Download math augusta county schools curriculum map

AUGUSTA COUNTY SCHOOLS
CURRICULUM MAP
MATH
Submitted By CLES
CONTENT:
5.15 The student, given a problem situation, will collect, organize, and interpret data in a variety of forms, using stem-and-leaf
plots and line graphs.
TOPIC:
Probability and Statistics
CONTENT
What do your
students need to
KNOW?
DEMONSTRATORS
What do your students need to be able to DO?
All students will
know:
 Understand how
to interpret
collected and
organized data.
 Understand that
stem-and-leaf
plots list data in
a meaningful
array. It helps in
finding median,
modes,
minimum and
maximum
values, and
ranges.
 Understand that
line graphs show
changes over
time.
Students will:
 Formulate the question that will guide the data collection.
 Collect data, using observations, measurement, surveys, or
experiments.
 Organize the data into a chart, table, stem-and-leaf plots, and line
graphs.
 Display data in line graphs and stem-and-leaf plots.
 Construct line graphs, labeling the vertical axis with equal whole
number, decimal, or fractional increments and the horizontal axis with
continuous data commonly related to time.
 Construct a stem-and-leaf plot to organize and display data, where
the stem is listed in ascending order and the leaves are in ascending
order, with or without commas between leaves.
 Title the given graph or identify the title.
 Interpret the data in a variety of forms.
ASSESSMENT
How will you assess what
your students ALREADY
KNOW, and assess WHAT
THEY’VE LEARNED?
Already KnowSOL 4.14
Lesson 5.14
Harcourt Math- Check
What You Know Pg95
12-13 Flanagan
Materials, Math, 5th5.15 Bank Questions
(Pre or Post
Assessment)
What they’ve learned12-13 Flanagan
Materials, Math, 5th5.15 Bank Questions
(Pre or Post
Assessment)
IXL 5th Grade S. 3 Line
Graph
IXL 5th Grade S. 10
Interpret Line Plot
IXL 5th Grade S. 13
Stem-and-leaf Plot
ACTIVITIES
HOW will you teach it?
I would teach this lesson after the core
lesson of 5.14
1. Prepare sets of five envelopes, each
with a different colored dot on it. Give
each student a set of envelopes and five
small pieces of paper. Ask students to
write numerical answers to each of the
following questions on separate pieces of
paper.
Questions:
How many brothers and sisters do you
have? (Put answer in the envelope with
the blue dot.)
On what day of the month (number) is
your birthday? (Put answer in the
envelope with the green dot.)
What is the total number of letters in
your whole name—first, middle, and
last? (Put answer in the envelope with
the yellow dot.)
What month (number) were you born in?
Example January=1 (Put answer in the
envelope with the purple dot.)
What is your favorite grade in Elementary
School? (Put answer in the envelope with
the red dot.)
2. Split class up into 5 groups. Have each
group collect all their responses and hand
them to you. Divide all student responses
into five large, color-coded envelopes.
3. Give each group one of the large
envelopes, and have each group use the
data and markers to create a stem-andleaf plot on a large sheet of poster board.
Do not title your stem-and-leaf plot. Each
group should find the mean, median,
mode, and range of the data and include
that information on their plot.
4. Display the stem-and-leaf plots along
with five graph titles on sentence strips.
Have students identify which title each
plot represents.
DIFFERENTIATION
How will you meet
the needs of all
students?
For struggling
students provide a
stem-and-leaf chart
as a guide. Provide
more complex data
to chart for higher
ability students.
RESOURCES
Harcourt Math Lesson 5.4 Problem Solving Strategy
Harcourt Math Lesson 5.5 Analyze Graphs
Harcourt Math Lesson 6.3 Make Line Graphs


Heterogeneous
grouping
arrangements in
which whole
classes of
students of
varying
intellectual ability
learn together in
one classroom.
Within-classroom



TEACHER NOTES:
Extension
Have students write questions about their data for others groups
to answer.
2. Next step/day have students illustrate data in another graph
http://rec-puzzles.org/probability.html – A Web site
format and compare the graphs/
containing many word problems involving
Questions
probability and their solutions.
How can you use the mean, median, mode, and/or range to help
http://nces.ed.gov/nceskids/probability – National
you decide which title goes with which graph in the mystery data
Center for Education Statistics Web site with
lesson?
probability activities for students and many other
What are some other types of data that can be displayed in a
resources.
stem-and-leaf plot?
http://mathforum.org/dr.math/faq/faq.boy.girl.html –
Probability activities and information from the Math What type of job would you use a stem-and-leaf plot and how
would it help them?
Forum.
Additional Activity: Create a survey question that can be
www.nces.ed.gov/nceskids/Graphing/ – An
interactive Web site for students that allows them to displayed in a stem-and-leaf plot. Collect data from the class and
present it in a stem-and-leaf plot.
create several types of graphs.
http://illuminations.nctm.org/lessonplans/35/airplanes/ – In this lesson, students make paper
airplanes and explore attributes related to
groupings in
which students of
varying abilities
learn together in
cooperative
learning
arrangements.
increasing flight distances. Each student collects
data from three flights of the airplane and finds the
median distance. Students then collect, organize,
display, and interpret the median distances for the
class in a stem-and-leaf plot.
 http://score.kings.k12.ca.us/lessons/mandm.html – A
lesson plan that uses small individual bags of
“M&M’s”® Candies to review students’
understanding of estimating, sorting, graphing,
mean, median, mode, fractions, percentage, and
averaging.
 http://www.brainpop.com/math/dataprobability/mean
modemedianrange/index.weml – An interactive
Web site for students using probability concepts.
 http://illuminations.nctm.org/lessonplans/68/baseball/index.html – Having Fun with Baseball
Statistics. These activities allow students to explore
statistics surrounding baseball. They are exposed
to connections between various mathematical
concepts and see where this mathematics is used
in areas with which they are familiar.