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