Mathematics Statistics

Quarter I  Unit Titles Displaying and describing categorical variables Displaying and describing quantitative variables Describing distributions numerically Standard Deviation and the Normal Model  Learning Outcomes

• Identify the 5 W's of statistics
• Identify, describe and manipulate bar graphs, pie charts, histograms, stem and leafs diagrams, dot plots, scatterplots and time plots
• Be able to use these diagrams to analyze and report on trends that may exist in the data. (reporting on relationships and or associations)
• Translate particular data values into Z-scores
• Utilize Z-scores (normalized data), standard deviation and 5 number summaries to make assumptions/determinations about particular data values

  Significant Tasks

• Race and Death Penalty
• Dollars for Students
• Auto Safety

  Support Materials

• Graphing calculators
• Data desk

   Quarter II  Unit Titles Scatterplots, association and correlation Linear Regression Re-expressing data  Learning Outcomes

• Identify and describe linear relationships (form, shape, strength)
• Run linear regression and create linear models
• Utilize and describe the models in order to calculate residuals as well as comment on the usefulness and accuracy of the model
• Re-express non-linear data into a linear form in order to run regression

  Significant Tasks

• ESP
• Backhoes and Forklifts

  Support Materials

• Graphing calculators
• Data desk

   Quarter III  Unit Titles Collecting Data – Surveys, Samples, Experiments, Observational Studies Probability and probability rules Binomial and Geometric Probability  Learning Outcomes

• Understanding randomness
• Use random number tables to run simulations
• Use general probability rules in order to determine percentages
• Work with the Binomial and Geometric probability models
• Determine means, standard deviations and expected values using the above mentions rules and models.

  Significant Tasks

• M&M's Model
• Coin Flipping

  Support Materials

• Graphing calculators
• Data desk

   Quarter IV  Unit Titles Confidence Intervals for Proportions Testing Hypotheses about Proportions Comparing Two Proportions Confidence Intervals for Means Testing Hypotheses about Means Comparing Two Means  Learning Outcomes

• Develop multiple confidence intervals around sample proportions
• Develop multiple confidence intervals around sample means
• Develop inference skills and test hypotheses testing ability using proportions and means
• Be able to identify changes in populations using t-tests and z-tests
• Identify changes in type I and type II errors depending on confidence levels (beta-levels) and rejection levels (alpha-levels)
• Determines changes in the difference between two populations with repects to means and proportions.

  Significant Tasks

• SAT Performance

  Support Materials

• Graphing calculators
• Data desk