MATH 065: Corequisite Support For Introductory Statistics

• Graphically represent the distribution of categorical and quantitative data. \\n
• Compare related data sets using numerical measures and appropriate graphical representations and communicate findings in the context of data.
• Set up two-way tables for bivariate categorical data and use appropriate marginal and conditional percents to investigate relationships and answer questions.
• Identify the place-value structure of the base-ten number system and are able to represent and compare rational numbers (including negative rationals) in decimal form and their approximate location on the number line.
• Recognize, generate, and fluently use equivalent forms of fractions, decimals, and percentages.
• Identify, compare, and explain the contextual meaning of fractions that represent the marginal distribution of a single categorical variable.
• Identify, compare, and explain the contextual meaning of fractions that represent the relationship of two categorical variables in a conditional distribution.
• Explain and apply the concept of variables as representations of quantities.
• Explain and apply the concept of a function and interpret functions as communicating relationships between variables.
• Recognize the difference between variables and parameters in general forms of linear models.
• Identify relationships that are proportional, define the constant of proportionality in the context of the problem, and use proportional reasoning to solve problems.
• Relate proportionality to linearity as well as the concept of slope.
• Solve linear equations.
• Use the order of operations to evaluate statistical formulas by hand and with technology.
• Describe statistical measure (e.g. mean, variance, standard deviation, least squares, correlation coefficient) and its characteristics by referencing symbolic form.
• Construct, use, and interpret mathematical models, specifically linear functions to represent and communicate relationships in quantitative data.
• Consistently apply effective learning strategies for success in college. Students will demonstrate that they can apply effective learning strategies if they:\\na. attend class regularly;\\nb. turn in assignments on time;\\nc. work productively with peers on group assignments;\\nd. seek help from peers, teacher, and other resources when necessary;\\ne. set up and maintain their notebook;\\nf. use rubric criteria to assess performance on assignments and make improvements; and\\ng. meet with a counselor to develop an educational plan.

 A just-in-time approach to:

1. Topics from pre-algebra and beginning algebra
   1. Order of operations
   2. Performing arithmetic operations on signed numbers
   3. Graphing fractions, decimals, and signed numbers on a number line.
   4. Comparing fractions with the same and different denominators
   5. Comparing fractions, decimals, percentages.
   6. Identifying fractions and percentages that describe part of a whole (marginal distributions)
   7. Identifying fractions and percentages that describe the impact of one quantity on another (conditional  distributions)
   8. Relative versus absolute difference
   9. Graphing in the Cartesian coordinate system
   10. A graph as the set of solutions to an equation
   11. Proportions and linearity
2. Topics from Intermediate Algebra
   1. Evaluating expressions
   2. Scatterplots
   3. Solving linear equations
   4. Linear functions, constant rate of change, graphing, interpreting slope and y-intercept in context
3. Graphs of distributions of categorical data: bar charts and pie charts
4. Contingency tables: marginal and conditional distributions
5. Measures of center and associated measures of spread: mean, variance, standard deviation, median, quartiles, and percentiles
6. Graphs of univariate distributions of quantitative data: histograms and boxplots
7. Topics related to developing effective learning skills:
   1. Study skills: organization and time management, test preparation, and test taking skills
   2. Self-assessment: using performance criteria to judge and improve one's own work, analyzing and correcting errors on one's test