Mathematics Statistics

  • 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