Download Unit 3

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Foundations of statistics wikipedia , lookup

Inductive probability wikipedia , lookup

History of statistics wikipedia , lookup

Probability amplitude wikipedia , lookup

Misuse of statistics wikipedia , lookup

Transcript
Subject: Math
Grade Level: 7
Big Idea/Theme: Data Analysis and Probability
Unit 3 Title: What’s the Chance?
Timeframe Needed for Completion: 7 weeks
Grading Period: 2nd /3rd 9 wks.
Understandings:
 Calculate and interpret the mean, median, mode, range and interquartile range, MAD and other data for a set of data and their
effects on a graph.
 Identify the effect of the outlier on the mean, median, mode, and range.
 Create and analyze box plots and histograms
 Fluency in problem solving skills- draw a diagram, systemic list, create a physical representation (See “Crossing the River with
Dogs” book)
 Understand the differences between experimental and theoretical probability
 Understand the differences between experimental, theoretical and compound events probability.
 Predict and compare data from given tables, charts and graphs.
Curriculum Goals/Objectives:
Common Core Standards:
2012-13
Draw informal comparative inferences about two
populations.
7.SP.3 Informally assess the degree of visual overlap of two
numerical data distributions with similar variability, measuring
the difference between the centers by expressing it is a multiple
of a measure of variability.
7.SP.4 Use measures of central tendencies of variability for
numerical data from random samples to draw informal
comparative inferences about two populations.
Use random sampling to draw inferences about a population.
7.SP.1 Understand that statistics can be used to gain information
about a population by examining a sample of the population.
7.SP.2 Use data from a random sample to draw inferences about
a population with an unknown characteristic of interest.
Investigate chance processes and develop, use, and evaluate
probability.
7.SP.5 Understand that the probability of a chance event is a
number between 0 and 1 that expresses the likelihood of the
event occurring.
7.SP.6 Approximate the probability of a chance event by
collecting data on the chance process that produces it and
observing its long-run relative frequency and predicts the
approximate relative frequency given the probability.
7.SP.7 Develop a probability model and use it to find
Essential Questions:
 How does “chance” influence/impact outcome?
 Why is data collection important?
 How do the measures of central tendency relate to your life?
 Why do you use averages?
 How much does population comparisons and predictions of data?
 Why is it necessary to compare multiple events?
 How does the type of data determine the choice of display?
 What are some things to consider when you are planning on conducting a
survey?
 How is a dot plot similar to a histogram?
Assessment Tasks:
 Analyze sports statistics
 DLIQ Summary (See AVID Math 1 book)
 Quickwrites
 Projects based on real world situations
 ClassScape
 “Who’s the Best Activity” (located NC DPI Blackline Masters): Choose the
best player based on graphical representation through collaboration with
classmates. Percentages were found in the unit before, this activity is
continuous.
probabilities of events.
7.SP.8 Find probabilities of compound events using organized
lists, tables, tree diagrams, and simuations.


Horse Race Activity: Understanding Theoretical and Experimental
Probability. At MMS see Jennifer Powell for resource, at CCMS see Lindsey
Cahoon for resource.
Reaction Time Activity (located in NC DPI Blackline Masters)
Essential Skills/Vocabulary:
Box and whisker plot
Quartiles
Median
Extremes
Outlier
Range
Measures of central tendency
Interquartile range
Histograms
Theoretical probability
Experimental probability
Box plots
Mean Absolute Deviation
Dot plot (frequency/scatter)
Predictions
Comparisons
Compound Event
Materials Suggested:
NCDPI Resources:
http://www.ncpublicschools.org/curriculum/mathematics/middlegrades/grade08/
http://mathlearnnc.sharpschool.com/cms/One.aspx?portalId=4507283&pageId=5149151
National Library of Manipulatives
http://nlvm.usu.edu/en/nav/vlibrary.html
NCTM Illuminations
http://illuminations.nctm.org/
Lesson Plan sites and Activities:
http://www.lessonplanspage.com/Math.htm
http://www.ilovemath.org
Math Graphic Organizers
http://www.enchantedlearning.com/graphicorganizers/math/
Common Core
http://www.dpi.state.nc.us/acre/
AVID Library/Write Path Books
SMART Board Lessons
exchange.smarttech.com