This lesson plan was created based on a template developed for the Curriculum, Instruction & Assessment initiative sponsored by the Alliance for Catholic Education. Number of Days:

4 days

Prior Knowledge:

Students will be able to apply procedure to calculate medians.

Lesson Objective:

Students will be able to analyze data sets using box & whisker plots.

Lesson Assessment:

Given dataset on LSU scores in 2005 and 2006 season, find 5 number summary; represent in box and whisker plot; and compare/contrast results; create 7-item dataset with Q1=80, median=88, max=100.

Benchmark or Standards:

PS 1.1, 1.2

Materials Needed:

Handouts: LSU/ND football scores from 2006 season; Box and Whisker plot calculator guide; iPod dataset

Enrichment:

Students bring in another real-world dataset (besides football scores) they think could benefit from analysis using a box and whisker plot

Accommodations:

Input: present information about boxplot first lection before viewing with calculator (so the students know what they are looking at)

Anticipated Problems:

Confusion about different sized sections on the box and whisker plot each representing 25% of the data

Procedures:

Method or Procedure
DAY 1
3Friday prayer rotation: student-led prayer
10Define percentile vs. quartile
Direct instruction:
Percentile: the pth percentile is a value such that p% of the data falls at or below theat value (so (100-p)% falls above it)
Quartiles: percentiles that split the data into 4 equal parts; Q1 = 25th percentile, Q2 = 50th percentile (median), Q3 = 75th percentile
10Determin procedure for finding quartiles
Lead large group discussion: how did we split the data into 2 equal parts with median? how can we adapt this to split into 4 equal parts?
10Practice procedure for finding quartiles using dataset
Formative assessment: ask students for steps as we work with this dataset
DAY 2
2 Prayer
2 Distribute handouts: LSU football scores from 2006 season; box and whisker calculator guide
30Pair work: Generate 5 number summary and corresponding box and whisker pltos using calculator
Monitor pair work
16Discuss box and whisker plots and how we can compare datasets using these graphical displays
HomeworkSketch box and whisker plot given datasets (3 problems); create a 7-item dataset with the following statistics: Min=70, Med=80, Q3=85
DAY 3
2 Prayer
10BW: Create box and whisker plot for ND scores for 2006 season.
Lead group discussion: compare to box and whisker plot of LSU scores; which team had a better season [roughly the same median, but can talk about min/max and quartiles to compare]
10Discuss HW questions
Post HW solutions
28Summative assessment: Given dataset on LSU scores in 2005 and 2006 season, find 5 number summary; represent in box and whisker plot; and compare/contrast results; create 7-item dataset with Q1=80, median=88, max=100.
Individual and independent student work
DAY 4
5 Prayer: music!
1 Distribute iPod dataset (iPod sales each quarter since 2002)
14Pair work: generate box and whisker plot
Monitor pair work: pay close attention to how the students are dealing with the large numbers; suggest that they record 125,000 as 125, etc. (start discussing outliers, time permitting)
10Generate box and whisker plot