MATH 128 - Mathematics for Elementary Education II

1. Create tables and graphs such as line plots, bar graphs, circle graphs, pictographs, stem-leaf plots, box plots, histograms, and scatter plots to represent data.
2. Calculate and evaluate measures of central tendency such as mean, median and mode; measures of spread such as range, interquartile range and standard deviation; and measures of relative standing such as z-scores and percentiles.
3. Evaluate methods of data collection.
4. Demonstrate an understanding of equally likely events, complementary events, mutually exclusive events and independent events.
5. Calculate probabilities using the equally likely rule, the addition rules for mutually exclusive and non-mutually exclusive events, the complement rule, and the multiplication rules for independent and dependent events.
6. Demonstrate an understanding of counting techniques such as the Fundamental Counting Principle, permutations and combinations.
7. Calculate the odds in favor of and the odds against a particular event.
8. Write a simulation using random integer generators or a table of random digits to estimate a probability of some event for an experiment that has equally likely outcomes at each stage and for an experiment that does not have equally likely outcomes at each stage.
9. Calculate probabilities using z-scores for bell-shaped curves.
10. Write expressions for quantities such as “the change from x to y,” “x added to y,” etc. and evaluate them using order of operations.
11. Solve and graph linear and quadratic equations.
12. Use linear regression and quadratic regression with technology (such as Excel, a TI-84 or TI-73 calculator, or www.statcrunch.com, but not SAS or SPSS) to describe the relationship between variables to understand the difference between constant and varying rates of change.
13. Solve and graph linear inequalities.
14. Solve a variety of application problems in the above areas.
15. Use manipulatives and technology to support teaching and learning in topics studied.
16. Use computer technology, which may include the Internet, the Web, email, manipulatives, or computer software to enhance the course objectives.

• Sampling and data types
• Graphs for both qualitative and quantitative data
• Measures of center, variation, and position
• Outliers and their influence
• Sampling distributions
• Experimental and theoretical probabilities
• Simulations with objects and with random number generators
• Probability rules for addition and multiplication
• Combinations and permutations
• Normal curves
• Evaluating expressions
• Classifying equations
• Solving linear and quadratic equations
• Solving linear inequalities
• Linear and quadratic regression

 
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