MATHEMATICS-11
ESSENTIAL UNIT 6 (E06)
(Data Collection & Analysis)
(July 2013)
Unit Statement: In this unit, the student will use mean, median, mode, and range to describe
data. The student will also solve problems by collecting, organizing, and analyzing data. In
order to be successful in this unit; the student is expected to be familiar with the Key Terms
and Concepts listed below.
Essential Outcomes: (must be assessed for mastery)
Problem solving and higher order thinking components are essential for ‘A’ level mastery.
Each TSW can contain problem solving and higher order thinking components (as found
in suggested text).
1. The Student Will find the range, mean, median, and mode of data sets. (6-1, pp. 245-249)
2. TSW identify the effects of additional data points and/or outliers on the ranges,
means, medians, and modes of data sets. (6-2, pp. 250-253)
3. TSW calculate, interpret, and compare measures of variation in a data set by
displaying data using a box-and-whisker plot. (6-3, pp. 254-257)
4. TSW record and organize data in line plots, frequency tables (with intervals) and
create histograms. (6-4, pp. 260-263)
5. TSW describe the frequency distribution of a data set and make a cumulative
frequency table and histogram. (pp. 264-265)
6. TSW compare and describe data distributions by their center, spread, and shape,
using box-and-whisker plots or dot plots. (6-5, pp. 268-271)
7. TSW design and conduct a real-world survey to collect and appropriately display data
using techniques examined throughout the unit (pp. 243, 259, 266 and 273)
Introduced and Practiced Outcomes: (taught not assessed)
1. The Student Will confirm place value of whole numbers (p. 241).
2. TSW write fractions as decimals (p. 241).
3. TSW locate points on a number line (p. 241).
4. TSW compare and order whole numbers (p. 241).
Key Terms and Concepts:
Horizontally
Place value
Quotients
Sum
Vertically
Box-and-whisker plot
Frequency table
Interquartile range (IQR)
Mean
Median
Mode
Outlier
Quartile
Range
Chart
Graph
Tally
Line plot
Histogram
Frequency distribution
Cumulative
frequency
Variation
Mean absolute deviation
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QSI MATHEMATICS-11 E06
Copyright © 1988-2013
Suggested Materials:
Teacher’s Edition, Chapter 6, Holt McDougal, Mathematics, grade 6.
Suggested Assessment Tools and Strategies:
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Attached rubric or teacher generated rubric that assesses ALL essential outcomes
(TSWs).
Assessments created by the teacher (ExamView CD-ROM).
Chapter 6 tests on the ‘Teacher One Stop’ CD-ROM or in the Assessment
Resources (Holt McDougal, Mathematics, Grade 6)
Students keep a journal in which they write about real-life situations connected to
their TSW’s. Students use this same journal to rewrite explanations given as
paragraphs as steps or a list (TE: p. 45).
Students design, create, and play a game (Don’t Say the Word, Memory,
Pictionary, Scrabble, Word Wall, etc.) where they can prove their understanding of
the Key Terms and Concepts (TSW 1-6).
Additional Resources:
The World Almanac for Kids edited by C. Alan Joyce et al. (see page 243 TE).
Technology Links:
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Destiny WebPath Express (school library site)
Lesson Tutorial Videos for every lesson (CD-ROM, Holt McDougal, Mathematics,
Grade 6)
Power Point Presentations for every lesson (CD-ROM; Teacher One Stop, Holt
McDougal, Mathematics, Grade 6)
http://my.hrw.com (Holt McDougal's online math tools)
www.ixl.com/math (online practice for students)
www.tenmarks.com (online supplemental math program)
www.khanacademy.org (online practice for students)
Suggested rubric found on following page……..
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QSI MATHEMATICS-11 E06
Copyright © 1988-2013
SUGGESTED RUBRIC MATH-11 E06
Student Name: __________________________
-
Date: _______________________
To receive a ‘B’, the student must show ‘B’ level mastery on ALL Essential Outcomes (TSW’s).
To receive an ‘A’, the student must show ‘A’ level mastery on all three available TSW’s and
‘B’ level mastery on all of the remaining TSW’s.
‘A’ LEVEL
TSW
‘B’ LEVEL
1- TSW find the range,
mean, median, and mode
of a data set.
The student is consistent in
finding the correct range,
mean, median, and mode of a
set of data.
2- identify the effects of
additional data points
and/or outliers on the
ranges, means, medians,
and modes of data sets.
The student is able to justify
which method of analyzing
data (mean, media, etc.) is
most suitable for a variety of
situations.
The student can identify the
effects of the range, mean,
median, and mode
consistently.
3- calculate, interpret,
and compare measures
of variation in a data set
by displaying data using
a box-and-whisker plot.
The student creates his/her
own data set that has an
interquartile range of a given
number and a median of some
number and describes how
numbers affect the IQR and
the mean absolute deviation.
The student uses a Box-andWhisker plot and consistently
calculates, interprets, and
compares measures of
variation in a data set
correctly.
4- record and organize
data in line plots,
frequency tables (with
intervals) and create
histograms.
The student consistently
records and organizes data in
line plots and frequency tables.
Histograms are created with
appropriate scales and
intervals and contain the
correct label and title.
5- describe the
frequency distribution of
a data set and make a
cumulative frequency
table and histogram.
The student describes the
frequency distribution
correctly and makes a
complete (title, intervals, and
frequency) cumulative
frequency table and histogram.
6- compare and describe
data distributions by
their center, spread, and
shape.
The student consistently
describes the correct center,
spread, and shape of data and
compares the data correctly.
7- design and conduct a
real-world survey to
collect and display data.
The student creates
challenging questions from
his/her survey for other
students and critiques their
answers correctly.
The student designs and
conducts a survey to collect
data and displays his/her data
in a drawing (histogram, table,
etc.) correctly.
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QSI MATHEMATICS-11 E06
Copyright © 1988-2013
Notes