Discipline: Mathematics
Originator: Rogelio Ruiz
Riverside Community College District
Integrated Course Outline of Record
Mathematics
37
MAT37 : PreStatistics 
College:
Lecture Hours:
72.000 Lab Hours: 54.000 OutsideofClass Hours: 144.000 Units: 5.00 Grading Methods: Pass/No Pass Letter Grade 
Course Description
Prerequisite:
MAT65 or qualifying placement level
Course Credit Recommendation:
NonDegree Credit
This is an intensive course that prepares students for transferlevel Statistics. Topics include working with numerical information(fractions,decimals, percentages), evaluating expressions related to statistical formulas, graphical and numerical descriptive statistics for quantitative and categorical data. Twoway tables, linear correlation and regression and an introduction to normal distribution. There is a focus on reading, writing, and critical thinking skills needed for college statistics. This course is appropriate for students who do not plan to major in math, science, computer science, business, technology, engineering and calculus intense fields in the social sciences. 72 hours lecture and 54 hours lab. Letter grade or pass/no pass option.
Short Description for Class Schedule
Math 37 prepares the student for collegelevel Statistics (Math 12). In Math 37 the student will work on projects and collaborative activities that develop math skills, as well as reading, writing and critical thinking skills. This course is for students who DO NOT plan to major in math, science, computer science, business, technology, engineering and calculus intense fields in the social sciences.
Entrance Skills:
Before entering the course, students should be able to demonstrate the following skills:
Apply the four basic operations to integers and rational numbers.
 MAT65  Apply the principles of arithmetic on whole numbers, fractions, mixed numbers, and decimals without the use of any calculating device.

Solve applications using ratios, proportions and percents.
 MAT65  Apply percents to real world problems.
 MAT65  Solve applications using whole numbers, integers, fractions, mixed numbers, ratios and proportions, and decimals.

Apply the fundamental properties of algebra to simplify basic algebraic expressions.
 MAT65  Apply the fundamental laws of algebra to evaluate and/or simplify basic algebraic expressions and perform the four basic operations on polynomial expressions.

Solve basic linear equations.
 MAT65  Solve multistep linear equations and derive basic linear equations from elementary applications.

