Measuring Circumference of Circles Activity



EDF 612

Assignment 7

July 17, 2010

Topic: Finding Circumference

Content area: Mathematics

Grade Level: 7

WV Content Standard:

M.S. 7.4 Measurement - Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will:

• demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurements, and

• apply appropriate techniques, tools and formulas to determine measurements.

WV Contents Objective:

M.O. 7.4.1 - Select and apply an appropriate method to solve (including, but not limited to, formulas) justify the method and the reasonableness of the solution, given a real-world problem solving situation involving

• perimeter

• circumference

• area

• surface area of prisms (rectangular and triangular)

• volume of prisms and cylinders

• distance and temperature (Celsius, Fahrenheit )

Teacher written Objectives:

1. The student will practice cooperative behavior during group work.

2. Given a ruler, the student will demonstrate the ability to measure an object correctly in order to determine its perimeter or area.

Title: Let’s Get Around!

Description of Task: Students will travel in pairs around the classroom to various stations where there are circular objects. The students will then use a ruler to measure the diameter of each object and record it on a chart. They will use the formula for finding the circumference of a circle to calculate the circumference. Then, they will return to the objects and use a tape measure to measure the exact circumference of each object. Finally, the students will discuss with their partner the results of the comparisons.

(Instructions for Students)

Let’s Get Around

Measuring Circumference of Circles Activity

C = (d

You and your partner must measure 6 circles to complete this activity.

1. Pick 6 circles from the attached chart and follow the directions to find their diameter and circumference.

2. Both partners must contribute equally to both the measurement and computation!

How To Complete:

1. Use a ruler to measure the diameter of the circle, using the unit (inches or cm) given on the chart.

2. Write down the diameter in the column labeled Diameter.

3. Calculate the circumference by multiplying by ( (3.14) and enter your answer in the column.

4. Use a tape measure to measure the actual circumference and write it in the column labeled Actual Circumference.

5. Compare your answers.

6. Discuss with your partner the results of your comparison. If you did not get the correct results, work together to find your mistakes.

7. Be prepared to share your results with the class.

Name(s) ________________________________________________

| | | | |

|Circle |Diameter |Formula |Actual Circumference |

|Small white styrofoam plate – use cm | | | |

| | |_____ x 3.14 = ___________ | |

|Small Christmas plate – use inches | | | |

|Large Christmas plate – use inches | | | |

|Plate with green trim – use cm | | | |

| | | | |

|Cork coaster – use inches | | | |

|Any assorted plastic lid from bag – use cm | | | |

|Orange paper circle – use inches | | | |

|Small yellow paper circle – use inches | | | |

Rubric: Let’s Get Around

Name: ______________________________________

|Criteria |6 |4 |3 |1 |0 |Score |

|Completion of task |Measurements and results for|Measurements and results |Measurements and results |Measurements and results for 1 |Measurements and results for 0 objects were| |

| |6 objects were recorded. |for 4 or 5 objects were |for 3 objects were |or 2 objects were recorded. |recorded. | |

| | |recorded. |recorded. | | | |

|Measurement |Measurements of diameter/ |Measurements of diameter/ |Measurement of diameter/ |Measurements of diameter/ |Measurements of diameter/ circumference | |

| |circumference are correct |circumference contained |circumference contained |circumference were mostly |were not attempted or were completely | |

| |for all 6 objects. |one error. |multiple errors. |incorrect. |incorrect. | |

|Computation |All computation is correct. |Project contains one |Project contains multiple |Most computation is incorrect. |No computation was attempted. | |

| | |computational error. |computational errors. | | | |

|Teamwork/Use of Class |Student worked cooperatively|Student worked |Student struggled to work |Student completed work without |Students refused to work with partner. | |

|Time |with their partner on all |cooperatively with their |with their partner and had|input from their partner and | | |

| |aspects of the project and |partner and stayed on task|to be reminded to stay on |had to be remained to stay on | | |

| |stayed on task the entire |most of the time. |task occasionally. |task frequently. | | |

| |time. | | | | | |

Total Points _________

Grading Scale

Excellent = A 22-24 points

Good = B 21-23 points

Fair = C 18-20 points

Needs Improvement = D 16-18 points

Failed to meet requirements = F 15 or fewer points

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