Unit 6-Outline-Statistics

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Mathematics Course Outline
UNIT
TOPIC
WEEK
April 12th16th
UNIT 6 – Statistics
April 19th23rd
April 26thApril 30th
May 3rd7th
May 10th14th
LESSON
Year 9
Term 3- Unit 6 – Statistics
LESSON
LESSON
Accessing prior knowledge
Collect primary data for use in
an investigation (distribute
assessment task data
investigation to students)
Collecting data
• What is a census? What is a
sample? What is a population?
What is a representative
sample?
Collecting data
• Random versus stratified
sampling. Taking class samples.
 Collect primary data for use in
an investigation (continue
using data investigation
assessment task for variables
of interest)
Consolidating statistical
variables
• Identifying statistical variables
as nominal, ordinal, continuous
or discrete.
Collecting measures of central
tendency / spread
• Identify measures of center
and spread.
• Estimate/Calculate the mean,
median, mode and range of a
set of data
Collecting measures of central
tendency / spread
• Calculate 5-figure summary
(sample minimum, Q1, Median,
Q3, sample maximum).
• Calculate IQR (inter quartile
range)
Collecting measures of
central tendency / spread
• Calculate standard
deviation.
• Worked examples
• What is variation in data?
-
Collecting measures of central
tendency / spread
• Understand normal curve as a
probability distribution.
• Relate SD to observed /
predicted data
Displaying and describing data
• Construct histograms
• Relate histogram to bell
curve.
(univariate data analysis)
Review and consolidation
Displaying and describing data
•Construct frequency table
construct stem and leaf plots
(univariate data analysis)
Displaying and describing
data
•Construct frequency table
construct stem and leaf plots
(univariate data analysis)
Displaying and describing data
• Construct box and whisker
plots
(univariate data analysis)
Displaying and describing data
• Displaying results of bivariate
data analysis
• Construct scatter plots
• Construct back-to-back
stem/leaf plots
Displaying and describing data
• Evaluating relationships
between variables
• What is correlation?
• Examine coefficients of
correlation
Displaying and describing data
• Evaluating relationships
between variables
• What is correlation?
• Examine coefficients of
correlation
•Calculating Spearman’s Rank
Correlation coefficient
Displaying and describing
data
• Displaying results of
bivariate data analysis
• Construct scatter plots
• Construct back-to-back
stem/leaf plots
Displaying and describing
data
• Evaluating relationships
between variables
•Calculating Spearman’s Rank
Correlation coefficient
Displaying and describing data
• Describing bivariate data.
• Using statistical language
such as ‘skewed’, ‘bimodal’,
and symmetric
• Summarize bivariate data
• Describe compared data as
bimodal, identify outliers, and
analyze scatterplots
Review concepts of collecting
measures of center and spread
2014/2015
LESSON
Collecting data
• Random versus stratified
sampling. Taking class samples

Collect random and
stratified class data
LESSON
Consolidating statistical variables

Identify data as continuous,
ordinal, nominal or count

differentiate between
continuous, count, ordinal and
nominal variables
ASSESSMENT/
DUE DATES
Assessment task:
Data
Investigation
handed out
Collecting measures of central
tendency / spread
• Calculate standard deviation.
• Relate SD to observed / predicted
data
• Understand normal curve as a
probability distribution.
Displaying and describing data
• Construct histograms
• Relate histogram to bell curve.
(univariate data analysis)
Displaying and describing data
• Describing single variable data.
Using statistical language
• Summarize univariate data
• Describe measures of central
tendency, and variation in data
Review and consolidation
Assessment task:
Review concepts of displaying and
describing data
Data
investigation
using Census
Australia
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