Communicate mathematical concepts using the vocabulary of algebra.
 MAT65  Use the symbols and vocabulary of arithmetic and prealgebra to communicate mathematical concepts.
Student Learning Outcomes:
Upon successful completion of the course, students should be able to demonstrate the following skills: Produce a coherent and wellreasoned descriptive analysis of data, based on numerical and graphical representations, to answer a research question.
 Communication Skills: Students will be able to communicate effectively in diverse situations. They will be able to create, express, and interpret meaning in oral, visual, and written forms. They will also be able to demonstrate quantitative literacy and the ability to use graphical, symbolic, and numerical methods to analyze, organize, and interpret data.
 Distinguish between observational studies and experiments and identify studies for which a causeandaffect conclusion is appropriate.
 Critical Thinking: Students will be able to demonstrate higherorder thinking skills about issues, problems, and explanations for which multiple solutions are possible. Students will be able to explore problems and, where possible, solve them. Students will be able to develop, test, and evaluate rival hypotheses. Students will be able to construct sound arguments and evaluate the arguments of others.
 Demonstrate numerical, algebraic, and geometric reasoning skills to support statistical analysis.
 Communication Skills: Students will be able to communicate effectively in diverse situations. They will be able to create, express, and interpret meaning in oral, visual, and written forms. They will also be able to demonstrate quantitative literacy and the ability to use graphical, symbolic, and numerical methods to analyze, organize, and interpret data.
 Construct, use, and interpret mathematical models, specifically linear models to represent relationships in quantitative data and normal probability models to identify unusual events for a quantitative variable.
 Communication Skills: Students will be able to communicate effectively in diverse situations. They will be able to create, express, and interpret meaning in oral, visual, and written forms. They will also be able to demonstrate quantitative literacy and the ability to use graphical, symbolic, and numerical methods to analyze, organize, and interpret data.
 Use effective learning strategies for success in college.
 SelfDevelopment & Global Awareness: Students will be able to develop goals and devise strategies for personal development and wellbeing. They will be able to demonstrate an understanding of what it means to be an ethical human being and an effective citizen in their awareness of diversity and various cultural viewpoints.
Course Content:
 Performing Operations
 Ratios, Proportions and Percents
 Converting Units
 Exponents, Square Roots and Order of Operations
 Scientific Notation
 Designing Observations Studies and Experiments
 Simple Random Sampling
 Systematic, Stratified and Cluster Sampling
 Graphical Tabular Displays of Data
 Types of Data
 Frequency Tables, Relative Frequency Tables, Bar Graphs
 Pie Charts, Two Way Tables
 Dotplots and Stemplots
 Histograms
 Measures of Central Tendency
 Mean, Median, Mode
 Distribution shapes
 Measures of Variation
 Range
 Variance and Standard Deviation
 Empirical Rule
 Measure of Relative Position
 zScores
 Percentiles and Quartiles
 Boxplots
 Computing Probabilities
 Introducing Probability
 Complement and Addition Rules
 Conditional Probability and the Multiplication Rule
 The Normal Distribution
 Finding Areas Under the Normal Distribution Curve
 Interpreting area as probabilities
 Application of the Normal Distribution
 Graphing Linear Equations and Linear Models
 Graphing Equations of Lines
 Rate of Change and Slope of a Line
 SlopeIntercept Form
 Writing Equations of Lines
 Linear Models
 Solving Linear Equations in One Variable
 Solving Formulas
 Solving Linear Inequalities in One Variable
 Solving Linear Equations and Inequalities
 Correlation and Regression
 Scatterplots and Correlation
 Correlation Coefficient
 The Regression Line
 Predictions and Residuals
 Linear Regression Models
 Exponential Models
Methods of Instruction:
Methods of instruction used to achieve student learning outcomes may include, but are not limited to, the following activities:
 Class lectures, discussions, and demonstrations to introduce concepts, such as mathematical models and relationships, as well as providing "just in time" instruction on topics such as demonstrating numerical and algebraic reasoning skills to support statistical analysis.
 Use of computerbased tools to effectively find sources of data, and to analyze data and construct graphs.
 Provision and employment of a variety of media (audio, visual, and tactile) to address multiple learning styles and to reinforce material.
 Collaborative learning methods will be employed to promote statistical exploration and to enhance problem solving skills.
Methods of Evaluation:
Students will be evaluated for progress in and/or mastery of student learning outcomes using methods of evaluation which may include, but are not limited to, the following activities:
 Evaluation of written homework assignments and/or computerized homework assignments for correct application of statistical concepts as well as the correct useage of graphs and vocabulary.
 Evaluation of quizzes, tests, and a final exam for conceptual understanding and correct technique in the application of statistical, algebraic, and arithmetic principles (e.g., interpretation and construction of charts and graphs; evaluation of algebraic expressions, and use of percents and fractions).
 Assessment of classroom explorative and collaborative activities for content knowledge and conceptual understanding.
Sample Assignments:
OutsideofClass Reading Assignments
 Read and analyze textual material from a variety of sources, including newspapers or journals covering data collection, data analysis, study designs, and interpretations of data.
OutsideofClass Writing Assignments
 Students will write summaries that describe various data sets, show organizations of data, and communicate the results of data analysis.
Other OutsideofClass Assignments
 Students will be given homework assignments that address arithmetic/algebraic concepts necessary for statistical computations, e.g., fractions, decimals, percentages, order of operations, and solving equations. Projects will be assigned that require students to formulate questions that can be addressed with data, and then collect, organize, display, and analyze the data to address their questions. Projects will show whether students can apply the basic principles of study design and construct, use, and interpret mathematical models to represent relationships in quantitative data.
Course Materials:
All materials used in this course will be periodically reviewed to ensure that they are appropriate for college level instruction. Possible texts include the following:
 Bennett, Briggs and Triola. Statistics Reasoning For Every Day Life. 4th Pearson Education, Inc., 2014.
 Lehmann. A Pathway to Introductory Statistics. 1st Pearson Education, Inc., 2016.
 StatCrunch. Software. 1st. Pearson,
 Minitab. Software. 18. Minitab, Inc.,
Codes/Dates:
CB03 TOP Code:
1701.00  Mathematics, General
CB05 MOV Transfer Status: NonTransferable (C)
CB05 NOR Transfer Status: NonTransferable (C)
CB05 RIV Transfer Status: NonTransferable (C)
CB05 MOV Transfer Status: NonTransferable (C)
CB05 NOR Transfer Status: NonTransferable (C)
CB05 RIV Transfer Status: NonTransferable (C)
Board of Trustees Approval Date:
11/13/2018
COR Rev Date:
11/13/2018