SEQL Pre/Post-Test



SEQL Student Pre/Post-Test 2010/11 6th Grade Math

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Suppose you want to determine the most popular pizza topping of students in your school. You plan to survey a sample of the students and are considering each of the following methods. GLEs: MA-D.1.A

Plan A: Ask every tenth person in the lunch line.

Plan B: Ask ten of your friends as you meet them in the halls between classes.

Plan C: Select 30 students from a list of 3 digit student ID numbers. Numbers will be generated by rolling a number cube 3 times.

Plan D: Read an announcement asking for volunteers to participate in the survey

1) Give an advantage and a disadvantage of choosing a sample in each of the ways described.

|Plan |Advantage |Disadvantage |

| |convenient |may not be representative, leaves out those who bring a |

|A | |lunch or do not eat lunch |

| |convenient |too small a sample, might not be representative |

|B | | |

| |would generate a random, representative sample |would be more time consuming to conduct, selected |

|C |with |students would have to be located |

| |unbiased results | |

| |easy to conduct |not representative, if a student is shy he/she might not|

|D | |want to participate |

2) Your principal has asked the Student Council to find out which of the school cafeteria foods students enjoy most. Which of the following survey questions would be most effective? Explain your thinking.

GLEs: MA-D.1.A

A. What kind of food do you like?

B. Do you like greasy foods like French fries?

C. Do you prefer hamburgers, hot dogs, or pizza?

Question C would result in the most usable data. Question A is very open-ended. Question B is a yes or no question and is biased because it indicates that since French fries are greasy liking them is not positive.

Favorite Sport of 6th Graders By Percentage

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Use the circle graph above to answer the questions: GLEs: MA-D.1.C

3. Favorite Sport of 6th Graders is: Basketball

4. Least Favorite Sport of 6th Graders is: Swimming

5. If 210 students were surveyed, how many students like basketball? 63 students

6. One student’s scores for 12 math assignments are shown below. Create a stem-and-leaf plot to show the scores. GLEs: MA-D.1.C

75, 72, 75, 82, 85, 83, 95, 95, 97, 86, 99, 97

|Math Assignment Scores |

|Stem |Leaves |

|7 |2, 5, 5 |

|8 |2, 3, 5, 6 |

|9 |5, 5, 7, 7, 9 |

|Key: 7|2 represents a score of 72 |

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7. The chart below shows the number of hours of TV a sixth grader watched last week.

|Day of Week |Number of Hours |

|Monday |1 |

|Tuesday |1 |

|Wednesday |1 |

|Thursday |2 |

|Friday |5 |

|Saturday |6 |

|Sunday |5 |

Use the information to find the mean, median, mode, and range of the data in the chart. Show your work. GLEs: MA-D.2.A

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|Mean: 3 hours |Median: 2 hours |

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|1 + 1 + 1+ 2 + 5 + 6 = 21 |1 1 1 2 6 6 5 |

| |X X X m X X X |

|21 ÷ 7 = 3 | |

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|Mode(s): 1 hour # occurs |Range:5 hours |

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|1 3 |6 – 1 = 5 |

|2 1 | |

|5 2 | |

|6 1 | |

Note: The work shown is an example – any valid student work shown is acceptable

8. Jan was provided with data on the heights of students in two groups: group A and group B.

Group A: 60” 54” 51” 57” 60” 52” 51” 59” 45”

Group B: 56” 63” 53” 59” 63” 54” 62” 47” 62”

Use what you know about Mean, Median or Mode to explain whether the students were selected from the same age group. GLEs: MA-D.3.A

Group B students are probably in a higher grade, since their mean height is 57[pic]“ while group A has a mean height of 54[pic]“.

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9. A sixth-grade class of 24 students took a spelling test. After looking at the graph of only 3 students’ scores, Gina said, “This graph shows that 2/3 of the sixth graders raised their spelling test scores in March.” Explain why you agree or disagree with Gina’s statement. GLEs: MA-D.3.A

Disagree. Gina is basing her statement on only 3 students in a sixth-grade class, and 3 out of 24 is equal to 1 out of 8, not 2/3. In order to check if her statement is true, you would need to look at all 24 sixth graders’ spelling scores in March to determine whether two of three (i.e., 16 out of 24 students) raised their spelling scores that month.

At the school carnival, the sixth-grade Math Club has a game titled “Fishing for Common Multiples of 2 and 3.” Players are to draw from fish that are numbered from 1 to 30. Prizes are awarded to those who draw fish that are multiples of both 2 and 3. GLEs: MA-D.4.A

10. Make a list of all possible winning numbers.

ANSWER:

The winning numbers are 6, 12, 18, 24, 30.

11. Explain whether you think your chance of winning this game is good.

The chances of winning are not very good because you can win on only 5 of the 30 numbers.

6th Grade Math Scoring Rubric 2010 – 2011

Points Points

Question Possible Earned Criteria

1) 8 points _____/(2) 1 point each - Valid Advantage and Disadvantage listed _____/(2) 1 point each - Valid Advantage and Disadvantage listed _____/(2) 1 point each - Valid Advantage and Disadvantage listed _____/(2) 1 point each - Valid Advantage and Disadvantage listed

2) 2 points _____/(1) Question C is best

_____/(1) 1 point – explain why A and/or B are not best

3) 1 points _____/(1) Basketball is correct answer

4) 1 points _____/(1) Swimming is correct answer

5) 2 points _____/(2) 63 is given.

6) 4 points _____/(4) 1 point for appropriate title

1 point for appropriate key

2 points: 2 points for correct stem & leaf plot

1 point for incorrect leaves

0 points for totally incorrect plot

7) 8 points _____/(2) 1 point each-mean of 3 & valid computational process

_____/(2) 1 point each-median of 2 & valid computational process

_____/(2) 1 point each-mode of 1 & valid computational process

_____/(2) 1 point each-range of 5 & valid computational process

8) 3 points _____/(1) 1 point for valid use of mean, median, and/or mode

_____/(2) 2 points explaining that group B is older.

9) 2 points _____/(1) 1 point for Disagree

_____/(1) 1 points valid explanation.

10) 1 points _____/(1) 1 point for describing or listing valid sample space

11) 1 points _____/(1) 1 point for listing all of the winning numbers

12) 2 points _____/(2) 2 points 2 points – states chances are not good and valid explanation is given using the ratio of 5:30 or 1:6

1 point – either states chances are not good or gives ratio of 30:5 or 1:6

0 points – states chances are good with no valid explanation

Total Points _____/35

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Basketball

30%

Football

25%

Baseball

25%

Swimming

20%

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