Roselle School District

Unit 9

Essential Question(s) / Enduring Understanding(s)
Is it possible to manipulate data to alter the way the data is perceived?
What is the most appropriate measure of central tendency given specific data sets? / Data analysis explores the relationships between and among populations and/or samples.
Choices in data collection and representation affect their interpretation and use.
Common Core Standards, 2010
S&P 1. Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.
S&P 2. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
S&P 3. Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability..
S&P 4. Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
5.1.8 B 2 Evaluate and locate the areas with heavy overpopulation in the U.S. and the world
5.4.8 A4 Analyze data regarding the motion of planets and moons to find general patterns of orbital motion
W.7.2. Write informative/explanatory texts to examine a topic and convey ideas, concepts, and information through the selection, organization, and analysis of relevant content.
Learning Expectations
TLWBAT… / Activities/Resources / Student Strategies / Formative Assessments / Technology Infusion/Resources
Select and use appropriate representations for sets of data, and measures of central tendency (mean,median, and mode).
. Type of display most appropriate for given data
. Box-and-whisker plot, upper quartile, lower quartile
Scatter plot
Calculators and computer used to record and process information / Activate prior knowledge with measures of central tendency video on brainpop.com
Review mean, median, mode, and range
Disappearing M’s Activity:
Distribute a bag with more than 64 M&Ms to each pair or group of students
Have students pour the contents of their bag onto the desktop and discard any M&Ms that do not have an M on exactly one side
Place 64 M&M’s back into your bag
Pour the M&M’s from the bag onto the desk and remove any M&M’s that do not have an M showing
Record the results of your first trial on your data table ad repeat the process until there are no M&M’s remaining on your desk
Collect data from the entire class and calculate the mean, median, and mode for the data
Create a table showing the average values
Graph the data in a Scatter Plot and describe any patterns that you see
Write a function rule that approximately fits the data for the class results
(Lessons for Algebraic Thinking pgs. 184-185) / Small group instruction
Individualized instruction
Peer tutoring
Use of manipulatives
Choice activities
Chunking information
Rephrasing of questions
Working with partner / Exit ticket
Journal entry
Do now
Quiz
Test
Oral questioning
Homework
Examine statistics to gain information about a sample of the population
Make generalizations about a populations based upon the sample
Utilize random sampling to produce representative samples and support inferences from the random sampling
Utilize random samples to draw inferences about a population with unknown characteristics / Students identify and analyze sampling methods and make generalizations about a population based upon the sample (pgs. 462-464 Course 3)
Hands-on Lab: Explore Samples
(Holt McDougal Course 3 Text pg. 466)
(Holt McDougal Course 2 Text pg. 418 -421)
Reese’s Pieces Activity Population Sampling
Students participate in population sampling activity using Reese’s Pieces candy
E:\math curriculum\Reese's Pieces Activity Sampling from a Population.mht / Small group instruction
Individualized instruction
Peer tutoring
Use of manipulatives
Computer activities for remediation
Chunking information
Rephrasing of questions
Working with partner / Exit ticket
Journal entry
Do now
Quiz
Test
Oral questioning
Minute paper
http://www.biologycorner.com/worksheets/interpreting_data.html
Generate samples of the same size to determine the variation in estimates or predictions
Assess visual overlap of two numerical data distributions with similar variability by creating graphs
Measure the difference between the centers by expressing it as a multiple of a measure of variability
Draw informal comparative inferences about two populations by using measures of center and measures of variability for numerical data / Activity 1: Population Explosion
E:\math curriculum\Population Explosion activities.mht
Students examine U.S. Census Bureau’s World Population Clock and analyze data and make predictions based upon the data
Activity 4: Population Growth Rates E:\math curriculum\Population Growth Rates activity.mht
Students examine population growth rates by examining data / Small group instruction
Individualized instruction
Peer tutoring
Use of manipulatives
Computer activities for remediation
Choice activities
Chunking information
Rephrasing of questions / Exit ticket
Do now
Quiz
Test
Oral questioning
Homework