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