FRAME THE LESSON
TEACHER:
CLASS:
8th Math
Unit 2: Statistics with Univariate Data
LESSON DATE: September 8
1st 6 Week Period
Week 3
Resources/
Materials:
Teaching Points & Activities:
Student Expectations Bundled in Lesson
Noun=Underline
Verb=Italicize
Readiness TEKS:
Supporting TEKS:
8.11B: Determine the mean absolute deviation and use this
quantity as a measure of the average distance data are from
the mean using a data set of no more than 10 data points.
Non-Tested TEKS:
8.11C: Simulate generating random samples of the same
size from a population with known characteristics to develop
the notion of a random sample being representative of the
population from which it was selected.
Process TEKS:
Engage:
Explore:
Engage:
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Explore:
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
Explain:
Elaborate:

Explain:
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Spiral Review #10
Essential Question: “How can you use sampling to solve real world problems?”
Essential Question: “How can you determine and use the mean absolute deviation of a set of data points?”
Open the class to a discussion based on “Real World Video” from Unit 6, Module 15 on my.hrw.com in groups.
Circulate to foster higher level academic discussions.
Allow students to work in groups or partners to read over and practice the “Are YOU Ready” in Go Math: Grade
8 Student Edition from Module 15 on page 410.
This is a perfect opportunity to work in small groups to complete reteaches. The students who struggle with this
concept can work through finishing “Are YOU Ready?” at the teacher table while students who have mastered
the concept to begin the “Active Reading: Layered Book” and explore the concept on student laptops/desktops
in groups.
Objective/Key Understanding:
The student will work with random samples and predict trends in a population.
The student will calculate the mean absolute deviation and apply to real world.
Small Group Purposeful Talk Question Stems:
The mean absolute deviation is an advanced method for quantifying the amount of variability in the data.
 Why would the mean absolute deviation be used to compare two sets of data?
 What does the mean absolute deviation represent?
Random samples of the same size from a population are representative of the population from which it was selected.
 How are random samples of a population with known characteristics generated?
 Why are random samples of a population with known characteristics representative of the population from
which it was selected?
Closing Product/ Question/ Informal
Assessment:
Statistical data can be represented and described in various ways.
*How can representations and descriptions of data influence
conclusions and/or predictions?
*A problem-solving model can be applied to critically reason through
various problem situations in order to solve problems and analyze
solutions.
*How can the information in a problem be analyzed to determine the
question being asked and the relevant information provided and/or
needed?
HMH GO Math,
Lesson 15.1, pgs
413-420.
ISN (student
journal)
Take notes and glue in interactive notebook. Notes are located “Reading Start Up” from Module 15.
Have the rest of the class complete the “Active Reading: Layered Book.”
Complete the “What it Means to You” and allow students to find ways this Unit will apply to their everyday life.
Have students work the “Explore Activity: Real World” from page 413 in the Go Math: 8th Grade Student Edition.
8.1A: Apply mathematics to problems arising in everyday life,
society, and the workplace.
8.1C: Select tools, including real objects, manipulatives, paper and
Evaluate:
pencil, and technology as appropriate, and techniques,
including mental math, estimation and number sense as appropriate,
to solve problems.
Stop & Check for Understanding—High Level Questions
8.1D: Communicate mathematical ideas, reasoning, and their
implications using multiple representations, including symbols,
diagrams, graphic and language as appropriate.
The mean absolute deviation provides the average variation of the data from the mean.
8.1E: Create and use representations to organize, record, and
 What process is used to find the mean absolute deviation?
communicate mathematical ideas.
 How can the distribution of data be described using the mean absolute deviation?
8.1F: Analyze mathematical relationships to connect and
communicate mathematical ideas.
 What is the relationship between the mean absolute deviation and the distance of data
8.1G: Display, explain, and justify mathematical ideas and
points on a number line?
arguments using precise mathematical language in written or oral
communication.
ELPS: c.4.D
M T W TH F
Vocabulary:
mean absolute deviation
sample
population
simulation
random sample
Critical Writing Prom Misconceptions:
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Students may confuse the group being
surveyed with the entire population.
Students might confuse the terms mean and
median, and how to calculate each measure.
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Students may incorrectly find the absolute value
of the difference between each data value and
the mean when calculating the mean absolute
deviation. .
Underdeveloped Concepts:

Some students may forget to divide after adding
when finding the mean.
Rigor & Relevance: Real World Connection:
1) The average temperature in Austin, Texas
pt:
between the months of April and June is 76°F.
a) Design a simulation that can be used to
generate a random sample of the high and low
temperatures between the months of April and
June for ten days in Austin, Texas, with or without
technology.
b) Complete the simulation to identify a random
sample of the high and low temperatures for ten
days in Austin, Texas.
c) Organize a table to display the generated dates
and the high and low temperatures for those
dates.
d) Analyze and compare the spread of the data
for the high and low temperatures with the range
and mean absolute deviation of the high and low
temperatures.