Accelerated Math Fluency Day
- LESSON 36: Volume of Pyramids
- LESSON 37: Surface Area and Volume Final Assessment