Gold Seal Lesson:
An Apple A Day

Copernicus Education Gateway

Subject:

Mathematics

Grade:

9-12

ICLE Standards:

Mathematics as Problem Solving: Use, with increasing confidence, problem-solving approaches to investigate and understand mathematical content.

Statistics: Understand and apply measures of central tendency; understand sampling.

Performance Task:

Steve works on a large apple farm and is responsible for preparing the apples for packaging and shipping.  He randomly selects a sample of 100 apples from one picking and measures the diameter of each one. The following chart shows the frequency distribution of sizes.

B.  Assuming the distribution is approximately normal with this mean and this standard deviation, find the range of size of apples for packing if 5 percent are to be rejected as too small and 5 percent are to be rejected as too large.

Knowledge / Skills:

Understand the characteristics of measures of central tendency (i.e., mean, median, and mode).  (m15)

Understand the characteristics of measures of dispersion (i.e., range, mean deviation, variance, and standard deviation).  (m36)

Rubric:

4 Points  =  The student independently solves all parts of the problem. He/she shows the formulas used in solving the problem. All calculations are shown and are accurate. The student's work indicates a thorough understanding of the concepts involved, and he/she is able to apply them to a real-world situation.

3 Points  =  The student needs some coaching to solve all parts of the problem. Although his/her computations are correct, he/she does not show formulas used. The student does not demonstrate complete understanding of the concepts and has some difficulty applying them in a real world setting.

2 Points  =  The student, even with coaching, is unable to solve all parts of the problem. He/she does not show formulas used and his/her calculations contain some errors. The student does not demonstrate an understanding of the concepts and has much difficulty applying them in a real-world setting.

1 Point  =  The student does not solve the problem. Formulas used are not indicated and, what computations are shown, contain errors. The student's work indicates misconceptions about the concepts and he/she is unable to apply them in a real-world setting.

Keywords:

STATISTICS
RANGE
STANDARD DEVIATION
STATISTICS IN DAILY LIFE
CENTRAL TENDENCY
COMPUTATION

Grades:

Kg [] - 1 [] - 2 [] - 3 [] - 4 [] - 5 [] - 6 [] - 7 [] - 8 [] - 9 [X] - 10 [X] - 11 [X] - 12 [X]

ICLE Application:

D

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