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